7317 lines
395 KiB
Markdown
7317 lines
395 KiB
Markdown
### Parameter values for YouTube simulations ###
|
|
|
|
Created by **Nils Berglund** and optimized by **Marco Mancini**
|
|
|
|
C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
|
|
|
|
Below are parameter values used for different simulations, as well as initial conditions used in
|
|
function animation. Some simulations use variants of the published code. The list is going to be
|
|
updated gradually.
|
|
|
|
|
|
### 31 December 22 - Explosive lensing ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
init_circular_wave(2.0*LAMBDA*cos(APOLY*PID), 2.0*LAMBDA*sin(APOLY*PID), phi, psi, xy_in);
|
|
angle = DPI/(double)NPOLY;
|
|
for (j=1; j<NPOLY; j++)
|
|
add_circular_wave(1.0, 2.0*LAMBDA*cos((double)j*angle + APOLY*PID), 2.0*LAMBDA*sin((double)j*angle + APOLY*PID), phi, psi, xy_in);
|
|
|
|
if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
|
|
for (j=0; j<NPOLY; j++)
|
|
add_circular_wave(sign, 2.0*LAMBDA*cos((double)j*angle + APOLY*PID), 2.0*LAMBDA*sin((double)j*angle + APOLY*PID), 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 */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1150 /* window height */
|
|
#define NX 3840 /* number of grid points on x axis */
|
|
#define NY 2300 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.197916667
|
|
#define YMAX 1.197916667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 59 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define 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 0.5 /* 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 6 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 15 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 1 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.0005 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.25 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.1 /* Courant number */
|
|
#define COURANTB 0.04658753 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 50 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign 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 9 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|
|
|
#define PAUSE 200 /* 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 */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.35 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 1
|
|
|
|
#define PLOT_B 5 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#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 /* background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 40.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 3.5 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 1.0e3 /* scaling factor for enegy flux represtnation */
|
|
#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 0.75 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 0.05 /* 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 */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POT_MAZE 7
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* 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 */
|
|
|
|
```
|
|
|
|
### 30 December 22 - Yet another, only marginally successful attempt to solve a maze with an incompressible fluid ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_laminar_flow(flow_speed_schedule(0), LAMINAR_FLOW_MODULATION, 0.5, 0.0, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1150 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 575 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.197916667
|
|
#define YMAX 1.197916667 /* y interval for 9/16 aspect ratio */
|
|
|
|
/* Choice of simulated equation */
|
|
|
|
#define RDE_EQUATION 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 541 /* 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 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.05 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
#define CHANGE_FLOW_SPEED 0 /* set to 1 to change speed of laminar flow */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define IN_OUT_FLOW_BC 1 /* set to 1 to add in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.35 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define IN_OUT_FLOW_AMP 0.35 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define LAMINAR_FLOW_MODULATION 0.3 /* asymmetry of laminar flow */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1600 /* number of frames of movie */
|
|
#define NVID 120 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 50
|
|
#define CPLOT_B 54
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
#define PRINT_FLOW_SPEED 1 /* set to 1 to print speed of flow */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 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 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 0.7 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
#define VSCALE_PRESSURE 0.5 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_SHIFT 50.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_LOG_SHIFT -2.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 1000.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 29 December 22 - Are circular mazes unilluminable? ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(-0.1, 0.1, 0.0, DPI, configs);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 31 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 13 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.005 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 10000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_CIRCLE_PARTICLE_NUMBER 1 /* set to 1 to print number of particles outside circular maze */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 7200 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 250 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define COLOR_HUEMIN 30 /* minimal color hue */
|
|
#define COLOR_HUEMAX 330 /* maximal color hue */
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.01 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 8 /* width of maze */
|
|
#define NYMAZE 32 /* height of maze */
|
|
#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_RANDOM_FACTOR 0.1 /* randomization factor for S_MAZE_RANDOM */
|
|
#define MAZE_CORNER_RADIUS 0.5 /* radius of tounded corners in maze */
|
|
|
|
```
|
|
|
|
### 28 December 22 - A rainbow sprinkler ###
|
|
|
|
**Program:** `lennardjones.c` postprocessed with `ljones_movie.c`
|
|
|
|
```
|
|
#define MOVIE 0 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
|
|
#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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 1 /* set to 1 to save time series of particle positions */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define INITXMIN -0.1
|
|
#define INITXMAX 0.1 /* x interval for initial condition */
|
|
#define INITYMIN 1.1
|
|
#define INITYMAX 1.2 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.3 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 1 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.009 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 0.66 /* 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 1 /* number of grid point for grid of disks */
|
|
#define NGRIDY 1 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 4000 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 8
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 2.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 20.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 40.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 20.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU_B */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 1 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 2 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 20 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 700 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 1 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 1 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|
#define HASHY 75 /* 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 December 22 - Turbulence (possibly numerical) in a flow of increasing speed around an obstacle ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_laminar_flow(flow_speed_schedule(0), LAMINAR_FLOW_MODULATION, 0.5, -0.1, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* number of grid points on y axis */
|
|
|
|
#define XMIN -1.0
|
|
#define XMAX 3.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
/* Choice of simulated equation */
|
|
|
|
#define RDE_EQUATION 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 199 /* 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 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.5 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.05 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
#define CHANGE_FLOW_SPEED 1 /* set to 1 to change speed of laminar flow */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define IN_OUT_FLOW_BC 1 /* set to 1 to add in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.3 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define IN_OUT_FLOW_AMP 1.4 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define LAMINAR_FLOW_MODULATION 0.5 /* asymmetry of laminar flow */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1600 /* number of frames of movie */
|
|
#define NVID 120 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 50
|
|
#define CPLOT_B 51
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
#define PRINT_FLOW_SPEED 1 /* set to 1 to print speed of flow */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 18 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
#define VSCALE_PRESSURE 0.5 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_SHIFT 10.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_LOG_SHIFT -2.5 /* shift for color scheme Z_EULER_PRESSURE */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 1.7 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 1000.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 26 December 22 - Shining a rotating laser beam into a 16 by 16 maze with rounded corners ###
|
|
|
|
**Program:** `particle_trajectory.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
x = -1.65;
|
|
y = 0.03;
|
|
alpha = angle_schedule(time);
|
|
period = compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length, &xmax);
|
|
```
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 31 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 10 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 50000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 50000 /* total number of sides of polygonal line */
|
|
#define NCX 9 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 2 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA -1.1 /* parameter controlling shape of domain */
|
|
#define MU 0.1 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 1 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define TRAJ_LENGTH 10000 /* length of trajectory */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
#define PRINT_TRAJECTORY_LENGTH 1 /* set to 1 to print length of trajectory 0 */
|
|
#define PRINT_TRAJECTORY_ANGLE 1 /* set to 1 to print angle of trajectory 0 */
|
|
#define PRINT_TRAJECTORY_PERIOD 0 /* set to 1 to print period of trajectory 0 */
|
|
#define DRAW_LENGTHS_PLOT 1 /* set to 1 to plot trajectory lengths */
|
|
#define LENGTHS_LOG_SCALE 1 /* set to 1 to use log scale for plot of lengths */
|
|
#define MIN_ANGLE 10.0 /* range of angles of trajectory */
|
|
#define MAX_ANGLE 50.0 /* range of angles of trajectory */
|
|
#define TEST_INITIAL_COND 1 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define SLOW_AT_LONG_TRAJ 0 /* set to 1 to slow down movie for long trajectories */
|
|
#define ADD_SUCCESS_GALLERY 1 /* set to 1 to add gallery of successful trajectories at end of movie */
|
|
#define SUCCESS_GALLERY_FRAMES 25 /* number of frames per success */
|
|
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00001 /* integration step */
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 500 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
#define GRAPH_HUE 30.0 /* color hue of graph */
|
|
#define SUCCESS_HUE 90.0 /* color hue of success */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 250 /* 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 END_FRAMES 100 /* number of frames at end of movie */
|
|
|
|
#define NXMAZE 16 /* width of maze */
|
|
#define NYMAZE 16 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 1 /* seed of random number generator */
|
|
#define MAZE_XSHIFT -0.5 /* horizontal shift of maze */
|
|
#define MAZE_RANDOM_FACTOR 0.1 /* randomization factor for S_MAZE_RANDOM */
|
|
#define MAZE_CORNER_RADIUS 0.4 /* radius of tounded corners in maze */
|
|
|
|
```
|
|
|
|
### 25 December 22 - A refracting star, viewed in 3D ###
|
|
|
|
**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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define NX 1440 /* number of grid points on x axis */
|
|
#define NY 1440 /* number of grid points on y axis */
|
|
|
|
#define XMIN -1.5
|
|
#define XMAX 1.5 /* x interval */
|
|
#define YMIN -1.5
|
|
#define YMAX 1.5 /* y interval */
|
|
|
|
#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 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 2 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 24 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 16 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.05 /* Courant number */
|
|
#define COURANTB 0.1 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2150 /* number of frames of movie */
|
|
#define NVID 5 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|
#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */
|
|
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.25 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0005 /* 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 103 /* 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 FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */
|
|
#define DRAW_BILLIARD 0 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 0 /* set to 1 to draw front of boundary after drawing wave */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.01 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.25 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 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 1.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.75 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.5 /* shift of colors on log scale */
|
|
#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|
#define FLUX_SCALE 1.0e4 /* scaling factor for enegy flux represtnation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.5 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
|
|
/* Parameters controlling 3D projection */
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 12.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.6 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
|
|
```
|
|
|
|
### 24 December 22 - A Christmas sandpile ###
|
|
|
|
**Program:** `lennardjones.c`, postprocessed with `ljones_movie.c`
|
|
|
|
```
|
|
#define MOVIE 0 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
|
|
#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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 1 /* set to 1 to save time series of particle positions */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define INITXMIN -0.1
|
|
#define INITXMAX 0.1 /* x interval for initial condition */
|
|
#define INITYMIN 1.1
|
|
#define INITYMAX 1.2 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.3 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 1 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.009 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 0.66 /* 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 1 /* number of grid point for grid of disks */
|
|
#define NGRIDY 1 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 3300 /* number of frames of movie */
|
|
// #define NSTEPS 1000 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 5
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 2.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 140.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 40.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 20.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU_B */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 1 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 2 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 20 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 700 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 1 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 1 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 150 /* size of hashgrid in x direction */
|
|
#define HASHY 75 /* 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 */
|
|
|
|
```
|
|
|
|
### 23 December 22 - An airfoil in a laminar flow ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_laminar_flow(IN_OUT_FLOW_AMP, 0.2, 0.5, 0.0, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* 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 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 198 /* 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 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.05 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define IN_OUT_FLOW_BC 1 /* set to 1 to add in-flow/out-flow boundary conditions (for Euler equation) */
|
|
#define IN_OUT_FLOW_AMP 1.0 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1500 /* number of frames of movie */
|
|
#define NVID 120 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 51
|
|
#define CPLOT_B 54
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
#define VSCALE_PRESSURE 0.5 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_SHIFT 10.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_LOG_SHIFT -2.5 /* shift for color scheme Z_EULER_PRESSURE */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 2.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 1000.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 22 December 22 - Deep impact 8: Dropping heavy particles (mass ratio 20:1) into a Lennard-Jones fluid ###
|
|
|
|
**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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 -1.99
|
|
#define INITXMAX 1.99 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* 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 1 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 20 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.009 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 100 /* number of grid point for grid of disks */
|
|
#define NGRIDY 75 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2000 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 5
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 2.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 15.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 40.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 20.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU_B */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 1 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 1 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 75 /* size of hashgrid in x direction */
|
|
#define HASHY 37 /* 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 */
|
|
|
|
```
|
|
|
|
### 21 December 22 - Solving a maze with rounded corners using laser beams ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.15, -0.01, 0.15*PI, 0.3*PI, configs);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 31 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 10 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.005 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 10000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 6900 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 250 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.04 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 32 /* width of maze */
|
|
#define NYMAZE 32 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 2 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_RANDOM_FACTOR 0.1 /* randomization factor for S_MAZE_RANDOM */
|
|
#define MAZE_CORNER_RADIUS 0.4 /* radius of tounded corners in maze */
|
|
|
|
```
|
|
|
|
### 20 December 22 - A refracting von Koch snowflake ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
init_circular_wave(0.0, 0.0, phi, psi, xy_in);
|
|
|
|
if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
|
|
add_circular_wave(sign, 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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 3840 /* number of grid points on x axis */
|
|
#define NY 2000 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 41 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define 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 0.85 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.85 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 24 /* number of sides of polygon */
|
|
#define APOLY 0.333333333 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 15 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 1 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.0005 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.25 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.05 /* Courant number */
|
|
#define COURANTB 0.1 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 50 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign 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 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 PRINT_SPEED 0 /* print speed of moving source */
|
|
|
|
#define PAUSE 200 /* 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 */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.35 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 6
|
|
|
|
#define PLOT_B 7 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 12 /* 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 1.0e3 /* scaling factor for enegy flux represtnation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POT_MAZE 7
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* 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 December 22 - Bloopers 4: Blow-up in an incompressible Euler flow ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_shear_flow(1.0, 0.02, 0.15, 1, 1, 0.0, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* 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 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 3 /* 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 0.25 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.03 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|
#define NVID 200 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 54
|
|
#define CPLOT_B 53
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 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 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
#define VSCALE_PRESSURE 0.35 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_SHIFT 250.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_LOG_SHIFT -1.8 /* shift for color scheme Z_EULER_PRESSURE */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 1000.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 18 December 22 - Deep impact 7: Dropping heavy particles (mass ratio 5:1) into a Lennard-Jones fluid ###
|
|
|
|
**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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 -1.99
|
|
#define INITXMAX 1.99 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* 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 1 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 20 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.009 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 100 /* number of grid point for grid of disks */
|
|
#define NGRIDY 75 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1800 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 5
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 2.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 15.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 40.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 5.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU_B */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 1 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 1 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 75 /* size of hashgrid in x direction */
|
|
#define HASHY 37 /* 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 */
|
|
|
|
```
|
|
|
|
### 17 December 22 - Mazes with randomized angles are harder to solve with laser beams ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.15, -0.01, 0.15*PI, 0.3*PI, configs);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 12 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.005 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 20000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 8000 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 500 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.04 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 30 /* width of maze */
|
|
#define NYMAZE 30 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 2 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_RANDOM_FACTOR 0.1 /* randomization factor for S_MAZE_RANDOM */
|
|
|
|
```
|
|
|
|
### 16 December 22 - A refracting star ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
init_circular_wave(0.0, 0.0, phi, psi, xy_in);
|
|
|
|
if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
|
|
add_circular_wave(sign, 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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 3840 /* number of grid points on x axis */
|
|
#define NY 2000 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 42 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define 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 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.2 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 24 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 6 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 15 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 1 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.0005 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.25 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.05 /* Courant number */
|
|
#define COURANTB 0.1 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 50 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2400 /* 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 PRINT_SPEED 0 /* print speed of moving source */
|
|
|
|
#define PAUSE 200 /* 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 */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.35 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 6
|
|
|
|
#define PLOT_B 7 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 13 /* 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 1.0e3 /* scaling factor for enegy flux represtnation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POT_MAZE 7
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
|
|
```
|
|
|
|
### 15 December 22 - Pressure of an incompressible Euler flow with a circular obstacle ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_shear_flow(1.0, 0.02, 0.15, 1, 1, 0.0, 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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1000 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 500 /* number of grid points on x axis */
|
|
#define NY 500 /* number of grid points on y axis */
|
|
|
|
#define XMIN -1.0
|
|
#define XMAX 1.0 /* x interval */
|
|
#define YMIN -1.0
|
|
#define YMAX 1.0 /* y interval for 9/16 aspect ratio */
|
|
|
|
/* Choice of simulated equation */
|
|
|
|
#define RDE_EQUATION 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 3 /* 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 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.03 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1000 /* number of frames of movie */
|
|
#define NVID 200 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 54
|
|
#define CPLOT_B 51
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
// #define ZPLOT 32 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
#define VSCALE_PRESSURE 0.35 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_SHIFT 250.0 /* shift for color scheme Z_EULER_PRESSURE */
|
|
#define PRESSURE_LOG_SHIFT -1.8 /* shift for color scheme Z_EULER_PRESSURE */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 1000.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 14 December 22 - Mixing of sticky square grains of sand during a cave-in ###
|
|
|
|
**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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 0.05
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 18 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 2 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 4 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 1 /* 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 2.5 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.014 /* parameter controlling radius of particles */
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|
#define APOLY 0.666666666 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 90 /* number of grid point for grid of disks */
|
|
#define NGRIDY 100 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 6000 /* number of frames of movie */
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 400 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 200 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 1
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 11
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 4.5e-6 /* time step for particle displacement */
|
|
#define KREPEL 0.5 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 3.5 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 400.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 750.0 /* damping coefficient of particles during initial phase */
|
|
#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 0.02 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 4000.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 1 /* 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 20.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.5 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.0 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 1000.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 1 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 1 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 120 /* size of hashgrid in x direction */
|
|
#define HASHY 60 /* size of hashgrid in y direction */
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
```
|
|
|
|
### 13 December 22 - Laser beams starting in the center of a 32 by 32 maze ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(0.0, 0.05, 0.0, DPI, configs);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 10 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.5 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 40000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 7500 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 128 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.04 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 32 /* width of maze */
|
|
#define NYMAZE 32 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 2 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
```
|
|
|
|
### 12 December 22 - Randomly started waves refracted on a honeycomb lattice ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
|
|
```
|
|
x = XMIN + (XMAX - XMIN)*rand()/RAND_MAX;
|
|
y = YMIN + (YMAX - YMIN)*rand()/RAND_MAX;
|
|
init_circular_wave(x, y, phi, psi, xy_in);
|
|
|
|
if (ALTERNATE_OSCILLATING_SOURCE) sign = -sign;
|
|
x = XMIN + (XMAX - XMIN)*rand()/RAND_MAX;
|
|
y = YMIN + (YMAX - YMIN)*rand()/RAND_MAX;
|
|
add_circular_wave(sign, x, 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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 3840 /* number of grid points on x axis */
|
|
#define NY 2000 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 57 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define 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 0.25 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.0 /* 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 6 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 15 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 1 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.0005 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.25 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.1 /* Courant number */
|
|
#define COURANTB 0.05 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 50 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1480 /* 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 PRINT_SPEED 0 /* print speed of moving source */
|
|
|
|
#define PAUSE 200 /* 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 */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.35 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 0
|
|
#define PLOT_B 5 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 13 /* 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 1.0e3 /* scaling factor for enegy flux represtnation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POT_MAZE 7
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
|
|
```
|
|
|
|
### 11 December 22 - Two airfoils on a torus ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_shear_flow(-1.0, 0.1, 0.2, 1, 1, 0.2, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* 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 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 58 /* 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 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.03 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2150 /* number of frames of movie */
|
|
#define NVID 120 /* 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 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 52
|
|
#define CPLOT_B 51
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 10 December 22 - Mixing (or lack thereof) of Lennard-Jones particles during a cave-in ###
|
|
|
|
**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 */
|
|
#define TIME_LAPSE_FIRST 1 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 0.05
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 18 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 2 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 4 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 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 2.7 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.008 /* parameter controlling radius of particles */
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|
#define APOLY 0.666666666 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 90 /* number of grid point for grid of disks */
|
|
#define NGRIDY 100 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 7000 /* number of frames of movie */
|
|
#define NVID 170 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 200 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 200 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 1
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 11
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 0 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 1.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 4.5e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 3.7 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 250.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 500.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 2500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1300 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 1 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.5 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.0 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 1000.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 1000.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 1 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 1 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 180 /* size of hashgrid in x direction */
|
|
#define HASHY 90 /* 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 December 22 - Shining a rotating laser beam into a 16 by 16 maze with slanted corners ###
|
|
|
|
**Program:** `particle_trajectory.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
x = -1.65;
|
|
y = 0.03;
|
|
alpha = angle_schedule(time);
|
|
period = compute_trajectories_xy(x, y, alpha, alpha + DPI, configs, trajectory, traj_length, &xmax);
|
|
```
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 6 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 11 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 50000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 50000 /* total number of sides of polygonal line */
|
|
#define NCX 9 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 2 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA -1.1 /* parameter controlling shape of domain */
|
|
#define MU 0.1 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 1 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define TRAJ_LENGTH 10000 /* length of trajectory */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 0 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
#define PRINT_TRAJECTORY_LENGTH 1 /* set to 1 to print length of trajectory 0 */
|
|
#define PRINT_TRAJECTORY_ANGLE 1 /* set to 1 to print angle of trajectory 0 */
|
|
#define PRINT_TRAJECTORY_PERIOD 0 /* set to 1 to print period of trajectory 0 */
|
|
#define DRAW_LENGTHS_PLOT 1 /* set to 1 to plot trajectory lengths */
|
|
#define LENGTHS_LOG_SCALE 1 /* set to 1 to use log scale for plot of lengths */
|
|
#define MIN_ANGLE 10.0 /* range of angles of trajectory */
|
|
#define MAX_ANGLE 50.0 /* range of angles of trajectory */
|
|
#define TEST_INITIAL_COND 1 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define SLOW_AT_LONG_TRAJ 0 /* set to 1 to slow down movie for long trajectories */
|
|
#define ADD_SUCCESS_GALLERY 1 /* set to 1 to add gallery of successful trajectories at end of movie */
|
|
#define SUCCESS_GALLERY_FRAMES 25 /* number of frames per success */
|
|
|
|
#define NSTEPS 2500 /* number of frames of movie */
|
|
#define TIME 2500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00001 /* integration step */
|
|
#define NVID 150 /* number of iterations between images displayed on screen */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 500 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.03 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
#define GRAPH_HUE 30.0 /* color hue of graph */
|
|
#define SUCCESS_HUE 90.0 /* color hue of success */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 250 /* 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 END_FRAMES 100 /* number of frames at end of movie */
|
|
|
|
#define NXMAZE 16 /* width of maze */
|
|
#define NYMAZE 16 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 1 /* seed of random number generator */
|
|
#define MAZE_XSHIFT -0.5 /* horizontal shift of maze */
|
|
|
|
```
|
|
|
|
### 8 December 22 - Energy flux of a wave refracted on a honeycomb lattice ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_wave(0.0, 0.0, phi, psi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 3840 /* number of grid points on x axis */
|
|
#define NY 2000 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 1.0 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 57 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define 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 0.25 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.0 /* 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 6 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 15 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 1 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.0005 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.25 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.05 /* Courant number */
|
|
#define COURANTB 0.1 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 25 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign 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 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 PRINT_SPEED 0 /* print speed of moving source */
|
|
|
|
#define PAUSE 200 /* 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 */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.35 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.01 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 6
|
|
|
|
#define PLOT_B 7 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 13 /* 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 PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.25 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.0 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 1.0e3 /* scaling factor for enegy flux represtnation */
|
|
#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 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 */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POT_MAZE 7
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
|
|
```
|
|
|
|
### 7 December 22 - Van Gogh meets Munch: An airfoil in a channel ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_shear_flow(-1.0, 0.0, 0.1, 1, 1, 0.0, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* 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 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 197 /* 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 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.03 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2250 /* number of frames of movie */
|
|
#define NVID 120 /* number of iterations between images displayed on screen */
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 52
|
|
#define CPLOT_B 51
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 14 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 6 December 22 - Deep impact 6: Comparing a triangular and a rectangular obstacle ###
|
|
|
|
**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 3 /* factor of time-lapse movie */
|
|
#define TIME_LAPSE_FIRST 0 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 -1.1
|
|
#define INITYMAX 0.15 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 19 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 1.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 90 /* number of grid point for grid of disks */
|
|
#define NGRIDY 100 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1500 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 0
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 1 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 10.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 35.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 120 /* size of hashgrid in x direction */
|
|
#define HASHY 60 /* size of hashgrid in y direction */
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
```
|
|
|
|
### 5 December 22 - Shooting laser beams at a 16 by 16 maze with slanted corners ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.15, 0.01, 0.00*PI, 0.3*PI, configs); `
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 11 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 0 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.5 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 10000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 4500 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 128 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 0 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.04 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 16 /* width of maze */
|
|
#define NYMAZE 16 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 1 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
```
|
|
|
|
### 4 December 22 - 3D view of a wave refracted on a honeycomb lattice ###
|
|
|
|
**Program:** `wave_3d.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
init_circular_wave_mod(0.0, 0.0, phi, psi, xy_in);
|
|
add_circular_wave_mod(sign, 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 */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 2500 /* number of grid points on x axis */
|
|
#define NY 1250 /* number of grid points on y axis */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 1 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 57 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 2 /* pattern of circles or polygons, see list in global_pdes.c */
|
|
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 2 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.25 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.0 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 12 /* number of grid point for grid of disks */
|
|
#define NGRIDY 16 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 3 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.001 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COURANT 0.05 /* Courant number */
|
|
#define COURANTB 0.1 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 0.0 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 100 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
#define PRECOMPUTE_BC 0 /* set to 1 to compute neighbours for Laplacian in advance */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|
#define NVID 5 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|
#define PRINT_SPEED 0 /* set to 1 to print speed of moving source */
|
|
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.25 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0005 /* 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 103 /* 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 FLOOR_ZCOORD 1 /* set to 1 to draw only facets with z not too negative */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw front of boundary after drawing wave */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw construction lines of certain domains */
|
|
#define FADE_IN_OBSTACLE 1 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental, draw outside of billiard in gray */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.01 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.25 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 14 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 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 100.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.75 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 0.5 /* shift of colors on log scale */
|
|
#define LOG_ENERGY_FLOOR -10.0 /* floor value for log of (total) energy */
|
|
#define LOG_MEAN_ENERGY_SHIFT 1.0 /* additional shift for log of mean energy */
|
|
#define FLUX_SCALE 1.0e4 /* scaling factor for enegy flux represtnation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 240.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -200.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 24 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#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 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
/* for compatibility with sub_wave and sub_maze */
|
|
#define ADD_POTENTIAL 0
|
|
#define POTENTIAL 0
|
|
/* end of constants only used by sub_wave and sub_maze */
|
|
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
|
|
/* Parameters controlling 3D projection */
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.3 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
|
|
```
|
|
|
|
### 3 December 22 - A shear flow with an airfoil-shaped obstacle ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_shear_flow(-1.0, 0.0, 0.1, 1, 1, 0.0, phi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#define SAVE_MEMORY 0 /* set to 1 to save memory when writing tiff images */
|
|
|
|
/* General geometrical parameters */
|
|
|
|
#define WINWIDTH 1920 /* window width */
|
|
#define WINHEIGHT 1000 /* window height */
|
|
#define NX 960 /* number of grid points on x axis */
|
|
#define NY 500 /* 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 6 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 2 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 1 /* number of fields for which to compute Laplacian */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
|
|
#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 198 /* 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 0.7 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.15 /* parameter controlling the dimensions of domain */
|
|
#define NPOLY 5 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 5 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 15 /* number of grid point for grid of disks */
|
|
#define NGRIDY 20 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -1.65
|
|
#define ISO_XSHIFT_RIGHT 0.4
|
|
#define ISO_YSHIFT_LEFT -0.05
|
|
#define ISO_YSHIFT_RIGHT -0.05
|
|
#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard in sub_wave.c */
|
|
|
|
/* Physical patameters of wave equation */
|
|
|
|
#define DT 0.0000012
|
|
|
|
#define VISCOSITY 2.0
|
|
|
|
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
|
|
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
|
|
|
|
#define EPSILON 0.8 /* time scale separation */
|
|
#define DELTA 0.1 /* time scale separation */
|
|
#define FHNA 1.0 /* parameter in FHN equation */
|
|
#define FHNC -0.01 /* parameter in FHN equation */
|
|
#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
|
|
#define K_COULOMB 0.5 /* constant in Coulomb potential */
|
|
#define V_MAZE 0.4 /* potential in walls of maze */
|
|
#define BZQ 0.0008 /* parameter in BZ equation */
|
|
#define BZF 1.2 /* parameter in BZ equation */
|
|
#define B_FIELD 10.0 /* magnetic field */
|
|
#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
|
|
#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 1 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.03 /* factor by which to smoothen */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
|
|
#define T_OUT 2.0 /* outside temperature */
|
|
#define T_IN 0.0 /* inside temperature */
|
|
#define SPEED 0.0 /* speed of drift to the right */
|
|
|
|
#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
|
|
#define NOISE_INTENSITY 0.005 /* noise intensity */
|
|
#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
|
|
#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
|
|
#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
|
|
|
|
#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
|
|
#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
|
|
#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
|
|
#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
|
|
#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
|
|
for numerical stability */
|
|
|
|
#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
|
|
#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
|
|
#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
|
|
#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 1
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 2650 /* number of frames of movie */
|
|
#define NVID 120 /* number of iterations between images displayed on screen */
|
|
#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
|
|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define BOUNDARY_WIDTH 5 /* width of billiard boundary */
|
|
|
|
#define PAUSE 100 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 2 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define INITIAL_TIME 0 /* initial still time */
|
|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
|
|
/* Visualisation */
|
|
|
|
#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 0 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 1 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 52
|
|
#define CPLOT_B 51
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 52 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 51 /* z coordinate in second 3D plot */
|
|
|
|
#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
|
|
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
|
|
#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
|
|
#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
|
|
#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 1 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant in front of added potential */
|
|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
|
|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
|
|
#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
|
|
#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
|
|
#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 50.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
|
|
#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
|
|
#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 0.75 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.0
|
|
#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
|
|
|
|
#define NXMAZE 7 /* width of maze */
|
|
#define NYMAZE 7 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 0 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OMEGA 0.005 /* frequency of periodic excitation */
|
|
#define COURANT 0.08 /* Courant number */
|
|
#define COURANTB 0.03 /* Courant number in medium B */
|
|
#define INITIAL_AMP 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
|
|
#define ACHIRP 0.2 /* acceleration coefficient in chirp */
|
|
#define DAMPING 0.0 /* damping of periodic excitation */
|
|
#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
|
|
#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
|
|
#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
|
|
/* end of constants added only for compatibility with wave_common.c */
|
|
|
|
|
|
double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
|
|
double v_3d[2] = {-0.75, -0.45};
|
|
double w_3d[2] = {0.0, 0.015};
|
|
double light[3] = {0.816496581, -0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
|
|
double observer[3] = {8.0, 8.0, 8.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define Z_SCALING_FACTOR 0.08 /* 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 -0.1 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
|
|
|
|
/* For debugging purposes only */
|
|
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
|
|
#define VMAX 10.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 2 December 22 - Deep inpact 5: Comparing a round and a rectangular obstacle ###
|
|
|
|
**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 3 /* factor of time-lapse movie */
|
|
#define TIME_LAPSE_FIRST 0 /* set to 1 to show time-lapse version first */
|
|
|
|
/* 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 -1.1
|
|
#define INITYMAX 0.15 /* y interval for initial condition */
|
|
|
|
#define BCXMIN -2.0
|
|
#define BCXMAX 2.0 /* x interval for boundary condition */
|
|
#define BCYMIN -1.125
|
|
#define BCYMAX 1.125 /* y interval for boundary condition */
|
|
|
|
#define OBSXMIN -2.0
|
|
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 3 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 1 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 19 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 2 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 2 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 1 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 0 /* shape of nozzle for second rocket, see list in global_ljones.c */
|
|
|
|
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
|
|
#define TPYE_PROPORTION 0.5 /* proportion of particles of first type */
|
|
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
|
|
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
|
|
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
|
|
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
|
|
|
|
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
|
|
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
|
|
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define PDISC_DISTANCE 3.0 /* minimal distance in Poisson disc process, controls density of particles */
|
|
#define PDISC_CANDIDATES 100 /* number of candidates in construction of Poisson disc process */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.3 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.009 /* parameter controlling radius of particles */
|
|
#define MU_B 0.018 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 25 /* number of sides of polygon */
|
|
#define APOLY 0.666666666 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define MDEPTH 4 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 90 /* number of grid point for grid of disks */
|
|
#define NGRIDY 100 /* number of grid point for grid of disks */
|
|
#define EHRENFEST_RADIUS 0.9 /* radius of container for Ehrenfest urn configuration */
|
|
#define EHRENFEST_WIDTH 0.035 /* width of tube for Ehrenfest urn configuration */
|
|
#define TWO_CIRCLES_RADIUS_RATIO 0.8 /* ratio of radii for S_TWO_CIRCLES_EXT segment configuration */
|
|
#define DAM_WIDTH 0.05 /* width of dam for S_DAM segment configuration */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1700 /* number of frames of movie */
|
|
#define NVID 100 /* number of iterations between images displayed on screen */
|
|
#define NSEG 250 /* number of segments of boundary */
|
|
#define INITIAL_TIME 250 /* time after which to start saving frames */
|
|
#define OBSTACLE_INITIAL_TIME 350 /* time after which to start moving obstacle */
|
|
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
|
|
#define LINK_WIDTH 2 /* width of links between particles */
|
|
#define CONTAINER_WIDTH 4 /* width of container boundary */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 1 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
|
|
/* Boundary conditions, see list in global_ljones.c */
|
|
|
|
#define BOUNDARY_COND 0
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 0
|
|
#define PLOT_B 8 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 0 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 1 /* set to 1 to fill triangles between neighbours */
|
|
#define ALTITUDE_LINES 0 /* set to 1 to add horizontal lines to show altitude */
|
|
#define COLOR_SEG_GROUPS 1 /* set to 1 to collor segment groups differently */
|
|
|
|
/* 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 3.0e2 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 70.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 .0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 210.0 /* hue of particles of type 3 */
|
|
|
|
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
|
|
#define DT_PARTICLE 3.0e-6 /* time step for particle displacement */
|
|
#define KREPEL 12.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 3.5 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 10.0 /* damping coefficient of particles */
|
|
#define INITIAL_DAMPING 35.0 /* damping coefficient of particles during initial phase */
|
|
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
|
|
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
|
|
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
|
|
#define V_INITIAL 0.0 /* initial velocity range */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
|
|
#define THERMOSTAT 0 /* set to 1 to switch on thermostat */
|
|
#define VARY_THERMOSTAT 0 /* set to 1 for time-dependent thermostat schedule */
|
|
#define SIGMA 5.0 /* noise intensity in thermostat */
|
|
#define BETA 0.02 /* initial inverse temperature */
|
|
#define MU_XI 0.01 /* friction constant in thermostat */
|
|
#define KSPRING_BOUNDARY 1.0e7 /* confining harmonic potential outside simulation region */
|
|
#define KSPRING_OBSTACLE 1.0e11 /* harmonic potential of obstacles */
|
|
#define NBH_DIST_FACTOR 7.5 /* radius in which to count neighbours */
|
|
#define GRAVITY 1500.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 0.0 /* horizontal gravity acting on all particles */
|
|
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
|
|
#define GRAVITY_SCHEDULE 2 /* type of gravity schedule, see list in global_ljones.c */
|
|
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
|
|
#define GRAVITY_INITIAL_TIME 200 /* time at start of simulation with constant gravity */
|
|
#define GRAVITY_RESTORE_TIME 700 /* time at end of simulation with gravity restored to initial value */
|
|
|
|
#define ROTATION 0 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 100.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
|
|
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
|
|
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
|
|
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
|
|
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
|
|
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
|
|
|
|
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
|
|
#define BETA_FACTOR 0.025 /* factor by which to change BETA during simulation */
|
|
#define N_TOSCILLATIONS 1.5 /* number of temperature oscillations in BETA schedule */
|
|
#define NO_OSCILLATION 1 /* set to 1 to have exponential BETA change only */
|
|
#define MIDDLE_CONSTANT_PHASE 1600 /* final phase in which temperature is constant */
|
|
#define FINAL_DECREASE_PHASE 1500 /* final phase in which temperature decreases */
|
|
#define FINAL_CONSTANT_PHASE -1 /* final phase in which temperature is constant */
|
|
|
|
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
|
|
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
|
|
#define COMPRESSION_RATIO 0.3 /* final size of container */
|
|
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
|
|
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
|
|
|
|
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
|
|
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
|
|
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
|
|
#define NTRIALS 2000 /* number of trials when resampling */
|
|
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
|
|
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
|
|
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
|
|
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
|
|
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
|
|
#define N_PRESSURES 100 /* number of intervals to record pressure */
|
|
#define N_P_AVERAGE 100 /* size of pressure averaging window */
|
|
#define N_T_AVERAGE 50 /* size of temperature averaging window */
|
|
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
|
|
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
|
|
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
|
|
#define PARTIAL_THERMO_SHIFT 0.2 /* distance from obstacle at the right of which particles are coupled to thermostat */
|
|
#define PARTIAL_THERMO_WIDTH 0.5 /* vertical size of partial thermostat coupling */
|
|
#define PARTIAL_THERMO_HEIGHT 0.2 /* vertical size of partial thermostat coupling */
|
|
|
|
#define INCREASE_KREPEL 0 /* set to 1 to increase KREPEL during simulation */
|
|
#define KREPEL_FACTOR 1000.0 /* factor by which to change KREPEL during simulation */
|
|
|
|
#define PART_AT_BOTTOM 0 /* set to 1 to include "seed" particles at bottom */
|
|
#define MASS_PART_BOTTOM 10000.0 /* mass of particles at bottom */
|
|
#define NPART_BOTTOM 100 /* number of particles at the bottom */
|
|
|
|
#define ADD_PARTICLES 0 /* set to 1 to add particles */
|
|
#define ADD_TIME 0 /* time at which to add first particle */
|
|
#define ADD_PERIOD 10000 /* time interval between adding further particles */
|
|
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
|
|
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
|
|
|
|
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
|
|
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
|
|
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
|
|
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
|
|
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
|
|
|
|
#define ROTATE_BOUNDARY 0 /* set to 1 to rotate the repelling segments */
|
|
#define SMOOTH_ROTATION 1 /* set to 1 to update segments at each time step (rather than at each movie frame) */
|
|
#define PERIOD_ROTATE_BOUNDARY 1000 /* period of rotating boundary */
|
|
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
|
|
#define ROTATE_FINAL_TIME 100 /* final time without rotation */
|
|
#define ROTATE_CHANGE_TIME 0.33 /* relative duration of acceleration/deceleration phases */
|
|
#define OMEGAMAX 100.0 /* maximal rotation speed */
|
|
#define PRINT_OMEGA 0 /* set to 1 to print angular speed */
|
|
#define PRINT_PARTICLE_SPEEDS 0 /* set to 1 to print average speeds/momenta of particles */
|
|
#define PRINT_SEGMENTS_SPEEDS 0 /* set to 1 to print velocity of moving segments */
|
|
|
|
#define MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
|
|
#define SEGMENTS_MASS 40.0 /* mass of collection of segments */
|
|
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
|
|
#define SEGMENT_DEACTIVATION_TIME 200 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 1 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 1.0 /* initial position of segments */
|
|
#define SEGMENTS_Y0 0.8 /* initial position of segments */
|
|
#define SEGMENTS_VX0 0.0 /* initial velocity of segments */
|
|
#define SEGMENTS_VY0 0.0 /* initial velocity of segments */
|
|
#define DAMP_SEGS_AT_NEGATIVE_Y 0 /* set to 1 to dampen segments when y coordinate is negative */
|
|
|
|
#define MOVE_SEGMENT_GROUPS 1 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 750.0 /* mass of segment group */
|
|
#define SEGMENT_GROUP_I 500.0 /* moment of inertia of segment group */
|
|
#define SEGMENT_GROUP_DAMPING 0.0 /* damping of segment groups */
|
|
#define GROUP_REPULSION 1 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 1.0e11 /* harmonic potential between segment groups */
|
|
#define GROUP_WIDTH 0.05 /* interaction width of groups */
|
|
#define GROUP_G_REPEL 0 /* set to 1 to add repulsion between centers of mass of groups */
|
|
#define GROUP_G_REPEL_RADIUS 1.2 /* radius within which centers of mass of groups repel each other */
|
|
#define TRACK_SEGMENT_GROUPS 0 /* set to 1 for view to track group of segments */
|
|
#define TRACK_X_PADDING 2.0 /* distance from x boundary where tracking starts */
|
|
|
|
#define POSITION_DEPENDENT_TYPE 0 /* set to 1 to make particle type depend on initial position */
|
|
#define POSITION_Y_DEPENDENCE 0 /* set to 1 for the separation between particles to be horizontal */
|
|
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
|
|
|
|
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
|
|
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
|
|
#define REACTION_PROB 0.0045 /* probability controlling reaction term */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
|
|
#define PLOT_SPEEDS 0 /* set to 1 to add a plot of obstacle speeds (e.g. for rockets) */
|
|
#define PLOT_TRAJECTORIES 0 /* set to 1 to add a plot of obstacle trajectories (e.g. for rockets) */
|
|
#define VMAX_PLOT_SPEEDS 0.6 /* vertical scale of plot of obstacle speeds */
|
|
|
|
#define EHRENFEST_COPY 0 /* set to 1 to add equal number of larger particles (for Ehrenfest model) */
|
|
|
|
#define LID_MASS 1000.0 /* mass of lid for BC_RECTANGLE_LID b.c. */
|
|
#define LID_WIDTH 0.1 /* width of lid for BC_RECTANGLE_LID b.c. */
|
|
#define WALL_MASS 2000.0 /* mass of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_FRICTION 0.0 /* friction on wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_WIDTH 0.1 /* width of wall for BC_RECTANGLE_WALL b.c. */
|
|
#define WALL_VMAX 100.0 /* max speed of wall */
|
|
#define WALL_TIME 0 /* time during which to keep wall */
|
|
|
|
#define NXMAZE 10 /* width of maze */
|
|
#define NYMAZE 10 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 200 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e12 /* maximal force */
|
|
#define FLOOR_OMEGA 0 /* set to 1 to limit particle momentum to PMAX */
|
|
#define PMAX 1000.0 /* maximal force */
|
|
|
|
#define HASHX 120 /* size of hashgrid in x direction */
|
|
#define HASHY 60 /* size of hashgrid in y direction */
|
|
#define HASHMAX 100 /* maximal number of particles per hashgrid cell */
|
|
#define HASHGRID_PADDING 0.1 /* padding of hashgrid outside simulation window */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 8.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 12.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
```
|
|
|
|
### 1 December 22 - 45 degrees are not always optimal: Solving a 16 by 32 maze with laser beams ###
|
|
|
|
**Program:** `particle_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_drop_config(-1.15, 0.01, 0.00*PI, 0.3*PI, configs);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
|
|
#define WINWIDTH 1280 /* window width */
|
|
#define WINHEIGHT 720 /* window height */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.125
|
|
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define SCALING_FACTOR 1.0 /* scaling factor of drawing, needed for flower billiards, otherwise set to 1.0 */
|
|
|
|
/* Choice of the billiard table, see global_particles.c */
|
|
|
|
#define B_DOMAIN 30 /* choice of domain shape */
|
|
|
|
#define CIRCLE_PATTERN 1 /* pattern of circles */
|
|
#define POLYLINE_PATTERN 10 /* pattern of polyline */
|
|
|
|
#define ABSORBING_CIRCLES 1 /* set to 1 for circular scatterers to be absorbing */
|
|
|
|
#define NMAXCIRCLES 100000 /* total number of circles (must be at least NCX*NCY for square grid) */
|
|
#define NMAXPOLY 100000 /* total number of sides of polygonal line */
|
|
#define NCX 30 /* number of circles in x direction */
|
|
#define NCY 20 /* number of circles in y direction */
|
|
#define NPOISSON 500 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define NGOLDENSPIRAL 2000 /* max number of points for C_GOLDEN_SPIRAL arrandement */
|
|
#define SDEPTH 1 /* Sierpinski gastket depth */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling shape of domain */
|
|
#define MU 0.5 /* second parameter controlling shape of billiard */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NPOLY 6 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define PENROSE_RATIO 2.5 /* parameter controlling the shape of small ellipses in Penrose room */
|
|
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw billiard */
|
|
#define DRAW_CONSTRUCTION_LINES 0 /* set to 1 to draw additional construction lines for billiard */
|
|
#define PERIODIC_BC 0 /* set to 1 to enforce periodic boundary conditions when drawing particles */
|
|
|
|
#define RESAMPLE 0 /* set to 1 if particles should be added when dispersion too large */
|
|
#define DEBUG 0 /* draw trajectories, for debugging purposes */
|
|
|
|
/* Simulation parameters */
|
|
|
|
#define NPART 10000 /* number of particles */
|
|
#define NPARTMAX 100000 /* maximal number of particles after resampling */
|
|
#define LMAX 0.01 /* minimal segment length triggering resampling */
|
|
#define DMIN 0.02 /* minimal distance to boundary for triggering resampling */
|
|
#define CYCLE 1 /* set to 1 for closed curve (start in all directions) */
|
|
#define SHOWTRAILS 1 /* set to 1 to keep trails of the particles */
|
|
#define SHOWZOOM 0 /* set to 1 to show zoom on specific area */
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print number of particles */
|
|
#define PRINT_LEFT_RIGHT_PARTICLE_NUMBER 1 /* set to 1 to print number of particles on left and right side */
|
|
#define PRINT_COLLISION_NUMBER 0 /* set to 1 to print number of collisions */
|
|
#define TEST_ACTIVE 1 /* set to 1 to test whether particle is in billiard */
|
|
|
|
#define TEST_INITIAL_COND 0 /* set to 1 to allow only initial conditions that pass a test */
|
|
|
|
#define NSTEPS 6000 /* number of frames of movie */
|
|
#define TIME 1500 /* time between movie frames, for fluidity of real-time simulation */
|
|
#define DPHI 0.00002 /* integration step */
|
|
#define NVID 25 /* number of iterations between images displayed on screen */
|
|
#define END_FRAMES 25 /* number of still frames at the end of the movie */
|
|
|
|
/* Decreasing TIME accelerates the animation and the movie */
|
|
/* For constant speed of movie, TIME*DPHI should be kept constant */
|
|
/* However, increasing DPHI too much deterioriates quality of simulation */
|
|
/* NVID tells how often a picture is drawn in the animation, increase it for faster anim */
|
|
/* For a good quality movie, take for instance TIME = 400, DPHI = 0.00005, NVID = 100 */
|
|
|
|
/* Colors and other graphical parameters */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define NCOLORS 500 /* number of colors */
|
|
#define COLORSHIFT 0 /* hue of initial color */
|
|
#define RAINBOW_COLOR 1 /* set to 1 to use different colors for all particles */
|
|
#define FLOWER_COLOR 0 /* set to 1 to adapt initial colors to flower billiard (tracks vs core) */
|
|
#define NSEG 100 /* number of segments of boundary */
|
|
#define LENGTH 0.04 /* length of velocity vectors */
|
|
#define BILLIARD_WIDTH 2 /* width of billiard */
|
|
#define PARTICLE_WIDTH 2 /* width of particles */
|
|
#define FRONT_WIDTH 3 /* width of wave front */
|
|
|
|
#define BLACK 1 /* set to 1 for black background */
|
|
#define COLOR_OUTSIDE 0 /* set to 1 for colored outside */
|
|
#define OUTER_COLOR 270.0 /* color outside billiard */
|
|
#define PAINT_INT 0 /* set to 1 to paint interior in other color (for polygon/Reuleaux) */
|
|
#define PAINT_EXT 1 /* set to 1 to paint exterior */
|
|
|
|
#define PAUSE 1000 /* number of frames after which to pause */
|
|
#define PSLEEP 2 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
|
|
#define NXMAZE 16 /* width of maze */
|
|
#define NYMAZE 32 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 1 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
|
|
```
|
|
|