4698 lines
230 KiB
Markdown
4698 lines
230 KiB
Markdown
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### Parameter values for YouTube simulations ###
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Created by **Nils Berglund** and optimized by **Marco Mancini**
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C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
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Below are parameter values used for different simulations, as well as initial conditions used in
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function animation. Some simulations use variants of the published code. The list is going to be
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updated gradually.
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### 28 February 22 - Shock wave in a Lennard-Jones gas, with improved boundary conditions ###
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**Program:** `lennardjones.c`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define INITXMIN -2.9
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#define INITXMAX 2.9 /* x interval for initial condition */
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#define INITYMIN -1.0
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#define INITYMAX 1.0 /* y interval for initial condition */
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#define BCXMIN -3.0
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#define BCXMAX 3.0 /* x interval for boundary condition */
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#define BCYMIN -1.125
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#define BCYMAX 1.125 /* y interval for boundary condition */
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#define OBSXMIN -2.0
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#define OBSXMAX 2.0 /* x interval for motion of obstacle */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
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#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
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#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */
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#define TWO_TYPES 0 /* set to 1 to have two types of particles */
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#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
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#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
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#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
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#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
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#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */
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#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define PDISC_DISTANCE 5.0 /* minimal distance in Poisson disc process, controls density of particles */
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#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
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#define MU 0.012 /* parameter controlling radius of particles */
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#define MU_B 0.02427051 /* parameter controlling radius of particles of second type */
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#define NPOLY 3 /* number of sides of polygon */
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#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 4 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 10 /* number of grid point for grid of disks */
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#define NGRIDY 3 /* number of grid point for grid of disks */
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#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
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#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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/* Parameters for length and speed of simulation */
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#define NSTEPS 2700 /* number of frames of movie */
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#define NVID 250 /* number of iterations between images displayed on screen */
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#define NSEG 150 /* number of segments of boundary */
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#define INITIAL_TIME 100 /* time after which to start saving frames */
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#define BOUNDARY_WIDTH 1 /* width of particle boundary */
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#define LINK_WIDTH 2 /* width of links between particles */
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#define CONTAINER_WIDTH 4 /* width of container boundary */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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/* Boundary conditions, see list in global_ljones.c */
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#define BOUNDARY_COND 4
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/* Plot type, see list in global_ljones.c */
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#define PLOT 0
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#define PLOT_B 6 /* plot type for second movie */
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#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
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/* Color schemes */
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#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
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/* particle properties */
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#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
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#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */
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#define PARTICLE_EMAX 1.5e3 /* energy of particle with hottest color */
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#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
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#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
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#define KREPEL 12.0 /* constant in repelling force between particles */
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#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
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#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
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#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
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#define DAMPING 5.0e2 /* damping coefficient of particles */
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#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
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#define PARTICLE_MASS_B 0.1 /* mass of particle of radius MU */
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#define PARTICLE_INERTIA_MOMENT 0.25 /* moment of inertia of particle */
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#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
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#define V_INITIAL 10.0 /* initial velocity range */
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#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
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#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
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#define SIGMA 5.0 /* noise intensity in thermostat */
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#define BETA 0.001 /* initial inverse temperature */
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#define MU_XI 0.01 /* friction constant in thermostat */
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#define KSPRING_BOUNDARY 5.0e8 /* confining harmonic potential outside simulation region */
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#define KSPRING_OBSTACLE 5.0e7 /* harmonic potential of obstacles */
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#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */
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#define GRAVITY 0.0 /* gravity acting on all particles */
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#define ROTATION 0 /* set to 1 to include rotation of particles */
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#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
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#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
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#define KTORQUE 100.0 /* force constant in angular dynamics */
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#define KTORQUE_B 10.0 /* force constant in angular dynamics */
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#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
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#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
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#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
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#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
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#define SPIN_RANGE 5.0 /* range of spin-spin interaction */
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#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
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#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
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#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
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#define BETA_FACTOR 0.1 /* factor by which to change BETA during simulation */
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#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */
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#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
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#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
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#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
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#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
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#define COMPRESSION_RATIO 0.3 /* final size of container */
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#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
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#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
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#define MOVE_OBSTACLE 1 /* set to 1 to have a moving obstacle */
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#define CENTER_VIEW_ON_OBSTACLE 1 /* set to 1 to center display on moving obstacle */
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#define RESAMPLE_Y 1 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
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#define NTRIALS 2000 /* number of trials when resampling */
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#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */
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#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
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#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
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#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
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#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
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#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
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#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
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#define NPART_BOTTOM 100 /* number of particles at the bottom */
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#define ADD_PARTICLES 0 /* set to 1 to add particles */
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#define ADD_TIME 25 /* time at which to add first particle */
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#define ADD_PERIOD 20 /* time interval between adding further particles */
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#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
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#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
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#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
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#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
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#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
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#define FMAX 1.0e9 /* maximal force */
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#define HASHX 25 /* size of hashgrid in x direction */
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#define HASHY 15 /* size of hashgrid in y direction */
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#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
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#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
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#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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```
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### 27 February 22 - A Fresnel zone plate, higher resolution version ###
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**Program:** `wave_diffraction.c` (variant of `wave_billiard.c`)
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**Initial condition in function `animation()`:** ``
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1000 /* window height */
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#define NX 3840 /* number of grid points on x axis */
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#define NY 2000 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
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/* Choice of wave speed distribution */
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#define WS_EARTH 1 /* wave speed in the Earth */
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#define WS_FRESNEL_PLATE 2 /* Fresnel plate */
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#define WAVE_SPEED 2 /* choice of wave speed */
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#define CIRCLE_PATTERN 99 /* pattern of circles or polygons, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.2 /* parameter controlling the dimensions of domain */
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#define MU 0.05 /* parameter controlling the dimensions of domain */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 5 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 10 /* number of grid point for grid of disks */
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#define NGRIDY 12 /* number of grid point for grid of disks */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -2.9
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#define ISO_XSHIFT_RIGHT 1.4
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#define ISO_YSHIFT_LEFT -0.15
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#define ISO_YSHIFT_RIGHT -0.15
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#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard below */
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/* Physical parameters of wave equation */
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#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
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#define OMEGA 0.004 /* frequency of periodic excitation */
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#define AMPLITUDE 2.0 /* amplitude of periodic excitation */
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#define COURANT 0.03 /* Courant number */
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#define COURANTB 0.01 /* Courant number in medium B */
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#define GAMMA 2.0e-3 /* damping factor in wave equation */
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#define GAMMAB 1.0e-6 /* damping factor in wave equation */
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#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
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#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
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#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 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 1500 /* number of frames of movie */
|
||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define 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 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0001 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
#define PLOT_B 5 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#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 0.75 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
||
|
|
#define LOG_SHIFT -1.5 /* 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 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 1.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 50.0 /* 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 */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 26 February 22 - A molecular Galton board ###
|
||
|
|
|
||
|
|
**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 -0.05
|
||
|
|
#define INITXMAX 0.05 /* x interval for initial condition */
|
||
|
|
#define INITYMIN 1.1
|
||
|
|
#define INITYMAX 1.125 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 99 /* 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 1 /* 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 3.75 /* 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 0.017 /* 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 5000 /* number of frames of movie */
|
||
|
|
#define NVID 450 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 10 /* 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 12
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
#define PLOT_B 5 /* 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 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 1.5e3 /* energy of particle with hottest color */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-7 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* 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 1.5e3 /* 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 20.0 /* initial velocity range */
|
||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
||
|
|
|
||
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 0.001 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.025 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e10 /* confining harmonic potential outside simulation region */
|
||
|
|
#define KSPRING_OBSTACLE 1.0e10 /* harmonic potential of obstacles */
|
||
|
|
#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */
|
||
|
|
#define GRAVITY 500000.0 /* 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 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 250.0 /* 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 OBSTACLE_RADIUS 0.03 /* 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 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 3.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
||
|
|
|
||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* 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 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 25 February 22 - A Fresnel zone plate ###
|
||
|
|
|
||
|
|
**Program:** `wave_diffraction.c` (variant of `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 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
#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 HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
||
|
|
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
/* Choice of wave speed distribution */
|
||
|
|
|
||
|
|
#define WS_EARTH 1 /* wave speed in the Earth */
|
||
|
|
#define WS_FRESNEL_PLATE 2 /* Fresnel plate */
|
||
|
|
|
||
|
|
#define WAVE_SPEED 2 /* choice of wave speed */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles or polygons, 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 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.2 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.05 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* 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 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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 2.0 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.02 /* Courant number */
|
||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
||
|
|
#define GAMMA 2.0e-3 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* 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 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define 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 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0001 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
#define PLOT_B 5 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#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 1.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
||
|
|
#define LOG_SHIFT 2.5 /* 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 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 1.5 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 0.25 /* 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 */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 24 February 22 - Epidemics: a spatial SIR model with graphs ###
|
||
|
|
|
||
|
|
**Program:** `sir.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate 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 -1.95
|
||
|
|
#define INITXMAX 1.95 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.075
|
||
|
|
#define INITYMAX 0.1 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.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 PDISC_DISTANCE 5.0 /* minimal distance in Poisson disc process */
|
||
|
|
#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 SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.018 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* 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 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* 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 */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
// #define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
||
|
|
#define NVID 300 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 50 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
||
|
|
|
||
|
|
#define PLOT_GRAPH 1 /* set to 1 to plot gaph of populations */
|
||
|
|
|
||
|
|
#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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BOUNDARY_COND 1
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 2
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 0 /* 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 1.0 /* 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 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 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 5.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 4.0e-7 /* time step for particle displacement */
|
||
|
|
#define KREPEL 30.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 3.5 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 20.0 /* initial velocity range */
|
||
|
|
#define SIGMA 10.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 1.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e8 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
||
|
|
#define OBSTACLE_RADIUS 0.27 /* radius of obstacle for circle boundary conditions */
|
||
|
|
|
||
|
|
#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 ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define P_PROTECTED 0.5 /* probability of being protected */
|
||
|
|
#define CONTAMINATION_RADIUS 3.25 /* radius in which people can contiminate others */
|
||
|
|
#define P_INFECTION 0.05 /* probability of getting infected */
|
||
|
|
#define P_INFECTION_PROTECTED 0.005 /* probability of getting infected if protected */
|
||
|
|
#define INFECTION_CHANGE 0.2 /* time change of infection */
|
||
|
|
#define RECOVER_THRESHOLD 100.0 /* threshold for getting recovered */
|
||
|
|
|
||
|
|
#define HASHX 20 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 12 /* 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 */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 23 February 22 - A reaction-diffusion equation based on the Rock-Paper-Scissors automaton (longer version) ###
|
||
|
|
|
||
|
|
**Program:** `bz.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.5, 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 0.000001
|
||
|
|
|
||
|
|
#define VISCOSITY 0.5
|
||
|
|
|
||
|
|
#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 NOISE_INTENSITY 0.05 /* noise intensity */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 1
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
||
|
|
#define NVID 5 /* 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 25 /* initial still time */
|
||
|
|
#define END_FRAMES 100 /* 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
|
||
|
|
|
||
|
|
/* Field representation */
|
||
|
|
|
||
|
|
#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 ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
### 22 February 22 - Periodic trajectories in a Tokarsky room ###
|
||
|
|
|
||
|
|
**Program:** `particle_trajectory.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:**
|
||
|
|
|
||
|
|
```
|
||
|
|
time = (double)i/(double)(NSTEPS-1);
|
||
|
|
x = 0.0;
|
||
|
|
if (time < 0.5) y = 0.999 - 0.798*2.0*time;
|
||
|
|
else y = 0.999 - 0.798 + 0.798*2.0*(time - 0.5);
|
||
|
|
alpha = 0.0;
|
||
|
|
compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length);
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#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 SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 6 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 6 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 9 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.01 /* second parameter controlling shape of billiard */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NPOLY 7 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
||
|
|
|
||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
||
|
|
|
||
|
|
/* Simulation parameters */
|
||
|
|
|
||
|
|
#define NPART 1 /* number of particles */
|
||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
||
|
|
#define TRAJ_LENGTH 256 /* length of trajectory */
|
||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
#define PRINT_TRAJECTORY_LENGTH 0 /* set to 1 to print length of trajectory 0 */
|
||
|
|
#define PRINT_TRAJECTORY_PERIOD 1 /* set to 1 to print period of trajectory 0 */
|
||
|
|
|
||
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.00001 /* integration step */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 64 /* number of colors */
|
||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#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 1000 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of frames at end of movie */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 21 February 22 - A reaction-diffusion equation based on the Rock-Paper-Scissors automaton ###
|
||
|
|
|
||
|
|
**Program:** `bz.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.5, phi, psi, chi, xy_in);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 720 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 720 /* number of grid points on x axis */
|
||
|
|
#define NY 720 /* number of grid points on y axis */
|
||
|
|
|
||
|
|
#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 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 2.5
|
||
|
|
|
||
|
|
#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 1250 /* number of frames of movie */
|
||
|
|
#define NVID 15 /* 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 */
|
||
|
|
#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 ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 20 February 22 - Osmosis ###
|
||
|
|
|
||
|
|
**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 -1.6
|
||
|
|
#define INITXMAX -0.4 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -0.6
|
||
|
|
#define INITYMAX 0.6 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction */
|
||
|
|
|
||
|
|
#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 3.75 /* 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 0.017 /* 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 80 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 25 /* 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 5500 /* number of frames of movie */
|
||
|
|
#define NVID 750 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 10 /* 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 5
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 5
|
||
|
|
#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 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 1.5e3 /* energy of particle with hottest color */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 0.5e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 7.0 /* 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 20.0 /* 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 0.025 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 2.0e8 /* confining harmonic potential outside simulation region */
|
||
|
|
#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 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 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 250.0 /* 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 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 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 EHRENFEST_COPY 1 /* 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 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 19 February 22 - A quadratic resonance diffuser ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(-0.5, 0.0, 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 */
|
||
|
|
#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 -1.7
|
||
|
|
#define XMAX 2.3 /* x interval */
|
||
|
|
#define YMIN -1.041666667
|
||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 46 /* 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 */
|
||
|
|
|
||
|
|
#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 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 0.1 /* 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 */
|
||
|
|
#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 36 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.004 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 2.0 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.03 /* Courant number */
|
||
|
|
#define COURANTB 0.017704918 /* 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 GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
||
|
|
#define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 0
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 1600 /* number of frames of movie */
|
||
|
|
#define NVID 25 /* 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 */
|
||
|
|
|
||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 2 /* 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 */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 5
|
||
|
|
|
||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#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 150.0 /* scaling factor for energy representation */
|
||
|
|
#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 */
|
||
|
|
#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 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 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 */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 18 February 22 - Interacting particles in Ehrenfest-type urns ###
|
||
|
|
|
||
|
|
**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 -1.6
|
||
|
|
#define INITXMAX -0.4 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -0.6
|
||
|
|
#define INITYMAX 0.6 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 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 3.2 /* 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 80 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 25 /* number of grid point for grid of disks */
|
||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
||
|
|
#define EHRENFEST_WIDTH 0.075 /* 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 9000 /* number of frames of movie */
|
||
|
|
#define NVID 450 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 10 /* 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 5
|
||
|
|
|
||
|
|
/* 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 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 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 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 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 0.025 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 2.0e8 /* confining harmonic potential outside simulation region */
|
||
|
|
#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 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 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 250.0 /* 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 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 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 FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 1.0e9 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 17 February 22 - Interacting squares on a topological Klein bottle ###
|
||
|
|
|
||
|
|
**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 -1.9
|
||
|
|
#define INITXMAX 1.9 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.1
|
||
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 2 /* 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 2.5 /* 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 0.03 /* 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 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 2000 /* 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 10 /* 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 11
|
||
|
|
|
||
|
|
/* 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 2.0e2 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* 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 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.0 /* 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 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 250.0 /* 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 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 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 FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 1.0e9 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 16 February 22 - Two Fresnel lenses facing away from each other ###
|
||
|
|
|
||
|
|
**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 WINWIDTH 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1000 /* window height */
|
||
|
|
#define NX 3840 /* number of grid points on x axis */
|
||
|
|
#define NY 2000 /* number of grid points on y axis */
|
||
|
|
|
||
|
|
#define XMIN -1.7
|
||
|
|
#define XMAX 2.3 /* x interval */
|
||
|
|
#define YMIN -1.041666667
|
||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 45 /* 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 */
|
||
|
|
|
||
|
|
#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 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA -1.3 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.07 /* 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 */
|
||
|
|
#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 36 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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 2.0 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.03 /* Courant number */
|
||
|
|
#define COURANTB 0.017704918 /* 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 GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
||
|
|
#define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3825 /* number of frames of movie */
|
||
|
|
#define NVID 25 /* 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 */
|
||
|
|
|
||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 2 /* 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 */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 4
|
||
|
|
|
||
|
|
#define PLOT_B 5 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#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 150.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
||
|
|
#define LOG_SHIFT 5.0 /* 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 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 0.05 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 15 February 22 - Interacting dipoles on a topological Klein bottle ###
|
||
|
|
|
||
|
|
**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 -1.8
|
||
|
|
#define INITXMAX 1.8 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.0
|
||
|
|
#define INITYMAX 1.0 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 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 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 1800 /* number of frames of movie */
|
||
|
|
#define NVID 120 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 10 /* 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 11
|
||
|
|
|
||
|
|
/* 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 1.0e3 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* 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 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 0.1 /* 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 0.05 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 3.0 /* 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 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 250.0 /* 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 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 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 FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 1.0e8 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 24 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 14 February 22 - Crystal formation on a topological Klein bottle ###
|
||
|
|
|
||
|
|
**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 -1.8
|
||
|
|
#define INITXMAX 1.8 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.0
|
||
|
|
#define INITYMAX 1.0 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 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 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 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 1700 /* 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 10 /* 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 11
|
||
|
|
|
||
|
|
/* 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 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 2.0e2 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* 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 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 0.1 /* 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* 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 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 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 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 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 FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 1.0e9 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 13 February 22 - Wave protection comparison 16: nonuniformly spaced triangles with two opposed directions ###
|
||
|
|
|
||
|
|
**Program:** `wave_comparison.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `int_planar_wave_comp(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#define TIME_LAPSE 1 /* 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 -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 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
#define B_DOMAIN_B 40 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.035 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MUB 0.035 /* 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 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.0 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.02 /* Courant number */
|
||
|
|
#define COURANTB 0.004 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-8 /* 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 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3700 /* 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 150 /* time after which to start saving frames */
|
||
|
|
#define COMPUTE_ENERGIES 1 /* 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 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 4
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 12 /* 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 2000.0 /* 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 30.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 30.0 /* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 12 February 22 - Frustration in an antiferromagnetic material ###
|
||
|
|
|
||
|
|
**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 -2.0
|
||
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.125
|
||
|
|
#define INITYMAX 1.125 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 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 2.0 /* 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 0.045 /* 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 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 2500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 2
|
||
|
|
#define BOUNDARY_COND 3
|
||
|
|
|
||
|
|
/* 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 1.0e3 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 3.5 /* 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 0.01 /* 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 3.3 /* 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 -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 1 /* set to 1 to have exponential BETA change only */
|
||
|
|
#define FINAL_CONSTANT_PHASE 100 /* 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 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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 11 February 22 - Liquid crystals ###
|
||
|
|
|
||
|
|
**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 720 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -1.125
|
||
|
|
#define XMAX 1.125 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define INITXMIN -1.125
|
||
|
|
#define INITXMAX 1.125 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -1.125
|
||
|
|
#define INITYMAX 1.125 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 6 /* 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 2.25 /* 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 0.5 /* 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 1350 /* number of frames of movie */
|
||
|
|
#define NVID 120 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 50 /* 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 3
|
||
|
|
|
||
|
|
/* 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 1.0e3 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-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 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 0.001 /* 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 3.3 /* 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 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 100 /* 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 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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 10 February 22 - Phase of spiral waves in the stochastic FitzHugh-Nagumo equation ###
|
||
|
|
|
||
|
|
**Program:** `fhn.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, psi, 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 0.00000015
|
||
|
|
|
||
|
|
#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 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 */
|
||
|
|
|
||
|
|
#define B_COND 1
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3700 /* 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 25 /* initial still time */
|
||
|
|
#define END_FRAMES 100 /* 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 11
|
||
|
|
|
||
|
|
/* Field representation */
|
||
|
|
|
||
|
|
#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 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 0.55 /* scale of color scheme bar */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 9 February 22 - A Carnot cycle ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones_carnot.c` (variant of `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 -1.05
|
||
|
|
#define INITYMAX 0.0 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* 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 3500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 150 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 400 /* 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 1
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
#define PLOT_B 6 /* 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 1.0e3 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-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 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_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 THERMOSTAT 0 /* 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#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 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 400 /* final phase in which temperature is constant */
|
||
|
|
|
||
|
|
#define DECREASE_CONTAINER_SIZE 1 /* 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 0 /* set to 1 to restore container to initial size at end of simulation */
|
||
|
|
#define RESTORE_TIME 0 /* 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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 8 February 22 - Spiral waves in the stochastic FitzHugh-Nagumo equation ###
|
||
|
|
|
||
|
|
**Program:** `fhn.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, psi, 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 0.00000025
|
||
|
|
|
||
|
|
#define VISCOSITY 2.0
|
||
|
|
#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 1 /* 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 4500 /* number of frames of movie */
|
||
|
|
#define NVID 5 /* 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 SLEEP1 2 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define INITIAL_TIME 25 /* initial still time */
|
||
|
|
#define END_FRAMES 100 /* 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
|
||
|
|
|
||
|
|
/* Field representation */
|
||
|
|
|
||
|
|
#define FIELD_REP 0
|
||
|
|
|
||
|
|
#define F_INTENSITY 0 /* color represents intensity */
|
||
|
|
#define F_GRADIENT 1 /* color represents norm of gradient */
|
||
|
|
|
||
|
|
#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 11 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* black background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#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 2.0 /* scale of color scheme bar */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 7 February 22 - Another property of the Tokarsky unilluminable room without right angles ###
|
||
|
|
|
||
|
|
**Program:** `particle_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_line_config(0.0, 0.3, 0.0, 0.9, 0.0, configs);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#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 SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 6 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 30 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.015 /* second parameter controlling shape of billiard */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
||
|
|
|
||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
||
|
|
|
||
|
|
/* Simulation parameters */
|
||
|
|
|
||
|
|
#define NPART 5000 /* number of particles */
|
||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles */
|
||
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
|
||
|
|
#define NSTEPS 5000 /* number of frames of movie */
|
||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.00001 /* integration step */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 32 /* number of colors */
|
||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define LENGTH 0.05 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 6 February 22 - Phase separation in the Cahn-Hilliard equation ###
|
||
|
|
|
||
|
|
**Program:** `cahnhilliard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, 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 0.000002
|
||
|
|
#define VISCOSITY 20.0
|
||
|
|
#define GAMMA_INVERSE 1.0
|
||
|
|
|
||
|
|
#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 */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 1
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2700 /* number of frames of movie */
|
||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
||
|
|
#define ACCELERATION_FACTOR 20.0 /* factor by which to increase NVID in course of simulation */
|
||
|
|
#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 SLEEP1 2 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define INITIAL_TIME 25 /* initial still time */
|
||
|
|
#define END_FRAMES 100 /* 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 */
|
||
|
|
|
||
|
|
/* Field representation */
|
||
|
|
|
||
|
|
#define FIELD_REP 0
|
||
|
|
|
||
|
|
#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 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 2 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* black background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
||
|
|
|
||
|
|
#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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 5 February 22 - An adiabatic piston ###
|
||
|
|
|
||
|
|
**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 -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 CIRCLE_PATTERN 8 /* 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 0.015 /* 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 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 3100 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 1
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
#define PLOT_B 6 /* 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 1.0e3 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define DT_PARTICLE 2.0e-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 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_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 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 2.0e7 /* confining harmonic potential outside simulation region */
|
||
|
|
#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 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 1 /* 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 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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 4 February 22 - Raindrops in a von Koch snowflake ###
|
||
|
|
|
||
|
|
**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++;
|
||
|
|
}
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#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 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 CIRCLE_PATTERN 201 /* pattern of circles or polygons, 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 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 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 */
|
||
|
|
#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 36 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.03 /* Courant number */
|
||
|
|
#define COURANTB 0.01 /* 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 GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
#define ADD_OSCILLATING_SOURCE 1 /* 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
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2200 /* number of frames of movie */
|
||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 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 */
|
||
|
|
|
||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 2 /* 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 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
#define PLOT_B 5 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#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 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 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 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 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 */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 3 February 22 - Deep impact: Throwing large discs into a Lennard-Jones crystal without a thermostat ###
|
||
|
|
|
||
|
|
**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 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 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 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 1 February 22 - Phase separation in the Allen-Cahn equation, with a start in slow motion ###
|
||
|
|
|
||
|
|
**Program:** `allencahn.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_random(0.0, 1.0, phi, 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 0.0000002
|
||
|
|
#define VISCOSITY 20.0
|
||
|
|
#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 */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 1
|
||
|
|
|
||
|
|
/* 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 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 SLEEP1 2 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define INITIAL_TIME 25 /* initial still time */
|
||
|
|
#define END_FRAMES 100 /* 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 */
|
||
|
|
|
||
|
|
/* Field representation */
|
||
|
|
|
||
|
|
#define FIELD_REP 0
|
||
|
|
|
||
|
|
#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 DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
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#define N_FIELD_LINES 120 /* number of field lines */
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#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
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/* Color schemes, see list in global_pdes.c */
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#define COLOR_PALETTE 2 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* black background */
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#define COLOR_SCHEME 3 /* choice of color scheme */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 0.99 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define E_SCALE 100.0 /* scaling factor for energy representation */
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#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
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#define LOG_SHIFT 0.0
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 1 /* set to 1 to draw color scheme horizontally */
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||
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```
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