From 9b429246e1fdfd5d51e3926f8758a6490a99b768 Mon Sep 17 00:00:00 2001 From: nilsberglund-orleans <83530463+nilsberglund-orleans@users.noreply.github.com> Date: Sun, 13 Mar 2022 15:37:31 +0100 Subject: [PATCH] Add files via upload --- Parameters.md | 2354 +++++++++++++++++++++++++++++++++++++++++-------- 1 file changed, 2005 insertions(+), 349 deletions(-) diff --git a/Parameters.md b/Parameters.md index 84a3732..c329a22 100644 --- a/Parameters.md +++ b/Parameters.md @@ -10,8 +10,176 @@ updated gradually. +### 13 March 22 - Colliding vortices in the Rock-Paper-Scissors reaction-diffusion equation ### -### 5 February 22 - An adiabatic piston ### +**Program:** `bz.c` + +**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, psi, chi, xy_in);` + +``` +#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 */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1000 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ + +#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 JULIA_SCALE 0.5 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */ +#define MU 0.8 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 5 /* depth of computation of Menger gasket */ +#define MRATIO 5 /* 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 15 /* number of grid point for grid of disks */ +#define NGRIDY 20 /* 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 -1.65 +#define ISO_XSHIFT_RIGHT 0.4 +#define ISO_YSHIFT_LEFT -0.05 +#define ISO_YSHIFT_RIGHT -0.05 +#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */ + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard in sub_wave.c */ + +/* Physical patameters of wave equation */ + +#define DT 0.0000005 + +#define VISCOSITY 0.05 + +#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */ + +#define EPSILON 0.8 /* time scale separation */ +#define DELTA 0.1 /* time scale separation */ +#define BZQ 0.0008 /* parameter in BZ equation */ +#define BZF 1.2 /* parameter in BZ equation */ + +#define T_OUT 2.0 /* outside temperature */ +#define T_IN 0.0 /* inside temperature */ +#define SPEED 0.0 /* speed of drift to the right */ + +#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */ +#define NOISE_INTENSITY 0.1 /* noise intensity */ + +#define CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */ +#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */ +#define VISCOSITY_INITIAL_TIME 100 /* initial time during which viscosity remains constant */ +#define VISCOSITY_FACTOR 200.0 /* factor by which to change viscosity */ +#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase, + for numerical stability */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 1 + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 1500 /* number of frames of movie */ +#define NVID 10 /* number of iterations between images displayed on screen */ +#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */ +#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */ +#define MAX_DT 0.024 /* maximal value of integration step */ + +#define NSEG 100 /* number of segments of boundary */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 2 /* sleep time during pause */ +#define SLEEP1 2 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define INITIAL_TIME 5 /* initial still time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 50 /* number of still frames at end of movie */ + +/* For debugging purposes only */ +#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Plot type */ + +#define PLOT 21 + +#define PLOT_B 25 /* plot type for second movie */ + +#define P_RGB 20 /* RGB plot */ +#define P_POLAR 21 /* polar angle associated with RBG plot */ +#define P_GRADIENT 22 /* gradient of polar angle */ +#define P_GRADIENTX 23 /* direction of gradient of u */ +#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */ +#define P_CURL 25 /* curl of polar angle */ + +#define PRINT_TIME 0 /* set to 1 to print running time */ +#define PRINT_VISCOSITY 1 /* set to 1 to print v */ + +#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */ +#define FIELD_LINE_WIDTH 1 /* width of field lines */ +#define N_FIELD_LINES 120 /* number of field lines */ +#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */ + +/* Color schemes, see list in global_pdes.c */ + +// #define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* black background */ + +#define COLOR_SCHEME 4 /* choice of color scheme */ + +#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */ + +#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 ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define CURL_SCALE 0.00001 /* scaling factor for curl representation */ + +#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 359.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 1.0 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.0 + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 0.55 /* 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 */ + +``` + +### 12 March 22 - Interacting pentagons on the projective plane ### **Program:** `lennardjones.c` @@ -19,6 +187,11 @@ updated gradually. #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 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 2 /* factor of time-lapse movie */ + + /* General geometrical parameters */ #define WINWIDTH 1280 /* window width */ @@ -29,39 +202,53 @@ updated gradually. #define YMIN -1.125 #define YMAX 1.125 /* y interval for 9/16 aspect ratio */ -#define INITXMIN -1.95 -#define INITXMAX 1.95 /* x interval for initial condition */ -#define INITYMIN -1.05 -#define INITYMAX 0.95 /* y interval for initial condition */ +#define INITXMIN -1.85 +#define INITXMAX 1.85 /* x interval for initial condition */ +#define INITYMIN -0.9 +#define INITYMAX 0.9 /* y interval for initial condition */ + +#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 8 /* pattern of circles, see list in global_ljones.c */ +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + #define TWO_TYPES 0 /* set to 1 to have two types of particles */ #define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ -#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION 3 /* 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 1.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */ #define SPIN_INTER_FREQUENCY_B 2.0 /* 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 5.0 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_DISTANCE 1.8 /* 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 2.0 /* parameter controlling the dimensions of domain */ -#define MU 0.015 /* parameter controlling radius of particles */ +#define MU 0.045 /* parameter controlling radius of particles */ #define MU_B 0.02427051 /* parameter controlling radius of particles of second type */ #define NPOLY 3 /* number of sides of polygon */ -#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */ +#define APOLY 0.0 /* angle by which to turn polygon, 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 80 /* number of grid point for grid of disks */ -#define NGRIDY 25 /* number of grid point for grid of disks */ +#define NGRIDX 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 X_SHOOTER -0.2 #define Y_SHOOTER -0.6 @@ -70,12 +257,13 @@ updated gradually. /* Parameters for length and speed of simulation */ -#define NSTEPS 3100 /* number of frames of movie */ -#define NVID 150 /* number of iterations between images displayed on screen */ +#define NSTEPS 3750 /* number of frames of movie */ +#define NVID 100 /* number of iterations between images displayed on screen */ #define NSEG 150 /* number of segments of boundary */ -#define INITIAL_TIME 200 /* time after which to start saving frames */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ #define BOUNDARY_WIDTH 1 /* width of particle boundary */ -#define CONTAINER_WIDTH 4 /* width of container 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 */ @@ -86,17 +274,18 @@ updated gradually. /* Boundary conditions, see list in global_ljones.c */ -#define BOUNDARY_COND 1 +#define BOUNDARY_COND 13 /* Plot type, see list in global_ljones.c */ -#define PLOT 0 -#define PLOT_B 6 /* plot type for second movie */ +#define PLOT 4 +#define PLOT_B 3 /* plot type for second movie */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ /* Color schemes */ -#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */ #define BLACK 1 /* background */ @@ -115,52 +304,53 @@ updated gradually. /* particle properties */ -#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ -#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ -#define PARTICLE_EMAX 1.0e3 /* max energy for particle to survive */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5.0e2 /* energy of particle with hottest color */ #define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ -#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */ +#define DT_PARTICLE 1.0e-6 /* time step for particle displacement */ #define KREPEL 10.0 /* constant in repelling force between particles */ -#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST 6.0 /* Lennard-Jones equilibrium distance for second type of particle */ #define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ #define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ #define DAMPING 0.0 /* damping coefficient of particles */ #define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ #define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ -#define PARTICLE_INERTIA_MOMENT 0.05 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT 0.02 /* moment of inertia of particle */ #define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ -#define V_INITIAL 0.5 /* initial velocity range */ -#define OMEGA_INITIAL 2.0 /* initial angular velocity range */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ -#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ #define SIGMA 5.0 /* noise intensity in thermostat */ -#define BETA 0.3 /* initial inverse temperature */ +#define BETA 0.002 /* initial inverse temperature */ #define MU_XI 0.05 /* friction constant in thermostat */ -#define KSPRING_BOUNDARY 2.0e7 /* confining harmonic potential outside simulation region */ -#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.5 /* radius in which to count neighbours */ #define GRAVITY 0.0 /* gravity acting on all particles */ -#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define ROTATION 1 /* 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 7.0 /* force constant in angular dynamics */ +#define KTORQUE 600.0 /* force constant in angular dynamics */ #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 5.0 /* range of spin-spin interaction */ +#define SPIN_RANGE 7.0 /* 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 0.001 /* factor by which to change BETA during simulation */ -#define N_TOSCILLATIONS 0.5 /* number of temperature oscillations in BETA schedule */ -#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ -#define FINAL_CONSTANT_PHASE 200 /* final phase in which temperature is constant */ +#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */ -#define DECREASE_CONTAINER_SIZE 1 /* set to 1 to decrease size of container */ +#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 */ @@ -168,9 +358,16 @@ updated gradually. #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 OBSTACLE_RADIUS 0.27 /* radius of obstacle for circle boundary conditions */ -#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ -#define OBSTACLE_XMAX 3.0 /* final position of 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ #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 */ @@ -180,15 +377,27 @@ updated gradually. #define NPART_BOTTOM 100 /* number of particles at the bottom */ #define ADD_PARTICLES 0 /* set to 1 to add particles */ -#define ADD_TIME 100 /* time at which to add first particle */ -#define ADD_PERIOD 500 /* time interval between adding further particles */ -#define SAFETY_FACTOR 3.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ +#define ADD_TIME 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ -#define FMAX 1.0e10 /* maximal force */ +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ -#define HASHX 23 /* size of hashgrid in x direction */ -#define HASHY 14 /* size of hashgrid in y direction */ +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 30 /* size of hashgrid in x direction */ +#define HASHY 20 /* 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 */ @@ -199,27 +408,245 @@ updated gradually. ``` -### 4 February 22 - Raindrops in a von Koch snowflake ### +### 11 March 22 - Interacting dipoles on the projective plane ### -**Program:** `wave_billiard.c` - -**Initial condition in function `animation()`:** - -``` - init_circular_wave(0.6*cos((double)(period)*DPI/3.0), 0.6*sin((double)(period)*DPI/3.0), phi, psi, xy_in); - period++; - - if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == OSCILLATING_SOURCE_PERIOD - 1)) - { - add_circular_wave(-1.0, 0.6*cos((double)(period)*DPI/3.0), 0.6*sin((double)(period)*DPI/3.0), phi, psi, xy_in); - period++; - } -``` +**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 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 2 /* factor of time-lapse movie */ + + +/* 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 -1.85 +#define INITXMAX 1.85 /* x interval for initial condition */ +#define INITYMIN -0.9 +#define INITYMAX 0.9 /* y interval for initial condition */ + +#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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ + +#define INTERACTION 5 /* 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 2.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 2.0 /* 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 1.8 /* 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 2.0 /* parameter controlling the dimensions of domain */ +#define MU 0.045 /* parameter controlling radius of particles */ +#define MU_B 0.02427051 /* 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 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 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 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 2700 /* number of frames of movie */ +#define NVID 200 /* number of iterations between images displayed on screen */ +#define NSEG 150 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#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 13 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 4 +#define PLOT_B 3 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ + +/* Color schemes */ + +#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */ + +#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 */ + +/* particle properties */ + +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5.0e2 /* energy of particle with hottest color */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 5.0e-7 /* time step for particle displacement */ +#define KREPEL 10.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 6.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.0 /* damping coefficient of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.02 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.002 /* initial inverse temperature */ +#define MU_XI 0.05 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.5 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ + +#define ROTATION 1 /* 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 600.0 /* force constant in angular dynamics */ +#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 7.0 /* 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 1 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ + +#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 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 30 /* size of hashgrid in x direction */ +#define HASHY 20 /* 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 */ + +``` + +### 10 March 22 - Direction of rotation in the Rock-Paper-Scissors reaction-diffusion equation ### + +**Program:** `bz.c` + +**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);` + +``` +#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 */ + /* General geometrical parameters */ #define WINWIDTH 1920 /* window width */ @@ -232,11 +659,1020 @@ updated gradually. #define YMIN -1.041666667 #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ +#define JULIA_SCALE 0.5 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */ +#define MU 0.8 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 5 /* depth of computation of Menger gasket */ +#define MRATIO 5 /* 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 15 /* number of grid point for grid of disks */ +#define NGRIDY 20 /* 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 -1.65 +#define ISO_XSHIFT_RIGHT 0.4 +#define ISO_YSHIFT_LEFT -0.05 +#define ISO_YSHIFT_RIGHT -0.05 +#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */ + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard in sub_wave.c */ + +/* Physical patameters of wave equation */ + +#define DT 0.0000005 + +#define VISCOSITY 1.0 +// #define GAMMA_INVERSE 1.0 + +#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */ + +#define EPSILON 0.8 /* time scale separation */ +#define DELTA 0.1 /* time scale separation */ +#define BZQ 0.0008 /* parameter in BZ equation */ +#define BZF 1.2 /* parameter in BZ equation */ + +#define T_OUT 2.0 /* outside temperature */ +#define T_IN 0.0 /* inside temperature */ +#define SPEED 0.0 /* speed of drift to the right */ + +#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */ +#define NOISE_INTENSITY 0.1 /* noise intensity */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 1 + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 10 /* number of iterations between images displayed on screen */ +#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */ +#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */ +#define MAX_DT 0.024 /* maximal value of integration step */ + +#define NSEG 100 /* number of segments of boundary */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 2 /* sleep time during pause */ +#define SLEEP1 2 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define INITIAL_TIME 5 /* initial still time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 50 /* number of still frames at end of movie */ + +/* For debugging purposes only */ +#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Plot type */ + +#define PLOT 23 + +#define PLOT_B 22 /* plot type for second movie */ + +#define P_RGB 20 /* RGB plot */ +#define P_POLAR 21 /* polar angle associated with RBG plot */ +#define P_GRADIENT 22 /* gradient of polar angle */ +#define P_GRADIENTX 23 /* gradient of polar angle */ + +#define PRINT_TIME 0 /* set to 1 to print running time */ + +#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */ +#define FIELD_LINE_WIDTH 1 /* width of field lines */ +#define N_FIELD_LINES 120 /* number of field lines */ +#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */ + +/* Color schemes, see list in global_pdes.c */ + +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* black background */ + +#define COLOR_SCHEME 4 /* choice of color scheme */ + +#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 2.0 /* 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 359.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 1.0 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.0 + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 0.55 /* 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 */ + +``` + +### 9 March 22 - Crystal formation on the projective plane, with smaller particles ### + +**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 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 2 /* factor of time-lapse movie */ + + +/* 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 -1.85 +#define INITXMAX 1.85 /* x interval for initial condition */ +#define INITYMIN -0.9 +#define INITYMAX 0.9 /* y interval for initial condition */ + +#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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ + +#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 2.0 /* 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 2.75 /* 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 2.0 /* parameter controlling the dimensions of domain */ +#define MU 0.02 /* parameter controlling radius of particles */ +#define MU_B 0.02427051 /* 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 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 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 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 2400 /* number of frames of movie */ +#define NVID 200 /* number of iterations between images displayed on screen */ +#define NSEG 150 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#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 13 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 3 +#define PLOT_B 0 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 1 /* 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 */ + +/* particle properties */ + +#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5.0e2 /* energy of particle with hottest color */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 5.0e-7 /* time step for particle displacement */ +#define KREPEL 10.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 6.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.0 /* damping coefficient of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.25 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.002 /* initial inverse temperature */ +#define MU_XI 0.05 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* 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 100.0 /* force constant in angular dynamics */ +#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 5.0 /* 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 1 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* 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 0.1 /* 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ + +#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 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 35 /* size of hashgrid in x direction */ +#define HASHY 25 /* 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 */ + +``` + +### 8 March 22 - Crystal formation on the projective plane ### + +**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 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 2 /* factor of time-lapse movie */ + + +/* 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 -1.85 +#define INITXMAX 1.85 /* x interval for initial condition */ +#define INITYMIN -0.9 +#define INITYMAX 0.9 /* y interval for initial condition */ + +#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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ + +#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 2.0 /* 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 2.75 /* 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 2.0 /* parameter controlling the dimensions of domain */ +#define MU 0.025 /* parameter controlling radius of particles */ +#define MU_B 0.02427051 /* 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 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 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 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 2400 /* number of frames of movie */ +#define NVID 200 /* number of iterations between images displayed on screen */ +#define NSEG 150 /* number of segments of boundary */ +#define INITIAL_TIME 100 /* time after which to start saving frames */ +#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 13 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 0 +#define PLOT_B 3 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 1 /* 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 */ + +/* particle properties */ + +#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5.0e2 /* energy of particle with hottest color */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 5.0e-7 /* time step for particle displacement */ +#define KREPEL 10.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.5 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.0 /* damping coefficient of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.25 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.002 /* initial inverse temperature */ +#define MU_XI 0.05 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* 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 100.0 /* force constant in angular dynamics */ +#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 5.0 /* 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 1 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ + +#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 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 30 /* size of hashgrid in x direction */ +#define HASHY 20 /* 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 */ + +``` + +### 7 March 22 - Comparison of a Fresnel lens and a circular lens ### + +**Program:** `wave_billiard.c` + +**Initial condition in function `animation()`:** `init_wave_flat_comp(phi, psi, xy_in);` + +``` +#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 TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ +#define TIME_LAPSE_FACTOR 4 /* factor of time-lapse movie */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1000 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ +#define YMID 500 /* mid point of display */ +#define XMIN -0.5 +#define XMAX 3.5 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + #define JULIA_SCALE 1.0 /* scaling for Julia sets */ /* Choice of the billiard table */ -#define B_DOMAIN 41 /* choice of domain shape, see list in global_pdes.c */ +#define B_DOMAIN 43 /* choice of domain shape, see list in global_pdes.c */ +#define B_DOMAIN_B 47 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 13 /* pattern of circles, see list in global_pdes.c */ +#define CIRCLE_PATTERN_B 13 /* pattern of circles, see list in global_pdes.c */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ +#define RANDOM_POLY_ANGLE_B 0 /* set to 1 to randomize angle of polygons */ + +#define XDEP_POLY_ANGLE 0 /* set to 1 to rotate polygons depending on x coordinate */ +#define XDEP_POLY_ANGLE_B 0 /* set to 1 to rotate polygons depending on x coordinate */ +#define POLY_ROTATION_ANGLE -0.645 /* rotation angle for |x|=1 in units of Pi/2 */ +#define HEX_NONUNIF_COMPRESSSION 0.15 /* compression factor for HEX_NONUNIF pattern */ +#define HEX_NONUNIF_COMPRESSSION_B -0.15 /* compression factor for HEX_NONUNIF pattern */ + +#define LAMBDA -1.1 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define MUB 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define APOLY_B 2.0 /* angle by which to turn polygon, 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 20 /* number of grid point for grid of disks */ +#define NGRIDY 20 /* 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 -1.65 +#define ISO_XSHIFT_RIGHT 0.4 +#define ISO_YSHIFT_LEFT -0.05 +#define ISO_YSHIFT_RIGHT -0.05 +#define ISO_SCALE 0.85 /* 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 1 /* 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 OMEGA 0.004 /* frequency of periodic excitation */ +#define AMPLITUDE 1.0 /* amplitude of periodic excitation */ +#define COURANT 0.02 /* Courant number */ +#define COURANTB 0.01154 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 0.0 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-6 /* 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 */ +/* 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 */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 0 + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 25 /* number of iterations between images displayed on screen */ +#define NSEG 100 /* number of segments of boundary */ +#define INITIAL_TIME 20 /* time after which to start saving frames */ +#define COMPUTE_ENERGIES 0 /* set to 1 to compute and print energies */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ + +#define PAUSE 100 /* 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 movies */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.75 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define PLOT 0 + +#define PLOT_B 1 + +/* Color schemes */ + +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define BLACK_TEXT 1 /* set to 1 to write text in black instead of white */ + +#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 ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 200.0 /* scaling factor for energy representation */ +#define LOG_SCALE 1.5 /* scaling factor for energy log representation */ +#define LOG_SHIFT 1.0 /* shift of colors on log scale */ +#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 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + + +/* For debugging purposes only */ +#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 5.0 /* max value of wave amplitude */ + +``` + +### 6 March 22 - Mixing of two Lennard-Jones fluids ### + +**Program:** `lennardjones.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 TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 2 /* factor of time-lapse movie */ + + +/* 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 2.0 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.125 /* y interval for initial condition */ + +#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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ + +#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 2.0 /* 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 4.0 /* 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 2.0 /* parameter controlling the dimensions of domain */ +#define MU 0.015 /* parameter controlling radius of particles */ +#define MU_B 0.02427051 /* 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 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 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 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 3900 /* number of frames of movie */ +#define NVID 300 /* number of iterations between images displayed on screen */ +#define NSEG 150 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#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 0 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 6 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 1 /* 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 */ + +/* particle properties */ + +#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_EMAX 1.5e3 /* energy of particle with hottest color */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 1.0e-6 /* time step for particle displacement */ +#define KREPEL 20.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 0.0 /* damping coefficient of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.25 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.001 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* 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 100.0 /* force constant in angular dynamics */ +#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 5.0 /* 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 0.1 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* 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 1 /* 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 2.0 /* 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ + +#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 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define POSITION_DEPENDENT_TYPE 1 /* set to 1 to make particle type depend on initial position */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 25 /* size of hashgrid in x direction */ +#define HASHY 15 /* 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 */ + +``` + +### 5 March 22 - A circular lens ### + +**Program:** `wave_billiard.c` + +**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);` + +``` +#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 */ + +/* General geometrical parameters */ + +#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */ + +#define WINWIDTH 720 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define NX 1440 /* number of grid points on x axis */ +#define NY 1440 /* number of grid points on y axis */ + +#define XMIN -0.425 +#define XMAX 1.825 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define JULIA_SCALE 1.0 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 47 /* choice of domain shape, see list in global_pdes.c */ #define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */ @@ -244,8 +1680,8 @@ updated gradually. #define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */ #define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ -#define LAMBDA 1.1 /* parameter controlling the dimensions of domain */ -#define MU 1.0 /* parameter controlling the dimensions of domain */ +#define LAMBDA -1.1 /* parameter controlling the dimensions of domain */ +#define MU 0.2 /* parameter controlling the dimensions of domain */ #define NPOLY 3 /* number of sides of polygon */ #define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */ #define MDEPTH 6 /* depth of computation of Menger gasket */ @@ -272,16 +1708,16 @@ updated gradually. /* 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 TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 1 /* 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 OMEGA 0.002 /* frequency of periodic excitation */ -#define AMPLITUDE 1.0 /* amplitude of periodic excitation */ +#define OMEGA 0.005 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ #define COURANT 0.03 /* Courant number */ -#define COURANTB 0.01 /* Courant number in medium B */ +#define COURANTB 0.015 /* Courant number in medium B */ #define GAMMA 0.0 /* damping factor in wave equation */ -#define GAMMAB 5.0e-4 /* damping factor in wave equation */ +#define GAMMAB 0.0 /* 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 */ @@ -292,17 +1728,17 @@ updated gradually. /* Increasing COURANT speeds up the simulation, but decreases accuracy */ /* For similar wave forms, COURANT^2*GAMMA should be kept constant */ -#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */ +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ #define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */ /* Boundary conditions, see list in global_pdes.c */ -#define B_COND 2 +#define B_COND 3 /* 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 NSTEPS 1300 /* number of frames of movie */ +#define NVID 30 /* 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 1 /* width of billiard boundary */ @@ -312,7 +1748,7 @@ updated gradually. #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 50 /* number of still frames at end of movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ /* Parameters of initial condition */ @@ -324,7 +1760,7 @@ updated gradually. #define PLOT 0 -#define PLOT_B 5 /* plot type for second movie */ +#define PLOT_B 0 /* plot type for second movie */ /* Color schemes */ @@ -335,11 +1771,11 @@ updated gradually. #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 0.2 /* sensitivity of color on wave amplitude */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ #define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ #define E_SCALE 150.0 /* scaling factor for energy representation */ -#define LOG_SCALE 1.5 /* scaling factor for energy log representation */ -#define LOG_SHIFT 0.0 /* shift of colors on log scale */ +#define LOG_SCALE 1.0 /* scaling factor for energy log representation */ +#define LOG_SHIFT 1.0 /* shift of colors on log scale */ #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 */ @@ -349,9 +1785,9 @@ updated gradually. #define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */ #define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */ -#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ -#define COLORBAR_RANGE 6.0 /* scale of color scheme bar */ -#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 1.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 1.5 /* scale of color scheme bar for 2nd part */ #define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ #define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ @@ -362,7 +1798,7 @@ updated gradually. ``` -### 3 February 22 - Deep impact: Throwing large discs into a Lennard-Jones crystal without a thermostat ### +### 4 March 22 - A Brownian particle in a Lennard-Jones fluid ### **Program:** `lennardjones.c` @@ -380,19 +1816,31 @@ updated gradually. #define YMIN -1.125 #define YMAX 1.125 /* y interval for 9/16 aspect ratio */ -#define INITXMIN -1.95 -#define INITXMAX 1.95 /* x interval for initial condition */ -#define INITYMIN -1.125 -#define INITYMAX 0.0 /* y interval for initial condition */ +#define INITXMIN -1.9 +#define INITXMAX 1.9 /* x interval for initial condition */ +#define INITYMIN -1.0 +#define INITYMAX 1.0 /* y interval for initial condition */ -#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ +#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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ #define TWO_TYPES 0 /* set to 1 to have two types of particles */ #define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ #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 1.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ #define SPIN_INTER_FREQUENCY_B 2.0 /* 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 */ @@ -402,17 +1850,19 @@ updated gradually. #define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ #define LAMBDA 2.0 /* parameter controlling the dimensions of domain */ -#define MU 0.012 /* parameter controlling radius of particles */ +#define MU 0.015 /* parameter controlling radius of particles */ #define MU_B 0.02427051 /* parameter controlling radius of particles of second type */ #define NPOLY 3 /* number of sides of polygon */ -#define APOLY 0.5 /* angle by which to turn polygon, in units of Pi/2 */ +#define APOLY 0.0 /* angle by which to turn polygon, 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 80 /* number of grid point for grid of disks */ -#define NGRIDY 25 /* number of grid point for grid of disks */ +#define NGRIDX 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 X_SHOOTER -0.2 #define Y_SHOOTER -0.6 @@ -421,12 +1871,13 @@ updated gradually. /* Parameters for length and speed of simulation */ -#define NSTEPS 2400 /* number of frames of movie */ -#define NVID 250 /* number of iterations between images displayed on screen */ +#define NSTEPS 6000 /* number of frames of movie */ +#define NVID 375 /* number of iterations between images displayed on screen */ #define NSEG 150 /* number of segments of boundary */ -#define INITIAL_TIME 200 /* time after which to start saving frames */ +#define INITIAL_TIME 50 /* time after which to start saving frames */ #define BOUNDARY_WIDTH 1 /* width of particle boundary */ -#define CONTAINER_WIDTH 4 /* width of container 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 */ @@ -437,12 +1888,14 @@ updated gradually. /* Boundary conditions, see list in global_ljones.c */ -#define BOUNDARY_COND 0 +#define BOUNDARY_COND 3 /* Plot type, see list in global_ljones.c */ -#define PLOT 0 -#define PLOT_B 3 /* plot type for second movie */ +#define PLOT 5 +#define PLOT_B 6 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ /* Color schemes */ @@ -450,7 +1903,7 @@ updated gradually. #define BLACK 1 /* background */ -#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ +#define COLOR_SCHEME 1 /* 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 */ @@ -467,222 +1920,35 @@ updated gradually. #define PARTICLE_HUE_MIN 330.0 /* color of original particle */ #define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ -#define PARTICLE_EMAX 2.5e2 /* max energy for particle to survive */ +#define PARTICLE_EMAX 1.5e3 /* energy of particle with hottest color */ #define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ -#define DT_PARTICLE 4.0e-6 /* time step for particle displacement */ -#define KREPEL 10.0 /* constant in repelling force between particles */ +#define DT_PARTICLE 1.0e-6 /* time step for particle displacement */ +#define KREPEL 20.0 /* constant in repelling force between particles */ #define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance for second type of particle */ #define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ #define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ -#define DAMPING 10.0 /* damping coefficient of particles */ +#define DAMPING 0.0 /* damping coefficient of particles */ #define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ #define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ -#define PARTICLE_INERTIA_MOMENT 0.05 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT 0.25 /* 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 2.0 /* initial angular velocity range */ - -#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ -#define SIGMA 5.0 /* noise intensity in thermostat */ -#define BETA 0.3 /* initial inverse temperature */ -#define MU_XI 0.05 /* friction constant in thermostat */ -#define KSPRING_BOUNDARY 2.0e6 /* confining harmonic potential outside simulation region */ -#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ -#define GRAVITY 1000.0 /* gravity acting on all particles */ - -#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 7.0 /* force constant in angular dynamics */ -#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 5.0 /* 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 0.001 /* factor by which to change BETA during simulation */ -#define N_TOSCILLATIONS 0.5 /* number of temperature oscillations in BETA schedule */ -#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ -#define FINAL_CONSTANT_PHASE 200 /* 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 0.6 /* final size of container */ -#define RESTORE_CONTAINER_SIZE 0 /* set to 1 to restore container to initial size at end of simulation */ -#define RESTORE_TIME 400 /* 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 OBSTACLE_RADIUS 0.27 /* radius of obstacle for circle boundary conditions */ -#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ -#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ - -#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 1 /* set to 1 to add particles */ -#define ADD_TIME 100 /* time at which to add first particle */ -#define ADD_PERIOD 500 /* time interval between adding further particles */ -#define SAFETY_FACTOR 3.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ - -#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ -#define FMAX 1.0e10 /* maximal force */ - -#define HASHX 23 /* size of hashgrid in x direction */ -#define HASHY 14 /* 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 */ - -``` - -### 2 February 22 - Deep impact: Throwing large discs into a Lennard-Jones crystal ### - -**Program:** `lennardjones.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 */ - -/* 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 -1.95 -#define INITXMAX 1.95 /* x interval for initial condition */ -#define INITYMIN -1.125 -#define INITYMAX 0.0 /* y interval for initial condition */ - -#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ - -#define TWO_TYPES 0 /* set to 1 to have two types of particles */ -#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ - -#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 1.0 /* angular frequency of spin-spin interaction */ -#define SPIN_INTER_FREQUENCY_B 2.0 /* 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 5.0 /* 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 2.0 /* parameter controlling the dimensions of domain */ -#define MU 0.012 /* parameter controlling radius of particles */ -#define MU_B 0.02427051 /* parameter controlling radius of particles of second type */ -#define NPOLY 3 /* number of sides of polygon */ -#define APOLY 0.5 /* angle by which to turn polygon, 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 80 /* number of grid point for grid of disks */ -#define NGRIDY 25 /* 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 */ - -/* Parameters for length and speed of simulation */ - -#define NSTEPS 2400 /* number of frames of movie */ -#define NVID 250 /* number of iterations between images displayed on screen */ -#define NSEG 150 /* number of segments of boundary */ -#define INITIAL_TIME 200 /* time after which to start saving frames */ -#define BOUNDARY_WIDTH 1 /* width of particle boundary */ -#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 0 - -/* Plot type, see list in global_ljones.c */ - -#define PLOT 0 -#define PLOT_B 3 /* plot type for second movie */ - - -/* Color schemes */ - -#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ - -#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 */ - -/* particle properties */ - -#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ -#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ -#define PARTICLE_EMAX 2.5e2 /* max energy for particle to survive */ - -#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ -#define DT_PARTICLE 4.0e-6 /* time step for particle displacement */ -#define KREPEL 10.0 /* constant in repelling force between particles */ -#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance for second type of particle */ -#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ -#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ -#define DAMPING 10.0 /* damping coefficient of particles */ -#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ -#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ -#define PARTICLE_INERTIA_MOMENT 0.05 /* 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 2.0 /* initial angular velocity range */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ #define THERMOSTAT 1 /* set to 1 to switch on thermostat */ #define SIGMA 5.0 /* noise intensity in thermostat */ -#define BETA 0.3 /* initial inverse temperature */ -#define MU_XI 0.05 /* friction constant in thermostat */ -#define KSPRING_BOUNDARY 2.0e6 /* confining harmonic potential outside simulation region */ +#define BETA 0.001 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e8 /* harmonic potential of obstacles */ #define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ -#define GRAVITY 1000.0 /* gravity acting on all particles */ +#define GRAVITY 0.0 /* gravity acting on all particles */ -#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 ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* 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 7.0 /* force constant in angular dynamics */ +#define KTORQUE 100.0 /* force constant in angular dynamics */ #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 */ @@ -693,22 +1959,29 @@ updated gradually. #define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ #define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ -#define BETA_FACTOR 0.001 /* factor by which to change BETA during simulation */ -#define N_TOSCILLATIONS 0.5 /* number of temperature oscillations in BETA schedule */ +#define BETA_FACTOR 0.1 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */ #define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ -#define FINAL_CONSTANT_PHASE 200 /* final phase in which temperature is constant */ +#define FINAL_CONSTANT_PHASE 0 /* 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 0.6 /* final size of container */ -#define RESTORE_CONTAINER_SIZE 0 /* set to 1 to restore container to initial size at end of simulation */ -#define RESTORE_TIME 400 /* time before end of sim at which to restore size */ +#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 OBSTACLE_RADIUS 0.27 /* radius of obstacle for circle boundary conditions */ -#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ -#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 1 /* 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 2.0 /* 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 MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ #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 */ @@ -717,16 +1990,26 @@ updated gradually. #define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ #define NPART_BOTTOM 100 /* number of particles at the bottom */ -#define ADD_PARTICLES 1 /* set to 1 to add particles */ -#define ADD_TIME 100 /* time at which to add first particle */ -#define ADD_PERIOD 500 /* time interval between adding further particles */ -#define SAFETY_FACTOR 3.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 1 /* set to 1 to have a tracer particle */ +#define TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ #define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ -#define FMAX 1.0e10 /* maximal force */ +#define FMAX 1.0e9 /* maximal force */ -#define HASHX 23 /* size of hashgrid in x direction */ -#define HASHY 14 /* size of hashgrid in y direction */ +#define HASHX 25 /* size of hashgrid in x direction */ +#define HASHY 15 /* 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 */ @@ -737,11 +2020,11 @@ updated gradually. ``` -### 1 February 22 - Phase separation in the Allen-Cahn equation, with a start in slow motion ### +### 3 March 22 - Onset of spirals in the stochastic FitzHugh-Nagumo equations ### -**Program:** `allencahn.c` +**Program:** `fhn.c` -**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, xy_in);` +**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, psi, xy_in);` ``` #define MOVIE 1 /* set to 1 to generate movie */ @@ -798,14 +2081,21 @@ updated gradually. /* Physical patameters of wave equation */ -#define DT 0.0000002 -#define VISCOSITY 20.0 +#define DT 0.00000015 + +#define VISCOSITY 5.0 +#define GAMMA_INVERSE 1.0 + +#define EPSILON 0.1 /* time scale separation */ +#define FHNA 1.0 /* parameter in FHN equation */ +#define FHNC -0.01 /* parameter in FHN equation */ + #define T_OUT 2.0 /* outside temperature */ #define T_IN 0.0 /* inside temperature */ #define SPEED 0.0 /* speed of drift to the right */ -#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */ -#define NOISE_INTENSITY 1.0 /* noise intensity */ +#define ADD_NOISE 1 /* set to 1 to add noise, set to 2 to add noise in right half */ +#define NOISE_INTENSITY 0.04 /* noise intensity */ /* Boundary conditions, see list in global_pdes.c */ @@ -813,14 +2103,17 @@ updated gradually. /* Parameters for length and speed of simulation */ -#define NSTEPS 4000 /* number of frames of movie */ -#define NVID 1 /* number of iterations between images displayed on screen */ -#define ACCELERATION_FACTOR 150.0 /* factor by which to increase NVID in course of simulation */ +#define NSTEPS 5000 /* number of frames of movie */ +#define NVID 2 /* number of iterations between images displayed on screen */ +#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */ +#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */ +#define MAX_DT 0.024 /* maximal value of integration step */ + #define NSEG 100 /* number of segments of boundary */ #define BOUNDARY_WIDTH 2 /* width of billiard boundary */ #define PAUSE 100 /* number of frames after which to pause */ -#define PSLEEP 1 /* sleep time during pause */ +#define PSLEEP 2 /* sleep time during pause */ #define SLEEP1 2 /* initial sleeping time */ #define SLEEP2 1 /* final sleeping time */ #define INITIAL_TIME 25 /* initial still time */ @@ -830,14 +2123,11 @@ updated gradually. #define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */ #define VMAX 10.0 /* max value of wave amplitude */ -/* Field representation */ +/* Plot type */ -#define FIELD_REP 0 +#define PLOT 11 -#define F_INTENSITY 0 /* color represents intensity */ -#define F_GRADIENT 1 /* color represents norm of gradient */ - -#define PRINT_TIME 1 /* set to 1 to print running time */ +#define PRINT_TIME 0 /* set to 1 to print running time */ #define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */ #define FIELD_LINE_WIDTH 1 /* width of field lines */ @@ -846,14 +2136,379 @@ updated gradually. /* Color schemes, see list in global_pdes.c */ -#define COLOR_PALETTE 2 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ #define BLACK 1 /* black background */ -#define COLOR_SCHEME 3 /* choice of color scheme */ +#define COLOR_SCHEME 4 /* choice of color scheme */ + +#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */ #define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ -#define SLOPE 0.99 /* sensitivity of color on wave amplitude */ +#define SLOPE 1.5 /* 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 359.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 1.0 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.0 + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 1.0 /* scale of color scheme bar */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +``` + +### 2 March 22 - Bernoulli’s principle, illustrated by a Lennard-Jones gas moving through a funnel ### + +**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 */ + +/* 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 -2.9 +#define INITXMAX 2.9 /* x interval for initial condition */ +#define INITYMIN -1.0 +#define INITYMAX 1.0 /* y interval for initial condition */ + +#define BCXMIN -3.0 +#define BCXMAX 3.0 /* 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 8 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ + +#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 2.0 /* 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 5.0 /* 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 2.0 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.02427051 /* 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 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 10 /* number of grid point for grid of disks */ +#define NGRIDY 3 /* 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 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 250 /* number of iterations between images displayed on screen */ +#define NSEG 150 /* number of segments of boundary */ +#define INITIAL_TIME 200 /* time after which to start saving frames */ +#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 6 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 0 +#define PLOT_B 6 /* plot type for second movie */ + +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 1 /* 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 */ + +/* particle properties */ + +#define PARTICLE_HUE_MIN 330.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_EMAX 1.5e3 /* energy of particle with hottest color */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */ +#define KREPEL 12.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 5.0e2 /* damping coefficient of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.25 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 10.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ + +#define THERMOSTAT 1 /* set to 1 to switch on thermostat */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.001 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e8 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* 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 100.0 /* force constant in angular dynamics */ +#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 5.0 /* 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 1 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.1 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define FINAL_CONSTANT_PHASE 0 /* 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 1 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 1 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 1 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 2.0 /* 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 1 /* 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 MAX_PRESSURE 1.0e8 /* pressure shown in "hottest" color */ + +#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 25 /* time at which to add first particle */ +#define ADD_PERIOD 20 /* time interval between adding further particles */ +#define FINAL_NOADD_PERIOD 250 /* 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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ + +#define HASHX 25 /* size of hashgrid in x direction */ +#define HASHY 15 /* 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 */ + +``` + +### 1 March 22 - Larger spirals in the Rock-Paper-Scissors reaction-diffusion equation ### + +**Program:** `bz.c` + +**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, psi, chi, xy_in);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1000 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ + +#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 JULIA_SCALE 0.5 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */ +#define MU 0.8 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 5 /* depth of computation of Menger gasket */ +#define MRATIO 5 /* 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 15 /* number of grid point for grid of disks */ +#define NGRIDY 20 /* 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 -1.65 +#define ISO_XSHIFT_RIGHT 0.4 +#define ISO_YSHIFT_LEFT -0.05 +#define ISO_YSHIFT_RIGHT -0.05 +#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */ + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard in sub_wave.c */ + +/* Physical patameters of wave equation */ + +#define DT 0.0000001 + +#define VISCOSITY 10.0 + +#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */ + +#define EPSILON 0.8 /* time scale separation */ +#define DELTA 0.1 /* time scale separation */ +#define BZQ 0.0008 /* parameter in BZ equation */ +#define BZF 1.2 /* parameter in BZ equation */ + +#define T_OUT 2.0 /* outside temperature */ +#define T_IN 0.0 /* inside temperature */ +#define SPEED 0.0 /* speed of drift to the right */ + +#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */ +#define NOISE_INTENSITY 0.1 /* noise intensity */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 1 + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 5000 /* number of frames of movie */ +#define NVID 20 /* number of iterations between images displayed on screen */ +#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */ +#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */ +#define MAX_DT 0.024 /* maximal value of integration step */ + +#define NSEG 100 /* number of segments of boundary */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 2 /* sleep time during pause */ +#define SLEEP1 2 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define INITIAL_TIME 5 /* initial still time */ +#define END_FRAMES 50 /* number of still frames at end of movie */ + +/* For debugging purposes only */ +#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Plot type */ + +#define PLOT 0 + +#define PRINT_TIME 0 /* set to 1 to print running time */ + +#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */ +#define FIELD_LINE_WIDTH 1 /* width of field lines */ +#define N_FIELD_LINES 120 /* number of field lines */ +#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */ + +/* Color schemes, see list in global_pdes.c */ + +#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* black background */ + +#define COLOR_SCHEME 4 /* choice of color scheme */ + +#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 4.0 /* 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 */ @@ -866,9 +2521,10 @@ updated gradually. #define LOG_SCALE 1.0 /* scaling factor for energy log representation */ #define LOG_SHIFT 0.0 -#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 12.0 /* scale of color scheme bar for 2nd part */ -#define ROTATE_COLOR_SCHEME 1 /* set to 1 to draw color scheme horizontally */ +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ ``` + +