From d33acfabbf3fcbe2308ad6eb60d96bb0d0e483e8 Mon Sep 17 00:00:00 2001 From: Nils Berglund <83530463+nilsberglund-orleans@users.noreply.github.com> Date: Sun, 29 Oct 2023 15:48:51 +0100 Subject: [PATCH] Add files via upload --- Parameters.md | 9750 ++++++++++++++++++++++++++++++++++++++++++++++++- 1 file changed, 9700 insertions(+), 50 deletions(-) diff --git a/Parameters.md b/Parameters.md index 8b94be0..84b4c64 100644 --- a/Parameters.md +++ b/Parameters.md @@ -9,8 +9,4524 @@ function animation. Some simulations use variants of the published code. The lis updated gradually. +### 29 October 23 - A first attempt at simulating the Coandă effect ### -### 2 September 23 - A rotating triangle in a granular medium ### +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1600 /* window width */ +#define WINHEIGHT 900 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 25 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 2 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.01 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 101 /* number of grid point for grid of disks */ +#define NGRIDY 47 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3200 /* number of frames of movie */ +#define NVID 15 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 1000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 7.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 6.5 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.02 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 6.5 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 1000.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define V_INITIAL_TYPE 1 /* type of initial speed distribution (see VI_ in global_ljones.c) */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 10000.0 /* value of electric field */ +#define ADD_BFIELD 0 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE 0.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 0 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 0.0 /* initial position of segments */ +#define SEGMENTS_Y0 -0.6 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 0 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 60 /* size of hashgrid in x direction */ +#define HASHY 30 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 28 October 23 - An asteroid impact at point Nemo, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(123.3*PI/180.0, -48.8*PI/180.0, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.6 /* scaling for Julia sets */ +#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 1 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 75.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 2 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-5.0, 8.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 27 October 23 - A plasma with Coulomb interaction in electric and magnetic fields ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 12 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 12 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */ +#define MU 0.008 /* parameter controlling radius of particles */ +#define MU_B 0.018 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 70 /* number of grid point for grid of disks */ +#define NGRIDY 35 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2600 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT -0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 50.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 400.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define V_INITIAL_TYPE 0 /* type of initial speed distribution (see VI_ in global_ljones.c) */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 50000.0 /* value of electric field */ +#define ADD_BFIELD 1 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 1 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 80 /* size of hashgrid in x direction */ +#define HASHY 40 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 26 October 23 - An asteroid impact at point Nemo ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(123.3*PI/180.0, -48.8*PI/180.0, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.6 /* scaling for Julia sets */ +#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 1 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 75.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 2 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-5.0, 8.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 25 October 23 - A plasma with Coulomb interaction in an electric field ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 12 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 12 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */ +#define MU 0.008 /* parameter controlling radius of particles */ +#define MU_B 0.018 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 70 /* number of grid point for grid of disks */ +#define NGRIDY 35 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2600 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT -0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 50.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 400.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define V_INITIAL_TYPE 0 /* type of initial speed distribution (see VI_ in global_ljones.c) */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 50000.0 /* value of electric field */ +#define ADD_BFIELD 0 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 1 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 80 /* size of hashgrid in x direction */ +#define HASHY 40 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 24 October 23 - Waves on a planet with a cubic Julia set continent, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** +``` + init_circular_wave_sphere(1.0 - PI/9.0, 0.15, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + DPI/3.0, 0.15, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0, 1.0 - PI/9.0 + 2.0*DPI/3.0, 0.15, phi, psi, xy_in, wsphere); +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1150 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.6 /* scaling for Julia sets */ +#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 85 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP -0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 0 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 12 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 0.75 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 1 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {3.0, -10.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 0 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.05 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 23 October 23 - Prelude to the Coandă effect – Kinetic energy and velocity ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 2 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.008 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 101 /* number of grid point for grid of disks */ +#define NGRIDY 47 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2200 /* number of frames of movie */ +#define NVID 25 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 13 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.25 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 1.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.02 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 5.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 400.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define V_INITIAL_TYPE 1 /* type of initial speed distribution (see VI_ in global_ljones.c) */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 2000.0 /* value of electric field */ +#define ADD_BFIELD 0 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE 0.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 0 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 1 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 60 /* size of hashgrid in x direction */ +#define HASHY 30 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 22 October 23 - Flooding Mars ### + +**Program:** `earth_sealevel.c` (variant of `wave_sphere.c`) + +**Part 1:** + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 4096 /* number of grid points on x axis */ +#define NY 2048 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 86 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 1 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 0 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {0.0, 8.0, 2.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.15 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 5 /* number of smoothening steps */ +#define DEM_SMOOTH_HEIGHT 1.0 /* relative height below which to smoothen */ +#define DEM_MAXHEIGHT 28000 /* max height of DEM (estimated from Everest) */ +#define DEM_MAXDEPTH -10000 /* max depth of DEM */ + +#define MAXHEIGHT 8000.0 /* max sea level height */ +#define MAXDEPTH 4000.0 /* max sea level depth */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +**Part 2:** + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN -75.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.6 /* scaling for Julia sets */ +#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3700 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 1 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 450.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 11 /* type of viewpoint trajectory */ +#define MAX_LATITUDE -45.0 /* maximal latitude for viewpoint trajectory VP_ORBIT2 */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-6.0, 3.0, 0.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 1.5 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */ + +``` + +### 21 October 23 - How would the Earth look like with sinking sea levels ? ### + +**Program:** `earth_sealevel.c` (variant of `wave_sphere.c`) + +**Part 1:** + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-8.0, 2.0, 6.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 1 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 5 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ +#define DEM_MAXDEPTH -10000 /* max depth of DEM */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +**Part 2:** + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-8.0, 2.0, 6.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 1 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 5 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ +#define DEM_MAXDEPTH -10000 /* max depth of DEM */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +**Part 3:** + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, 0.40824829, -0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, -2.0, -6.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 1 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 5 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ +#define DEM_MAXDEPTH -10000 /* max depth of DEM */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 20 October 23 - Prelude to the Coandă effect ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 2 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.008 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 101 /* number of grid point for grid of disks */ +#define NGRIDY 47 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2200 /* number of frames of movie */ +#define NVID 25 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 1000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.25 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 1.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.02 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 5.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 400.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define V_INITIAL_TYPE 1 /* type of initial speed distribution (see VI_ in global_ljones.c) */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 2000.0 /* value of electric field */ +#define ADD_BFIELD 0 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE 0.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 0 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 1 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 60 /* size of hashgrid in x direction */ +#define HASHY 30 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 19 October 23 - Waves with cubic symmetry on a sphere, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_wave_flat_sphere(phi, psi, xy_in, wsphere); + + for (j=0; j<3; j++) + { + a = circ_sphere[4].x; + b = circ_sphere[4].y; + c = 1.0 + circ_sphere[4].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere); + + a = circ_sphere[1].x; + b = circ_sphere[1].y; + c = 1.0 + circ_sphere[1].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 + PI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0, theta - PID, phi, psi, xy_in, wsphere); + + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 + PI/6.0, 0.0, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 - PI/6.0, 0.0, phi, psi, xy_in, wsphere); + } +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2000 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.0 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 90.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.25 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 112 +#define CPLOT_B 113 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.40824829, 0.40824829, 0.816496581}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 18 October 23 - Pressure distribution around an airfoil in a granular medium ### **Program:** `lennardjones.c` @@ -39,8 +4555,8 @@ updated gradually. #define INITXMIN -2.0 #define INITXMAX 2.0 /* x interval for initial condition */ -#define INITYMIN -1.125 -#define INITYMAX 1.125 /* y interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ #define ADDXMIN -1.97 #define ADDXMAX -0.8 /* x interval for adding particles */ @@ -62,10 +4578,10 @@ updated gradually. #define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ #define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ -#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ #define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ -#define SEGMENT_PATTERN 21 /* pattern of repelling segments, see list in global_ljones.c */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ #define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ #define ROCKET_SHAPE_B 3 /* shape of second rocket */ #define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ @@ -73,6 +4589,7 @@ updated gradually. #define TWO_TYPES 0 /* set to 1 to have two types of particles */ #define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ #define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ #define CENTER_PX 0 /* set to 1 to center horizontal momentum */ #define CENTER_PY 0 /* set to 1 to center vertical momentum */ @@ -90,8 +4607,681 @@ updated gradually. #define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ #define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ -#define MU 0.015 /* parameter controlling radius of particles */ -#define MU_B 0.015 /* parameter controlling radius of particles of second type */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 13 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 1 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 0 /* set to 1 to add an electric field */ +#define EFIELD 50000.0 /* value of electric field */ +#define ADD_BFIELD 0 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 0 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ +#define SHOW_SEGMENTS_PRESSURE 1 /* set to 1 to show (averaged) pressure acting on segments */ +#define SEGMENT_PMAX 7.5e7 /* pressure of segment with hottest color */ +#define P_AVRG_FACTOR 0.02 /* factor in computation of mean pressure */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 17 October 23 - How much flooding would an asteroid impact in the Indian Ocean cause? 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(5.0, -0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 75.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 2 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {3.0, -10.0, -8.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 16 October 23 - A simplified model for a plasma in strong electric and magenetic fields ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.008 /* parameter controlling radius of particles */ +#define MU_B 0.018 /* parameter controlling radius of particles of second type */ #define NPOLY 3 /* number of sides of polygon */ #define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ #define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ @@ -100,8 +5290,735 @@ updated gradually. #define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ #define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ #define FOCI 1 /* set to 1 to draw focal points of ellipse */ -#define NGRIDX 128 /* number of grid point for grid of disks */ -#define NGRIDY 64 /* number of grid point for grid of disks */ +#define NGRIDX 70 /* number of grid point for grid of disks */ +#define NGRIDY 35 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 5600 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 0 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 2000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 50.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 50.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 50000.0 /* value of electric field */ +#define ADD_BFIELD 1 /* set to 1 to add a magnetic field */ +#define BFIELD 8000.0 /* value of magnetic field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 80 /* size of hashgrid in x direction */ +#define HASHY 40 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 15 October 23 - How rising sea levels would affect the seven continents ### + +**Program:** `earth_sealevel.c` (variant of `wave_sphere.c`) + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.40824829, -0.816496581, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {1.0, -10.0, 7.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 20 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +**Part 2 (South America):** + +``` +double light[3] = {-0.40824829, -0.816496581, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-3.0, -5.0, -2.5}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ + +``` + +**Part 3 (Europe):** + +``` +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-8.0, 2.0, 6.5}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */ + +``` + +**Part 4 (Africa):** + +``` +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-8.0, 2.0, 0.0}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ + +``` + +**Part 5 (Asia):** + +``` +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {0.0, 8.0, 4.5}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ + +``` + +**Part 6 (Australia/Oceania):** + +``` +double light[3] = {0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {6.0, 6.0, -2.5}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ + +``` + +**Part 7 (Antarctica):** + +``` +double light[3] = {0.40824829, -0.816496581, -0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {0.1, -0.2, -8.5}; /* location of observer for REP_PROJ_3D representation */ +#define Z_SCALING_FACTOR 1.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define X_SCALING_FACTOR 3.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define Y_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ + +``` + +### 14 October 23 - A simplified model for a plasma in electric and magenetic fields ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.008 /* parameter controlling radius of particles */ +#define MU_B 0.018 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 70 /* number of grid point for grid of disks */ +#define NGRIDY 35 /* number of grid point for grid of disks */ #define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ #define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ #define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ @@ -116,7 +6033,1347 @@ updated gradually. #define NSTEPS 3600 /* number of frames of movie */ #define NVID 30 /* number of iterations between images displayed on screen */ -#define NSEG 250 /* number of segments of boundary */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 0 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.0 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 2000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 50.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 50.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.0002 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 50000.0 /* value of electric field */ +#define ADD_BFIELD 1 /* set to 1 to add a magnetic field */ +#define BFIELD 1000.0 /* value of magnetic field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 80 /* size of hashgrid in x direction */ +#define HASHY 40 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 13 October 23 - How much flooding would an asteroid impact in the Indian Ocean cause? ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(5.0, -0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 75.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 2 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {3.0, -10.0, -8.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 12 October 23 - A simplified model for a plasma in an electric field ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 0 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.008 /* parameter controlling radius of particles */ +#define MU_B 0.018 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 70 /* number of grid point for grid of disks */ +#define NGRIDY 35 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2800 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 250 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 1.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 2000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 50.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 25.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ADD_EFIELD 1 /* set to 1 to add an electric field */ +#define EFIELD 100000.0 /* value of electric field */ +#define CHARGE -1.0 /* charge of particles of first type */ +#define CHARGE_B 1.0 /* charge of particles of second type */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 80 /* size of hashgrid in x direction */ +#define HASHY 40 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 11 October 23 - What kind of waves would a Campi Flegrei eruption cause in the Mediterranean? ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(-14.139*PI/180.0, 40.827*PI/180.0, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 3750 /* number of grid points on x axis */ +#define NY 1920 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.6 /* scaling for Julia sets */ +#define JULIA_ROT -20.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.025 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 1500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.25 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.002 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 0 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 0.75 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 1 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, -2.0, 5.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.05 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 3.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 10 October 23 - Phase separation in a granular mixture starting in a chessboard configuration ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.01 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.17 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define TWOTYPE_CONFIG 1 /* choice of types, see TTC_ list in global_ljones.c */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 132 /* number of grid point for grid of disks */ +#define NGRIDY 68 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2900 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ #define INITIAL_TIME 0 /* time after which to start saving frames */ #define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ #define BOUNDARY_WIDTH 1 /* width of particle boundary */ @@ -136,8 +7393,8 @@ updated gradually. /* Plot type, see list in global_ljones.c */ -#define PLOT 11 -#define PLOT_B 15 /* plot type for second movie */ +#define PLOT 5 +#define PLOT_B 11 /* plot type for second movie */ #define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ #define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ @@ -145,13 +7402,13 @@ updated gradually. #define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ #define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ #define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ -#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ -#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ -#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ /* Color schemes */ -#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ #define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ #define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ #define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ @@ -173,8 +7430,14 @@ updated gradually. #define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ #define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ -#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ #define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ /* particle properties */ @@ -182,9 +7445,9 @@ updated gradually. #define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ #define PARTICLE_HUE_MIN 359.0 /* color of original particle */ #define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ -#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ -#define HUE_TYPE0 60.0 /* hue of particles of type 0 */ -#define HUE_TYPE1 280.0 /* hue of particles of type 1 */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ #define HUE_TYPE2 140.0 /* hue of particles of type 2 */ #define HUE_TYPE3 200.0 /* hue of particles of type 3 */ @@ -198,7 +7461,7 @@ updated gradually. #define OMEGA_INITIAL 10.0 /* initial angular velocity range */ #define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ #define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ -#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS 5.0 /* mass of particle of radius MU */ #define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ #define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ #define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ @@ -214,9 +7477,10 @@ updated gradually. #define MU_XI 0.01 /* friction constant in thermostat */ #define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ #define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ -#define NBH_DIST_FACTOR 2.7 /* radius in which to count neighbours */ -#define GRAVITY 0.0 /* gravity acting on all particles */ -#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 500.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 0 /* set to 1 to have gravity directed to center */ #define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ #define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ #define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ @@ -257,7 +7521,7 @@ updated gradually. #define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ #define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ #define NTRIALS 2000 /* number of trials when resampling */ -#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define OBSTACLE_RADIUS 0.15 /* radius of obstacle for circle boundary conditions */ #define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ #define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ #define OBSTACLE_XMAX 3.0 /* final position of obstacle */ @@ -294,15 +7558,12 @@ updated gradually. #define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ #define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ #define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ #define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ -#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ #define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ -#define OMEGAMAX 8.0*PI /* maximal rotation speed */ -#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ -#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ -#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ -#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ #define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ #define SEGMENTS_MASS 40.0 /* mass of collection of segments */ @@ -392,11 +7653,675 @@ updated gradually. ``` -### 1 September 23 - Simulation of a meteor impact in the South Pacific Ocean, viewpoint moving west ### +### 9 October 23 - How much flooding would an asteroid impact in the North Atlantic cause? 2D representation ### **Program:** `wave_sphere.c` -**Initial condition in function `animation()`:** `init_circular_wave_sphere(2.6, -0.5, phi, psi, xy_in, wsphere);` +**Initial condition in function `animation()`:** `init_circular_wave_sphere(0.7, 0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {7.0, 7.0, 4.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 7 October 23 - A granular material in a blender with a harmonic potential ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3200 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 11 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 10000.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define CIRCULAR_GRAVITY 1 /* set to 1 to have gravity directed to center */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 6 October 23 - Waves on a planet with a cubic Julia set continent ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** +``` + init_circular_wave_sphere(1.0, 0.4, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0, 1.0 + DPI/3.0, 0.4, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0, 1.0 + 2.0*DPI/3.0, 0.4, phi, psi, xy_in, wsphere); +``` ``` #define MOVIE 1 /* set to 1 to generate movie */ @@ -413,6 +8338,7 @@ updated gradually. #define DPOLE 20 /* safety distance to poles */ #define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ #define XMIN -2.0 #define XMAX 2.0 /* x interval */ @@ -421,7 +8347,669 @@ updated gradually. #define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ -#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_SCALE 0.8 /* scaling for Julia sets */ +#define JULIA_ROT 0.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE 0.5 +#define JULIA_IM 0.462 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 85 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 500 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP -0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ +#define FLOODING 0 /* set to 1 to draw waves above altitude (for Earth representations) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 0 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 12 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 0.75 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {3.0, -10.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 0 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.05 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 5 October 23 - A blender rotating at higher speed (without gravity) ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 4200 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 11 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 4 October 23 - How much flooding would an asteroid impact in the North Atlantic cause? ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(0.7, 0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 90.0 /* rotation of Julia set, in degrees */ #define JULIA_RE -0.77145 #define JULIA_IM -0.10295 /* parameters for Julia sets */ @@ -435,6 +9023,676 @@ updated gradually. #define B_DOMAIN_B 20 /* second domain shape, for comparisons */ #define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {7.0, 7.0, 4.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 3 October 23 - Dislocation dynamics around an irreversible blender in a granular medium ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 1 +#define PLOT_B 15 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 2.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 2 October 23 - ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_wave_flat_sphere(phi, psi, xy_in, wsphere); + + theta = asin(1.0/sqrt(3.0)); + for (j=0; j<4; j++) + { + if (j%2 == 0) amp = 1.0; + else amp = -1.0; + add_circular_wave_sphere(amp,((double)j+0.5)*PID, theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-amp,((double)j+0.5)*PID, -theta, phi, psi, xy_in, wsphere); + } + +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1180 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.0 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.4 /* scaling for Julia sets */ +#define JULIA_RE 0.37468 +#define JULIA_IM 0.21115 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 32 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + #define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ #define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ #define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ @@ -514,7 +9772,7 @@ updated gradually. /* Parameters for length and speed of simulation */ -#define NSTEPS 3000 /* number of frames of movie */ +#define NSTEPS 3900 /* number of frames of movie */ #define NVID 4 /* number of iterations between images displayed on screen */ #define NSEG 1000 /* number of segments of boundary */ #define INITIAL_TIME 0 /* time after which to start saving frames */ @@ -532,9 +9790,9 @@ updated gradually. /* Parameters of initial condition */ -#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_AMP 0.25 /* amplitude of initial condition */ #define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ -#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ /* Plot type, see list in global_pdes.c */ @@ -547,7 +9805,8 @@ updated gradually. #define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ #define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ #define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ -#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ #define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ #define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ #define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ @@ -556,6 +9815,9 @@ updated gradually. #define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ #define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ #define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ #define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ #define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ @@ -563,6 +9825,8 @@ updated gradually. /* 3D representation */ #define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ #define REP_AXO_3D 0 /* linear projection (axonometry) */ #define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ @@ -570,10 +9834,12 @@ updated gradually. #define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ #define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + /* Color schemes */ -#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ -#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 14 /* Color palette, see list in global_pdes.c */ #define BLACK 1 /* background */ #define COLOR_OUT_R 1.0 /* color outside domain */ @@ -584,18 +9850,18 @@ updated gradually. #define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ #define SLOPE 1.0 /* sensitivity of color on wave amplitude */ -#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ -#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ #define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ #define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ #define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ -#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ #define LOG_SCALE 0.75 /* scaling factor for energy log representation */ #define LOG_SHIFT 0.5 /* shift of colors on log scale */ #define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ #define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ -#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ -#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define FLUX_SCALE 2000.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ #define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ #define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ @@ -612,7 +9878,7 @@ updated gradually. #define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ #define MAZE_WIDTH 0.02 /* half width of maze walls */ -#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ #define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ #define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ #define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ @@ -637,13 +9903,12 @@ updated gradually. double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ double v_3d[2] = {-0.75, -0.45}; double w_3d[2] = {0.0, 0.015}; -P_3D_ANGLE color scheme */ -double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ -double observer[3] = {-10.0, 4.0, -3.5}; /* location of observer for REP_PROJ_3D representation */ +double light[3] = {-0.40824829, 0.40824829, 0.816496581}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ #define RSCALE 0.01 /* scaling factor of radial component */ -#define RMAX 10.0 /* max value of radial component */ +#define RMAX 5.0 /* max value of radial component */ #define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ #define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ #define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ @@ -653,3 +9918,388 @@ int reset_view = 0; /* switch to reset 3D view parameters (for option RO ``` +### 1 October 23 - How irreversible is the effect of a blender in a granular medium? ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 11 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averaging in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averaging in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 0 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define ROTATION_SCHEDULE 1 /* time-dependence of rotation angle, see ROT_* in global_ljones.c */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 2.0*PI*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` +