6529 lines
328 KiB
Markdown
6529 lines
328 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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### 30 April 22 - Colliding spirals in the Rock-Paper-Scissors equation 3: norm and direction of gradient ###
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**Program:** `rde.c`
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**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1000 /* window height */
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#define NX 1920 /* number of grid points on x axis */
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#define NY 1000 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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/* Choice of simulated equation */
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#define RDE_EQUATION 4 /* choice of reaction term, see list in global_3d.c */
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#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
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#define NLAPLACIANS 3 /* number of fields for which to compute Laplacian */
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#define JULIA_SCALE 0.5 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
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#define MU 0.8 /* parameter controlling the dimensions of domain */
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#define NPOLY 6 /* number of sides of polygon */
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#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 5 /* depth of computation of Menger gasket */
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#define MRATIO 5 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 15 /* number of grid point for grid of disks */
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#define NGRIDY 20 /* number of grid point for grid of disks */
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#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 -1.65
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#define ISO_XSHIFT_RIGHT 0.4
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#define ISO_YSHIFT_LEFT -0.05
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#define ISO_YSHIFT_RIGHT -0.05
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#define ISO_SCALE 0.85 /* 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 in sub_wave.c */
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/* Physical patameters of wave equation */
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#define DT 0.0000005
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#define VISCOSITY 0.05
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#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
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#define EPSILON 0.8 /* time scale separation */
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#define DELTA 0.1 /* time scale separation */
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#define FHNA 1.0 /* parameter in FHN equation */
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#define FHNC -0.01 /* parameter in FHN equation */
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#define BZQ 0.0008 /* parameter in BZ equation */
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#define BZF 1.2 /* parameter in BZ equation */
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#define T_OUT 2.0 /* outside temperature */
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#define T_IN 0.0 /* inside temperature */
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#define SPEED 0.0 /* speed of drift to the right */
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#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
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#define NOISE_INTENSITY 0.1 /* noise intensity */
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#define CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */
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#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
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#define VISCOSITY_INITIAL_TIME 25 /* initial time during which viscosity remains constant */
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#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
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#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
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for numerical stability */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 1
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/* Parameters for length and speed of simulation */
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#define NSTEPS 3500 /* number of frames of movie */
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#define NVID 5 /* number of iterations between images displayed on screen */
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#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
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#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
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#define MAX_DT 0.024 /* maximal value of integration step */
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#define NSEG 100 /* number of segments of boundary */
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#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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#define PAUSE 100 /* number of frames after which to pause */
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#define PSLEEP 2 /* sleep time during pause */
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#define SLEEP1 2 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define INITIAL_TIME 0 /* initial still time */
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#define MID_FRAMES 50 /* 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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#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
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/* Plot type - color scheme */
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#define CPLOT 23
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#define CPLOT_B 231
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/* Plot type - height of 3D plot */
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#define ZPLOT 22 /* z coordinate in 3D plot */
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#define ZPLOT_B 25 /* z coordinate in second 3D plot */
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#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
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#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
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#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
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#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
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#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
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#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
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#define PRINT_TIME 0 /* set to 1 to print running time */
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#define PRINT_VISCOSITY 1 /* set to 1 to print viscosity */
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#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
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#define FIELD_LINE_WIDTH 1 /* width of field lines */
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#define N_FIELD_LINES 120 /* number of field lines */
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#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
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/* 3D representation */
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#define REPRESENTATION_3D 1 /* choice of 3D representation */
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#define REP_AXO_3D 0 /* linear projection (axonometry) */
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#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
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/* Color schemes, see list in global_pdes.c */
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#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* black background */
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#define COLOR_SCHEME 4 /* choice of color scheme */
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#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 7.5 /* sensitivity of color on wave amplitude */
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#define VSCALE_AMPLITUDE 1.75 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
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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 359.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define E_SCALE 100.0 /* scaling factor for energy representation */
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#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
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#define LOG_SHIFT 0.0
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#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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/* only for compatibility with wave_common.c */
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#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OMEGA 0.005 /* frequency of periodic excitation */
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#define COURANT 0.08 /* Courant number */
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#define COURANTB 0.03 /* Courant number in medium B */
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#define INITIAL_AMP 0.5 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
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#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
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#define PHASE_FACTOR 20.0 /* 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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/* end of constants added only for compatibility with wave_common.c */
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double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
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double v_3d[2] = {-0.75, -0.45};
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double w_3d[2] = {0.0, 0.015};
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double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
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double observer[3] = {3.0, 7.0, 7.5}; /* location of observer for REP_PROJ_3D representation */
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#define Z_SCALING_FACTOR 0.035 /* overall scaling factor of z axis for REP_PROJ_3D representation */
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#define XY_SCALING_FACTOR 1.7 /* overall scaling factor for on-screen (x,y) coordinates after projection */
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#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
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#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
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#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
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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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### 29 April 22 - Young’s double-slit experiment with waves, log of energy and cumulative energy ###
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**Program:** `wave_3d.c`
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**Initial condition in function `animation()`:** `init_circular_wave_mod(-1.0, 0.0, phi, psi, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1000 /* window height */
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#define NX 1920 /* number of grid points on x axis */
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#define NY 1000 /* number of grid points on y axis */
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#define XMIN -1.5
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#define XMAX 2.5 /* 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 0.8 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 9 /* 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 0.04 /* parameter controlling the dimensions of domain */
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#define NPOLY 40 /* number of sides of polygon */
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#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 3 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 36 /* number of grid point for grid of disks */
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#define NGRIDY 6 /* number of grid point for grid of disks */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -2.9
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#define ISO_XSHIFT_RIGHT 1.4
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#define ISO_YSHIFT_LEFT -0.15
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#define ISO_YSHIFT_RIGHT -0.15
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#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard below */
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/* Physical parameters of wave equation */
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#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
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#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
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#define OMEGA 0.005 /* frequency of periodic excitation */
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#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
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#define COURANT 0.08 /* Courant number */
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#define COURANTB 0.02 /* Courant number in medium B */
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#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-1 /* 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 1100 /* number of frames of movie */
|
|||
|
|
#define NVID 14 /* 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 3 /* 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 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* 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 107
|
|||
|
|
#define CPLOT_B 107 /* 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 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 FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 0.8 /* 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 */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 13 /* 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 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 400.0 /* 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 1000.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 3.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT -1.5 /* shift of colors on log scale */
|
|||
|
|
#define LOG_ENERGY_FLOOR 1.8 /* floor value for log of (total) 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 10.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.05 /* 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 -0.15 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.2 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 28 April 22 - An hourglass 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 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 3 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1000 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -1.125
|
|||
|
|
#define XMAX 1.125 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -0.6
|
|||
|
|
#define INITXMAX 0.6 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN 0.7
|
|||
|
|
#define INITYMAX 1.0 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -0.9
|
|||
|
|
#define BCXMAX 0.9 /* x interval for boundary condition */
|
|||
|
|
#define BCYMIN -1.1
|
|||
|
|
#define BCYMAX 1.1 /* 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 2 /* 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 2 /* 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 0.8 /* 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 2.75 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.013 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1200 /* number of frames of movie */
|
|||
|
|
#define NVID 550 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 100 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define 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 135.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 5.0e-7 /* 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 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.01 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e9 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 10000.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_INITIAL_TIME 500 /* time at start of simulation with constant gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 1000 /* 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 50.0 /* 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 20.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 30 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 30 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
|
|||
|
|
### 27 April 22 - 3D waves in a star-shaped domain with log energy plot ###
|
|||
|
|
|
|||
|
|
**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 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 42 /* 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 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.05 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 40 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 */// #define OSCILLATING_SOURCE_PERIOD 14 /* 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 2100 /* number of frames of movie */
|
|||
|
|
#define NVID 15 /* 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 3 /* 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 50 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 105
|
|||
|
|
#define CPLOT_B 105 /* 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 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 FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
#define PLOT_SCALE_LOG_ENERGY 0.6 /* 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 */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* 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 VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 300.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 2.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.2 /* 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 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 3.5 /* 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 */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.025 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.0 /* 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 -0.15 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D -0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 26 April 22 - Colliding spirals in the Rock-Paper-Scissors equation 2: norms of gradient and vorticity ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.4, 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 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 4 /* choice of reaction term, see list below */
|
|||
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 3 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define E_HEAT 0 /* heat equation */
|
|||
|
|
#define E_ALLEN_CAHN 1 /* Allen-Cahn equation */
|
|||
|
|
#define E_CAHN_HILLIARD 2 /* Cahn-Hilliard equation */
|
|||
|
|
#define E_FHN 3 /* FitzHugh-Nagumo equation */
|
|||
|
|
#define E_RPS 4 /* rock-paper-scissors equation */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.0000005
|
|||
|
|
|
|||
|
|
#define VISCOSITY 0.05
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
// #define BZF 0.667 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 25 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 150.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3200 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 5 /* initial still time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define PLOT 23
|
|||
|
|
|
|||
|
|
#define PLOT_B 25 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
|
|||
|
|
#define P_RGB 20 /* RGB plot */
|
|||
|
|
#define P_POLAR 21 /* polar angle associated with RBG plot */
|
|||
|
|
#define P_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define P_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define P_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ZPLOT 23 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 22 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define Z_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
#define Z_NORM_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define Z_NORM_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define Z_NORM_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define Z_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#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 1 /* set to 1 to print v */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* 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 11 /* 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 1.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 2.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000002 /* 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 COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
|
|||
|
|
#define 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 */
|
|||
|
|
|
|||
|
|
/* 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 P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
/* 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] = {3.0, 7.0, 7.5}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.3 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 1.7 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define COMPUTE_THETA ((plot == P_POLAR)||(plot == P_GRADIENT)||(plot == P_GRADIENTX)||(plot == P_GRADIENT_INTENSITY)||(plot == P_VORTICITY))
|
|||
|
|
#define COMPUTE_THETAZ ((zplot == P_POLAR)||(zplot == P_GRADIENT)||(zplot == P_GRADIENTX)||(zplot == P_GRADIENT_INTENSITY)||(zplot == P_VORTICITY))
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 25 April 22 - A heptagonal parabolic resonator ###
|
|||
|
|
|
|||
|
|
**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 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 32 /* 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 0.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 7 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 2500 /* number of frames of movie */
|
|||
|
|
#define NVID 12 /* 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 3 /* 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 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 0 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 103 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 105
|
|||
|
|
#define CPLOT_B 105 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define P_3D_PHASE 111 /* phase of wave */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 300.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 3.5 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 15.0 /* 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.02 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.0 /* 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 -0.15 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 24 April 22 - Vorticity of colliding spirals in 3D in the Rock-Paper-Scissors reaction-diffusion equation ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 4 /* choice of reaction term, see list below */
|
|||
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 3 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define E_HEAT 0 /* heat equation */
|
|||
|
|
#define E_ALLEN_CAHN 1 /* Allen-Cahn equation */
|
|||
|
|
#define E_CAHN_HILLIARD 2 /* Cahn-Hilliard equation */
|
|||
|
|
#define E_FHN 3 /* FitzHugh-Nagumo equation */
|
|||
|
|
#define E_RPS 4 /* rock-paper-scissors equation */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.0000005
|
|||
|
|
|
|||
|
|
#define VISCOSITY 0.05
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 25 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 150.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3000 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 5 /* initial still time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define PLOT 25
|
|||
|
|
|
|||
|
|
#define PLOT_B 25 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
|
|||
|
|
#define P_RGB 20 /* RGB plot */
|
|||
|
|
#define P_POLAR 21 /* polar angle associated with RBG plot */
|
|||
|
|
#define P_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define P_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define P_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ZPLOT 25 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 0 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define Z_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
#define Z_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#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 1 /* set to 1 to print v */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* 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 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 1.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* 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 0.000002 /* 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 COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
|
|||
|
|
#define 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 */
|
|||
|
|
|
|||
|
|
/* 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 P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
/* 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] = {3.0, 7.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.25 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 1.7 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define COMPUTE_THETA ((plot == P_POLAR)||(plot == P_GRADIENT)||(plot == P_GRADIENTX)||(plot == P_GRADIENT_INTENSITY)||(plot == P_VORTICITY))
|
|||
|
|
|
|||
|
|
/* 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 April 22 - Young’s double-slit experiment with waves: Phase representation in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_mod(-1.0, 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 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 9 /* 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 0.05 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 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 1400 /* number of frames of movie */
|
|||
|
|
#define NVID 8 /* 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 3 /* 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 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 0 /* 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 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.02 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define ZPLOT 103 /* wave height */
|
|||
|
|
#define CPLOT 111 /* color scheme */
|
|||
|
|
|
|||
|
|
#define ZPLOT_B 103
|
|||
|
|
#define CPLOT_B 111 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define P_3D_PHASE 111 /* phase of wave */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 300.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 5.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 15.0 /* 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* 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 0.5 /* 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 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 22 April 22 - Bed of roses: Spiral energy in the Rock-Paper-Scissors reaction-diffusion equation ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 4 /* choice of reaction term, see list below */
|
|||
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 3 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define E_HEAT 0 /* heat equation */
|
|||
|
|
#define E_ALLEN_CAHN 1 /* Allen-Cahn equation */
|
|||
|
|
#define E_CAHN_HILLIARD 2 /* Cahn-Hilliard equation */
|
|||
|
|
#define E_FHN 3 /* FitzHugh-Nagumo equation */
|
|||
|
|
#define E_RPS 4 /* rock-paper-scissors equation */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.0000005
|
|||
|
|
|
|||
|
|
#define VISCOSITY 2.0
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 25 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 150.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* 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 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type - color scheme */
|
|||
|
|
|
|||
|
|
#define PLOT 23
|
|||
|
|
|
|||
|
|
#define PLOT_B 25 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
|
|||
|
|
#define P_RGB 20 /* RGB plot */
|
|||
|
|
#define P_POLAR 21 /* polar angle associated with RBG plot */
|
|||
|
|
#define P_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define P_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define P_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
/* Plot type - height of 3D plot */
|
|||
|
|
|
|||
|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define ZPLOT 23 /* z coordinate in 3D plot */
|
|||
|
|
#define ZPLOT_B 22 /* z coordinate in second 3D plot */
|
|||
|
|
|
|||
|
|
#define Z_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
#define Z_NORM_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define Z_NORM_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define Z_NORM_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define Z_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#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 v */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* 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 11 /* 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 1.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.75 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.000002 /* 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 COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
|
|||
|
|
#define 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 */
|
|||
|
|
|
|||
|
|
/* 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 P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
/* 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] = {3.0, 7.0, 7.5}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.25 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 1.7 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define COMPUTE_THETA ((plot == P_POLAR)||(plot == P_GRADIENT)||(plot == P_GRADIENTX)||(plot == P_GRADIENT_INTENSITY)||(plot == P_VORTICITY))
|
|||
|
|
#define COMPUTE_THETAZ ((zplot == P_POLAR)||(zplot == P_GRADIENT)||(zplot == P_GRADIENTX)||(zplot == P_GRADIENT_INTENSITY)||(zplot == P_VORTICITY))
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 21 April 22 - Waves hitting a Mandelbrot set, in 3D (longer version) ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(-0.9, 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 -0.925
|
|||
|
|
#define YMAX 1.325 /* 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 24 /* 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 1.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 -0.2
|
|||
|
|
#define ISO_YSHIFT_RIGHT 0.15
|
|||
|
|
#define ISO_SCALE 0.475 /* 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 COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 1500 /* 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 3 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 0 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 105 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 5.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
/* 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] = {2.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.8 /* 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 1.2 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.35 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 20 April 22 - 3D rendreing of spirals in the Rock-Paper-Scissors reaction-diffusion equation ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_random(0.5, 0.4, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 4 /* choice of reaction term, see list below */
|
|||
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 3 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define E_HEAT 0 /* heat equation */
|
|||
|
|
#define E_ALLEN_CAHN 1 /* Allen-Cahn equation */
|
|||
|
|
#define E_CAHN_HILLIARD 2 /* Cahn-Hilliard equation */
|
|||
|
|
#define E_FHN 3 /* FitzHugh-Nagumo equation */
|
|||
|
|
#define E_RPS 4 /* rock-paper-scissors equation */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.0000005
|
|||
|
|
|
|||
|
|
#define VISCOSITY 0.05
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.8 /* time scale separation */
|
|||
|
|
#define DELTA 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 100 /* initial time during which viscosity remains constant */
|
|||
|
|
#define VISCOSITY_FACTOR 150.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2900 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 5 /* initial still time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Plot type */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 25 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
|
|||
|
|
#define P_RGB 20 /* RGB plot */
|
|||
|
|
#define P_POLAR 21 /* polar angle associated with RBG plot */
|
|||
|
|
#define P_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define P_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define P_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define PLOT_3D (PLOT > 100) /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#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 1 /* set to 1 to print v */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* 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 1.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 3.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.00001 /* 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 COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
|
|||
|
|
#define 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 */
|
|||
|
|
|
|||
|
|
/* 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 */
|
|||
|
|
/* 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] = {2.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.25 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define COMPUTE_THETA ((plot == P_POLAR)||(plot == P_GRADIENT)||(plot == P_GRADIENTX)||(plot == P_GRADIENT_INTENSITY)||(plot == P_VORTICITY))
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 19 April 22 - 3D rendering of the Buser-Conway-Doyle-Semmler homophonic drums ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_xplusminus(startleft[0], startleft[1], startright[0], startright[1], 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 38 /* 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 1.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 -0.2
|
|||
|
|
#define ISO_YSHIFT_RIGHT 0.15
|
|||
|
|
#define ISO_SCALE 0.475 /* 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 COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 1800 /* number of frames of movie */
|
|||
|
|
#define NVID 14 /* 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 3 /* 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 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 0 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 105 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* 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 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.2 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 3.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
/* 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] = {4.0, 8.0, 6.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.02 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.15 /* 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 -0.42 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 18 April 22 - The 2D Allen-Cahn equation with growing viscosity rendred in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `rde.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_random(0.0, 0.4, phi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 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 */
|
|||
|
|
|
|||
|
|
/* Choice of simulated equation */
|
|||
|
|
|
|||
|
|
#define RDE_EQUATION 1 /* choice of reaction term, see list below */
|
|||
|
|
#define NFIELDS 1 /* number of fields in reaction-diffusion equation */
|
|||
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|||
|
|
|
|||
|
|
#define E_HEAT 0 /* heat equation */
|
|||
|
|
#define E_ALLEN_CAHN 1 /* Allen-Cahn equation */
|
|||
|
|
#define E_CAHN_HILLIARD 2 /* Cahn-Hilliard equation */
|
|||
|
|
#define E_FHN 3 /* FitzHugh-Nagumo equation */
|
|||
|
|
#define E_RPS 4 /* rock-paper-scissors equation */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 20 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 99 /* pattern of circles, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 5 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|||
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|||
|
|
|
|||
|
|
/* Physical patameters of wave equation */
|
|||
|
|
|
|||
|
|
#define DT 0.0000003
|
|||
|
|
|
|||
|
|
#define VISCOSITY 0.05
|
|||
|
|
|
|||
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|||
|
|
|
|||
|
|
#define EPSILON 0.1 /* time scale separation */
|
|||
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|||
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|||
|
|
|
|||
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|||
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|||
|
|
|
|||
|
|
#define T_OUT 2.0 /* outside temperature */
|
|||
|
|
#define T_IN 0.0 /* inside temperature */
|
|||
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|||
|
|
|
|||
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|||
|
|
#define NOISE_INTENSITY 0.1 /* noise intensity */
|
|||
|
|
|
|||
|
|
#define 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 CHANGE_VISCOSITY 1 /* set to 1 to change the viscosity in the course of the simulation */
|
|||
|
|
#define ADJUST_INTSTEP 1 /* set to 1 to decrease integration step when viscosity increases */
|
|||
|
|
#define VISCOSITY_INITIAL_TIME 50 /* 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 */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define B_COND 1
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2500 /* number of frames of movie */
|
|||
|
|
#define NVID 10 /* number of iterations between images displayed on screen */
|
|||
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|||
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|||
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|||
|
|
|
|||
|
|
#define NSEG 100 /* number of segments of boundary */
|
|||
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define INITIAL_TIME 5 /* initial still time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 25 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_AMPLITUDE 0 /* amplitude of first field */
|
|||
|
|
|
|||
|
|
#define P_RGB 20 /* RGB plot */
|
|||
|
|
#define P_POLAR 21 /* polar angle associated with RBG plot */
|
|||
|
|
#define P_GRADIENT 22 /* gradient of polar angle */
|
|||
|
|
#define P_GRADIENTX 23 /* direction of gradient of u */
|
|||
|
|
#define P_GRADIENT_INTENSITY 24 /* gradient and intensity of polar angle */
|
|||
|
|
#define P_VORTICITY 25 /* curl of polar angle */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define PLOT_3D (PLOT > 100) /* controls whether plot is 2D or 3D */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* Field representation */
|
|||
|
|
|
|||
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|||
|
|
#define PRINT_VISCOSITY 1 /* set to 1 to print v */
|
|||
|
|
|
|||
|
|
#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 */
|
|||
|
|
|
|||
|
|
/* 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 18 /* 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 4 /* choice of color scheme */
|
|||
|
|
|
|||
|
|
#define COLOR_PHASE_SHIFT 1.0 /* phase shift of color scheme, in units of Pi */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.75 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define CURL_SCALE 0.00001 /* 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 COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 0.0
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 0.55 /* scale of color scheme bar */
|
|||
|
|
#define 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 */
|
|||
|
|
|
|||
|
|
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] = {2.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.1 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
/* 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 April 22 - Interaction pentagons on a surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 4 /* 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 1.0 /* 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 1 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 3 /* 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 2.4 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.033 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2750 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* 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 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 14
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 3
|
|||
|
|
#define PLOT_B 4 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 18 /* 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 135.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.0002 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 750 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 50.0 /* 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 20.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 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 0.15 /* 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 30 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 16 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 16 April 22 - 3D waves in a Tokarsky unilluminable room without right angles ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(polyline[85].x, polyline[85].y, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 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 36 /* 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 0.8 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.08 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 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 3 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 0 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 105 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 300.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 5.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 15.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 1 /* 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] = {2.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.35 /* 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 0.05 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 15 April 22 - Interacting squares on a surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 4 /* 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 1.0 /* 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 1 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 2 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 4.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 2.25 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.03 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2400 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* 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 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 14
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 4
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define 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 135.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 5.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.0002 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 750 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 600.0 /* 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 20.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 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 0.08 /* 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 40 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 22 /* 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 April 22 - One cannot always hear the shape of a drum: Isospectral billiards in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_xplusminus(startleft[0], startleft[1], startright[0], startright[1], 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 37 /* 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 0.6 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.6 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 -1.0
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.9
|
|||
|
|
#define ISO_YSHIFT_LEFT 0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT 0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 2550 /* number of frames of movie */
|
|||
|
|
#define NVID 18 /* 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 3 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.5 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.1 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 15 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.1 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 0.25 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 3.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.40824829, 0.816496581, 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.006 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 2.4 /* 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 -0.2 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 13 April 22 - Waves hitting a Mandelbrot set, in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(-0.9, 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 HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 720 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define NX 1440 /* number of grid points on x axis */
|
|||
|
|
#define NY 1440 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.65
|
|||
|
|
#define XMAX 0.1 /* x interval */
|
|||
|
|
#define YMIN -0.6
|
|||
|
|
#define YMAX 1.15 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|||
|
|
|
|||
|
|
/* Choice of the billiard table */
|
|||
|
|
|
|||
|
|
#define B_DOMAIN 24 /* 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 1.2 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 -0.2
|
|||
|
|
#define ISO_YSHIFT_RIGHT 0.15
|
|||
|
|
#define ISO_SCALE 0.475 /* 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 COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 700 /* 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 3 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 0 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 105 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
#define P_3D_LOG_ENERGY 105 /* color depends on logarithm of energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* scaling factor for energy representation */
|
|||
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|||
|
|
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
|
|||
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 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 5.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 10.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|||
|
|
|
|||
|
|
/* For debugging purposes only */
|
|||
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|||
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|||
|
|
|
|||
|
|
/* 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] = {2.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.03 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.5 /* 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 0.9 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.4 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 12 April 22 - Interacting dipoles on a surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 4 /* 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 1.0 /* 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 1 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 5 /* particle interaction, see list in global_ljones.c */
|
|||
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|||
|
|
#define SPIN_INTER_FREQUENCY 2.0 /* angular frequency of spin-spin interaction */
|
|||
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define PDISC_DISTANCE 1.75 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.045 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3400 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* 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 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 14
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 4
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define 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 135.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.0002 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 3.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 750 /* time at end of simulation with gravity restored to initial value */
|
|||
|
|
|
|||
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|||
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|||
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|||
|
|
#define KTORQUE 600.0 /* 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 50.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 2.25 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define 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 0.1 /* 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 36 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 20 /* 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 April 22 - 3D waves in a 2D Julia set ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:**
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
init_circular_wave(0.2, 0.4, phi, psi, xy_in);
|
|||
|
|
add_circular_wave(-1.0, -0.2, -0.4, 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 16 /* 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 0.6 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.6 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 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 -1.0
|
|||
|
|
#define ISO_XSHIFT_RIGHT 0.9
|
|||
|
|
#define ISO_YSHIFT_LEFT 0.05
|
|||
|
|
#define ISO_YSHIFT_RIGHT 0.05
|
|||
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|||
|
|
|
|||
|
|
/* You can add more billiard tables by adapting the functions */
|
|||
|
|
/* xy_in_billiard and draw_billiard below */
|
|||
|
|
|
|||
|
|
/* Physical parameters of wave equation */
|
|||
|
|
|
|||
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|||
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|||
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|||
|
|
|
|||
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 2500 /* 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 3 /* 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 200 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.2 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 0.35 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 3.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|||
|
|
double observer[3] = {10.0, 6.0, 8.5}; /* location of observer for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.018 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.75 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|||
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|||
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
double julia_x = 0.37468, julia_y = 0.21115;
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 10 April 22 - Brownian particles on a surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**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 1.0 /* 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 1 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 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 5.75 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 5100 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* 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 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 14
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 5
|
|||
|
|
#define PLOT_B 4 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define 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 135.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE2 70.0 /* hue of particles of type 1 */
|
|||
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 5.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.0001 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 4.0 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 750 /* 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 50.0 /* 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 20.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|||
|
|
|
|||
|
|
#define TRACER_PARTICLE 1 /* 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 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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 34 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 18 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 9 April 22 - A hexagonal parabolic resonator, in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.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 -1.8
|
|||
|
|
#define XMAX 2.2 /* 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 32 /* 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 0.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 2350 /* number of frames of movie */
|
|||
|
|
#define NVID 18 /* 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 3 /* width of billiard boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.5 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.15 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 17 /* 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 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.1 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 0.25 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 3.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.40824829, 0.816496581, 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.0075 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|||
|
|
#define XY_SCALING_FACTOR 3.0 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 8 April 22 - Crystal formation on a surface of genus 2 ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 4 /* 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 1.0 /* 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 1 /* set to 1 do add fixed circular obstacles */
|
|||
|
|
#define OBSTACLE_PATTERN 2 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 3.25 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.021 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 3400 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* 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 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 14
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
|
|||
|
|
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
|
|||
|
|
#define HUE_TYPE1 135.0 /* hue of particles of type 1 */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 7.5 /* Lennard-Jones equilibrium distance */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.001 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e8 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 5.5 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
#define GRAVITY_RESTORE_TIME 750 /* 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 600.0 /* 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 100.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 2.25 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 0 /* set to 1 to have exponential BETA change only */
|
|||
|
|
#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
|
|||
|
|
|
|||
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|||
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|||
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|||
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|||
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|||
|
|
|
|||
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define 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 0.1 /* 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 40 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 22 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 7 April 22 - A diffraction grating in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(-1.0, 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 -1.8
|
|||
|
|
#define XMAX 2.2 /* 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 10 /* 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 0.18 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.045 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 1400 /* number of frames of movie */
|
|||
|
|
#define NVID 12 /* 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 PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.1 /* vertical scaling in 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 */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 16 /* 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 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 3.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 4.0 /* 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 */
|
|||
|
|
|
|||
|
|
/* Parameters controlling 3D projection */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
double light[3] = {0.40824829, 0.816496581, 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 */
|
|||
|
|
|
|||
|
|
#define Z_SCALING_FACTOR 0.0075 /* 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 0.5 /* max value of z coordinate for REP_PROJ_3D representation */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 6 April 22 - Lennard-Jones particles in increasing gravity, long version with gravity reset at the end ###
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**Program:** `lennardjones.c`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
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/* so far incompatible with double movie */
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#define TIME_LAPSE_FACTOR 4 /* factor of time-lapse movie */
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/* General geometrical parameters */
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#define WINWIDTH 1280 /* window width */
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#define WINHEIGHT 720 /* window height */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.125
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#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
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#define INITXMIN -1.6
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#define INITXMAX 1.6 /* x interval for initial condition */
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#define INITYMIN -0.95
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#define INITYMAX 0.65 /* y interval for initial condition */
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#define BCXMIN -1.95
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#define BCXMAX 1.95 /* x interval for boundary condition */
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#define BCYMIN -1.05
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#define BCYMAX 0.9 /* y interval for boundary condition */
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#define OBSXMIN -2.0
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#define OBSXMAX 2.0 /* x interval for motion of obstacle */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
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#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
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#define OBSTACLE_PATTERN 0 /* pattern of obstacles, see list in global_ljones.c */
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#define TWO_TYPES 0 /* set to 1 to have two types of particles */
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#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
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#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
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#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
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#define CENTER_PY 0 /* set to 1 to center vertical momentum */
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#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
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#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
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#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
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#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
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#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
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#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
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#define MU 0.015 /* parameter controlling radius of particles */
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#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
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#define NPOLY 3 /* number of sides of polygon */
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#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 4 /* depth of computation of Menger gasket */
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#define MRATIO 3 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 30 /* number of grid point for grid of disks */
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#define NGRIDY 20 /* number of grid point for grid of disks */
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#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
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#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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/* Parameters for length and speed of simulation */
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#define NSTEPS 2750 /* number of frames of movie */
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#define NVID 200 /* number of iterations between images displayed on screen */
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#define NSEG 250 /* number of segments of boundary */
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#define INITIAL_TIME 10 /* time after which to start saving frames */
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#define BOUNDARY_WIDTH 1 /* width of particle boundary */
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#define LINK_WIDTH 2 /* width of links between particles */
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#define CONTAINER_WIDTH 4 /* width of container boundary */
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#define PAUSE 1000 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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/* Boundary conditions, see list in global_ljones.c */
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#define BOUNDARY_COND 1
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/* Plot type, see list in global_ljones.c */
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#define PLOT 0
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#define PLOT_B 6 /* plot type for second movie */
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#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
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/* Color schemes */
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#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.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_ljones.c */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
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/* particle properties */
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#define ENERGY_HUE_MIN 330.0 /* color of original particle */
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#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
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#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
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#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */
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#define PARTICLE_EMAX 2.0e3 /* energy of particle with hottest color */
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#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
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#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
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#define KREPEL 12.0 /* constant in repelling force between particles */
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#define EQUILIBRIUM_DIST 7.5 /* Lennard-Jones equilibrium distance */
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#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
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#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
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#define DAMPING 0.0 /* damping coefficient of particles */
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#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
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#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
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#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
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#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
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#define V_INITIAL 10.0 /* initial velocity range */
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#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
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#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
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#define SIGMA 5.0 /* noise intensity in thermostat */
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#define BETA 0.005 /* initial inverse temperature */
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#define MU_XI 0.01 /* friction constant in thermostat */
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#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
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#define KSPRING_OBSTACLE 5.0e7 /* harmonic potential of obstacles */
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#define NBH_DIST_FACTOR 5.5 /* radius in which to count neighbours */
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#define GRAVITY 4000.0 /* gravity acting on all particles */
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#define INCREASE_GRAVITY 1 /* set to 1 to increase gravity during the simulation */
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#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
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#define GRAVITY_RESTORE_TIME 750 /* time at end of simulation with gravity restored to initial value */
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#define ROTATION 0 /* set to 1 to include rotation of particles */
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#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
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#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
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#define KTORQUE 600.0 /* force constant in angular dynamics */
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#define KTORQUE_B 10.0 /* force constant in angular dynamics */
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#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
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#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
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#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
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#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
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#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
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#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
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#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
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#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
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#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */
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#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
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#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
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#define FINAL_CONSTANT_PHASE 0 /* final phase in which temperature is constant */
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#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
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#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
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#define COMPRESSION_RATIO 0.3 /* final size of container */
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#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
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#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
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#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
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#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
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#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
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#define NTRIALS 2000 /* number of trials when resampling */
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#define OBSTACLE_RADIUS 0.3 /* radius of obstacle for circle boundary conditions */
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#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
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#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
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#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
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#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
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#define N_PRESSURES 100 /* number of intervals to record pressure */
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#define N_P_AVERAGE 100 /* size of pressure averaging window */
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#define N_T_AVERAGE 50 /* size of temperature averaging window */
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#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
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#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
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#define PARTIAL_THERMO_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
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#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
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#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
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#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
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#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
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#define NPART_BOTTOM 100 /* number of particles at the bottom */
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#define ADD_PARTICLES 0 /* set to 1 to add particles */
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#define ADD_TIME 25 /* time at which to add first particle */
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#define ADD_PERIOD 20 /* time interval between adding further particles */
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#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
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#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
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#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
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#define TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
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#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
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#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
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#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
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#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be vertical */
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#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
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#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
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#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
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#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
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#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
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#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
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#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
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#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
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#define WALL_VMAX 100.0 /* max speed of wall */
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#define WALL_TIME 500 /* time during which to keep wall */
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#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
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#define FMAX 1.0e9 /* maximal force */
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#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
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#define PMAX 1000.0 /* maximal force */
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#define HASHX 40 /* size of hashgrid in x direction */
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#define HASHY 22 /* size of hashgrid in y direction */
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#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
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#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
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#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
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#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
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|
|||
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```
|
|||
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|
|||
|
|
### 5 April 22 - Young’s double-slit experiment with waves, in 3D ###
|
|||
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|
|||
|
|
**Program:** `wave_3d.c`
|
|||
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|
|||
|
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**Initial condition in function `animation()`:** `init_circular_wave(-1.0, 0.0, phi, psi, xy_in);`
|
|||
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|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
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|
|||
|
|
/* General geometrical parameters */
|
|||
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|
|||
|
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#define WINWIDTH 1920 /* window width */
|
|||
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#define WINHEIGHT 1000 /* window height */
|
|||
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#define NX 1920 /* number of grid points on x axis */
|
|||
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#define NY 1000 /* number of grid points on y axis */
|
|||
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|
|||
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#define XMIN -1.8
|
|||
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#define XMAX 2.2 /* 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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|
|||
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#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|||
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|
|||
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#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|||
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|
|||
|
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/* Choice of the billiard table */
|
|||
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|
|||
|
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#define B_DOMAIN 9 /* choice of domain shape, see list in global_pdes.c */
|
|||
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|
|||
|
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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 */
|
|||
|
|
#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 0.04 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.06 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 20 /* 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 1600 /* number of frames of movie */
|
|||
|
|
#define NVID 12 /* 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 PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.0003 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
// #define PLOT 104
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
#define PLOT_SCALE_ENERGY 0.08 /* vertical scaling in energy plot */
|
|||
|
|
|
|||
|
|
/* 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 VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 3.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 4.0 /* 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 */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors */
|
|||
|
|
double v_3d[2] = {-0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.015};
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 4 April 22 - A wave traveling between parabolic reflectors, in 3D ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d.c`
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave(LAMBDA, 0.0, phi, psi, xy_in);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1920 /* window width */
|
|||
|
|
#define WINHEIGHT 1000 /* window height */
|
|||
|
|
#define NX 1920 /* number of grid points on x axis */
|
|||
|
|
#define NY 1000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.8
|
|||
|
|
#define XMAX 2.2 /* 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 19 /* choice of domain shape, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define CIRCLE_PATTERN 201 /* pattern of circles or polygons, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|||
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|||
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 1.1 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 1.0e-7 /* 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 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1700 /* number of frames of movie */
|
|||
|
|
#define NVID 15 /* 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 PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 104 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
#define P_3D_ENERGY 104 /* color depends on energy, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
/* 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 VSCALE_AMPLITUDE 0.7 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#define VSCALE_ENERGY 0.7 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
#define E_SCALE 200.0 /* 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 4.0 /* 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 */
|
|||
|
|
|
|||
|
|
double u_3d[2] = {-0.75, -0.45}; /* projections of basis vectors */
|
|||
|
|
double v_3d[2] = {0.75, -0.45};
|
|||
|
|
double w_3d[2] = {0.0, 0.025};
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 3 April 22 - Shock wave of a narrow wedge moving through & Lennard-Jones gas ###
|
|||
|
|
|
|||
|
|
**Program:** `lennardjones.c`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|||
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|||
|
|
|
|||
|
|
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
|
|||
|
|
/* so far incompatible with double movie */
|
|||
|
|
#define TIME_LAPSE_FACTOR 4 /* factor of time-lapse movie */
|
|||
|
|
|
|||
|
|
|
|||
|
|
/* General geometrical parameters */
|
|||
|
|
|
|||
|
|
#define WINWIDTH 1280 /* window width */
|
|||
|
|
#define WINHEIGHT 720 /* window height */
|
|||
|
|
|
|||
|
|
#define XMIN -2.75
|
|||
|
|
#define XMAX 1.25 /* x interval */
|
|||
|
|
#define YMIN -1.125
|
|||
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|||
|
|
|
|||
|
|
#define INITXMIN -3.65
|
|||
|
|
#define INITXMAX 2.15 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.0
|
|||
|
|
#define INITYMAX 1.0 /* y interval for initial condition */
|
|||
|
|
|
|||
|
|
#define BCXMIN -3.75
|
|||
|
|
#define BCXMAX 2.25 /* 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 0 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 5.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|||
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|||
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|||
|
|
|
|||
|
|
#define LAMBDA 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.012 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.125 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define 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 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
// #define NSTEPS 500 /* number of frames of movie */
|
|||
|
|
#define NSTEPS 3200 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 250 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 100 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 8
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.0e3 /* energy of particle with hottest color */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 3.0e-7 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.01 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e7 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 5.5 /* radius in which to count neighbours */
|
|||
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|||
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|||
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
|
|||
|
|
#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 600.0 /* 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 500.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 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 1 /* set to 1 to have a moving obstacle */
|
|||
|
|
#define CENTER_VIEW_ON_OBSTACLE 1 /* set to 1 to center display on moving obstacle */
|
|||
|
|
#define RESAMPLE_Y 1 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|||
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|||
|
|
#define OBSTACLE_RADIUS 0.3 /* 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_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|||
|
|
|
|||
|
|
#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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e9 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 90 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 30 /* size of hashgrid in y direction */
|
|||
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|||
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|||
|
|
|
|||
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|||
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|||
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 2 April 22 - 3D waves flowing over Sierpinski carpets ###
|
|||
|
|
|
|||
|
|
**Program:** `wave_3d_sierpinski.c` (variant of `wave_3d.c`)
|
|||
|
|
|
|||
|
|
**Initial condition in function `animation()`:** `init_circular_wave_sierpinski(1.5, 0.0, phi, psi, xy_in, mdepth);`
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
#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 1000 /* number of grid points on y axis */
|
|||
|
|
|
|||
|
|
#define XMIN -1.8
|
|||
|
|
#define XMAX 2.2 /* 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 15 /* 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 1.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.3 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.5 /* 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 0.005 /* frequency of periodic excitation */
|
|||
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|||
|
|
#define COURANT 0.05 /* Courant number */
|
|||
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|||
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|||
|
|
#define GAMMAB 5.0e-7 /* 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 2
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|||
|
|
#define NVID 15 /* 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 PAUSE 200 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Parameters of initial condition */
|
|||
|
|
|
|||
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|||
|
|
#define INITIAL_VARIANCE 0.00025 /* variance of initial condition */
|
|||
|
|
#define INITIAL_WAVELENGTH 0.015 /* wavelength of initial condition */
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define PLOT 103
|
|||
|
|
|
|||
|
|
#define PLOT_B 102 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define P_3D_AMPLITUDE 101 /* color depends on amplitude */
|
|||
|
|
#define P_3D_ANGLE 102 /* color depends on angle with fixed direction */
|
|||
|
|
#define P_3D_AMP_ANGLE 103 /* color depends on amplitude, luminosity depends on angle */
|
|||
|
|
|
|||
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|||
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|||
|
|
#define COLOR_PALETTE_B 18 /* Color palette, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define VSCALE_AMPLITUDE 0.7 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|||
|
|
#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 4.0 /* scale of color scheme bar */
|
|||
|
|
#define COLORBAR_RANGE_B 1.0 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|
|||
|
|
### 1 April 22 - A novel way of generating energy from water ###
|
|||
|
|
|
|||
|
|
**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 4 /* 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 -1.95
|
|||
|
|
#define INITXMAX 1.95 /* x interval for initial condition */
|
|||
|
|
#define INITYMIN -1.0
|
|||
|
|
#define INITYMAX 1.0 /* 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 0 /* pattern of obstacles, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|||
|
|
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
|
|||
|
|
#define SYMMETRIZE_FORCE 0 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|||
|
|
#define 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 7 /* 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 2.0 /* parameter controlling the dimensions of domain */
|
|||
|
|
#define MU 0.035 /* parameter controlling radius of particles */
|
|||
|
|
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
|
|||
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|||
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|||
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|||
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|||
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|||
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|||
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|||
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|||
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|||
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|||
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|||
|
|
|
|||
|
|
#define X_SHOOTER -0.2
|
|||
|
|
#define Y_SHOOTER -0.6
|
|||
|
|
#define X_TARGET 0.4
|
|||
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|||
|
|
|
|||
|
|
/* Parameters for length and speed of simulation */
|
|||
|
|
|
|||
|
|
#define NSTEPS 2700 /* number of frames of movie */
|
|||
|
|
#define NVID 200 /* number of iterations between images displayed on screen */
|
|||
|
|
#define NSEG 150 /* number of segments of boundary */
|
|||
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|||
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|||
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|||
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|||
|
|
|
|||
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|||
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|||
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|||
|
|
#define SLEEP2 1 /* final sleeping time */
|
|||
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|||
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|||
|
|
|
|||
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BOUNDARY_COND 0
|
|||
|
|
|
|||
|
|
/* Plot type, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define PLOT 0
|
|||
|
|
#define PLOT_B 3 /* plot type for second movie */
|
|||
|
|
|
|||
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|||
|
|
|
|||
|
|
/* Color schemes */
|
|||
|
|
|
|||
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define BLACK 1 /* background */
|
|||
|
|
|
|||
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
|
|||
|
|
|
|||
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|||
|
|
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
|
|||
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|||
|
|
|
|||
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|||
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|||
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|||
|
|
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
|
|||
|
|
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|||
|
|
|
|||
|
|
/* particle properties */
|
|||
|
|
|
|||
|
|
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_HUE_MIN 330.0 /* color of original particle */
|
|||
|
|
#define PARTICLE_HUE_MAX 50.0 /* color of saturated particle */
|
|||
|
|
#define PARTICLE_EMAX 1.5e3 /* energy of particle with hottest color */
|
|||
|
|
|
|||
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|||
|
|
#define DT_PARTICLE 1.0e-6 /* time step for particle displacement */
|
|||
|
|
#define KREPEL 10.0 /* constant in repelling force between particles */
|
|||
|
|
#define EQUILIBRIUM_DIST 3.75 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|||
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|||
|
|
#define DAMPING 0.0 /* damping coefficient of particles */
|
|||
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|||
|
|
#define PARTICLE_MASS_B 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 10.0 /* initial velocity range */
|
|||
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|||
|
|
|
|||
|
|
#define THERMOSTAT 1 /* set to 1 to switch on thermostat */
|
|||
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|||
|
|
#define BETA 0.0005 /* initial inverse temperature */
|
|||
|
|
#define MU_XI 0.05 /* friction constant in thermostat */
|
|||
|
|
#define KSPRING_BOUNDARY 5.0e7 /* confining harmonic potential outside simulation region */
|
|||
|
|
#define KSPRING_OBSTACLE 5.0e7 /* harmonic potential of obstacles */
|
|||
|
|
#define NBH_DIST_FACTOR 5.5 /* 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_FACTOR 100.0 /* factor by which to increase gravity */
|
|||
|
|
|
|||
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#define ROTATION 1 /* set to 1 to include rotation of particles */
|
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#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
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|
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#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
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|
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#define KTORQUE 600.0 /* force constant in angular dynamics */
|
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#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
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|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
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|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
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|
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#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
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#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
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|
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#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
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|
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#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
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|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
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|
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|
|||
|
|
#define INCREASE_BETA 1 /* set to 1 to increase BETA during simulation */
|
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|
|
#define BETA_FACTOR 500.0 /* factor by which to change BETA during simulation */
|
|||
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|||
|
|
#define NO_OSCILLATION 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 0.15 /* 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 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 25 /* time at which to add first particle */
|
|||
|
|
#define ADD_PERIOD 20 /* time interval between adding further particles */
|
|||
|
|
#define FINAL_NOADD_PERIOD 250 /* final period where no particles are added */
|
|||
|
|
#define SAFETY_FACTOR 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 TRAJECTORY_LENGTH 6000 /* length of recorded trajectory */
|
|||
|
|
#define TRACER_PARTICLE_MASS 0.1 /* relative mass of tracer particle */
|
|||
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|||
|
|
|
|||
|
|
#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 PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|||
|
|
|
|||
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|||
|
|
|
|||
|
|
#define 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 1.0e8 /* maximal force */
|
|||
|
|
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
|
|||
|
|
#define PMAX 1000.0 /* maximal force */
|
|||
|
|
|
|||
|
|
#define HASHX 25 /* size of hashgrid in x direction */
|
|||
|
|
#define HASHY 15 /* 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 */
|
|||
|
|
|
|||
|
|
```
|
|||
|
|
|