4496 lines
207 KiB
Markdown
4496 lines
207 KiB
Markdown
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### Parameter values for YouTube simulations ###
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Created by **Nils Berglund** and optimized by **Marco Mancini**
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C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
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Below are parameter values used for different simulations, as well as initial conditions used in
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function animation. Some simulations use variants of the published code. The list is going to be
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updated gradually.
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### 31 December 21 - Four waves in a nine-pointed star ###
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**Program:** `wave_billiard.c`
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**Initial condition in function `animation()`:**
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```
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init_circular_wave(0.0, 0.0, phi, psi, xy_in);
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for (i=0; i<3; i++)
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{
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add_circular_wave(-1.0, 0.6*cos(PID + (double)(i)*DPI/3.0), 0.6*sin(PID + (double)(i)*DPI/3.0), phi, psi, xy_in);
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}
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```
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1000 /* window height */
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#define NX 1920 /* number of grid points on x axis */
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#define NY 1000 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 42 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 20 /* pattern of circles or polygons, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 0.4 /* parameter controlling the dimensions of domain */
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#define NPOLY 18 /* 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 5 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 36 /* number of grid point for grid of disks */
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#define NGRIDY 6 /* number of grid point for grid of disks */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -2.9
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#define ISO_XSHIFT_RIGHT 1.4
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#define ISO_YSHIFT_LEFT -0.15
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#define ISO_YSHIFT_RIGHT -0.15
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#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard below */
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/* Physical parameters of wave equation */
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#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
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#define OMEGA 0.002 /* frequency of periodic excitation */
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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 0.01 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 1.0e-6 /* damping factor in wave equation */
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#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
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#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
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#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
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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 2
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/* Parameters for length and speed of simulation */
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#define NSTEPS 4250 /* number of frames of movie */
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#define NVID 40 /* 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 0 /* 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 200 /* number of frames after which to pause */
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#define PSLEEP 5 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 50 /* number of still frames at end of movie */
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/* Parameters of initial condition */
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#define INITIAL_AMP 0.75 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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#define PLOT 0
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#define PLOT_B 1 /* plot type for second movie */
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/* Color schemes */
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#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 3 /* 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 0.125 /* 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 150.0 /* scaling factor for energy representation */
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#define LOG_SCALE 2.5 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 16.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 24.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
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/* For debugging purposes only */
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#define FLOOR 0 /* 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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### 30 December 21 - Molecular Tetris: interface growth with anisotropic interaction ###
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**Program:** `lennardjones.c`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define INITXMIN -2.0
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#define INITXMAX 2.0 /* x interval for initial condition */
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#define INITYMIN -0.8
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#define INITYMAX 1.125 /* y interval for initial condition */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
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#define INTERACTION 2 /* particle interaction, see list in global_ljones.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 100 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define PDISC_DISTANCE 5.0 /* minimal distance in Poisson disc process, controls density of particles */
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#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
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#define MU 0.015 /* parameter controlling radius of particles */
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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 32 /* number of grid point for grid of disks */
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#define NGRIDY 26 /* number of grid point for grid of disks */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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/* Boundary conditions, see list in global_ljones.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 3850 /* number of frames of movie */
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#define NVID 250 /* number of iterations between images displayed on screen */
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#define NSEG 100 /* number of segments of boundary */
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#define INITIAL_TIME 0 /* 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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#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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/* Parameters of initial condition */
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/* Plot type, see list in global_ljones.c */
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#define PLOT 1
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#define PLOT_B 3 /* plot type for second movie */
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/* Color schemes */
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#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
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/* particle properties */
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#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
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#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
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#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
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#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
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#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
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#define INERTIA 1 /* set to 1 for taking inertia into account */
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#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
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#define KREPEL 1.0 /* constant in repelling force between particles */
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#define EQUILIBRIUM_DIST 3.5 /* Lennard-Jones equilibrium distance */
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#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
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#define DAMPING 1.5e5 /* damping coefficient of particles */
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#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
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#define V_INITIAL 5.0 /* initial velocity range */
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#define SIGMA 5.0 /* noise intensity in thermostat */
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#define BETA 5.0e-3 /* initial inverse temperature */
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#define MU_XI 0.1 /* friction constant in thermostat */
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#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
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#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
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#define GRAVITY 100.0 /* gravity acting on all particles */
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#define NPART_BOTTOM 100 /* number of particles at the bottom */
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#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
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#define BETA_FACTOR 2.0e2 /* factor by which to change BETA during simulation */
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#define N_TOSCILLATIONS 0.5 /* number of temperature oscillations in BETA schedule */
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#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
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#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
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#define ADD_PARTICLES 0 /* set to 1 to add particles */
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#define ADD_TIME 300 /* time at which to add first particle */
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#define ADD_PERIOD 2000 /* time interval between adding further particles */
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#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
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#define FMAX 2.0e10 /* maximal force */
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#define HASHX 32 /* size of hashgrid in x direction */
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#define HASHY 18 /* size of hashgrid in y direction */
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#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
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#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
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#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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/* 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 December 21 - Waves escaping a ring of triangular obstacles ###
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**Program:** `wave_billiard.c`
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**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
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```
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|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1000 /* window height */
|
||
|
|
|
||
|
|
#define NX 1920 /* number of grid points on x axis */
|
||
|
|
#define NY 1000 /* number of grid points on y axis */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.041666667
|
||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 20 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.04 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.002 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.04 /* Courant number */
|
||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* 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 2500 /* number of frames of movie */
|
||
|
|
#define NVID 15 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.5 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 4.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 28 December 21 - Let it snow: interface growth with molecular dynamics ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define INITXMIN -2.0
|
||
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
||
|
|
#define INITYMIN -0.8
|
||
|
|
#define INITYMAX 1.125 /* y interval for initial condition */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 5.0 /* minimal distance in Poisson disc process, controls density of particles */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3600 /* number of frames of movie */
|
||
|
|
#define NVID 250 /* 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 */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
||
|
|
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 1.0e-2 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
#define GRAVITY 300.0 /* gravity acting on all particles */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 1.0e1 /* factor by which to change BETA during simulation */
|
||
|
|
#define N_TOSCILLATIONS 0.25 /* number of temperature oscillations in BETA schedule */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define PART_AT_BOTTOM 1 /* set to 1 to include "seed" particles at bottom */
|
||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 1 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 50 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 7 /* time interval between adding further particles */
|
||
|
|
#define SAFETY_FACTOR 3.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 27 December 21 - Molecular dynamics with pentagonal symmetry, a representation with atomic bonds ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
// #define B_DOMAIN 20 /* choice of domain shape, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define INTERACTION 3 /* particle interaction, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 2.5 /* minimal distance in Poisson disc process, controls density of particles */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.02 /* parameter controlling radius of particles */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3600 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 3
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 20.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 5.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
#define N_TOSCILLATIONS 2.5 /* number of temperature oscillations in BETA schedule */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 26 December 21 - Wave protection comparison 12: Triangles pointing right vs randomly rotated triangles ###
|
||
|
|
|
||
|
|
**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 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1000 /* window height */
|
||
|
|
|
||
|
|
#define NX 1920 /* number of grid points on x axis */
|
||
|
|
#define NY 1000 /* number of grid points on y axis */
|
||
|
|
#define YMID 500 /* mid point of display */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.0729
|
||
|
|
#define YMAX 1.0729 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
#define B_DOMAIN_B 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_pdes.c */
|
||
|
|
#define CIRCLE_PATTERN_B 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 RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
#define RANDOM_POLY_ANGLE_B 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MUB 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define APOLY_B 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.0 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.02 /* Courant number */
|
||
|
|
#define COURANTB 0.004 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-8 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 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 150 /* time after which to start saving frames */
|
||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 4
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* 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 LOG_SCALE 1.5 /* scaling factor for energy log representation */
|
||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 100.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 5.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
### 25 December 21 - Mystery billiard 12 ###
|
||
|
|
|
||
|
|
**Program:** `mystery_billiard.c` (variant of `particle_billiard.c`)
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.0, -0.7, -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 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 7 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 30 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 1.8 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.01 /* second parameter controlling shape of billiard */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define DRAW_BILLIARD 0 /* 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 2000 /* 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 zoom on specific area */
|
||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
|
||
|
|
#define NSTEPS 4825 /* number of frames of movie */
|
||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.0000075 /* integration step */
|
||
|
|
#define NVID 250 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 16 /* 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 0.025 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 0 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
||
|
|
#define FINALFRAMES 100 /* number of still frames at the end */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 24 December 21 - Waves in a seven-pointed star ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1030 /* window height */
|
||
|
|
|
||
|
|
#define NX 1920 /* number of grid points on x axis */
|
||
|
|
#define NY 1030 /* number of grid points on y axis */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.0329
|
||
|
|
#define YMAX 1.1129 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 42 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.1 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.4 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 14 /* number of sides of polygon */
|
||
|
|
#define APOLY -1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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 0.04 /* Courant number */
|
||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* 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 2100 /* 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 3 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.5 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 6.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 23 December 21 - Freezing and melting at the molecular scale: A representation with atomic bonds ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 3.25 /* minimal distance in Poisson disc process, controls density of particles */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 5500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 3
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 100.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 5.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
#define N_TOSCILLATIONS 4.5 /* number of temperature oscillations in BETA schedule */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 December 21 - An attempt at growing a quasicrystal ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define INTERACTION 3 /* particle interaction, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 2.5 /* minimal distance in Poisson disc process, controls density of particles */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.02 /* parameter controlling radius of particles */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 4800 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 20.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 10.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 2.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 1.0e3 /* factor by which to change BETA during simulation */
|
||
|
|
#define N_TOSCILLATIONS 0.5 /* number of temperature oscillations in BETA schedule */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 21 December 21 - Trajectory of a single particle in an unilluminable room without right angles ###
|
||
|
|
|
||
|
|
**Program:** `particle_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:**
|
||
|
|
```
|
||
|
|
alphamax = 2.50949;
|
||
|
|
init_drop_config(x_shooter, y_shooter, alphamax, alphamax + DPI, configs);
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 6 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 30 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.0025 /* 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 SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
||
|
|
#define PRINT_COLLISION_NUMBER 1 /* set to 1 to print number of collisions */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
|
||
|
|
#define NSTEPS 9000 /* 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 300 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 32 /* 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 0.015 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 20 December 21 - Freezing and melting of particles with anisotropic Lennard-Jones interaction ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
// #define B_DOMAIN 20 /* choice of domain shape, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define INTERACTION 2 /* particle interaction, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 3.5 /* minimal distance in Poisson disc process */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.015 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2775 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 10.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 10.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 1.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 1.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
#define N_TOSCILLATIONS 2 /* number of temperature oscillations in BETA schedule */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 19 December 21 - Wave protection comparison 11: triangles on a triangular grid vs triangles on a square grid ###
|
||
|
|
|
||
|
|
**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 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1030 /* window height */
|
||
|
|
|
||
|
|
#define NX 1920 /* number of grid points on x axis */
|
||
|
|
#define NY 1030 /* number of grid points on y axis */
|
||
|
|
#define YMID 500 /* mid point of display */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.0729
|
||
|
|
#define YMAX 1.0729 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define B_DOMAIN 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
#define B_DOMAIN_B 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_pdes.c */
|
||
|
|
#define CIRCLE_PATTERN_B 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 RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MUB 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define APOLY_B 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.0 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.02 /* Courant number */
|
||
|
|
#define COURANTB 0.004 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-8 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2500 /* number of frames of movie */
|
||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 150 /* time after which to start saving frames */
|
||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 4
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* 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 LOG_SCALE 1.5 /* scaling factor for energy log representation */
|
||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -220.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 100.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 5.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 18 December 21 - Grain boundary dynamics under temperature cycling in a system with Lennard-Jones interaction ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define 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_ljones.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.015 /* parameter controlling 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
// #define NSTEPS 4000 /* number of frames of movie */
|
||
|
|
#define NSTEPS 6500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 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 LOG_SCALE 2.0 /* scaling factor for energy log 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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 100.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 5.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 5.0 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e18 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 17 December 21 - Video #300: Waves in a star-shaped domain ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** ``
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1920 /* window width */
|
||
|
|
#define WINHEIGHT 1080 /* window height */
|
||
|
|
|
||
|
|
#define NX 1920 /* number of grid points on x axis */
|
||
|
|
#define NY 1080 /* 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 42 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.025 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 128 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.33333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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 0.04 /* Courant number */
|
||
|
|
#define COURANTB 0.01 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* 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 3450 /* 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 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.5 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 6.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
### 16 December 21 - Waves in a unilluminable room without right angles ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(polyline[85].x, polyline[85].y, 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 36 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.33333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3750 /* 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 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
#define PLOT_B 5 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.5 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 6.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
### 15 December 21 - Inserting an atom in a crystal ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 720 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -1.125
|
||
|
|
#define XMAX 1.125 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define 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_ljones.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.025 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 1300 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 50.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 2.0e-1 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 1 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 14 December 21 - 6 out of phase waves in a von Koch snowflake fractal ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:**
|
||
|
|
|
||
|
|
```
|
||
|
|
init_circular_wave(0.7, 0.0, phi, psi, xy_in);
|
||
|
|
sign = 1.0;
|
||
|
|
for (i=1; i<6; i++)
|
||
|
|
{
|
||
|
|
sign = - sign;
|
||
|
|
add_circular_wave(sign, 0.7*cos((double)(2*i)*PI/6.0), 0.7*sin((double)(2*i)*PI/6.0), phi, psi, xy_in);
|
||
|
|
}
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 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 41 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.2 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.33333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 4500 /* 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 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
#define PLOT_B 4 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.25 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.0 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 10.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 13 December 21 - Spreading of an epidemic: A spatial SIR model ###
|
||
|
|
|
||
|
|
**Program:** `sir.c` (variant of `lennardjones.c`)
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
/* Choice of the billiard table */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define PDISC_DISTANCE 5.0 /* minimal distance in Poisson disc process */
|
||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.025 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 32 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 26 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
|
||
|
|
/* Plot type, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define PLOT 2
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 1 /* choice of color scheme, see list in global_ljones.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 5.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 100.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 3.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 10.0 /* initial velocity range */
|
||
|
|
#define SIGMA 10.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 3.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e6 /* confining harmonic potential outside simulation region */
|
||
|
|
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 5.0e2 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
||
|
|
#define ADD_TIME 300 /* time at which to add first particle */
|
||
|
|
#define ADD_PERIOD 2000 /* time interval between adding further particles */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e10 /* maximal force */
|
||
|
|
|
||
|
|
#define P_PROTECTED 0.5 /* probability of being protected */
|
||
|
|
#define CONTAMINATION_RADIUS 2.8 /* radius in which people can contiminate others */
|
||
|
|
#define P_INFECTION 0.1 /* probability of getting infected */
|
||
|
|
#define P_INFECTION_PROTECTED 0.01 /* probability of getting infected if protected */
|
||
|
|
#define INFECTION_CHANGE 0.2 /* time change of infection */
|
||
|
|
#define RECOVER_THRESHOLD 100.0 /* threshold for getting recovered */
|
||
|
|
|
||
|
|
#define HASHX 16 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 9 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
|
||
|
|
### 12 December 21 - Advent, advent... Average energy in a von Koch snowflake (log scale) ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard_vonKoch.c` (variant of `wave_billiard.c`)
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 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 41 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.2 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MAXDEPTH 5 /* max depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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-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 1070 /* 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 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 25 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 5
|
||
|
|
|
||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 150.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 6.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 11 December 21 - Temperature cycling: Lennard-Jones interacting particles with oscillating temperature ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 640 /* number of grid points on x axis */
|
||
|
|
#define NY 360 /* 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 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.03 /* parameter controlling 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
#define X_SHIFT -0.9 /* x range on which to apply OSCILLATE_TOPBOT */
|
||
|
|
|
||
|
|
#define OMEGA 0.00133333333 /* frequency of periodic excitation */
|
||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
||
|
|
#define KX_BC 10.0 /* spatial period of periodic excitation in x direction */
|
||
|
|
#define KY_BC 3.3333 /* 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 3.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 5.0e-4 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-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 5500 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.2 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.002 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#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 LOG_SCALE 2.0 /* scaling factor for energy log 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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.0e1 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 50.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 2.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 1.0e3 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e18 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 10 December 21 - A polygonal unilluminable room without right angles ###
|
||
|
|
|
||
|
|
**Program:** `particle_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_drop_config(x_shooter, y_shooter, 0.0, 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 -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 6 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 30 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.007 /* 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 10000 /* number of particles */
|
||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
||
|
|
#define PRINT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
|
||
|
|
#define NSTEPS 2500 /* number of frames of movie */
|
||
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.00001 /* integration step */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 16 /* 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 0.015 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 9 December 21 - Crystal formation in a Lennard-Jones interacting particle system with a thermostat ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 640 /* number of grid points on x axis */
|
||
|
|
#define NY 360 /* 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 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.03 /* parameter controlling 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
#define X_SHIFT -0.9 /* x range on which to apply OSCILLATE_TOPBOT */
|
||
|
|
|
||
|
|
#define OMEGA 0.00133333333 /* frequency of periodic excitation */
|
||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
||
|
|
#define KX_BC 10.0 /* spatial period of periodic excitation in x direction */
|
||
|
|
#define KY_BC 3.3333 /* 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 3.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 5.0e-4 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-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 4000 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.2 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.002 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#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 LOG_SCALE 2.0 /* scaling factor for energy log 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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 1.0e2 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
||
|
|
#define KREPEL 50.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0 /* initial velocity range */
|
||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
||
|
|
#define BETA 1.0e-3 /* initial inverse temperature */
|
||
|
|
#define MU_XI 0.1 /* friction constant in thermostat */
|
||
|
|
#define KSPRING_BOUNDARY 1.0e5 /* confining harmonic potential outside simulation region */
|
||
|
|
|
||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
||
|
|
#define BETA_FACTOR 1.0e5 /* factor by which to change BETA during simulation */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e18 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 8 December 21 - Heavily peated: wave starting off center in a von Koch snowflake, average energy on log scale ###
|
||
|
|
|
||
|
|
**Program:** `wave_billiard.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.6*cos(PI/6.0), 0.6*sin(PI/6.0), 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 41 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2500 /* 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 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 5
|
||
|
|
|
||
|
|
#define PLOT_B 4 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
||
|
|
#define LOG_SCALE 2.0 /* scaling factor for energy log 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 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 7 December 21 - A lighthouse beam in a mirrored heptagon ###
|
||
|
|
|
||
|
|
**Program:** `particle_trajectory.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:**
|
||
|
|
```
|
||
|
|
time = (double)i/(double)(NSTEPS-1);
|
||
|
|
x = 0.0;
|
||
|
|
y = 0.0;
|
||
|
|
alpha = (DPI/(double)NPOLY)*time;
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 5 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 9 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.005 /* second parameter controlling shape of billiard */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NPOLY 7 /* number of sides of polygon */
|
||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
||
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
||
|
|
|
||
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
||
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
||
|
|
|
||
|
|
/* Simulation parameters */
|
||
|
|
|
||
|
|
#define NPART 1 /* number of particles */
|
||
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
||
|
|
#define TRAJ_LENGTH 128 /* length of trajectory */
|
||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
||
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
#define PRINT_TRAJECTORY_LENGTH 0 /* set to 1 to print length of trajectory 0 */
|
||
|
|
|
||
|
|
#define NSTEPS 4000 /* number of frames of movie */
|
||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.00001 /* integration step */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 64 /* number of colors */
|
||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of frames at end of movie */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 6 December 21 - A crude model of seismic waves ###
|
||
|
|
|
||
|
|
**Program:** `wave_diffraction.c` (variant of `wave_billiard.c`)
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.98, phi, psi, xy_in);`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 2560 /* number of grid points on x axis */
|
||
|
|
#define NY 1440 /* 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 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.03 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 10 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 12 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 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-7 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 2800 /* number of frames of movie */
|
||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0001 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 2.0 /* sensitivity of color on wave amplitude */
|
||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
||
|
|
|
||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 1.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 5 December 21 - Grain boundary dynamics in a particle system with Lennard-Jones interaction of increasing strength ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 640 /* number of grid points on x axis */
|
||
|
|
#define NY 360 Crack dynamics in a particle system with Lennard-Jones interaction of increasing constant /* 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 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.02 /* parameter controlling 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
#define X_SHIFT -0.9 /* x range on which to apply OSCILLATE_TOPBOT */
|
||
|
|
|
||
|
|
#define OMEGA 0.00133333333 /* frequency of periodic excitation */
|
||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
||
|
|
#define KX_BC 10.0 /* spatial period of periodic excitation in x direction */
|
||
|
|
#define KY_BC 3.3333 /* 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 3.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 5.0e-4 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-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 3000 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.2 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.002 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 2.5e9 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-10 /* time step for particle displacement */
|
||
|
|
#define KREPEL 50.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 15.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 1.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 5.0e5 /* initial velocity range */
|
||
|
|
|
||
|
|
#define INCREASE_KREPEL 1 /* set to 1 to increase KREPEL during simulation */
|
||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e18 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 4 December 21 - A lighthouse beam in a Tokarsky room ###
|
||
|
|
|
||
|
|
**Program:** `particle_trajectory.c`
|
||
|
|
|
||
|
|
**Initial condition in function `animation()`:**
|
||
|
|
|
||
|
|
```
|
||
|
|
time = (double)i/(double)(NSTEPS-1);
|
||
|
|
x = - 0.95;
|
||
|
|
y = 0.0;
|
||
|
|
alpha = PID*(0.5 + time);
|
||
|
|
compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length);
|
||
|
|
```
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define XMIN -2.0
|
||
|
|
#define XMAX 2.0 /* x interval */
|
||
|
|
#define YMIN -1.125
|
||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
||
|
|
|
||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
||
|
|
|
||
|
|
/* Choice of the billiard table, see global_particles.c */
|
||
|
|
|
||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 5 /* pattern of circles */
|
||
|
|
#define POLYLINE_PATTERN 1 /* pattern of polyline */
|
||
|
|
|
||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
||
|
|
|
||
|
|
#define NMAXCIRCLES 10000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
||
|
|
#define NMAXPOLY 10000 /* total number of sides of polygonal line */
|
||
|
|
#define NCX 9 /* number of circles in x direction */
|
||
|
|
#define NCY 20 /* number of circles in y direction */
|
||
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
||
|
|
#define SDEPTH 4 /* Sierpinski gastket depth */
|
||
|
|
|
||
|
|
#define LAMBDA 1.0 /* parameter controlling shape of domain */
|
||
|
|
#define MU 0.005 /* 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 TRAJ_LENGTH 256 /* length of trajectory */
|
||
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
||
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
||
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
||
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
||
|
|
#define SHOWZOOM 1 /* set to 1 to show zoom on specific area */
|
||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
||
|
|
#define PRINT_TRAJECTORY_LENGTH 1 /* set to 1 to print length of trajectory 0 */
|
||
|
|
|
||
|
|
#define NSTEPS 13300 /* number of frames of movie */
|
||
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
||
|
|
#define DPHI 0.00001 /* integration step */
|
||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
||
|
|
|
||
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
||
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
||
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
||
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
||
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
||
|
|
|
||
|
|
/* Colors and other graphical parameters */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define NCOLORS 32 /* number of colors */
|
||
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
||
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
||
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
||
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
||
|
|
|
||
|
|
#define BLACK 1 /* set to 1 for black background */
|
||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1000 /* final sleeping time */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 3 December 21 - Crystalline defect propagation in a system of particles with Lennard-Jones interaction ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 0 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 640 /* number of grid points on x axis */
|
||
|
|
#define NY 360 /* 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 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.02 /* parameter controlling 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
#define X_SHIFT -0.9 /* x range on which to apply OSCILLATE_TOPBOT */
|
||
|
|
|
||
|
|
#define OMEGA 0.00133333333 /* frequency of periodic excitation */
|
||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
||
|
|
#define KX_BC 10.0 /* spatial period of periodic excitation in x direction */
|
||
|
|
#define KY_BC 3.3333 /* 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 3.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 5.0e-4 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-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 2000 /* number of frames of movie */
|
||
|
|
#define NVID 150 /* 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 END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.2 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.002 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX 30.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 1.0e9 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 2.0e-10 /* time step for particle displacement */
|
||
|
|
#define KREPEL 2.5e3 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 15.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DAMPING 2.5e5 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
#define V_INITIAL 0.0e2 /* initial velocity range */
|
||
|
|
|
||
|
|
#define FLOOR_FORCE 0 /* set to 1 to limit force on particle to FMAX */
|
||
|
|
#define FMAX 2.0e18 /* maximal force */
|
||
|
|
|
||
|
|
#define HASHX 32 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* 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 */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 2 December 21 - Wave protection comparison 10: Triangles pointing right vs triangles pointing left ###
|
||
|
|
|
||
|
|
**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 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
#define B_DOMAIN_B 40 /* choice of domain shape, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define CIRCLE_PATTERN 0 /* pattern of circles, see list in global_pdes.c */
|
||
|
|
#define CIRCLE_PATTERN_B 0 /* pattern of circles, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MUB 0.04665361 /* parameter controlling the dimensions of domain */
|
||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define APOLY_B 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
||
|
|
#define NGRIDX 20 /* number of grid point for grid of disks */
|
||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
|
||
|
|
#define OMEGA 0.0 /* frequency of periodic excitation */
|
||
|
|
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
|
||
|
|
#define COURANT 0.02 /* Courant number */
|
||
|
|
#define COURANTB 0.004 /* Courant number in medium B */
|
||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 1.0e-8 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-6 /* damping factor on boundary */
|
||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
||
|
|
|
||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define B_COND 3
|
||
|
|
|
||
|
|
/* Parameters for length and speed of simulation */
|
||
|
|
|
||
|
|
#define NSTEPS 3750 /* number of frames of movie */
|
||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 150 /* time after which to start saving frames */
|
||
|
|
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 1
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define BLACK 1 /* background */
|
||
|
|
|
||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
||
|
|
#define SLOPE 0.5 /* 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 */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 60.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 5.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|
||
|
|
### 1 December 21 - Crystal formation: particles interacting with a Lennard-Jones potential ###
|
||
|
|
|
||
|
|
**Program:** `lennardjones.c`
|
||
|
|
|
||
|
|
```
|
||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
||
|
|
|
||
|
|
/* General geometrical parameters */
|
||
|
|
|
||
|
|
#define WINWIDTH 1280 /* window width */
|
||
|
|
#define WINHEIGHT 720 /* window height */
|
||
|
|
|
||
|
|
#define NX 640 /* number of grid points on x axis */
|
||
|
|
#define NY 360 /* 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 340 /* number of points for Poisson C_RAND_POISSON arrangement */
|
||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
||
|
|
|
||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
||
|
|
#define MU 0.04 /* 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 */
|
||
|
|
|
||
|
|
#define X_SHOOTER -0.2
|
||
|
|
#define Y_SHOOTER -0.6
|
||
|
|
#define X_TARGET 0.4
|
||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
||
|
|
|
||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
||
|
|
|
||
|
|
/* You can add more billiard tables by adapting the functions */
|
||
|
|
/* xy_in_billiard and draw_billiard below */
|
||
|
|
|
||
|
|
/* Physical parameters of wave equation */
|
||
|
|
|
||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
||
|
|
#define X_SHIFT -0.9 /* x range on which to apply OSCILLATE_TOPBOT */
|
||
|
|
|
||
|
|
#define OMEGA 0.00133333333 /* frequency of periodic excitation */
|
||
|
|
#define K_BC 3.0 /* spatial period of periodic excitation in y direction */
|
||
|
|
#define KX_BC 10.0 /* spatial period of periodic excitation in x direction */
|
||
|
|
#define KY_BC 3.3333 /* 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 3.0e-6 /* damping factor in wave equation */
|
||
|
|
#define GAMMAB 5.0e-4 /* damping factor in wave equation */
|
||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
||
|
|
#define GAMMA_TOPBOT 1.0e-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 1000 /* number of frames of movie */
|
||
|
|
#define NVID 50 /* number of iterations between images displayed on screen */
|
||
|
|
#define NSEG 100 /* number of segments of boundary */
|
||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
||
|
|
|
||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
||
|
|
#define SLEEP2 1 /* final sleeping time */
|
||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
||
|
|
|
||
|
|
/* Parameters of initial condition */
|
||
|
|
|
||
|
|
#define INITIAL_AMP 0.2 /* amplitude of initial condition */
|
||
|
|
#define INITIAL_VARIANCE 0.002 /* variance of initial condition */
|
||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
||
|
|
|
||
|
|
/* Plot type, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#define PLOT 0
|
||
|
|
|
||
|
|
/* Color schemes */
|
||
|
|
|
||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
|
||
|
|
|
||
|
|
#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 */
|
||
|
|
|
||
|
|
/* particle properties */
|
||
|
|
|
||
|
|
#define PARTICLE_HUE_MIN 180.0 /* color of original particle */
|
||
|
|
#define PARTICLE_HUE_MAX -50.0 /* color of saturated particle */
|
||
|
|
#define PARTICLE_EMAX 1.0e12 /* max energy for particle to survive */
|
||
|
|
|
||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
||
|
|
#define MOVE_PARTICLES 1 /* set to 1 for mobile particles */
|
||
|
|
#define INERTIA 1 /* set to 1 for taking inertia into account */
|
||
|
|
#define DT_PARTICLE 0.0000000002 /* time step for particle displacement */
|
||
|
|
#define KSPRING 0.05 /* spring constant of particles */
|
||
|
|
#define KWAVE 4.0 /* constant in force due to wave gradient */
|
||
|
|
#define KREPEL 1.0 /* constant in repelling force between particles */
|
||
|
|
#define EQUILIBRIUM_DIST 2.0 /* Lennard-Jones equilibrium distance */
|
||
|
|
#define REPEL_RADIUS 4.0 /* radius in which repelling force acts (in units of particle radius) */
|
||
|
|
#define DXMAX 1000.0 /* max displacement of particle in one time step */
|
||
|
|
#define FMAX 1.0e12 /* maximal force */
|
||
|
|
#define L_DETACH 0.25 /* spring length beyond which particles detach */
|
||
|
|
#define DAMPING 0.00000 /* damping coefficient of particles */
|
||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
||
|
|
|
||
|
|
#define HASHX 16 /* size of hashgrid in x direction */
|
||
|
|
#define HASHY 9 /* size of hashgrid in y direction */
|
||
|
|
#define HASHMAX 10 /* maximal number of particles per hashgrid cell */
|
||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
||
|
|
|
||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
||
|
|
|
||
|
|
/* For debugging purposes only */
|
||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
||
|
|
|
||
|
|
```
|
||
|
|
|