diff --git a/Parameters_September23.md b/Parameters_September23.md new file mode 100644 index 0000000..cf0408e --- /dev/null +++ b/Parameters_September23.md @@ -0,0 +1,8676 @@ + ### Parameter values for YouTube simulations ### + +Created by **Nils Berglund** and optimized by **Marco Mancini** + +C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund + +Below are parameter values used for different simulations, as well as initial conditions used in +function animation. Some simulations use variants of the published code. The list is going to be +updated gradually. + + +### 30 September 23 - Waves on a planet with a fractal archipelago, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_circular_wave_sphere(0.25 + PID, 0.0, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0, 0.25 + 3.0*PID, 0.0, phi, psi, xy_in, wsphere); + +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1180 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 90.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 83 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 32 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.40824829, 0.40824829, 0.816496581}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 29 September 23 - How can an Earthquake in Japan cause a tsunami in Chile? ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(-139.6503*PI/180.0, 35.6762*PI/180.0, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 90.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2200 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -190.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-8.0, -8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 1.5 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 28 September 23 - Lift and drag vs angle of attack for an airfoil in a granular medium ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 4525 /* number of frames of movie */ +// #define NSTEPS 1000 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 13 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 1 /* set to 1 to print force on segments */ +#define FORCE_FACTOR 0.1 /* factor controlling length of force vector */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 300 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX -2.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 27 September 23 - Waves with dodecahedral symmetry on the sphere, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_wave_flat_sphere(phi, psi, xy_in, wsphere); + + for (j=0; j<3; j++) + { + a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[4].x + circ_sphere[8].x; + b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[4].y + circ_sphere[8].y; + c = 1.0 + circ_sphere[1].z + circ_sphere[2].z + circ_sphere[4].z + circ_sphere[8].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere); + + a = circ_sphere[4].x + circ_sphere[8].x + circ_sphere[10].x + circ_sphere[13].x + circ_sphere[16].x; + b = circ_sphere[4].y + circ_sphere[8].y + circ_sphere[10].y + circ_sphere[13].y + circ_sphere[16].y; + c = circ_sphere[4].z + circ_sphere[8].z + circ_sphere[10].z + circ_sphere[13].z + circ_sphere[16].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere); + } + +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1180 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.0 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.4 /* scaling for Julia sets */ +#define JULIA_RE 0.37468 +#define JULIA_IM 0.21115 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 30 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3200 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.15 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 2.5 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 200.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 4000.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.40824829, 0.40824829, 0.816496581}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 26 September 23 - Does an airfoil in a granular medium experience lift? ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 24 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 40 /* number of sides of polygon */ +#define APOLY 0.07 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2800 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 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 13 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ +#define PRINT_ANGLE 0 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 0 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ +#define PRINT_SEGMENTS_FORCE 1 /* set to 1 to print force on segments */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 5000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 25 September 23 - Simulation of an asteroid impact in the Indian Ocean, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(5.0, -0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ + +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2800 /* number of frames of movie */ +#define NVID 6 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 170.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 23 September 23 - Simulation of an asteroid impact in the Indian Ocean, seen from a circular orbit ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(5.0, -0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2800 /* number of frames of movie */ +#define NVID 6 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 22 September 23 - Trying to sort particles by mass in a granular medium flowing around a wedge ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 22 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 140 /* number of grid point for grid of disks */ +#define NGRIDY 70 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 4500 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 25.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 1000.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 21 September 23 - Waves with icosahedral symmetry on the sphere, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_wave_flat_sphere(phi, psi, xy_in, wsphere); + + for (j=0; j<5; j++) + { + a = circ_sphere[1].x + circ_sphere[2].x; + b = circ_sphere[1].y + circ_sphere[2].y; + c = 1.0 + circ_sphere[1].z + circ_sphere[2].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/5.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/5.0 + PI/5.0, theta - PID, phi, psi, xy_in, wsphere); + + a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[6].x; + b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[6].y; + c = circ_sphere[1].z + circ_sphere[2].z + circ_sphere[6].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/5.0 + PI/5.0, theta - PID, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/5.0, PID - theta, phi, psi, xy_in, wsphere); + } +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1180 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.0 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.4 /* scaling for Julia sets */ +#define JULIA_RE 0.37468 +#define JULIA_IM 0.21115 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 31 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.15 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 0.75 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 200.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 4000.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 20 September 23 - What will the Earth look like with rising sea levels? ### + +**Program:** `earth_sealevel.c` (variant of `wave_sphere.c`) + +**Initial condition in function `animation()`:** `init_wave_flat_sphere(phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 90.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 2500 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 1 /* linear projection (axonometry) */ +#define REP_PROJ_3D 0 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 20 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 1.5 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-6.0, 8.0, 5.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 20 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ +#define ZERO_MERIDIAN 180.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_ROT 180.0 /* rotation of Julia set, in degrees */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 10 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.002 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.001 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */ +#define ROTATE_VIEW_WHILE_FADE 0 /* set to 1 to keep rotating viewpoint during fade */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 0.0, -5.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define ADD_DEM 1 /* add DEM (digital elevation model) */ +#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */ +#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */ +#define DEM_SMOOTH_STEPS 20 /* number of smoothening steps */ +#define DEM_MAXHEIGHT 8000 /* max height of DEM (estimated from Everest) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 19 September 23 - A granular medium with two types of particles: mass ratio 20 ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 140 /* number of grid point for grid of disks */ +#define NGRIDY 70 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 25 /* number of segments of boundary of circles */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 1 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 25.0 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.8 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 18 September 23 - Simulation of an asteroid impact in the North Pacific Ocean, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(3.0, 0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 5 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 0.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 16 September 23 - Simulation of an asteroid impact in the North Pacific Ocean, seen from a circular orbit ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(3.0, 0.6, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 5 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 0 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 180.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 0.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 15 September 23 - A granular medium with two types of particles ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.1 +#define INITYMAX 1.1 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 4 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 1 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.014 /* parameter controlling radius of particles */ +#define MU_B 0.010 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3300 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 250 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 5 +#define PLOT_B 11 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 0 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 280.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 60.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.2 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 5000.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 14 September 23 - Waves with cubic symmetry on a sphere ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + for (j=0; j<3; j++) + { + a = circ_sphere[4].x; + b = circ_sphere[4].y; + c = 1.0 + circ_sphere[4].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere); + + a = circ_sphere[1].x; + b = circ_sphere[1].y; + c = 1.0 + circ_sphere[1].z; + theta = acos(c/sqrt(a*a + b*b + c*c)); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 + PI/3.0, PID - theta, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0, theta - PID, phi, psi, xy_in, wsphere); + + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 + PI/6.0, 0.0, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0,(double)j*DPI/3.0 - PI/6.0, 0.0, phi, psi, xy_in, wsphere); + } +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2000 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.8 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.25 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 112 +#define CPLOT_B 113 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 900.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 4.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 150.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 1200.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.03 /* scaling factor of radial component */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */ + +``` + +### 13 September 23 - Waves on a planet with a fractal continent, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_circular_wave_sphere(PID, -0.1, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0, 3.0*PID, -0.1, phi, psi, xy_in, wsphere); +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 1920 /* number of grid points on x axis */ +#define NY 1190 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.4 /* scaling for Julia sets */ +#define JULIA_RE 0.37468 +#define JULIA_IM 0.21115 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 82 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 30 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3850 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector to plane */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ +#define SHADE_SCALE_2D 10.0 /* controls "depth" of 2D shading */ +#define COS_LIGHT_MIN 0.0 /* controls angle-dependence of 2D shading */ +#define COS_LIGHT_MAX 0.8 /* controls angle-dependence of 2D shading */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.40824829, -0.40824829, 0.816496581}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {5.0, -10.0, -7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 5.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 12 September 23 - Dislocation dynamics around a blender in a granular medium ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3200 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 250 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 1 +#define PLOT_B 15 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 60.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 280.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 3.2 /* radius in which to count neighbours */ +#define GRAVITY 2500.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 11 September 23 - Simulation of a meteor impact in the South Pacific Ocean, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(2.6, -0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 30.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +P_3D_ANGLE color scheme */ +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 4.0, -3.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 9 September 23 - A blender in a granular medium ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.03 +#define INITXMAX 2.03 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.135 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 23 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.012 /* parameter controlling radius of particles */ +#define MU_B 0.012 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 130 /* number of grid point for grid of disks */ +#define NGRIDY 65 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3200 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 250 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 11 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 60.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 280.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 2.7 /* radius in which to count neighbours */ +#define GRAVITY 2500.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 8 September 23 - Simulation of a meteor impact in the Atlantic Ocean, 2D representation ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(0.7, 0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ +#define PLOT_2D 1 /* switch to 2D representation, equirectangular projection */ +#define PHISHIFT 180.0 /* shift of phi in 2D plot (in degrees) */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {6.0, 8.0, 2.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 7 September 23 - Faraday waves in an elliptical container vibrating at period 1 ### + +**Program:** `rde.c` + +**Initial condition in function `animation()`:** +``` + init_elliptical_vibration(0.0, 0.0, 0.0075, LAMBDA, 1.0, 0.0003, 0.1, 1.0, SWATER_MIN_HEIGHT, phi, xy_in); + + if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 0)) + { + phase = (double)i*OSCILLATING_SOURCE_OMEGA; + printf("Adding vibration with phase %.3lg\n", phase); + add_elliptical_vibration(0.0, 0.0, 0.00007*cos(phase), LAMBDA, 1.0, 0.00004*cos(phase), 0.1, 1.0, SWATER_MIN_HEIGHT, phi, 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 SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 960 /* number of grid points on x axis */ +#define NY 575 /* number of grid points on y axis */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.197916667 +#define YMAX 1.197916667 /* y interval for 9/16 aspect ratio */ + +/* Choice of simulated equation */ + +#define RDE_EQUATION 8 /* choice of reaction term, see list in global_3d.c */ +#define NFIELDS 3 /* number of fields in reaction-diffusion equation */ +#define NLAPLACIANS 0 /* number of fields for which to compute Laplacian */ + +#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */ +#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */ +#define ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */ +#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */ +#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */ +#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */ +#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */ +#define SWATER_DEPTH 4 /* variable depth in shallow water equation */ + +#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */ +#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */ +#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */ +#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */ +#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */ + +#define JULIA_SCALE 0.5 /* scaling for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 8 /* 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 1.2 /* parameter controlling the dimensions of domain */ +#define MU 0.06 /* parameter controlling the dimensions of domain */ +#define NPOLY 5 /* number of sides of polygon */ +#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* 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 6 /* number of grid point for grid of disks */ +#define NGRIDY 8 /* number of grid point for grid of disks */ +#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */ + +#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 parameters of wave equation */ + +#define DT 0.00000025 + +#define VISCOSITY 1.5e-5 +#define DISSIPATION 1.0e-8 + +#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */ +#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */ + +#define EPSILON 0.8 /* time scale separation */ +#define DELTA 0.1 /* time scale separation */ +#define FHNA 1.0 /* parameter in FHN equation */ +#define FHNC -0.01 /* parameter in FHN equation */ +#define K_HARMONIC 1.0 /* spring constant of harmonic potential */ +#define K_COULOMB 0.5 /* constant in Coulomb potential */ +#define V_MAZE 0.4 /* potential in walls of maze */ +#define BZQ 0.0008 /* parameter in BZ equation */ +#define BZF 1.2 /* parameter in BZ equation */ +#define B_FIELD 10.0 /* magnetic field */ +#define G_FIELD 0.75 /* gravity */ +#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */ +#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */ +#define K_EULER 50.0 /* constant in stream function integration of Euler equation */ +#define K_EULER_INC 0.5 /* constant in incompressible Euler equation */ + +#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */ +#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */ +#define SMOOTHEN_PERIOD 10 /* period between smoothenings */ +#define SMOOTH_FACTOR 0.15 /* factor by which to smoothen */ + +#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */ +#define OSCILLATING_SOURCE_OMEGA 0.2 /* frequency of oscillating source */ + +#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */ +#define N_TRACERS 1000 /* number of tracer particles */ +#define TRACERS_STEP 0.005 /* step size in tracer evolution */ + +#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 0.005 /* noise intensity */ +#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */ +#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */ +#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */ + +#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */ +#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */ +#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */ +#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */ +#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase, + for numerical stability */ + +#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */ +#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */ +#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */ +#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */ + +#define CHANGE_FLOW_SPEED 0 /* set to 1 to change speed of laminar flow */ +#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */ +#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */ +#define BC_FLOW_TYPE 1 /* type of initial condition */ + /* see list in global_pdes.c */ +#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */ +#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */ +#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */ +#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */ +#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */ + +#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */ +#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */ +#define TANH_FACTOR 1.0 /* steepness of variable depth */ + +#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 0 + +#define B_COND_LEFT 0 +#define B_COND_RIGHT 0 +#define B_COND_TOP 0 +#define B_COND_BOTTOM 0 + + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 1300 /* number of frames of movie */ +#define NVID 45 /* 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 999 /* 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 0 /* initial still time */ +#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 50 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ + +/* Visualisation */ + +#define PLOT_3D 1 /* controls whether plot is 2D or 3D */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */ + +/* Plot type - color scheme */ + +#define CPLOT 70 +#define CPLOT_B 74 + +/* Plot type - height of 3D plot */ + +#define ZPLOT 70 /* z coordinate in 3D plot */ +#define ZPLOT_B 71 /* z coordinate in second 3D plot */ + +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */ +#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */ +#define FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */ +#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */ +#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */ +#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */ +#define DRAW_DEPTH 0 /* set to 1 to draw water depth */ +#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */ +#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */ + +#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */ + +#define PRINT_TIME 0 /* set to 1 to print running time */ +#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */ +#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */ +#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */ +#define PRINT_NOISE 0 /* set to 1 to print noise intensity */ +#define PRINT_FLOW_SPEED 0 /* set to 1 to print speed of flow */ +#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */ +#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */ + +#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 */ +#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */ +#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +/* Color schemes, see list in global_pdes.c */ + +#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* black background */ + +#define COLOR_SCHEME 3 /* choice of color scheme */ + +#define COLOR_PHASE_SHIFT 0.5 /* phase shift of color scheme, in units of Pi */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 15.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define CURL_SCALE 0.000015 /* scaling factor for curl representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ +#define SLOPE_SCHROD_LUM 400.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */ +#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/ +#define VSCALE_PRESSURE 2.0 /* additional scaling factor for color scheme Z_EULER_PRESSURE */ +#define PRESSURE_SHIFT 10.0 /* shift for color scheme Z_EULER_PRESSURE */ +#define PRESSURE_LOG_SHIFT -2.5 /* shift for color scheme Z_EULER_PRESSURE */ +#define VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */ + +#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 FLUX_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.5 /* scaling factor for energy log representation */ +#define LOG_SHIFT 1.0 +#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */ +#define VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */ +#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */ +#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */ +#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */ +#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */ +#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */ +#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */ +#define VSCALE_SWATER 250.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */ + +#define NXMAZE 7 /* width of maze */ +#define NYMAZE 7 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 3 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.04 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */ + +/* only for compatibility with wave_common.c */ +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ +#define OMEGA 0.005 /* frequency of periodic excitation */ +#define COURANT 0.08 /* Courant number */ +#define COURANTB 0.03 /* Courant number in medium B */ +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */ +#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ +#define FLUX_WINDOW 20 /* averaging window for energy flux */ +#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ +#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +#define DRAW_WAVE_PROFILE 1 /* set to 1 to draw a profile of the wave */ +/* end of constants added only for compatibility with wave_common.c */ + + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define Z_SCALING_FACTOR 150.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */ +#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */ + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 100.0 /* max value of wave amplitude */ +#define TEST_GRADIENT 0 /* print norm squared of gradient */ + +``` + +### 6 September 23 - Waves on a planet with a fractal archipelago ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** + +``` + init_circular_wave_sphere(0.25, 0.0, phi, psi, xy_in, wsphere); + add_circular_wave_sphere(-1.0, 0.25 + PI, 0.0, phi, psi, xy_in, wsphere); +``` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2000 /* number of grid points on x axis */ +#define NY 1000 /* number of grid points on y axis */ + +#define DPOLE 15 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 83 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 0.5 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 900.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {8.0, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.05 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */ + +``` + +### 5 September 23 - A rotating triangle in a granular medium: kinetic energy and direction ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 1280 /* window width */ +#define WINHEIGHT 720 /* window height */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.125 +#define YMAX 1.125 /* y interval for 9/16 aspect ratio */ + +#define INITXMIN -2.0 +#define INITXMAX 2.0 /* x interval for initial condition */ +#define INITYMIN -1.125 +#define INITYMAX 1.125 /* y interval for initial condition */ + +#define ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 21 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.015 /* parameter controlling radius of particles */ +#define MU_B 0.015 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 128 /* number of grid point for grid of disks */ +#define NGRIDY 64 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 250 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 13 +#define PLOT_B 14 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 60.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 280.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 2.7 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 4 September 23 - Simulation of an asteroid impact in the South Pacific Ocean, viewpoint moving east ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(2.6, -0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE -360.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 4.0, -3.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` + +### 2 September 23 - A rotating triangle in a granular medium ### + +**Program:** `lennardjones.c` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */ + /* so far incompatible with double movie */ +#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */ +#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */ + +#define SAVE_TIME_SERIES 0 /* set to 1 to save time series of particle positions */ + +/* General geometrical parameters */ + +#define WINWIDTH 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 ADDXMIN -1.97 +#define ADDXMAX -0.8 /* x interval for adding particles */ +#define ADDYMIN -1.125 +#define ADDYMAX 1.125 /* y interval for adding particles */ + + +#define BCXMIN -2.0 +#define BCXMAX 2.0 /* x interval for boundary condition */ +#define BCYMIN -1.125 +#define BCYMAX 1.125 /* y interval for boundary condition */ + +#define OBSXMIN -2.0 +#define OBSXMAX 2.0 /* x interval for motion of obstacle */ + +#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */ + +#define ADD_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */ +#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */ + +#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */ +#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */ + +#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */ +#define SEGMENT_PATTERN 21 /* pattern of repelling segments, see list in global_ljones.c */ +#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */ +#define ROCKET_SHAPE_B 3 /* shape of second rocket */ +#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */ +#define NOZZLE_SHAPE_B 6 /* shape of nozzle for second rocket, see list in global_ljones.c */ + +#define TWO_TYPES 0 /* set to 1 to have two types of particles */ +#define TYPE_PROPORTION 0.5 /* proportion of particles of first type */ +#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */ +#define CENTER_PX 0 /* set to 1 to center horizontal momentum */ +#define CENTER_PY 0 /* set to 1 to center vertical momentum */ +#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */ + +#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */ +#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */ +#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */ +#define SPIN_INTER_FREQUENCY_B 4.0 /* angular frequency of spin-spin interaction for second particle type */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define PDISC_DISTANCE 2.8 /* minimal distance in Poisson disc process, controls density of particles */ +#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */ +#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.015 /* parameter controlling radius of particles */ +#define MU_B 0.015 /* parameter controlling radius of particles of second type */ +#define NPOLY 3 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define AWEDGE 0.5 /* opening angle of wedge, in units of Pi/2 */ +#define MDEPTH 4 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 128 /* number of grid point for grid of disks */ +#define NGRIDY 64 /* number of grid point for grid of disks */ +#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */ +#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */ +#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */ +#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3600 /* number of frames of movie */ +#define NVID 30 /* number of iterations between images displayed on screen */ +#define NSEG 250 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define OBSTACLE_INITIAL_TIME 150 /* time after which to start moving obstacle */ +#define BOUNDARY_WIDTH 1 /* width of particle boundary */ +#define LINK_WIDTH 2 /* width of links between particles */ +#define CONTAINER_WIDTH 4 /* width of container boundary */ + +#define PAUSE 1000 /* number of frames after which to pause */ +#define PSLEEP 1 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ + +/* Boundary conditions, see list in global_ljones.c */ + +#define BOUNDARY_COND 3 + +/* Plot type, see list in global_ljones.c */ + +#define PLOT 11 +#define PLOT_B 15 /* plot type for second movie */ + +#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */ +#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */ +#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */ +#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */ +#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */ +#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */ +#define INITIAL_POS_TYPE 1 /* type of initial position dependence */ +#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */ +#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */ + +/* Color schemes */ + +#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */ +#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */ +#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */ +#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */ +#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */ + +#define BLACK 1 /* background */ + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 0.5 /* sensitivity of color on wave amplitude */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */ +#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */ + +#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */ +#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */ + +/* particle properties */ + +#define ENERGY_HUE_MIN 330.0 /* color of original particle */ +#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */ +#define PARTICLE_HUE_MIN 359.0 /* color of original particle */ +#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */ +#define PARTICLE_EMAX 10000.0 /* energy of particle with hottest color */ +#define HUE_TYPE0 60.0 /* hue of particles of type 0 */ +#define HUE_TYPE1 280.0 /* hue of particles of type 1 */ +#define HUE_TYPE2 140.0 /* hue of particles of type 2 */ +#define HUE_TYPE3 200.0 /* hue of particles of type 3 */ + +#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */ +#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */ +#define KREPEL 1.0 /* constant in repelling force between particles */ +#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */ +#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */ +#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */ +#define DAMPING 100.0 /* damping coefficient of particles */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */ +#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */ +#define PARTICLE_MASS 2.5 /* mass of particle of radius MU */ +#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */ +#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */ +#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */ +#define V_INITIAL 0.0 /* initial velocity range */ +#define OMEGA_INITIAL 10.0 /* initial angular velocity range */ +#define VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */ +#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */ + +#define THERMOSTAT 0 /* set to 1 to switch on thermostat */ +#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */ +#define SIGMA 5.0 /* noise intensity in thermostat */ +#define BETA 0.02 /* initial inverse temperature */ +#define MU_XI 0.01 /* friction constant in thermostat */ +#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */ +#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */ +#define NBH_DIST_FACTOR 2.7 /* radius in which to count neighbours */ +#define GRAVITY 0.0 /* gravity acting on all particles */ +#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */ +#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */ +#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */ +#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */ +#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */ +#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */ +#define KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */ +#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */ + +#define ROTATION 0 /* set to 1 to include rotation of particles */ +#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */ +#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */ +#define KTORQUE 50.0 /* force constant in angular dynamics */ +#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */ +#define KTORQUE_B 10.0 /* force constant in angular dynamics */ +#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */ +#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */ +#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */ +#define SPIN_RANGE 10.0 /* range of spin-spin interaction */ +#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */ +#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */ + +#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */ +#define BETA_FACTOR 0.02 /* factor by which to change BETA during simulation */ +#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */ +#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */ +#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */ +#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */ +#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */ + +#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */ +#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */ +#define COMPRESSION_RATIO 0.3 /* final size of container */ +#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */ +#define RESTORE_TIME 700 /* time before end of sim at which to restore size */ + +#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */ +#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */ +#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */ +#define NTRIALS 2000 /* number of trials when resampling */ +#define OBSTACLE_RADIUS 0.25 /* radius of obstacle for circle boundary conditions */ +#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */ +#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */ +#define OBSTACLE_XMAX 3.0 /* final position of obstacle */ +#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */ +#define N_PRESSURES 100 /* number of intervals to record pressure */ +#define N_P_AVERAGE 100 /* size of pressure averaging window */ +#define N_T_AVERAGE 1 /* size of temperature averaging window */ +#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */ +#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only some particles to thermostat */ +#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */ +#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */ +#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */ +#define PARTIAL_THERMO_HEIGHT 0.25 /* vertical size of partial thermostat coupling */ + +#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */ +#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */ + +#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */ +#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */ +#define NPART_BOTTOM 100 /* number of particles at the bottom */ + +#define ADD_PARTICLES 0 /* set to 1 to add particles */ +#define ADD_TIME 0 /* time at which to add first particle */ +#define ADD_PERIOD 10 /* time interval between adding further particles */ +#define N_ADD_PARTICLES 2 /* number of particles to add */ +#define FINAL_NOADD_PERIOD 0 /* final period where no particles are added */ +#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */ + +#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */ +#define N_TRACER_PARTICLES 3 /* number of tracer particles */ +#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */ +#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */ +#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */ + +#define ROTATE_BOUNDARY 1 /* set to 1 to rotate the repelling segments */ +#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */ +#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */ +#define ROTATE_INITIAL_TIME 300 /* initial time without rotation */ +#define ROTATE_FINAL_TIME 600 /* final time without rotation */ +#define ROTATE_CHANGE_TIME 0.5 /* relative duration of acceleration/deceleration phases */ +#define OMEGAMAX 8.0*PI /* maximal rotation speed */ +#define PRINT_ANGLE 1 /* set to 1 to print obstacle orientation */ +#define PRINT_OMEGA 1 /* set to 1 to print angular speed */ +#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */ +#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */ + +#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */ +#define SEGMENTS_MASS 40.0 /* mass of collection of segments */ +#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */ +#define SEGMENT_DEACTIVATION_TIME 20 /* time at which to deactivate last segment */ +#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */ +#define SEGMENTS_X0 1.5 /* initial position of segments */ +#define SEGMENTS_Y0 0.0 /* initial position of segments */ +#define SEGMENTS_VX0 0.0 /* initial velocity of segments */ +#define SEGMENTS_VY0 0.0 /* initial velocity of segments */ +#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */ + +#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */ +#define SEGMENT_GROUP_MASS 500.0 /* mass of segment group */ +#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */ +#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */ +#define GROUP_REPULSION 0 /* set to 1 for groups of segments to repel each other */ +#define KSPRING_GROUPS 5.0e11 /* harmonic potential between segment groups */ +#define GROUP_WIDTH 0.05 /* interaction width of groups */ +#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */ +#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */ +#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */ +#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */ + +#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */ +#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */ +#define POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */ +#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */ +#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */ + +#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */ +#define RD_REACTION 16 /* type of reaction, see list in global_ljones.c */ +#define RD_TYPES 5 /* number of types in reaction-diffusion equation */ +#define RD_INITIAL_COND 9 /* initial condition of particles */ +#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */ +#define REACTION_PROB 1.0 /* probability controlling reaction term */ +#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */ +#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */ +#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */ +#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */ +#define COLLISION_TIME 15 /* time during which collisions are shown */ + +#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */ +#define MU_RATIO 0.666666667 /* ratio by which to increase radius */ + +#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */ +#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */ +#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */ +#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */ +#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */ +#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */ +#define VMAX_PLOT_SPEEDS 0.25 /* vertical scale of plot of obstacle speeds */ + +#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */ + +#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */ +#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */ +#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */ +#define WALL_VMAX 100.0 /* max speed of wall */ +#define WALL_TIME 0 /* time during which to keep wall */ + +#define NXMAZE 12 /* width of maze */ +#define NYMAZE 12 /* height of maze */ +#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 4 /* seed of random number generator */ +#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.01 /* width of maze walls */ + +#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */ +#define FMAX 1.0e9 /* maximal force */ +#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */ +#define PMAX 1000.0 /* maximal force */ + +#define HASHX 120 /* size of hashgrid in x direction */ +#define HASHY 60 /* size of hashgrid in y direction */ +#define HASHMAX 100 /* maximal number of particles per hashgrid cell */ +#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */ + +#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ + +#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */ + +``` + +### 1 September 23 - Simulation of a meteor impact in the South Pacific Ocean, viewpoint moving west ### + +**Program:** `wave_sphere.c` + +**Initial condition in function `animation()`:** `init_circular_wave_sphere(2.6, -0.5, phi, psi, xy_in, wsphere);` + +``` +#define MOVIE 1 /* set to 1 to generate movie */ +#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */ +#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */ +#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */ + +/* General geometrical parameters */ + +#define WINWIDTH 1920 /* window width */ +#define WINHEIGHT 1150 /* window height */ +#define NX 2560 /* number of grid points on x axis */ +#define NY 1280 /* number of grid points on y axis */ + +#define DPOLE 20 /* safety distance to poles */ +#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */ + +#define XMIN -2.0 +#define XMAX 2.0 /* x interval */ +#define YMIN -1.041666667 +#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */ + +#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */ + +#define JULIA_SCALE 0.25 /* scaling for Julia sets */ +#define JULIA_RE -0.77145 +#define JULIA_IM -0.10295 /* parameters for Julia sets */ + +/* Choice of the billiard table */ + +#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */ + +#define CIRCLE_PATTERN 33 /* pattern of circles or polygons, see list in global_pdes.c */ + +#define COMPARISON 0 /* set to 1 to compare two different patterns */ +#define B_DOMAIN_B 20 /* second domain shape, for comparisons */ +#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */ + +#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */ +#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */ +#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */ +#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */ + +#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */ +#define NPOISSON 1000 /* number of points for Poisson C_RAND_POISSON arrangement */ +#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */ + +#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */ +#define MU 0.1 /* parameter controlling the dimensions of domain */ +#define NPOLY 6 /* number of sides of polygon */ +#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */ +#define MDEPTH 7 /* depth of computation of Menger gasket */ +#define MRATIO 3 /* ratio defining Menger gasket */ +#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */ +#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */ +#define FOCI 1 /* set to 1 to draw focal points of ellipse */ +#define NGRIDX 30 /* number of grid point for grid of disks */ +#define NGRIDY 18 /* number of grid point for grid of disks */ + +#define X_SHOOTER -0.2 +#define Y_SHOOTER -0.6 +#define X_TARGET 0.4 +#define Y_TARGET 0.7 /* shooter and target positions in laser fight */ + +#define ISO_XSHIFT_LEFT -2.9 +#define ISO_XSHIFT_RIGHT 1.4 +#define ISO_YSHIFT_LEFT -0.15 +#define ISO_YSHIFT_RIGHT -0.15 +#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */ + + +/* You can add more billiard tables by adapting the functions */ +/* xy_in_billiard and draw_billiard below */ + +/* Physical parameters of wave equation */ + +#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */ +#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */ +#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */ +#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */ + +#define OMEGA 0.001 /* frequency of periodic excitation */ +#define AMPLITUDE 0.8 /* amplitude of periodic excitation */ +#define ACHIRP 0.2 /* acceleration coefficient in chirp */ +#define DAMPING 0.0 /* damping of periodic excitation */ +#define COURANT 0.05 /* Courant number */ +#define COURANTB 0.01 /* Courant number in medium B */ +#define GAMMA 0.0 /* damping factor in wave equation */ +#define GAMMAB 1.0e-6 /* damping factor in wave equation */ +#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */ +#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */ +#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */ +#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */ +#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */ +#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */ +/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */ +/* The physical damping coefficient is given by GAMMA/(DT)^2 */ +/* Increasing COURANT speeds up the simulation, but decreases accuracy */ +/* For similar wave forms, COURANT^2*GAMMA should be kept constant */ + +#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */ +#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */ +#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */ + +#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */ +#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */ +#define N_WAVE_PACKETS 15 /* number of wave packets */ +#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */ + +/* Boundary conditions, see list in global_pdes.c */ + +#define B_COND 2 + +#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */ + +/* Parameters for length and speed of simulation */ + +#define NSTEPS 3000 /* number of frames of movie */ +#define NVID 4 /* number of iterations between images displayed on screen */ +#define NSEG 1000 /* number of segments of boundary */ +#define INITIAL_TIME 0 /* time after which to start saving frames */ +#define BOUNDARY_WIDTH 2 /* width of billiard boundary */ +#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */ + +#define PAUSE 100 /* number of frames after which to pause */ +#define PSLEEP 3 /* sleep time during pause */ +#define SLEEP1 1 /* initial sleeping time */ +#define SLEEP2 1 /* final sleeping time */ +#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */ +#define END_FRAMES 100 /* number of still frames at end of movie */ +#define FADE 1 /* set to 1 to fade at end of movie */ +#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */ + +/* Parameters of initial condition */ + +#define INITIAL_AMP 1.0 /* amplitude of initial condition */ +#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */ +#define INITIAL_WAVELENGTH 0.025 /* wavelength of initial condition */ + +/* Plot type, see list in global_pdes.c */ + +#define ZPLOT 103 /* wave height */ +#define CPLOT 103 /* color scheme */ + +#define ZPLOT_B 108 +#define CPLOT_B 108 /* plot type for second movie */ + +#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */ +#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */ +#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */ +#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */ +#define SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */ +#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */ +#define FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */ +#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */ +#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */ +#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */ +#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */ +#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */ + +#define PLOT_SCALE_ENERGY 0.4 /* vertical scaling in energy plot */ +#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */ + +/* 3D representation */ + +#define REPRESENTATION_3D 1 /* choice of 3D representation */ + +#define REP_AXO_3D 0 /* linear projection (axonometry) */ +#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */ + +#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */ +#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */ + +/* Color schemes */ + +#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */ +#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */ + +#define BLACK 1 /* background */ +#define COLOR_OUT_R 1.0 /* color outside domain */ +#define COLOR_OUT_G 1.0 +#define COLOR_OUT_B 1.0 + +#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */ + +#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */ +#define SLOPE 1.0 /* sensitivity of color on wave amplitude */ +#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */ +#define VSCALE_ENERGY 10.0 /* additional scaling factor for color scheme P_3D_ENERGY */ +#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */ +#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */ +#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */ +#define E_SCALE 100.0 /* scaling factor for energy representation */ +#define LOG_SCALE 0.75 /* scaling factor for energy log representation */ +#define LOG_SHIFT 0.5 /* shift of colors on log scale */ +#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */ +#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */ +#define FLUX_SCALE 600.0 /* scaling factor for energy flux representation */ +#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */ +#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */ + +#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */ +#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */ +#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */ +#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */ +#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */ +#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */ + +#define NXMAZE 8 /* width of maze */ +#define NYMAZE 32 /* height of maze */ +#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */ +#define RAND_SHIFT 5 /* seed of random number generator */ +#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */ +#define MAZE_WIDTH 0.02 /* half width of maze walls */ + +#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */ +#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */ +#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */ +#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */ +#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */ +#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */ + +#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */ +#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */ + +#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */ +#define POTENTIAL 10 +#define POT_FACT 20.0 +/* end of constants only used by sub_wave and sub_maze */ + + +/* For debugging purposes only */ +#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */ +#define VMAX 10.0 /* max value of wave amplitude */ + +/* Parameters controlling 3D projection */ + +double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */ +double v_3d[2] = {-0.75, -0.45}; +double w_3d[2] = {0.0, 0.015}; +P_3D_ANGLE color scheme */ +double light[3] = {-0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */ +double observer[3] = {-10.0, 4.0, -3.5}; /* location of observer for REP_PROJ_3D representation */ +int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */ + +#define RSCALE 0.01 /* scaling factor of radial component */ +#define RMAX 10.0 /* max value of radial component */ +#define Z_SCALING_FACTOR 0.85 /* overall scaling factor of z axis for REP_PROJ_3D representation */ +#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */ +#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */ +#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */ +#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */ +#define COS_VISIBLE -0.5 /* limit on cosine of normal to shown facets */ + +``` +