3574 lines
164 KiB
Markdown
3574 lines
164 KiB
Markdown
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### 31 August 21 - A Sinai pinball with colored pegs ###
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**Program:** `particle_pinball.c` (variant of `particle_billiard.c`)
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**Initial condition in function `animation()`:** `init_drop_config(-1.4, 0.0, -0.5*PID, 0.5*PID, configs);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
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/* Choice of the billiard table, see global_particles.c */
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#define B_DOMAIN 21 /* choice of domain shape */
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#define CIRCLE_PATTERN 21 /* pattern of circles */
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#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
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#define NMAXCIRCLES 2000 /* total number of circles (must be at least NCX*NCY for square grid) */
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#define NCX 48 /* number of circles in x direction */
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#define NCY 28 /* number of circles in y direction */
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// #define NCX 52 /* number of circles in x direction */
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// #define NCY 30 /* number of circles in y direction */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define LAMBDA 1.68 /* parameter controlling shape of domain */
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#define MU 0.027 /* second parameter controlling shape of billiard */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
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#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
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#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define DEBUG 0 /* draw trajectories, for debugging purposes */
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/* Simulation parameters */
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#define NPART 1 /* number of particles */
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#define NPARTMAX 100000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
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#define NSTEPS 15000 /* number of frames of movie */
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#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00004 /* integration step */
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#define NVID 150 /* number of iterations between images displayed on screen */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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/* Colors and other graphical parameters */
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#define NCOLORS 64 /* number of colors */
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#define COLORSHIFT 0 /* hue of initial color */
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#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
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#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.045 /* length of velocity vectors */
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#define BILLIARD_WIDTH 2 /* width of billiard */
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#define PARTICLE_WIDTH 2 /* width of particles */
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#define FRONT_WIDTH 3 /* width of wave front */
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#define BLACK 1 /* set to 1 for black background */
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#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
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#define OUTER_COLOR 270.0 /* color outside billiard */
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#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
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#define ERASE_OUTSIDE 1 /* set to 1 to erase outside of rectangular billiard (beta) */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1000 /* final sleeping time */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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```
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### 30 August 21 - Erosion of a wave protection ###
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**Program:** `mangrove.c`
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**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define NX 1280 /* number of grid points on x axis */
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#define NY 720 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
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#define MU 0.03 /* parameter controlling the dimensions of domain */
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#define NPOLY 3 /* number of sides of polygon */
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#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 4 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 15 /* number of grid point for grid of disks */
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#define NGRIDY 20 /* number of grid point for grid of disks */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard below */
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/* Physical parameters of wave equation */
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#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
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#define X_SHIFT -0.8 /* x range on which to apply OSCILLATE_TOPBOT */
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#define OMEGA 0.002 /* frequency of periodic excitation */
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#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
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#define KX_BC 30.0 /* spatial period of periodic excitation in x direction */
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#define KY_BC 10.0 /* spatial period of periodic excitation in y direction */
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#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
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#define COURANT 0.02 /* Courant number */
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#define COURANTB 0.005 /* Courant number in medium B */
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#define GAMMA 2.0e-6 /* damping factor in wave equation */
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#define GAMMAB 1.0e-4 /* damping factor in wave equation */
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#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
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#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
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#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
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#define KAPPAB 1.0e-6 /* "elasticity" term enforcing oscillations */
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#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
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#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
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/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
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/* The physical damping coefficient is given by GAMMA/(DT)^2 */
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/* Increasing COURANT speeds up the simulation, but decreases accuracy */
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/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 3
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/* Parameters for length and speed of simulation */
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#define NSTEPS 6500 /* number of frames of movie */
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#define NVID 35 /* number of iterations between images displayed on screen */
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#define NSEG 100 /* number of segments of boundary */
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#define INITIAL_TIME 125 /* time after which to start saving frames */
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#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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/* Plot type, see list in global_pdes.c */
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#define PLOT 0
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/* Color schemes */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define E_SCALE 2500.0 /* scaling factor for energy representation */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
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/* mangrove colors */
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#define MANGROVE_HUE_MIN 180.0 /* color of original mangrove */
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#define MANGROVE_HUE_MAX 0.0 /* color of saturated mangrove */
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// #define MANGROVE_EMAX 5.0e-3 /* max energy for mangrove to survive */
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#define MANGROVE_EMAX 1.0e-3 /* max energy for mangrove to survive */
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/* For debugging purposes only */
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#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
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#define VMAX 10.0 /* max value of wave amplitude */
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```
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### 29 August 21 - Mixing in an ehrenfest-type pinball ###
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**Program:** `particle_pinball.c`
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**Initial condition in function `animation()`:** `init_double_drop_config(-1.25, 0.05, 0.0, DPI, configs);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
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/* Choice of the billiard table, see global_particles.c */
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#define B_DOMAIN 21 /* choice of domain shape */
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#define CIRCLE_PATTERN 1 /* pattern of circles */
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#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
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#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
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#define NCX 9 /* number of circles in x direction */
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#define NCY 20 /* number of circles in y direction */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define LAMBDA 1.8 /* parameter controlling shape of domain */
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#define MU 0.03 /* second parameter controlling shape of billiard */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
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#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
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#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
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#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
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#define DEBUG 0 /* draw trajectories, for debugging purposes */
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/* Simulation parameters */
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#define NPART 5000 /* number of particles */
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#define NPARTMAX 100000 /* maximal number of particles after resampling */
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#define LMAX 0.01 /* minimal segment length triggering resampling */
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#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
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#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
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#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
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#define NSTEPS 4500 /* number of frames of movie */
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#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
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#define DPHI 0.00001 /* integration step */
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#define NVID 150 /* number of iterations between images displayed on screen */
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/* Decreasing TIME accelerates the animation and the movie */
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/* For constant speed of movie, TIME*DPHI should be kept constant */
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/* However, increasing DPHI too much deterioriates quality of simulation */
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/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
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/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
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/* Colors and other graphical parameters */
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#define NCOLORS 2 /* number of colors */
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#define COLORSHIFT 10.0 /* hue of initial color */
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#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
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#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
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#define NSEG 100 /* number of segments of boundary */
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#define LENGTH 0.02 /* length of velocity vectors */
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#define BILLIARD_WIDTH 2 /* width of billiard */
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#define PARTICLE_WIDTH 3 /* width of particles */
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#define FRONT_WIDTH 3 /* width of wave front */
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#define BLACK 1 /* set to 1 for black background */
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#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
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#define OUTER_COLOR 270.0 /* color outside billiard */
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#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
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#define ERASE_OUTSIDE 1 /* set to 1 to erase outside of rectangular domain */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1000 /* final sleeping time */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 28 August 21 - Wave protection comparison 8: "Golden spiral" versus Poisson disc sampling with a step input ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat_comp(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 11 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 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 LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.004 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-8 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3200 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* 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 50.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 5.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 27 August 21 - A wave traveling between two parabolic antennas ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave(-LAMBDA, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
**In `init_wave()`:** `if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.2*exp(-dist2/0.00025)*cos(-sqrt(dist2)/0.005);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 19 /* 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 LAMBDA 1.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 26 August 21 - Illustrating the butterfly effect with a laser ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_pinball_angles.c` (variant of `particle_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `angle0 = 0.2 + 2.4815e-6, x0 = -1.1, y0 = -0.5625;`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 3 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 3 /* number of circles in x direction */
|
|||
|
|
#define NCY 8 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.11 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 1 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|||
|
|
#define TIME 4200 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 128 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
#define ERASE_OUTSIDE 0 /* set to 1 to erase outside of rectangular domain */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
#define LUM_ATTENUATION 0.0025 /* luminosity attenuation */
|
|||
|
|
|
|||
|
|
#include "global_particles.c"
|
|||
|
|
#include "sub_part_billiard.c"
|
|||
|
|
#include "sub_part_pinball.c"
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 25 August 21 - Wave protection comparison 7: “Golden spiral” versus Poisson disc sampling ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `int_planar_wave_comp(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 11 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 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 LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0035 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-5 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3250 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 24 August 21 - Comparison between 7 non-random and randomized pinballs ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_pinball.c` (variant of `particle_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.25, 0.05, -0.1, 0.1, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 3 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 15 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.03 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 500 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 10 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
#define ERASE_OUTSIDE 0 /* set to 1 to erase outside of rectangular domain */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 23 August 21 - A self-healing wave protection ###
|
|||
|
|
|
|||
|
|
**Program:** `mangrove.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
#define X_SHIFT -0.8 /* x range on which to apply OSCILLATE_TOPBOT */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0004 /* frequency of periodic excitation */
|
|||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define KX_BC 6.0 /* spatial period of periodic excitation in x direction */
|
|||
|
|
#define KY_BC 2.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.005 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 2.0e-6 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-4 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPAB 1.0e-6 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5800 /* number of frames of movie */
|
|||
|
|
#define NVID 35 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 125 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 */
|
|||
|
|
|
|||
|
|
/* mangrove colors */
|
|||
|
|
|
|||
|
|
#define MANGROVE_HUE_MIN 180.0 /* color of original mangrove */
|
|||
|
|
#define MANGROVE_HUE_MAX 0.0 /* color of saturated mangrove */
|
|||
|
|
#define MANGROVE_EMAX 5.0e-3 /* max energy for mangrove to survive */
|
|||
|
|
// #define MANGROVE_EMAX 1.0e-4 /* max energy for mangrove to survive */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 22 August 21 - Blue noise, baby’s got blue noise: A Poisson disc sampling wave protection ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#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 LAMBDA 0.85 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4000 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 21 August 21 - A Sinai pinball with infinite horizon ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.4, 0.0, -0.5*PID, 0.5*PID, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 21 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 30 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.7 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.028 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 1 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 11725 /* number of frames of movie */
|
|||
|
|
#define TIME 1400 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00004 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 256 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.045 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
#define ERASE_OUTSIDE 1 /* set to 1 to erase outside of rectangular billiard (beta) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 20 August 21 - A wave protection alternating square and triangular grids ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 12 /* 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 LAMBDA 0.85 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 19 August 21 - How a parabolic antenna works ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** ``
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 720 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -0.625
|
|||
|
|
#define XMAX 1.625 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 18 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 12 /* 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 LAMBDA 0.25 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 16 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 18 August 21 - An pinball Ehrenfest model ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.4, 0.0, -0.5*PID, 0.5*PID, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 21 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.8 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.04 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 1000 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 50 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 17 August 21 - Wave protection comparison 6: randomized square grid vs Sierpinski carpet ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.8
|
|||
|
|
#define XMAX 1.8 /* x interval */
|
|||
|
|
#define YMIN -1.0125
|
|||
|
|
#define YMAX 1.0125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 15 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 10 /* 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 LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.0346 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0035 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-5 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 16 August 21 - Long-wavelength waves gradually destroying a randomized square grid of obstacles ###
|
|||
|
|
|
|||
|
|
**Program:** `mangrove.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 2 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
#define X_SHIFT -0.8 /* x range on which to apply OSCILLATE_TOPBOT */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0004 /* frequency of periodic excitation */
|
|||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define KX_BC 6.0 /* spatial period of periodic excitation in x direction */
|
|||
|
|
#define KY_BC 2.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.005 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 5.0e-8 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-5 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3300 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 125 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 */
|
|||
|
|
|
|||
|
|
/* mangrove colors */
|
|||
|
|
|
|||
|
|
#define MANGROVE_HUE_MIN 180.0 /* color of original mangrove */
|
|||
|
|
#define MANGROVE_HUE_MAX 0.0 /* color of saturated mangrove */
|
|||
|
|
#define MANGROVE_EMAX 1.0e-3 /* max energy for mangrove to survive */
|
|||
|
|
// #define MANGROVE_EMAX 1.0e-4 /* max energy for mangrove to survive */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 15 August 21 - How permeable is a pinball? Particles shot at various arrangements of circles ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.25, 0.0, -0.1, 0.1, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 3 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 15 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.03 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 500 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 10 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 14 August 21 - A "golden spiral" wave protection ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.015, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 11 /* 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 LAMBDA 0.85 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 13 August 21 - Collapse of a triangle lattice wave protection under waves arriving at an angle ###
|
|||
|
|
|
|||
|
|
**Program:** `mangrove.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
#define X_SHIFT -0.8 /* x range on which to apply OSCILLATE_TOPBOT */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define KX_BC 30.0 /* spatial period of periodic excitation in x direction */
|
|||
|
|
#define KY_BC 10.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.00666 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 5.0e-8 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-5 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 6000 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 */
|
|||
|
|
|
|||
|
|
/* mangrove colors */
|
|||
|
|
|
|||
|
|
#define MANGROVE_HUE_MIN 180.0 /* color of original mangrove */
|
|||
|
|
#define MANGROVE_HUE_MAX 0.0 /* color of saturated mangrove */
|
|||
|
|
#define MANGROVE_EMAX 2.0e-3 /* max energy for mangrove to survive */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 12 August 21 - Let’s play (frictionless) pinball! ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-0.9, 0.0, 0.117, 1.0, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 21 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 3 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 9 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.04 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 1 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1150 /* number of frames of movie */
|
|||
|
|
#define TIME 4000 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 400 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.05 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 11 August 21 - Wave protection comparison 5: Triangular vs "golden mean" lattice ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.00, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN_A 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN_A 1 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 10 /* 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 LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.0035 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 6000 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 1500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 10 August 21 - Collapse of a "golden mean" wave protection under continuous incoming waves ###
|
|||
|
|
|
|||
|
|
**Program:** `mangrove.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 10 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define K_BC 0.0 /* spatial period of periodic excitation in y direction */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.015 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 5.0e-8 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-5 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5500 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 */
|
|||
|
|
|
|||
|
|
/* mangrove colors */
|
|||
|
|
|
|||
|
|
#define MANGROVE_HUE_MIN 180.0 /* color of original mangrove */
|
|||
|
|
#define MANGROVE_HUE_MAX 0.0 /* color of saturated mangrove */
|
|||
|
|
#define MANGROVE_EMAX 1.2e-3 /* max energy for mangrove to survive */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 9 August 21 - Comparison between a cloaking device and a simple refracting layer ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.00, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
**Parameters in function `init_planar_wave()`:** `if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.002*exp(-dist2/0.0005)*cos(-sqrt(dist2)/0.025);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -0.5
|
|||
|
|
#define XMAX 3.5 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN_A 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN_A 6 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 98 /* 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 LAMBDA 0.12 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.1 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.1 /* parameter controlling the dimensions of domain in lower panel */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 3 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 3 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0035 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 0.0 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 0.0 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 0
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1600 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 30 /* time after which to start saving frames */
|
|||
|
|
#define COMPUTE_ENERGIES 0 /* set to 1 to compute and print energies */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* 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 1.4 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 130.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -130.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 8 August 21 - Avoiding a laser in a hexagon with teleporting walls ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c` (to be published later on)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(x_shooter, y_shooter, 0.0, DPI, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.3
|
|||
|
|
#define XMAX 2.7 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 22 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 12 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 15 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of billiard */
|
|||
|
|
#define MU 0.015 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 5000 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 1 /* set to 1 to show a zoom (for laser in room of mirrors) */
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of non-absorbed particles */
|
|||
|
|
|
|||
|
|
#define NSTEPS 9500 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.000005 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 12 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 6 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 7 August 21 - Wave protection comparison 4: randomized square grid vs Poisson process ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `nit_planar_wave(XMIN + 0.01, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN_A 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN_A 2 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 4 /* 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 LAMBDA 0.85 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.9 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.01 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5500 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 6 August 21 - A wave protection based on the golden mean ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.01, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
/* setting NX to WINWIDTH and NY to WINHEIGHT increases resolution */
|
|||
|
|
/* but will multiply run time by 4 */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 10 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.9 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.01 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 2
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 5 August 21 - Reflecting stoppers won't protect you in a laser fight ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c` (to be published later on)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(x_shooter, y_shooter, 0.0, DPI, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 21 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 11 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 15 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of billiard */
|
|||
|
|
#define MU 0.015 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 8 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.25 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 5000 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 0 /* set to 1 to show a zoom (for laser in room of mirrors) */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1350 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.000005 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 32 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 6 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 4 August 21 - Refraction of a wave on a horizontal ellipse ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.01, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 6 /* 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 LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.005 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.9 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.0075 /* Courant number in medium B */
|
|||
|
|
#define COURANTB 0.01 /* Courant number */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 100 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 3 August 21 - Wave protection comparison 3: regular vs random square grid ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.01, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
/* setting NX to WINWIDTH and NY to WINHEIGHT increases resolution */
|
|||
|
|
/* but will multiply run time by 4 */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN_A 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN_A 0 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 2 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.9 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.01 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 2 August 21 - Avoiding a laser in a room of mirrors, long version with close-up and particle counter ###
|
|||
|
|
|
|||
|
|
**Program:** Variant of `particle_billiard.c` (to be published later on)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(x_shooter, y_shooter, 0.0, DPI, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.3
|
|||
|
|
#define XMAX 2.7 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 21 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 11 /* pattern of circles */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 1000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NCX 15 /* number of circles in x direction */
|
|||
|
|
#define NCY 20 /* number of circles in y direction */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of billiard */
|
|||
|
|
#define MU 0.015 /* second parameter controlling shape of billiard */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NPOLY 8 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.25 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 1 /* set to 1 to draw additional construction lines for billiard */
|
|||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|||
|
|
|
|||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|||
|
|
|
|||
|
|
/* Simulation parameters */
|
|||
|
|
|
|||
|
|
#define NPART 5000 /* number of particles */
|
|||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|||
|
|
#define SHOWZOOM 1 /* set to 1 to show a zoom (for laser in room of mirrors) */
|
|||
|
|
|
|||
|
|
#define NSTEPS 8000 /* number of frames of movie */
|
|||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.000005 /* integration step */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
|
|||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|||
|
|
|
|||
|
|
/* Colors and other graphical parameters */
|
|||
|
|
|
|||
|
|
#define NCOLORS 32 /* number of colors */
|
|||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|||
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define LENGTH 0.02 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 6 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 1 August 21 - A cloaking device, optimized version with longer wavelength ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.00, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
**Parameters in `init_planar_wave()`**:
|
|||
|
|
`if ((xy_in[i][j])||(TWOSPEEDS)) phi[i][j] = 0.01*exp(-dist2/0.05)*cos(-sqrt(dist2)/0.025);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 6 /* 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 LAMBDA 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.005 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* 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 OMEGA 0.9 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.01 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
|||
|
|
#define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 30 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### Unpublished - Continuously oscillating plane waves hitting a "golden mean" wave protection ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 10 /* 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 LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* 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-6 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5000 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* 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 2.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2500.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### Unpublished - Cloaking device comparison with longer wavelength ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_comparison.c` (variant of `wave_billiard.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_planar_wave(XMIN + 0.00, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1280 /* number of grid points on x axis */
|
|||
|
|
#define NY 720 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -0.5
|
|||
|
|
#define XMAX 3.5 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of top domain shape, see list in global_pdes.c */
|
|||
|
|
#define B_DOMAIN_B 20 /* choice of bottom domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 6 /* top pattern of circles, see list in global_pdes.c */
|
|||
|
|
#define CIRCLE_PATTERN_B 98 /* bottom 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 LAMBDA 0.12 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.1 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MUB 0.1 /* parameter controlling the dimensions of domain in bottom panel */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.0035 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 1.5 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.02 /* Courant number */
|
|||
|
|
// #define COURANT 0.01 /* Courant number */
|
|||
|
|
#define COURANTB 0.0075 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 0.0 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 0.0 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 0
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1600 /* number of frames of movie */
|
|||
|
|
#define NVID 20 /* number of iterations between images displayed on screen */
|
|||
|
|
// #define NVID 40 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 25 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
#define COMPUTE_ENERGIES 0 /* set to 1 to compute and print energies */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 1 /* 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 1.4 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 750.0 /* scaling factor for energy representation */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 130.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -130.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|