8217 lines
426 KiB
Markdown
8217 lines
426 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 July 22 - Energy of a sonic boom ###
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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_wave_flat(phi, psi, xy_in);
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if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == OSCILLATING_SOURCE_PERIOD - 1))
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{
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sign = -sign;
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period++;
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yshift = (double)period*a + (double)(period*period)*b;
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add_circular_wave(sign, -1.5 + yshift, 0.0, phi, psi, xy_in);
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speed = (a + 2.0*(double)(period)*b)/((double)(3*NVID*OSCILLATING_SOURCE_PERIOD));
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printf("v = %.3lg, c = %.3lg\n", speed, c);
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speed = speed/c;
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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 3840 /* number of grid points on x axis */
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#define NY 2000 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.4 /* parameter controlling the dimensions of domain */
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#define MU 0.2 /* parameter controlling the dimensions of domain */
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#define NPOLY 3 /* number of sides of polygon */
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#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 6 /* 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 OSCILLATION_SCHEDULE 2 /* oscillation schedule, see list in global_pdes.c */
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#define OMEGA 0.005 /* frequency of periodic excitation */
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#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
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#define DAMPING 0.0 /* damping of periodic excitation */
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#define COURANT 0.05 /* Courant number */
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#define COURANTB 0.015 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
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#define GAMMAB 0.0 /* 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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#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
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#define OSCILLATING_SOURCE_PERIOD 6 /* period of oscillating source */
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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 1250 /* number of frames of movie */
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#define NVID 20 /* number of iterations between images displayed on screen */
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#define NSEG 1000 /* 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 1 /* width of billiard boundary */
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#define PRINT_SPEED 1 /* print speed of moving source */
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#define PAUSE 200 /* number of frames after which to pause */
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#define PSLEEP 2 /* 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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#define FADE 1 /* set to 1 to fade 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 0.00005 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.004 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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#define PLOT 1
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// #define PLOT 1
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#define PLOT_B 4 /* plot type for second movie */
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/* Color schemes */
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#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 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 1.0 /* sensitivity of color on wave amplitude */
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#define PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
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#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define E_SCALE 50.0 /* scaling factor for energy representation */
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#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
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#define LOG_SHIFT 1.0 /* shift of colors on log scale */
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#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
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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 1.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 1.0 /* 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 July 22 - Bernoulli site percolation on a lattice of triangles ###
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**Program:** `percolation.c` (Constants not yet cleaned up)
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 0 /* 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 992 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 20
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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 COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* background */
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#define HUE_CLOSED 330.0 /* color hue of closed cells */
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#define HUE_OPEN 180.0 /* color hue of open (dry) cells */
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#define HUE_FLOODED 30.0 /* color hue of open flooded cells */
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#define HUE_GRAPH 300.0 /* color hue in graph of cluster size */
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#define PLOT_CLUSTER_SIZE 1 /* set to 1 to add a plot for the size of the percolation cluster */
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#define NSTEPS 1100 /* number of frames of movie */
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#define TEST_GRAPH 0 /* set to 1 to test graph connectivity matrix */
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/* Choice of the billiard table */
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#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
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#define MU 0.2 /* parameter controlling the dimensions of domain */
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#define NPOLY 3 /* number of sides of polygon */
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#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 6 /* 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 1 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OMEGA 0.001 /* frequency of periodic excitation */
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#define COURANT 0.05 /* Courant number */
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#define COURANTB 0.015 /* Courant number in medium B */
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/* Parameters for length and speed of simulation */
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#define NVID 25 /* number of iterations between images displayed on screen */
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#define NSEG 1000 /* number of segments of boundary */
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#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
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#define PRINT_SPEED 0 /* print speed of moving source */
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#define PAUSE 200 /* number of frames after which to pause */
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#define PSLEEP 2 /* 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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#define FADE 1 /* set to 1 to fade 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 0.00005 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.004 /* 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 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 1.0 /* sensitivity of color on wave amplitude */
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#define PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
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#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 29 July 22 - Simulating a dam break with Lennard-Jones particles 3: Number of neighbors ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -2.0
|
|||
|
|
#define INITXMAX -0.07 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.125
|
|||
|
|
#define INITYMAX 0.65 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -2.05
|
|||
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.125
|
|||
|
|
#define BCYMAX 1.25 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 12 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 2 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.0075 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 60 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 20 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 10 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 1
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 1 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 5.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 2000.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.01 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define MIDDLE_CONSTANT_PHASE 370 /* final phase in which temperature is constant */
|
|||
|
|
#define FINAL_DECREASE_PHASE 350 /* final phase in which temperature decreases */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1180 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 1000 /* time at which to deactivate last segment */
|
|||
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|||
|
|
#define SEGMENTS_X0 0.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 1.5 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|||
|
|
#define SEGMENTS_VY0 -4.0 /* initial velocity of segments */
|
|||
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 140 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 70 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 28 July 22 - A Fabry-Pérot interferometer ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 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 3840 /* number of grid points on x axis */
|
|||
|
|
#define NY 2000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 1 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define DAMPING 2.5e-5 /* damping of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.025 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 6 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1350 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 400 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.004 /* 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 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 27 July 22 - Simulating a dam break with Lennard-Jones particles 2: Direction of velocities ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -2.0
|
|||
|
|
#define INITXMAX -0.07 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.125
|
|||
|
|
#define INITYMAX 0.75 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -2.05
|
|||
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.125
|
|||
|
|
#define BCYMAX 1.25 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 12 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 2 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 60 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 20 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 10 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 8
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 1 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 10.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 2000.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.01 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define MIDDLE_CONSTANT_PHASE 370 /* final phase in which temperature is constant */
|
|||
|
|
#define FINAL_DECREASE_PHASE 350 /* final phase in which temperature decreases */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1180 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 500 /* time at which to deactivate last segment */
|
|||
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|||
|
|
#define SEGMENTS_X0 0.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 1.5 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|||
|
|
#define SEGMENTS_VY0 -4.0 /* initial velocity of segments */
|
|||
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 100 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 50 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 26 July 22 - Waves on a topological surface of genus 2: Logarithm of the energy ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(-0.5, -0.5, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 1000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 50 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.05 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 2.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 12 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 10
|
|||
|
|
|
|||
|
|
#define PRECOMPUTE_BC 1 /* set to 1 to compute neighbours for Laplacian in advance */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1700 /* number of frames of movie */
|
|||
|
|
#define NVID 6 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 105 /* wave height */
|
|||
|
|
#define CPLOT 105 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 3.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 14 /* 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 0.15 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 60.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 2000.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT -1.5 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR 0.5 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 500.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 500.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D -0.1 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 25 July 22 - Rocket nozzle comparison 2: Glas-shaped vs bell-shaped ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -3.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.6875
|
|||
|
|
#define YMAX 1.6875 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -1.75
|
|||
|
|
#define INITXMAX 1.75 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -0.85
|
|||
|
|
#define INITYMAX 1.5 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -3.1
|
|||
|
|
#define BCXMAX 3.1 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.6875
|
|||
|
|
#define BCYMAX 4.5 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 102 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 2 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.01 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1800 /* number of frames of movie */
|
|||
|
|
#define NVID 250 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 10 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 21
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 15.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|||
|
|
#define SEGMENTS_X0 1.2 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 0.0 /* initial position of segments */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 150 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 24 July 22 - Bernoulli site percolation on a honeycomb lattice ###
|
|||
|
|
|
|||
|
|
**Program:** `percolation.c` (Constants not yet cleaned up)
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 992 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 10
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define HUE_CLOSED 330.0 /* color hue of closed cells */
|
|||
|
|
#define HUE_OPEN 180.0 /* color hue of open (dry) cells */
|
|||
|
|
#define HUE_FLOODED 30.0 /* color hue of open flooded cells */
|
|||
|
|
#define HUE_GRAPH 300.0 /* color hue in graph of cluster size */
|
|||
|
|
|
|||
|
|
#define PLOT_CLUSTER_SIZE 1 /* set to 1 to add a plot for the size of the percolation cluster */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1270 /* number of frames of movie */
|
|||
|
|
|
|||
|
|
#define TEST_GRAPH 0 /* set to 1 to test graph connectivity matrix */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.015 /* Courant number in medium B */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.004 /* 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 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 23 July 22 - Simulating a dam break with Lennard-Jones particles ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -2.0
|
|||
|
|
#define INITXMAX -0.07 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.125
|
|||
|
|
#define INITYMAX 0.75 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -2.05
|
|||
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.125
|
|||
|
|
#define BCYMAX 1.25 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 12 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 2 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 60 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 20 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 10 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 1 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 10.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 2000.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.01 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define MIDDLE_CONSTANT_PHASE 370 /* final phase in which temperature is constant */
|
|||
|
|
#define FINAL_DECREASE_PHASE 350 /* final phase in which temperature decreases */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1180 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 500 /* time at which to deactivate last segment */
|
|||
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|||
|
|
#define SEGMENTS_X0 0.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 1.5 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|||
|
|
#define SEGMENTS_VY0 -4.0 /* initial velocity of segments */
|
|||
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 100 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 50 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 22 July 22 - Colliding 1D fermions rendered in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_fermion_state(-0.5, 0.5, 5.0, -5.0, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 500 /* number of grid points on x axis */
|
|||
|
|
#define NY 500 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.8
|
|||
|
|
#define XMAX 1.8 /* x interval */
|
|||
|
|
#define YMIN -1.8
|
|||
|
|
#define YMAX 1.8 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 6 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.00000002
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 500 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 32
|
|||
|
|
#define CPLOT_B 30
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 32 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 30.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {12.0, 0.0, 10.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 1.25 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 1.8 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.5 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 21 July 22 - Waves on a topological surface of genus 2, in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(-0.5, -0.5, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 1000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 50 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.05 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 2.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 12 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 10
|
|||
|
|
|
|||
|
|
#define PRECOMPUTE_BC 1 /* set to 1 to compute neighbours for Laplacian in advance */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2600 /* number of frames of movie */
|
|||
|
|
#define NVID 6 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 104
|
|||
|
|
#define CPLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 1 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 3.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 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 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 60.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 400.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define 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 30.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 20 July 22 - The Eagle has landed ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -3.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.6875
|
|||
|
|
#define YMAX 1.6875 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -0.65
|
|||
|
|
#define INITXMAX 0.65 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN 0.0
|
|||
|
|
#define INITYMAX 1.75 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -3.1
|
|||
|
|
#define BCXMAX 3.1 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.6875
|
|||
|
|
#define BCYMAX 4.5 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 101 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 2 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
// #define MU 0.015 /* parameter controlling radius of particles */
|
|||
|
|
#define MU 0.01 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|||
|
|
#define NVID 225 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 10 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 10 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 21
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.05 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 18.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.01 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define MIDDLE_CONSTANT_PHASE 370 /* final phase in which temperature is constant */
|
|||
|
|
#define FINAL_DECREASE_PHASE 350 /* final phase in which temperature decreases */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1180 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 100 /* time at which to deactivate last segment */
|
|||
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|||
|
|
#define SEGMENTS_X0 0.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 1.5 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|||
|
|
#define SEGMENTS_VY0 -4.0 /* initial velocity of segments */
|
|||
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 1 /* set to 1 to dampen segments when y coordinate is negative */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 150 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 19 July 22 - Colliding 1D fermions ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_fermion_state2(-0.5, 0.5, 5.0, -5.0, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 900 /* window width */
|
|||
|
|
#define WINHEIGHT 900 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 450 /* number of grid points on x axis */
|
|||
|
|
#define NY 450 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -2.0
|
|||
|
|
#define YMAX 2.0 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 5 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.00000005
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 650 /* number of frames of movie */
|
|||
|
|
#define NVID 250 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 30
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 30 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 5.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 50.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 18 July 22 - Bernoulli bond percolation on a square lattice ###
|
|||
|
|
|
|||
|
|
**Program:** `percolation.c` (Constants not yet cleaned up)
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 992 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
// #define B_COND 0
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define HUE_CLOSED 30.0 /* color hue of closed cells */
|
|||
|
|
#define HUE_OPEN 180.0 /* color hue of open (dry) cells */
|
|||
|
|
#define HUE_FLOODED 330.0 /* color hue of open flooded cells */
|
|||
|
|
|
|||
|
|
#define PLOT_CLUSTER_SIZE 1 /* set to 1 to add a plot for the size of the percolation cluster */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.015 /* Courant number in medium B */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 800 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.004 /* 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 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 17 July 22 - 3D representation of a sonic boom ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
init_wave_flat_mod(phi, psi, xy_in);
|
|||
|
|
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 1))
|
|||
|
|
{
|
|||
|
|
yshift = (double)period*a + (double)(period*period)*b;
|
|||
|
|
add_circular_wave_mod(sign, -1.5 + yshift, 0.0, phi, psi, xy_in);
|
|||
|
|
speed = 0.55*(a + 2.0*(double)(period)*b)/((double)(NVID*OSCILLATING_SOURCE_PERIOD));
|
|||
|
|
printf("v = %.3lg, c = %.3lg\n", speed, c);
|
|||
|
|
speed = speed/c;
|
|||
|
|
sign = -sign;
|
|||
|
|
period++;
|
|||
|
|
}
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 1000 /* number of grid points on y axis */
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.05 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 2.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 12 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 6 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 1 /* set to 1 to print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 3.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 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 0.15 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 5000.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 13.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 1000.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.01 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 16 July 22 - A very energetic quantum particle starting in a well of a periodic egg carton potential ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 14.0, 0.0, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 3 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.000000011
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1300 /* number of frames of movie */
|
|||
|
|
#define NVID 1100 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 32
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 32 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 5.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 15 July 22 - Rocket nozzle comparison: Straight vs bell-shaped ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -3.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.6875
|
|||
|
|
#define YMAX 1.6875 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -1.75
|
|||
|
|
#define INITXMAX 1.75 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -0.85
|
|||
|
|
#define INITYMAX 1.5 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -3.1
|
|||
|
|
#define BCXMAX 3.1 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.6875
|
|||
|
|
#define BCYMAX 4.5 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 102 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|||
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.01 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1800 /* number of frames of movie */
|
|||
|
|
#define NVID 250 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 10 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 21
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 15.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|||
|
|
#define SEGMENTS_X0 1.2 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 0.0 /* initial position of segments */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 150 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 14 July 22 - A sonic boom ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
init_circular_wave(-1.5, 0.0, phi, psi, xy_in);
|
|||
|
|
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == OSCILLATING_SOURCE_PERIOD - 1))
|
|||
|
|
{
|
|||
|
|
sign = -sign;
|
|||
|
|
period++;
|
|||
|
|
yshift = (double)period*a + (double)(period*period)*b;
|
|||
|
|
add_circular_wave(sign, -1.5 + yshift, 0.0, phi, psi, xy_in);
|
|||
|
|
speed = 0.5*(a + 2.0*(double)(period)*b)/((double)(NVID*OSCILLATING_SOURCE_PERIOD));
|
|||
|
|
printf("v = %.3lg, c = %.3lg\n", speed, c);
|
|||
|
|
speed = speed/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 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 3840 /* number of grid points on x axis */
|
|||
|
|
#define NY 2000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define DAMPING 2.5e-5 /* damping of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.0375 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 6 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 30 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 1 /* print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.004 /* 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 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 1.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 13 July 22 - A quite energetic quantum particle starting in a well of a periodic egg carton potential ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 7.0, -7.0, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 3 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.000000011
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|||
|
|
#define NVID 1100 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 32
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 32 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 18 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 5.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 12 July 22 - The Eagle has wings ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -3.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.6875
|
|||
|
|
#define YMAX 1.6875 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -0.5
|
|||
|
|
#define INITXMAX 0.5 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -0.85
|
|||
|
|
#define INITYMAX 1.5 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -3.1
|
|||
|
|
#define BCXMAX 3.1 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.6875
|
|||
|
|
#define BCYMAX 4.5 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 101 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|||
|
|
#define NVID 300 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 10 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 21
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 15.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 1750 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 75.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 250 /* time at which to deactivate last segment */
|
|||
|
|
#define SEGMENTS_X0 0.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 0.0 /* initial position of segments */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 150 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 11 July 22 - Percolation, on the occasion of Hugo Duminil-Copin’s Fields Medal ###
|
|||
|
|
|
|||
|
|
**Program:** `percolation.c` (the list of constant has not been cleaned up)
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 992 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 49 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.015 /* Courant number in medium B */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 0
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 120 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.004 /* 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 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.5 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 10 July 22 - A more energetic quantum particle starting in a well of a periodic egg carton potential ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 3.5, -3.5, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 3 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.00000001
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
// #define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1300 /* number of frames of movie */
|
|||
|
|
#define NVID 1200 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 32
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 32 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 5.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 9 July 22 - Rotating view of waves radiating from a von Koch snowflake fractal ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(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 1000 /* window height */
|
|||
|
|
#define NX 1400 /* number of grid points on x axis */
|
|||
|
|
#define NY 1400 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define XMIN -1.5
|
|||
|
|
#define XMAX 1.5 /* x interval */
|
|||
|
|
#define YMIN -1.5
|
|||
|
|
#define YMAX 1.5 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 41 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.05 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 2.0e-3 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2600 /* number of frames of movie */
|
|||
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 104 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 1.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 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 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 3.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 5000.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 350.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 350.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 15.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.15 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 8 July 22 - Trajectory length on log scale in approximate von Koch snowflake fractals ###
|
|||
|
|
|
|||
|
|
**Program:** `particle_trajectory_vonKoch.c` (variant of `particle_trajectory.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
```
|
|||
|
|
time = (double)i/(double)(NSTEPS-1);
|
|||
|
|
x = 0.0;
|
|||
|
|
y = 0.0;
|
|||
|
|
alpha = time*DPI*MAX_ANGLE/360.0;
|
|||
|
|
period = 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 -1.0
|
|||
|
|
#define XMAX 3.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table, see global_particles.c */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 6 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 4 /* pattern of polyline */
|
|||
|
|
|
|||
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|||
|
|
|
|||
|
|
#define NMAXCIRCLES 50000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|||
|
|
#define NMAXPOLY 50000 /* 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 7 /* Sierpinski gastket depth */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.8 /* parameter controlling shape of domain */
|
|||
|
|
#define MU 0.00001 /* 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 8000 /* 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 PRINT_TRAJECTORY_PERIOD 0 /* set to 1 to print period of trajectory 0 */
|
|||
|
|
#define DRAW_LENGTHS_PLOT 1 /* set to 1 to plot trajectory lengths */
|
|||
|
|
#define LENGTHS_LOG_SCALE 1 /* set to 1 to use log scale for plot of lengths */
|
|||
|
|
#define MAX_ANGLE 90.0 /* range of angles of trajectory */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* 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 16 /* 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 1 /* final sleeping time */
|
|||
|
|
#define END_FRAMES 100 /* number of frames at end of movie */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 7 July 22 - A quantum particle stating in a well of a periodic egg carton potential ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 1.5, 0.0, 0.1, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 3 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.00000001
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 1250 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 32
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 32 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 5.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 6 July 22 - Waves escaping concentric rings of randomly rotated triangles ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(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 1000 /* window height */
|
|||
|
|
#define NX 1400 /* number of grid points on x axis */
|
|||
|
|
#define NY 1400 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define XMIN -1.5
|
|||
|
|
#define XMAX 1.5 /* x interval */
|
|||
|
|
#define YMIN -1.5
|
|||
|
|
#define YMAX 1.5 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* 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 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 3 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.04 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-2 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2200 /* number of frames of movie */
|
|||
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 104 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 1.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 14 /* 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 VSCALE_AMPLITUDE 3.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 1000.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 5000.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 350.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 350.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 15.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.2 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 5 July 22 - Convection at constant temperature ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -1.9
|
|||
|
|
#define INITXMAX 1.9 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.0
|
|||
|
|
#define INITYMAX 0.95 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -2.0
|
|||
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.125
|
|||
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 11 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.0 /* 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 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.01 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 60 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 50 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 8
|
|||
|
|
#define PLOT_B 0 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.006 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 7.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 1000.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.002 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 1 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 2 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 5.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 0 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 1000 /* time at which to deactivate last segment */
|
|||
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 -0.75 /* initial position of segments */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 100 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 50 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 4 July 22 - Schrödinger’s equation in an ellipse (3D rotating view) ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, -7.5, 0.0, 0.15, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 2 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* 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 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.3 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.07 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.000000015
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2400 /* number of frames of movie */
|
|||
|
|
#define NVID 1200 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 720.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 30
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 30 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 0.5 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 20.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.01 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 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 */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.45 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 3 July 22 - Waves escaping a grid of triangles on concentric rigs ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(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 1000 /* window height */
|
|||
|
|
#define NX 1500 /* number of grid points on x axis */
|
|||
|
|
#define NY 1500 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define XMIN -1.5
|
|||
|
|
#define XMAX 1.5 /* x interval */
|
|||
|
|
#define YMIN -1.5
|
|||
|
|
#define YMAX 1.5 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* 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 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 0.025 /* 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 3 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.1 /* Courant number */
|
|||
|
|
#define COURANTB 0.04 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-2 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2160 /* number of frames of movie */
|
|||
|
|
#define NVID 7 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 3.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 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 0.25 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 3.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 500.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define 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 40.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 15.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.12 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.2 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 2 July 22 - Archimedes' principle with two different bodies ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -1.9
|
|||
|
|
#define INITXMAX 1.9 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.0
|
|||
|
|
#define INITYMAX 0.95 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -2.0
|
|||
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.125
|
|||
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|||
|
|
|
|||
|
|
#define OBSXMIN -2.0
|
|||
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|||
|
|
#define SEGMENT_PATTERN 11 /* pattern of repelling segments, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.7 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|||
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|||
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|||
|
|
|
|||
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 3.75 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.012 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.666666666 /* 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 46 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 24 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3600 /* number of frames of movie */
|
|||
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 150 /* time after which to start saving frames */
|
|||
|
|
#define OBSTACLE_INITIAL_TIME 50 /* time after which to start moving obstacle */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 2 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 2.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 4.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|||
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|||
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.01 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 1.0e11 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 6.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 500.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 1 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|||
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|||
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|||
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|||
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|||
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|||
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|||
|
|
|
|||
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|||
|
|
#define BETA_FACTOR 0.002 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|||
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|||
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|||
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|||
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|||
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|||
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|||
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|||
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|||
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|||
|
|
#define PARTIAL_THERMO_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|||
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|||
|
|
|
|||
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|||
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|||
|
|
|
|||
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|||
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|||
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|||
|
|
|
|||
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|||
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|||
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|||
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|||
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|||
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|||
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|||
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|||
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|||
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|||
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|||
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|||
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|||
|
|
|
|||
|
|
#define MOVE_BOUNDARY 1 /* set to 1 to move repelling segments, due to force from particles */
|
|||
|
|
#define SEGMENTS_MASS 5.0 /* mass of collection of segments */
|
|||
|
|
#define DEACTIVATE_SEGMENT 0 /* set to 1 to deactivate last segment after a certain time */
|
|||
|
|
#define SEGMENT_DEACTIVATION_TIME 1000 /* time at which to deactivate last segment */
|
|||
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|||
|
|
#define SEGMENTS_Y0 -0.75 /* initial position of segments */
|
|||
|
|
|
|||
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|||
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
|
|||
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|||
|
|
|
|||
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|||
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|||
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|||
|
|
|
|||
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
#define PRINT_LEFT 1 /* set to 1 to print certain parameters at the top left instead of right */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|||
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|||
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|||
|
|
#define WALL_TIME 500 /* time during which to keep wall */
|
|||
|
|
|
|||
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|||
|
|
#define FMAX 1.0e12 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 80 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 40 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 1 July 22 - Video #500 : An elliptical retrospective with Beethoven ###
|
|||
|
|
|
|||
|
|
**Part 1**
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(-0.5, 0.0, 0.2, 0.4, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
|
|||
|
|
#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 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 1 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 8 /* 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 1.4 /* 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 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 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 PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3850 /* 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 100 /* number of iterations between images displayed on screen */
|
|||
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|||
|
|
|
|||
|
|
/* 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 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 0.01 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 2**
|
|||
|
|
|
|||
|
|
**Program:** `particle_billiard.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.0, 0.0, 0.0, DPI, configs);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
|
|||
|
|
#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 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 1 /* choice of domain shape */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|||
|
|
#define POLYLINE_PATTERN 8 /* 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 1.4 /* 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 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 40000 /* 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 PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|||
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5250 /* number of frames of movie */
|
|||
|
|
#define TIME 750 /* time between movie frames, for fluidity of real-time simulation */
|
|||
|
|
#define DPHI 0.00001 /* integration step */
|
|||
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|||
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|||
|
|
|
|||
|
|
/* 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 0.005 /* length of velocity vectors */
|
|||
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|||
|
|
#define PARTICLE_WIDTH 3 /* width of particles */
|
|||
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* set to 1 for black background */
|
|||
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|||
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|||
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|||
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 3**
|
|||
|
|
|
|||
|
|
**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 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 1000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#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 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.3333333333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define DAMPING 2.5e-5 /* damping of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.0375 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|||
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|||
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|||
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|||
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|||
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|||
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|||
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|||
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 3
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2740 /* number of frames of movie */
|
|||
|
|
#define NVID 30 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
|
|||
|
|
#define PLOT_B 1 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 300.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 5.0 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 4**
|
|||
|
|
|
|||
|
|
**Program:** ``
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** ``
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 5**
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(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 1000 /* window height */
|
|||
|
|
#define NX 1800 /* number of grid points on x axis */
|
|||
|
|
#define NY 900 /* number of grid points on y axis */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 202 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 3 /* 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.025 /* 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 */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2275 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.01 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 104
|
|||
|
|
#define CPLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 1.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 14 /* 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 0.15 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 5.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 250.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.2 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT -0.5 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 5.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 15.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 40.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.5}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.01 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 6**
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(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 1000 /* window height */
|
|||
|
|
#define NX 1800 /* number of grid points on x axis */
|
|||
|
|
#define NY 900 /* number of grid points on y axis */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define XMIN -2.0
|
|||
|
|
#define XMAX 2.0 /* x interval */
|
|||
|
|
#define YMIN -1.041666667
|
|||
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 1 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 202 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|||
|
|
#define IOR 1 /* choice of index of refraction, see list in global_pdes.c */
|
|||
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 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 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 3 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 36 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 6 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|||
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|||
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 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 0.017 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.9 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.02 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-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 */
|
|||
|
|
|
|||
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|||
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1862 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.01 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 109
|
|||
|
|
#define CPLOT_B 109 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define FLOOR_ZCOORD 0 /* set to 1 to draw only facets with z not too negative */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|||
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.025 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 3.0 /* vertical scaling in log energy plot */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_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 0.15 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 2.5 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 500.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 2.0 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR -1000.0 /* floor value for log of (total) energy */
|
|||
|
|
#define LOG_MEAN_ENERGY_SHIFT 10.0 /* additional shift for log of mean energy */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 15.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 80.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.5}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.01 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 7**
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, -7.5, 0.0, 0.15, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 2 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* 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 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.07 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.00000002
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1612 /* number of frames of movie */
|
|||
|
|
#define NVID 850 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 30
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 30 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 0.5 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.075 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 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 */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.45 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
**Part 8**
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_coherent_state(0.0, 0.0, 4.5, -7.0, 0.15, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 600 /* number of grid points on x axis */
|
|||
|
|
#define NY 300 /* 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 5 /* choice of reaction term, see list in global_3d.c */
|
|||
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 2 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define ADD_POTENTIAL 1 /* set to 1 to add a potential (for Schrodiner equation) */
|
|||
|
|
#define POTENTIAL 4 /* type of potential, see list in global_3d.c */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* 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 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.4 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.07 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|||
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.000000013
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define K_HARMONIC 0.2 /* spring constant of harmonic potential */
|
|||
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|||
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|||
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|||
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|||
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|||
|
|
for numerical stability */
|
|||
|
|
|
|||
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|||
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|||
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|||
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1150 /* number of frames of movie */
|
|||
|
|
#define NVID 1200 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Visualisation */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|||
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define CPLOT 30
|
|||
|
|
#define CPLOT_B 31
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define ZPLOT 30 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 30 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|||
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|||
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|||
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|||
|
|
#define ADD_POT_CONSTANT 1.0 /* constant in front of added potential */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|||
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|||
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|||
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|||
|
|
|
|||
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|||
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|||
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|||
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|||
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|||
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|||
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|||
|
|
|
|||
|
|
/* 3D representation */
|
|||
|
|
|
|||
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|||
|
|
|
|||
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|||
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|||
|
|
|
|||
|
|
/* Color schemes, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* black background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 20.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
#define SLOPE_SCHROD_LUM 15.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|||
|
|
#define MIN_SCHROD_LUM 0.075 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 6.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* only for compatibility with wave_common.c */
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|||
|
|
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {8.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.75 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.45 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.5 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 2.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|