8729 lines
487 KiB
Markdown
8729 lines
487 KiB
Markdown
### Parameter values for YouTube simulations ###
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Created by **Nils Berglund** and optimized by **Marco Mancini**
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C code for videos on YouTube Channel https://www.youtube.com/c/NilsBerglund
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Below are parameter values used for different simulations, as well as initial conditions used in
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function animation. Some simulations use variants of the published code. The list is going to be
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updated gradually.
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### 31 August 23 - Waves on a planet with a fractal archipelago ###
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**Program:** `rde.c`
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**Initial condition in function `animation()`:** `init_elliptical_vibration(0.0, 0.0, 0.0075, LAMBDA, 1.0, 0.0003, 0.1, 2.0, SWATER_MIN_HEIGHT, phi, xy_in);`
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```
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#define MOVIE 1 /* set to 1 to generate movie */
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#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
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#define SAVE_MEMORY 1 /* set to 1 to save memory when writing tiff images */
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#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1150 /* window height */
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#define NX 960 /* number of grid points on x axis */
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#define NY 575 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.197916667
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#define YMAX 1.197916667 /* y interval for 9/16 aspect ratio */
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/* Choice of simulated equation */
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#define RDE_EQUATION 8 /* choice of reaction term, see list in global_3d.c */
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#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
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#define NLAPLACIANS 0 /* number of fields for which to compute Laplacian */
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#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
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#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
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#define ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
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#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
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#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
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#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
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#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
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#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
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#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
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#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
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#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
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#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
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#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
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#define JULIA_SCALE 0.5 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
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#define MU 0.06 /* parameter controlling the dimensions of domain */
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#define NPOLY 5 /* number of sides of polygon */
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#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 7 /* depth of computation of Menger gasket */
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#define MRATIO 5 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 6 /* number of grid point for grid of disks */
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#define NGRIDY 8 /* number of grid point for grid of disks */
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#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking configuration */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -1.65
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#define ISO_XSHIFT_RIGHT 0.4
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#define ISO_YSHIFT_LEFT -0.05
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#define ISO_YSHIFT_RIGHT -0.05
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#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard in sub_wave.c */
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/* Physical parameters of wave equation */
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#define DT 0.00000025
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#define VISCOSITY 1.5e-5
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#define DISSIPATION 1.0e-8
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#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
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#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
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#define EPSILON 0.8 /* time scale separation */
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#define DELTA 0.1 /* time scale separation */
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#define FHNA 1.0 /* parameter in FHN equation */
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#define FHNC -0.01 /* parameter in FHN equation */
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#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
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#define K_COULOMB 0.5 /* constant in Coulomb potential */
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#define V_MAZE 0.4 /* potential in walls of maze */
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#define BZQ 0.0008 /* parameter in BZ equation */
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#define BZF 1.2 /* parameter in BZ equation */
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#define B_FIELD 10.0 /* magnetic field */
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#define G_FIELD 0.75 /* gravity */
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#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
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#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
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#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
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#define K_EULER_INC 0.5 /* constant in incompressible Euler equation */
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#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
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#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
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#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
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#define SMOOTH_FACTOR 0.15 /* factor by which to smoothen */
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#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
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#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */
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#define OSCILLATING_SOURCE_OMEGA 0.12 /* frequency of oscillating source */
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#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
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#define N_TRACERS 1000 /* number of tracer particles */
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#define TRACERS_STEP 0.005 /* step size in tracer evolution */
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#define T_OUT 2.0 /* outside temperature */
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#define T_IN 0.0 /* inside temperature */
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#define SPEED 0.0 /* speed of drift to the right */
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#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
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#define NOISE_INTENSITY 0.005 /* noise intensity */
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#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
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#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
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#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
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#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
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#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
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#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
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#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
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#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
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for numerical stability */
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#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
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#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
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#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
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#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
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#define CHANGE_FLOW_SPEED 0 /* set to 1 to change speed of laminar flow */
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#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
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#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
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#define BC_FLOW_TYPE 1 /* type of initial condition */
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/* see list in global_pdes.c */
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#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
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#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
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#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
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#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
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#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
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#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
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#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
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#define TANH_FACTOR 1.0 /* steepness of variable depth */
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#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 0
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#define B_COND_LEFT 0
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#define B_COND_RIGHT 0
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#define B_COND_TOP 0
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#define B_COND_BOTTOM 0
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/* Parameters for length and speed of simulation */
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#define NSTEPS 1400 /* number of frames of movie */
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#define NVID 45 /* number of iterations between images displayed on screen */
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#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
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#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
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#define MAX_DT 0.024 /* maximal value of integration step */
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#define NSEG 999 /* number of segments of boundary */
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#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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#define PAUSE 100 /* number of frames after which to pause */
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#define PSLEEP 2 /* sleep time during pause */
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#define SLEEP1 2 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define INITIAL_TIME 0 /* initial still time */
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#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 50 /* number of still frames at end of movie */
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#define FADE 1 /* set to 1 to fade at end of movie */
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/* Visualisation */
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#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
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#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
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#define ROTATE_ANGLE 180.0 /* total angle of rotation during simulation */
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#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
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/* Plot type - color scheme */
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#define CPLOT 70
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#define CPLOT_B 74
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/* Plot type - height of 3D plot */
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#define ZPLOT 70 /* z coordinate in 3D plot */
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#define ZPLOT_B 71 /* z coordinate in second 3D plot */
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#define AMPLITUDE_HIGH_RES 1 /* set to 1 to increase resolution of P_3D_AMPLITUDE plot */
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#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
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#define NON_DIRICHLET_BC 0 /* set to 1 to draw only facets in domain, if field is not zero on boundary */
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#define WRAP_ANGLE 1 /* experimental: wrap angle to [0, 2Pi) for interpolation in angle schemes */
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#define FADE_IN_OBSTACLE 0 /* set to 1 to fade color inside obstacles */
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#define FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
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#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
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#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
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#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
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#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
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#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
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#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
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#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
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#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
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#define PRINT_TIME 0 /* set to 1 to print running time */
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#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
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#define PRINT_RPSLZB 0 /* set to 1 to print rpslzb parameter */
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#define PRINT_PROBABILITIES 0 /* set to 1 to print probabilities (for Ehrenfest urn configuration) */
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#define PRINT_NOISE 0 /* set to 1 to print noise intensity */
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#define PRINT_FLOW_SPEED 0 /* set to 1 to print speed of flow */
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#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
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#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
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#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
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#define FIELD_LINE_WIDTH 1 /* width of field lines */
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#define N_FIELD_LINES 120 /* number of field lines */
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#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
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#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
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#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
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#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
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/* 3D representation */
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#define REPRESENTATION_3D 1 /* choice of 3D representation */
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#define REP_AXO_3D 0 /* linear projection (axonometry) */
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#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
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/* Color schemes, see list in global_pdes.c */
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#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* black background */
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#define COLOR_SCHEME 3 /* choice of color scheme */
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#define COLOR_PHASE_SHIFT 0.5 /* phase shift of color scheme, in units of Pi */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
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#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
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#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
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#define SLOPE_SCHROD_LUM 400.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
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#define MIN_SCHROD_LUM 0.2 /* minimal luminosity in color scheme Z_ARGUMENT*/
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#define VSCALE_PRESSURE 2.0 /* additional scaling factor for color scheme Z_EULER_PRESSURE */
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#define PRESSURE_SHIFT 10.0 /* shift for color scheme Z_EULER_PRESSURE */
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#define PRESSURE_LOG_SHIFT -2.5 /* shift for color scheme Z_EULER_PRESSURE */
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#define VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 359.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -359.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define E_SCALE 100.0 /* scaling factor for energy representation */
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#define FLUX_SCALE 100.0 /* scaling factor for energy representation */
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#define LOG_SCALE 0.5 /* scaling factor for energy log representation */
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#define LOG_SHIFT 1.0
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#define LOG_MIN 1.0e-3 /* floor value for log vorticity plot */
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#define VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
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#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
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#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
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#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
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#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
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#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
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#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
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#define VSCALE_SWATER 250.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
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#define NXMAZE 7 /* width of maze */
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#define NYMAZE 7 /* height of maze */
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#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
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#define RAND_SHIFT 3 /* seed of random number generator */
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#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
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#define MAZE_WIDTH 0.04 /* half width of maze walls */
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 2.5 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
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#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
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/* only for compatibility with wave_common.c */
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#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
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#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
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#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
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#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
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#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
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#define OMEGA 0.005 /* frequency of periodic excitation */
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#define COURANT 0.08 /* Courant number */
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#define COURANTB 0.03 /* Courant number in medium B */
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#define INITIAL_AMP 0.5 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.0002 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
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#define VSCALE_ENERGY 200.0 /* additional scaling factor for color scheme P_3D_ENERGY */
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#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
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#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
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#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
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#define AMPLITUDE 0.8 /* amplitude of periodic excitation */
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#define ACHIRP 0.2 /* acceleration coefficient in chirp */
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#define DAMPING 0.0 /* damping of periodic excitation */
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#define COMPARISON 0 /* set to 1 to compare two different patterns (beta) */
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#define B_DOMAIN_B 20 /* second domain shape, for comparisons */
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#define CIRCLE_PATTERN_B 0 /* second pattern of circles or polygons */
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#define FLUX_WINDOW 20 /* averaging window for energy flux */
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#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
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#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
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#define N_WAVE_PACKETS 15 /* number of wave packets */
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#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
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#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
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#define DRAW_WAVE_PROFILE 1 /* set to 1 to draw a profile of the wave */
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/* end of constants added only for compatibility with wave_common.c */
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double u_3d[2] = {0.75, -0.45}; /* projections of basis vectors for REP_AXO_3D representation */
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double v_3d[2] = {-0.75, -0.45};
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double w_3d[2] = {0.0, 0.015};
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double light[3] = {0.816496581, 0.40824829, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
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double observer[3] = {8.0, 8.0, 7.0}; /* location of observer for REP_PROJ_3D representation */
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int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
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#define Z_SCALING_FACTOR 150.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* 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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 30 August 23 - Waves with octahedral symmetry on the sphere ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
init_wave_flat_sphere(phi, psi, xy_in, wsphere);
|
|
|
|
theta = asin(1.0/sqrt(3.0));
|
|
for (j=0; j<4; j++)
|
|
{
|
|
if (j%2 == 0) amp = 1.0;
|
|
else amp = -1.0;
|
|
add_circular_wave_sphere(amp,((double)j+0.5)*PID, theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(-amp,((double)j+0.5)*PID, -theta, phi, psi, xy_in, wsphere);
|
|
}
|
|
```
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 32 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3900 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 0.05 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 103 /* wave height */
|
|
#define CPLOT 103 /* color scheme */
|
|
|
|
#define ZPLOT_B 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* 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 900.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 12 /* 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_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 4.0 /* 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 150.0 /* 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 2000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 3.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.03 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 29 August 23 - A granular material flowing towards the back of a wedge: dislocations and mixing ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 22 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define AWEDGE 0.5 /* opening angle of wedge, 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2600 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 15
|
|
#define PLOT_B 11 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 0.666666667 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 28 August 23 - Simulation of a meteor impact in the Atlantic Ocean ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_wave_sphere(0.7, 0.5, phi, psi, xy_in, wsphere);`
|
|
|
|
```
|
|
#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 2560 /* number of grid points on x axis */
|
|
#define NY 1280 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 20 /* safety distance to poles */
|
|
#define SMOOTHPOLE 0.1 /* smoothing coefficient at poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.25 /* scaling for Julia sets */
|
|
#define JULIA_RE -0.77145
|
|
#define JULIA_IM -0.10295 /* parameters for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 84 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 33 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3600 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* sleep time during pause */
|
|
#define SLEEP1 1 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
|
|
#define MID_FRAMES 100 /* number of still frames between parts of two-part movie */
|
|
#define END_FRAMES 100 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
|
|
#define ROTATE_VIEW_WHILE_FADE 1 /* set to 1 to keep rotating viewpoint during fade */
|
|
|
|
/* Parameters of initial condition */
|
|
|
|
#define INITIAL_AMP 0.75 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.025 /* 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 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* 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 11 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#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 10.0 /* 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 600.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 5.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#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 2.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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] = {6.0, 8.0, 2.5}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.01 /* scaling factor of radial component */
|
|
#define RMAX 10.0 /* max value of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 26 August 23 - Bragg diffraction on a square lattice ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#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 */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
/* 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 -0.397916667
|
|
#define YMAX 1.997916667 /* 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 20 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 103 /* 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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.005 /* 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 60 /* number of grid point for grid of disks */
|
|
#define NGRIDY 10 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.024 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 1.0 /* 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 0.01 /* 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 */
|
|
#define OSCIL_LEFT_YSHIFT -400.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 3600 /* number of frames of movie */
|
|
#define NVID 7 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 700 /* 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 PRINT_FREQUENCY 0 /* print frequency (for phased array) */
|
|
|
|
#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 2.0 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.000025 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* 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 18 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 12 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define 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 50.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.5 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 5.0e3 /* 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 1.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 0.4 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define DRAW_WAVE_PROFILE 1 /* set to 1 to draw a profile of the wave */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#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_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
/* 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 */
|
|
|
|
```
|
|
|
|
### 25 August 23 - A granular material flowing towards the tip of a wedge: dislocations and mixing ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 22 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define AWEDGE 0.5 /* opening angle of wedge, 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2600 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 15
|
|
#define PLOT_B 11 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 0 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 0.666666667 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 24 August 23 - Waves on a planet with a fractal continent ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
init_circular_wave_sphere(PID, 0.5, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(-1.0, 3.0*PID, 0.5, phi, psi, xy_in, wsphere);
|
|
```
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
#define SMOOTHPOLE 0.3 /* smoothing coefficient at poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
#define JULIA_RE 0.37468
|
|
#define JULIA_IM 0.21115 /* parameters for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 82 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 33 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3850 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 0.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 103 /* wave height */
|
|
#define CPLOT 103 /* color scheme */
|
|
|
|
#define ZPLOT_B 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* 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 1080.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 10.0 /* 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 1200.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#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 2.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.05 /* scaling factor of radial component */
|
|
#define RMAX 10.0 /* max value of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 23 August 23 - A granular material flowing towards the back of a wedge ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 22 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 0.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define AWEDGE 0.5 /* opening angle of wedge, 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2600 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 14
|
|
#define PLOT_B 13 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 0.666666667 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 22 August 23 - Faraday waves in a container vibrating at period 3 ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
init_elliptical_vibration(0.0, 0.0, 0.01, LAMBDA, 1.0, 0.0004, 0.1, 3.0, SWATER_MIN_HEIGHT, phi, xy_in);
|
|
|
|
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 0))
|
|
{
|
|
phase = (double)i*OSCILLATING_SOURCE_OMEGA;
|
|
add_elliptical_vibration(0.0, 0.0, 0.0001*cos(phase), LAMBDA, 1.0, 0.00006*cos(phase), 0.1, 3.0, SWATER_MIN_HEIGHT, 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 */
|
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|
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#define WINWIDTH 1920 /* window width */
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#define WINHEIGHT 1150 /* window height */
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#define NX 960 /* number of grid points on x axis */
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#define NY 575 /* number of grid points on y axis */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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#define YMIN -1.197916667
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#define YMAX 1.197916667 /* y interval for 9/16 aspect ratio */
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/* Choice of simulated equation */
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#define RDE_EQUATION 8 /* choice of reaction term, see list in global_3d.c */
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#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
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#define NLAPLACIANS 0 /* number of fields for which to compute Laplacian */
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#define ADD_POTENTIAL 0 /* set to 1 to add a potential (for Schrodinger equation) */
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#define ADD_MAGNETIC_FIELD 0 /* set to 1 to add a magnetic field (for Schrodinger equation) - then set POTENTIAL 1 */
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#define ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
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#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
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#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
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#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
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#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
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#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
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#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
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#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
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#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
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#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
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#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
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#define JULIA_SCALE 0.5 /* scaling for Julia sets */
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/* Choice of the billiard table */
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#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
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#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
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#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 0.06 /* parameter controlling the dimensions of domain */
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#define NPOLY 5 /* number of sides of polygon */
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#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
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#define MDEPTH 7 /* depth of computation of Menger gasket */
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#define MRATIO 5 /* ratio defining Menger gasket */
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#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
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#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
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#define FOCI 1 /* set to 1 to draw focal points of ellipse */
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#define NGRIDX 6 /* number of grid point for grid of disks */
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#define NGRIDY 8 /* number of grid point for grid of disks */
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#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking configuration */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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#define X_TARGET 0.4
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#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
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#define ISO_XSHIFT_LEFT -1.65
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#define ISO_XSHIFT_RIGHT 0.4
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#define ISO_YSHIFT_LEFT -0.05
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#define ISO_YSHIFT_RIGHT -0.05
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#define ISO_SCALE 0.85 /* coordinates for isospectral billiards */
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/* You can add more billiard tables by adapting the functions */
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/* xy_in_billiard and draw_billiard in sub_wave.c */
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/* Physical parameters of wave equation */
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#define DT 0.00000025
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#define VISCOSITY 1.5e-5
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#define DISSIPATION 1.0e-8
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#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
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#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
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#define EPSILON 0.8 /* time scale separation */
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#define DELTA 0.1 /* time scale separation */
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#define FHNA 1.0 /* parameter in FHN equation */
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#define FHNC -0.01 /* parameter in FHN equation */
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#define K_HARMONIC 1.0 /* spring constant of harmonic potential */
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#define K_COULOMB 0.5 /* constant in Coulomb potential */
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#define V_MAZE 0.4 /* potential in walls of maze */
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#define BZQ 0.0008 /* parameter in BZ equation */
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#define BZF 1.2 /* parameter in BZ equation */
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#define B_FIELD 10.0 /* magnetic field */
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#define G_FIELD 0.75 /* gravity */
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#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
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#define AB_RADIUS 0.2 /* radius of region with magnetic field for Aharonov-Bohm effect */
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#define K_EULER 50.0 /* constant in stream function integration of Euler equation */
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#define K_EULER_INC 0.5 /* constant in incompressible Euler equation */
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#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
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#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
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#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
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#define SMOOTH_FACTOR 0.15 /* factor by which to smoothen */
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#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
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#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */
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#define OSCILLATING_SOURCE_OMEGA 0.12 /* frequency of oscillating source */
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#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
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#define N_TRACERS 1000 /* number of tracer particles */
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#define TRACERS_STEP 0.005 /* step size in tracer evolution */
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#define T_OUT 2.0 /* outside temperature */
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#define T_IN 0.0 /* inside temperature */
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#define SPEED 0.0 /* speed of drift to the right */
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#define ADD_NOISE 0 /* set to 1 to add noise, set to 2 to add noise in right half */
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#define NOISE_INTENSITY 0.005 /* noise intensity */
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#define CHANGE_NOISE 1 /* set to 1 to increase noise intensity */
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#define NOISE_FACTOR 40.0 /* factor by which to increase noise intensity */
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#define NOISE_INITIAL_TIME 100 /* initial time during which noise remains constant */
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|
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#define CHANGE_VISCOSITY 0 /* set to 1 to change the viscosity in the course of the simulation */
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#define ADJUST_INTSTEP 0 /* set to 1 to decrease integration step when viscosity increases */
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#define VISCOSITY_INITIAL_TIME 10 /* initial time during which viscosity remains constant */
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#define VISCOSITY_FACTOR 100.0 /* factor by which to change viscosity */
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#define VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase,
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for numerical stability */
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#define CHANGE_RPSLZB 0 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
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#define RPSLZB_CHANGE 0.75 /* factor by which to rpslzb parameter */
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#define RPSLZB_INITIAL_TIME 0 /* initial time during which rpslzb remains constant */
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#define RPSLZB_FINAL_TIME 500 /* final time during which rpslzb remains constant */
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#define CHANGE_FLOW_SPEED 0 /* set to 1 to change speed of laminar flow */
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|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
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|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
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#define BC_FLOW_TYPE 1 /* type of initial condition */
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/* see list in global_pdes.c */
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#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
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#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
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#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
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#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
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#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
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#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
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#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
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#define TANH_FACTOR 1.0 /* steepness of variable depth */
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#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 0
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#define B_COND_LEFT 0
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#define B_COND_RIGHT 0
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#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
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|
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|
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/* Parameters for length and speed of simulation */
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#define NSTEPS 1500 /* number of frames of movie */
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#define NVID 45 /* number of iterations between images displayed on screen */
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#define ACCELERATION_FACTOR 1.0 /* factor by which to increase NVID in course of simulation */
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|
#define DT_ACCELERATION_FACTOR 1.0 /* factor by which to increase time step in course of simulation */
|
|
#define MAX_DT 0.024 /* maximal value of integration step */
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#define NSEG 999 /* number of segments of boundary */
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|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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|
|
#define PAUSE 100 /* number of frames after which to pause */
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#define PSLEEP 2 /* sleep time during pause */
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#define SLEEP1 2 /* initial sleeping time */
|
|
#define SLEEP2 1 /* final sleeping time */
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|
#define INITIAL_TIME 0 /* initial still time */
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|
#define MID_FRAMES 50 /* number of still frames between parts of two-part movie */
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|
#define END_FRAMES 50 /* number of still frames at end of movie */
|
|
#define FADE 1 /* set to 1 to fade at end of movie */
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|
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/* Visualisation */
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|
|
#define PLOT_3D 1 /* controls whether plot is 2D or 3D */
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|
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#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
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#define ROTATE_ANGLE 180.0 /* total angle of rotation during simulation */
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|
|
#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
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|
|
/* Plot type - color scheme */
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|
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#define CPLOT 70
|
|
#define CPLOT_B 74
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|
|
/* Plot type - height of 3D plot */
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|
|
#define ZPLOT 70 /* z coordinate in 3D plot */
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|
#define ZPLOT_B 71 /* z coordinate in second 3D plot */
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|
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#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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
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|
|
|
#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
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|
|
|
#define PRINT_TIME 0 /* set to 1 to print running time */
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#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) */
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|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
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|
|
|
#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 0 /* Color palette, see list in global_pdes.c */
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|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.5 /* phase shift of color scheme, in units of Pi */
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|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 400.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 500.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 150.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* 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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 21 August 23 - Energy flux of waves with dodecahedral symmetry ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
for (j=0; j<3; j++)
|
|
{
|
|
a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[4].x + circ_sphere[8].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[4].y + circ_sphere[8].y;
|
|
c = 1.0 + circ_sphere[1].z + circ_sphere[2].z + circ_sphere[4].z + circ_sphere[8].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
|
|
a = circ_sphere[4].x + circ_sphere[8].x + circ_sphere[10].x + circ_sphere[13].x + circ_sphere[16].x;
|
|
b = circ_sphere[4].y + circ_sphere[8].y + circ_sphere[10].y + circ_sphere[13].y + circ_sphere[16].y;
|
|
c = circ_sphere[4].z + circ_sphere[8].z + circ_sphere[10].z + circ_sphere[13].z + circ_sphere[16].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
}
|
|
```
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 30 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 2700 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 0.15 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 112 /* wave height */
|
|
#define CPLOT 113 /* color scheme */
|
|
|
|
#define ZPLOT_B 112
|
|
#define CPLOT_B 113 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 0 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 2.5 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 200.0 /* 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 2000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 5.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 1 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.03 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 19 August 23 - A granular material flowing towards the tip of a wedge ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 22 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
|
|
#define AWEDGE 0.5 /* opening angle of wedge, 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2600 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 14
|
|
#define PLOT_B 13 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 0 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 0.666666667 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 18 August 23 - Waves with icosahedral symmetry on the sphere ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
init_wave_flat_sphere(phi, psi, xy_in, wsphere);
|
|
|
|
for (j=0; j<5; j++)
|
|
{
|
|
a = circ_sphere[1].x + circ_sphere[2].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y;
|
|
c = 1.0 + circ_sphere[1].z + circ_sphere[2].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/5.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/5.0 + PI/5.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
|
|
a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[6].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[6].y;
|
|
c = circ_sphere[1].z + circ_sphere[2].z + circ_sphere[6].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/5.0 + PI/5.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/5.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
}
|
|
```
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 31 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3500 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 0.15 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.001 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.1 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 103 /* wave height */
|
|
#define CPLOT 103 /* color scheme */
|
|
|
|
#define ZPLOT_B 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 17 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 0.75 /* 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 200.0 /* 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 4000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 5.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.03 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 17 August 23 - Faraday waves in a vibrating container ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
```
|
|
init_elliptical_vibration(0.0, 0.0, 0.005, LAMBDA, 1.0, 0.0002, 0.1, 12.0, SWATER_MIN_HEIGHT, phi, xy_in);
|
|
|
|
if ((ADD_OSCILLATING_SOURCE)&&(i%OSCILLATING_SOURCE_PERIOD == 0))
|
|
{
|
|
phase = (double)i*OSCILLATING_SOURCE_OMEGA;
|
|
printf("Adding vibration with phase %.3lg\n", phase);
|
|
add_elliptical_vibration(0.0, 0.0, 0.00005*cos(phase), LAMBDA, 1.0, 0.000003*cos(phase), 0.1, 12.0, SWATER_MIN_HEIGHT, 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 8 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 0 /* 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 ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
|
|
#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
|
|
#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
|
|
#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
|
|
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
|
|
#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
|
|
#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.06 /* 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 6 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */
|
|
|
|
#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 parameters of wave equation */
|
|
|
|
#define DT 0.00000025
|
|
|
|
#define VISCOSITY 1.5e-5
|
|
#define DISSIPATION 1.0e-8
|
|
|
|
#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 G_FIELD 0.75 /* gravity */
|
|
#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
|
|
#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 K_EULER_INC 0.5 /* constant in incompressible Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.15 /* factor by which to smoothen */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 1 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */
|
|
#define OSCILLATING_SOURCE_OMEGA 0.12 /* frequency of oscillating source */
|
|
|
|
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
|
|
#define N_TRACERS 1000 /* number of tracer particles */
|
|
#define TRACERS_STEP 0.005 /* step size in tracer evolution */
|
|
|
|
#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 */
|
|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
|
|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
|
#define BC_FLOW_TYPE 1 /* type of initial condition */
|
|
/* see list in global_pdes.c */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
|
|
#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
|
|
#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
|
|
#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
|
|
#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
|
|
|
|
#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
|
|
#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
|
|
#define TANH_FACTOR 1.0 /* steepness of variable depth */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 0
|
|
|
|
#define B_COND_LEFT 0
|
|
#define B_COND_RIGHT 0
|
|
#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|
#define NVID 45 /* 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 999 /* 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 1 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 180.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 70
|
|
#define CPLOT_B 74
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 70 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 71 /* 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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
|
|
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.5 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 200.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 500.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 150.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.5 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* 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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 16 August 23 - Bragg diffraction seen from a larger distance - with a plot of the wave profile ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#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 */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
|
|
/* 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 -0.397916667
|
|
#define YMAX 1.997916667 /* 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 20 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 102 /* 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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.005 /* 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 60 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.024 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 1.0 /* 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 0.01 /* 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 */
|
|
#define OSCIL_LEFT_YSHIFT -400.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 3200 /* number of frames of movie */
|
|
#define NVID 7 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 700 /* 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 PRINT_FREQUENCY 0 /* print frequency (for phased array) */
|
|
|
|
#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 2.0 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.000025 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* 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 18 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 12 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define 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 50.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.5 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 5.0e3 /* 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 1.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 0.4 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define DRAW_WAVE_PROFILE 1 /* set to 1 to draw a profile of the wave */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#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_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
/* 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 August 23 - The unjamming transition ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 21 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.5 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.018 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 0.25 /* 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 3500 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 13
|
|
#define PLOT_B 14 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 1 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 0.666666667 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 14 August 23 - Waves with dodecahedral symmetry on the sphere ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:**
|
|
|
|
```
|
|
for (j=0; j<3; j++)
|
|
{
|
|
a = circ_sphere[1].x + circ_sphere[2].x + circ_sphere[4].x + circ_sphere[8].x;
|
|
b = circ_sphere[1].y + circ_sphere[2].y + circ_sphere[4].y + circ_sphere[8].y;
|
|
c = 1.0 + circ_sphere[1].z + circ_sphere[2].z + circ_sphere[4].z + circ_sphere[8].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
|
|
a = circ_sphere[4].x + circ_sphere[8].x + circ_sphere[10].x + circ_sphere[13].x + circ_sphere[16].x;
|
|
b = circ_sphere[4].y + circ_sphere[8].y + circ_sphere[10].y + circ_sphere[13].y + circ_sphere[16].y;
|
|
c = circ_sphere[4].z + circ_sphere[8].z + circ_sphere[10].z + circ_sphere[13].z + circ_sphere[16].z;
|
|
theta = acos(c/sqrt(a*a + b*b + c*c));
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0, PID - theta, phi, psi, xy_in, wsphere);
|
|
add_circular_wave_sphere(1.0,(double)j*DPI/3.0 + PI/3.0, theta - PID, phi, psi, xy_in, wsphere);
|
|
}
|
|
```
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 30 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3200 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 0.15 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0005 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define ZPLOT 103 /* wave height */
|
|
#define CPLOT 103 /* color scheme */
|
|
|
|
#define ZPLOT_B 108
|
|
#define CPLOT_B 108 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|
// #define ROTATE_ANGLE 45.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 15 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 1.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 2.5 /* additional scaling factor for color scheme P_3D_ENERGY */
|
|
#define PHASE_FACTOR 20.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 200.0 /* 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 4000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
|
|
#define COLORBAR_RANGE 3.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 5.0 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#define ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.03 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 12 August 23 - Waves on a dodecahedron ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_wave_sphere(PI/3.0, 0.05*PI, phi, psi, xy_in, wsphere);`
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 81 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 30 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.1 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 4500 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 1.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* 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 106
|
|
#define CPLOT_B 106 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* vertical scaling in log energy plot */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 540.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#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 2.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 0.75 /* 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 10.0 /* 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 4000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#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 0.25 /* 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 ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.03 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 11 August 23 - Crossing the jamming transition ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 1 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* pattern of obstacles, see list in global_ljones.c */
|
|
|
|
#define ADD_FIXED_SEGMENTS 0 /* set to 1 to add fixed segments as obstacles */
|
|
#define SEGMENT_PATTERN 21 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.5 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.012 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 0.25 /* 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 3500 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 13
|
|
#define PLOT_B 14 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 17 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 1 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define CHANGE_RADIUS 1 /* set to 1 to change particle radius during simulation */
|
|
#define MU_RATIO 1.5 /* ratio by which to increase radius */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 10 August 23 - Bragg diffraction on a denser lattice ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#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 */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
|
|
/* 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 -0.797916667
|
|
#define YMAX 1.597916667 /* 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 20 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 101 /* 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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.1197916667 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.01 /* 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 60 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.012 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 1.0 /* 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 0.01 /* 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 */
|
|
#define OSCIL_LEFT_YSHIFT -200.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 3200 /* number of frames of movie */
|
|
#define NVID 7 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
|
|
#define PRINT_SPEED 0 /* print speed of moving source */
|
|
#define PRINT_FREQUENCY 0 /* print frequency (for phased array) */
|
|
|
|
#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 2.0 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.000025 /* variance of initial condition */
|
|
#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
|
|
|
|
/* Plot type, see list in global_pdes.c */
|
|
|
|
#define PLOT 0
|
|
|
|
#define PLOT_B 5 /* plot type for second movie */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
|
|
#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define E_SCALE 100.0 /* scaling factor for energy representation */
|
|
#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
|
|
#define LOG_SHIFT 1.5 /* shift of colors on log scale */
|
|
#define FLUX_SCALE 5.0e3 /* 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 2.0 /* scale of color scheme bar */
|
|
#define COLORBAR_RANGE_B 0.8 /* scale of color scheme bar for 2nd part */
|
|
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
|
|
#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
|
|
|
|
#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_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
/* 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 */
|
|
|
|
```
|
|
|
|
### 9 August 23 - Faraday waves (short version, velocity/amplitude) ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_elliptical_vibration(0.0, 0.0, 0.01, LAMBDA, 1.0, 0.0005, 0.1, 12.0, SWATER_MIN_HEIGHT, 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 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 1150 /* window width */
|
|
#define WINHEIGHT 1150 /* window height */
|
|
#define NX 575 /* number of grid points on x axis */
|
|
#define NY 575 /* number of grid points on y axis */
|
|
|
|
#define XMIN -1.2
|
|
#define XMAX 1.2 /* x interval */
|
|
#define YMIN -1.2
|
|
#define YMAX 1.2 /* y interval for 9/16 aspect ratio */
|
|
|
|
/* Choice of simulated equation */
|
|
|
|
#define RDE_EQUATION 8 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 0 /* 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 ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
|
|
#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
|
|
#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
|
|
#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
|
|
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
|
|
// #define BC_STIFFNESS 100.0 /* controls region of boundary condition control */
|
|
#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
|
|
#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.06 /* 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 6 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */
|
|
|
|
#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 parameters of wave equation */
|
|
|
|
#define DT 0.00000025
|
|
|
|
#define VISCOSITY 1.5e-5
|
|
#define DISSIPATION 1.0e-8
|
|
|
|
#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 G_FIELD 0.75 /* gravity */
|
|
#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
|
|
#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 K_EULER_INC 0.5 /* constant in incompressible Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.15 /* 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 TRACERS_STEP 0.005 /* step size in tracer evolution */
|
|
|
|
#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 */
|
|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
|
|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
|
#define BC_FLOW_TYPE 1 /* type of initial condition */
|
|
/* see list in global_pdes.c */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
|
|
#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
|
|
#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
|
|
#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
|
|
#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
|
|
|
|
#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
|
|
#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
|
|
#define TANH_FACTOR 1.0 /* steepness of variable depth */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 0
|
|
|
|
#define B_COND_LEFT 0
|
|
#define B_COND_RIGHT 0
|
|
#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
|
|
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 300 /* number of frames of movie */
|
|
#define NVID 160 /* 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 999 /* 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 1 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 180.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 74
|
|
#define CPLOT_B 70
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 71 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 70 /* 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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
|
|
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#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 0.5 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 200.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 500.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* 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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 100.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
```
|
|
#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 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 1150 /* window width */
|
|
#define WINHEIGHT 1150 /* window height */
|
|
#define NX 575 /* number of grid points on x axis */
|
|
#define NY 575 /* number of grid points on y axis */
|
|
|
|
#define XMIN -1.2
|
|
#define XMAX 1.2 /* x interval */
|
|
#define YMIN -1.2
|
|
#define YMAX 1.2 /* y interval for 9/16 aspect ratio */
|
|
|
|
/* Choice of simulated equation */
|
|
|
|
#define RDE_EQUATION 8 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 0 /* 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 ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
|
|
#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
|
|
#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
|
|
#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
|
|
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
|
|
#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
|
|
#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.06 /* 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 6 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */
|
|
|
|
#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 parameters of wave equation */
|
|
|
|
#define DT 0.00000025
|
|
|
|
#define VISCOSITY 1.5e-5
|
|
#define DISSIPATION 1.0e-8
|
|
|
|
#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 G_FIELD 0.75 /* gravity */
|
|
#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
|
|
#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 K_EULER_INC 0.5 /* constant in incompressible Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.15 /* 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 TRACERS_STEP 0.005 /* step size in tracer evolution */
|
|
|
|
#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 */
|
|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
|
|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
|
#define BC_FLOW_TYPE 1 /* type of initial condition */
|
|
/* see list in global_pdes.c */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
|
|
#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
|
|
#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
|
|
#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
|
|
#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
|
|
|
|
#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
|
|
#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
|
|
#define TANH_FACTOR 1.0 /* steepness of variable depth */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 0
|
|
|
|
#define B_COND_LEFT 0
|
|
#define B_COND_RIGHT 0
|
|
#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 300 /* number of frames of movie */
|
|
#define NVID 160 /* 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 999 /* 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 1 /* controls whether plot is 2D or 3D */
|
|
|
|
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
|
|
#define ROTATE_ANGLE 180.0 /* total angle of rotation during simulation */
|
|
|
|
#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 70
|
|
#define CPLOT_B 74
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 70 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 71 /* 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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
|
|
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 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 0.5 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 200.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 500.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#define DRAW_COLOR_SCHEME 0 /* 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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 100.0 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.1 /* overall y shift for REP_PROJ_3D representation */
|
|
#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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
```
|
|
|
|
### 8 August 23 - A granular material flowing around a square ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 21 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.5 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 4 /* number of sides of polygon */
|
|
#define APOLY 0.25 /* 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2200 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 13
|
|
#define PLOT_B 14 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_DIRECTION 0 /* Color palette for direction representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
#define COLOR_HUESHIFT 0.5 /* shift in color hue (for some cyclic palettes) */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 7 August 23 - A meteor impact on a planet with two polar caps ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_wave_sphere(PID, 0.15*PI, phi, psi, xy_in, wsphere);`
|
|
|
|
```
|
|
#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 2000 /* number of grid points on x axis */
|
|
#define NY 1000 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 80 /* 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.75 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.035 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 5450 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 1.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* 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 106
|
|
#define CPLOT_B 106 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* 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 660.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 14 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* background */
|
|
#define COLOR_OUT_R 1.0 /* color outside domain */
|
|
#define COLOR_OUT_G 1.0
|
|
#define COLOR_OUT_B 1.0
|
|
|
|
#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 2.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 0.75 /* 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 10.0 /* 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 4000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#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 0.25 /* 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 ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.02 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
#define COS_VISIBLE -0.75 /* limit on cosine of normal to shown facets */
|
|
|
|
```
|
|
|
|
### 5 August 23 - Faraday waves in an elliptical bucket ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_elliptical_vibration(0.0, 0.0, 0.015, LAMBDA, 1.0, 0.001, 0.1, 14.0, SWATER_MIN_HEIGHT, 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 8 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 0 /* 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 ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
|
|
#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
|
|
#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
|
|
#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
|
|
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
|
|
#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
|
|
#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.5 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.06 /* 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 6 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */
|
|
|
|
#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 parameters of wave equation */
|
|
|
|
#define DT 0.00000025
|
|
|
|
#define VISCOSITY 1.5e-5
|
|
#define DISSIPATION 1.0e-8
|
|
|
|
#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 G_FIELD 0.75 /* gravity */
|
|
#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
|
|
#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 K_EULER_INC 0.5 /* constant in incompressible Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.15 /* 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 TRACERS_STEP 0.005 /* step size in tracer evolution */
|
|
|
|
#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 */
|
|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
|
|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
|
#define BC_FLOW_TYPE 1 /* type of initial condition */
|
|
/* see list in global_pdes.c */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
|
|
#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
|
|
#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
|
|
#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
|
|
#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
|
|
|
|
#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
|
|
#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
|
|
#define TANH_FACTOR 1.0 /* steepness of variable depth */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 0
|
|
|
|
#define B_COND_LEFT 0
|
|
#define B_COND_RIGHT 0
|
|
#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
|
|
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1560 /* number of frames of movie */
|
|
#define NVID 45 /* 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 999 /* 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 1 /* 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 0 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 70
|
|
#define CPLOT_B 74
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 70 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 71 /* 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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
|
|
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#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 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 0.5 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 200.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 500.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 75.0 /* 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 0.0 /* 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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 4 August 23 - A granular material flowing around a triangle ###
|
|
|
|
**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 SAVE_MEMORY 1 /* set to 1 to save memory while saving frames */
|
|
#define NO_EXTRA_BUFFER_SWAP 1 /* some OS require one less buffer swap when recording images */
|
|
|
|
#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 1 /* set to 1 to show time-lapse version first */
|
|
|
|
#define SAVE_TIME_SERIES 0 /* 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 -2.0
|
|
#define INITXMAX 2.0 /* x interval for initial condition */
|
|
#define INITYMIN -1.1
|
|
#define INITYMAX 1.1 /* y interval for initial condition */
|
|
|
|
#define ADDXMIN -1.97
|
|
#define ADDXMAX -0.8 /* x interval for adding particles */
|
|
#define ADDYMIN -1.125
|
|
#define ADDYMAX 1.125 /* y interval for adding particles */
|
|
|
|
|
|
#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_INITIAL_PARTICLES 0 /* set to 1 to add a second type of particles */
|
|
#define CIRCLE_PATTERN_B 1 /* pattern of circles for additional particles */
|
|
|
|
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
|
|
#define OBSTACLE_PATTERN 5 /* 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 21 /* pattern of repelling segments, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE 3 /* shape of rocket combustion chamber, see list in global_ljones.c */
|
|
#define ROCKET_SHAPE_B 3 /* shape of second rocket */
|
|
#define NOZZLE_SHAPE 6 /* shape of nozzle, see list in global_ljones.c */
|
|
#define NOZZLE_SHAPE_B 6 /* 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 TYPE_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 4.0 /* angular frequency of spin-spin interaction */
|
|
#define SPIN_INTER_FREQUENCY_B 4.0 /* 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 2.8 /* 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 0.5 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.015 /* parameter controlling radius of particles */
|
|
#define MU_B 0.015 /* parameter controlling radius of particles of second type */
|
|
#define NPOLY 3 /* number of sides of polygon */
|
|
#define APOLY 0.5 /* 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 128 /* number of grid point for grid of disks */
|
|
#define NGRIDY 64 /* 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 2500 /* number of frames of movie */
|
|
#define NVID 30 /* 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 150 /* 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 3
|
|
|
|
/* Plot type, see list in global_ljones.c */
|
|
|
|
#define PLOT 13
|
|
#define PLOT_B 14 /* plot type for second movie */
|
|
|
|
#define DRAW_BONDS 1 /* set to 1 to draw bonds between neighbours */
|
|
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
|
|
#define FILL_TRIANGLES 0 /* set to 1 to fill triangles between neighbours */
|
|
#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 */
|
|
#define N_PARTICLE_COLORS 200 /* number of colors for P_NUMBER color scheme */
|
|
#define INITIAL_POS_TYPE 0 /* type of initial position dependence */
|
|
#define ERATIO 0.995 /* ratio for time-averagin in P_EMEAN color scheme */
|
|
#define DRATIO 0.995 /* ratio for time-averagin in P_DIRECT_EMEAN color scheme */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 17 /* Color palette, see list in global_ljones.c */
|
|
#define COLOR_PALETTE_EKIN 10 /* Color palette for kinetic energy */
|
|
#define COLOR_PALETTE_ANGLE 10 /* Color palette for angle representation */
|
|
#define COLOR_PALETTE_INITIAL_POS 10 /* Color palette for initial position representation */
|
|
|
|
#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 */
|
|
|
|
#define PRINT_PARAMETERS 0 /* set to 1 to print certain parameters */
|
|
#define PRINT_TEMPERATURE 0 /* set to 1 to print current temperature */
|
|
|
|
/* 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 10000.0 /* energy of particle with hottest color */
|
|
#define HUE_TYPE0 60.0 /* hue of particles of type 0 */
|
|
#define HUE_TYPE1 280.0 /* hue of particles of type 1 */
|
|
#define HUE_TYPE2 140.0 /* hue of particles of type 2 */
|
|
#define HUE_TYPE3 200.0 /* 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 1.0 /* constant in repelling force between particles */
|
|
#define EQUILIBRIUM_DIST 5.0 /* Lennard-Jones equilibrium distance */
|
|
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
|
|
#define REPEL_RADIUS 15.0 /* radius in which repelling force acts (in units of particle radius) */
|
|
#define DAMPING 100.0 /* damping coefficient of particles */
|
|
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
|
|
#define INITIAL_DAMPING 5.0 /* damping coefficient of particles during initial phase */
|
|
#define DAMPING_ROT 100.0 /* dampint coefficient for rotation of particles */
|
|
#define PARTICLE_MASS 2.5 /* 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 VICSEK_VMIN 1.0 /* minimal speed of particles in Vicsek model */
|
|
#define VICSEK_VMAX 40.0 /* minimal speed of particles in Vicsek model */
|
|
|
|
#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 2.7 /* radius in which to count neighbours */
|
|
#define GRAVITY 0.0 /* gravity acting on all particles */
|
|
#define GRAVITY_X 5000.0 /* 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 KSPRING_VICSEK 0.2 /* spring constant for I_VICSEK_SPEED interaction */
|
|
#define VICSEK_REPULSION 10.0 /* repulsion between particles in Vicsek model */
|
|
|
|
#define ROTATION 1 /* set to 1 to include rotation of particles */
|
|
#define COUPLE_ANGLE_TO_THERMOSTAT 1 /* set to 1 to couple angular degrees of freedom to thermostat */
|
|
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
|
|
#define KTORQUE 50.0 /* force constant in angular dynamics */
|
|
#define KTORQUE_BOUNDARY 1.0e6 /* constant in torque from the boundary */
|
|
#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 10.0 /* 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 0.02 /* 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 0.25 /* 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 1 /* 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 some particles 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 0.25 /* 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 10 /* time interval between adding further particles */
|
|
#define N_ADD_PARTICLES 2 /* number of particles to add */
|
|
#define FINAL_NOADD_PERIOD 0 /* 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 20 /* time at which to deactivate last segment */
|
|
#define RELEASE_ROCKET_AT_DEACTIVATION 0 /* set to 1 to limit segments velocity before segment release */
|
|
#define SEGMENTS_X0 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 0 /* set to 1 to group segments into moving units */
|
|
#define SEGMENT_GROUP_MASS 500.0 /* 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 0 /* set to 1 for groups of segments to repel each other */
|
|
#define KSPRING_GROUPS 5.0e11 /* 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 POSITION_DEP_SIGN -1.0 /* sign in position dependence condition */
|
|
#define POSITION_DEP_X -0.625 /* threshold value for position-dependent type */
|
|
#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_REACTION 16 /* type of reaction, see list in global_ljones.c */
|
|
#define RD_TYPES 5 /* number of types in reaction-diffusion equation */
|
|
#define RD_INITIAL_COND 9 /* initial condition of particles */
|
|
#define REACTION_DIST 4.0 /* maximal distance for reaction to occur */
|
|
#define REACTION_PROB 1.0 /* probability controlling reaction term */
|
|
#define DISSOCIATION_PROB 0.002 /* probability controlling dissociation reaction */
|
|
#define CENTER_COLLIDED_PARTICLES 0 /* set to 1 to recenter particles upon reaction (may interfere with thermostat) */
|
|
#define EXOTHERMIC 1 /* set to 1 to make reaction exo/endothermic */
|
|
#define DELTA_EKIN 2000.0 /* change of kinetic energy in reaction */
|
|
#define COLLISION_TIME 15 /* time during which collisions are shown */
|
|
|
|
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
|
|
#define PLOT_PARTICLE_NUMBER 0 /* set to 1 to make of plot of particle number over time */
|
|
#define PARTICLE_NB_PLOT_FACTOR 0.5 /* expected final number of particles over initial number */
|
|
#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 0.25 /* 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 12 /* width of maze */
|
|
#define NYMAZE 12 /* height of maze */
|
|
#define MAZE_MAX_NGBH 4 /* max number of neighbours of maze cell */
|
|
#define RAND_SHIFT 4 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.5 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.01 /* width of maze walls */
|
|
|
|
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
|
|
#define FMAX 1.0e9 /* 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 */
|
|
|
|
#define LIMIT_ENERGY 0 /* set to 1 to limit energy, when there is no thermostat */
|
|
|
|
```
|
|
|
|
### 3 August 23 - Video #900: A meteor impact on an ocean planet ###
|
|
|
|
**Program:** `wave_sphere.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_wave_sphere(PID, 0.15*PI, phi, psi, xy_in, wsphere);`
|
|
|
|
```
|
|
#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 1500 /* number of grid points on x axis */
|
|
#define NY 750 /* number of grid points on y axis */
|
|
|
|
#define DPOLE 15 /* safety distance to poles */
|
|
|
|
#define XMIN -2.0
|
|
#define XMAX 2.0 /* x interval */
|
|
#define YMIN -1.041666667
|
|
#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
|
|
|
|
#define HIGHRES 0 /* set to 1 if resolution of grid is double that of displayed image */
|
|
|
|
#define JULIA_SCALE 0.8 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 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 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.0 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.1197916667 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.035 /* 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 7 /* depth of computation of Menger gasket */
|
|
#define MRATIO 3 /* ratio defining Menger gasket */
|
|
#define MANDELLEVEL 2000 /* iteration level for Mandelbrot set */
|
|
#define MANDELLIMIT 20.0 /* limit value for approximation of Mandelbrot set */
|
|
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
|
|
#define NGRIDX 30 /* number of grid point for grid of disks */
|
|
#define NGRIDY 18 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 0 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define 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 0.01 /* Courant number in medium B */
|
|
#define GAMMA 0.0 /* damping factor in wave equation */
|
|
#define GAMMAB 1.0e-6 /* damping factor in wave equation */
|
|
#define GAMMA_SIDES 1.0e-4 /* damping factor on boundary */
|
|
#define GAMMA_TOPBOT 1.0e-7 /* damping factor on boundary */
|
|
#define KAPPA 0.0 /* "elasticity" term enforcing oscillations */
|
|
#define KAPPA_SIDES 5.0e-4 /* "elasticity" term on absorbing boundary */
|
|
#define KAPPA_TOPBOT 0.0 /* "elasticity" term on absorbing boundary */
|
|
#define OSCIL_LEFT_YSHIFT 0.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* 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 3550 /* number of frames of movie */
|
|
#define NVID 4 /* number of iterations between images displayed on screen */
|
|
#define NSEG 1000 /* number of segments of boundary */
|
|
#define INITIAL_TIME 0 /* time after which to start saving frames */
|
|
#define BOUNDARY_WIDTH 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 3 /* 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 1.5 /* amplitude of initial condition */
|
|
#define INITIAL_VARIANCE 0.0002 /* 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 104
|
|
#define CPLOT_B 104 /* plot type for second movie */
|
|
|
|
#define CHANGE_LUMINOSITY 1 /* set to 1 to let luminosity depend on energy flux intensity */
|
|
#define FLUX_WINDOW 30 /* size of averaging window of flux intensity */
|
|
#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 SHADE_WAVE 1 /* set to 1 to have luminosity depend on wave height */
|
|
#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 0.4 /* vertical scaling in energy plot */
|
|
#define PLOT_SCALE_LOG_ENERGY 0.5 /* 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 660.0 /* total angle of rotation during simulation */
|
|
|
|
/* Color schemes */
|
|
|
|
#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 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 2.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define VSCALE_ENERGY 50.0 /* 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 20.0 /* 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 4000.0 /* scaling factor for energy flux representation */
|
|
#define FLUX_CSCALE 2.0 /* scaling factor for color in energy flux representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
|
|
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
|
|
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
|
|
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
|
|
#define HUEMEAN 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 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 5 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.02 /* half width of maze walls */
|
|
|
|
#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 0.5 /* 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 ADD_POTENTIAL 0 /* set to 1 to add potential to z coordinate */
|
|
#define POTENTIAL 10
|
|
#define POT_FACT 20.0
|
|
/* 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, 6.0, 5.0}; /* location of observer for REP_PROJ_3D representation */
|
|
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
|
|
|
|
#define RSCALE 0.02 /* scaling factor of radial component */
|
|
#define Z_SCALING_FACTOR 0.8 /* overall scaling factor of z axis for REP_PROJ_3D representation */
|
|
#define XY_SCALING_FACTOR 2.0 /* overall scaling factor for on-screen (x,y) coordinates after projection */
|
|
#define ZMAX_FACTOR 1.0 /* max value of z coordinate for REP_PROJ_3D representation */
|
|
#define XSHIFT_3D 0.0 /* overall x shift for REP_PROJ_3D representation */
|
|
#define YSHIFT_3D 0.0 /* overall y shift for REP_PROJ_3D representation */
|
|
|
|
```
|
|
|
|
### 2 August 23 - Faraday waves with 14-fold symmetry ###
|
|
|
|
**Program:** `rde.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_circular_vibration(0.0, 0.0, 0.015, LAMBDA, 0.001, 0.1, 14.0, SWATER_MIN_HEIGHT, 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 8 /* choice of reaction term, see list in global_3d.c */
|
|
#define NFIELDS 3 /* number of fields in reaction-diffusion equation */
|
|
#define NLAPLACIANS 0 /* 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 ADD_FORCE_FIELD 1 /* set to 1 to add a foce field (for compressible Euler equation) */
|
|
#define POTENTIAL 7 /* type of potential or vector potential, see list in global_3d.c */
|
|
#define FORCE_FIELD 5 /* type of force field, see list in global_3d.c */
|
|
#define ADD_CORIOLIS_FORCE 0 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
|
|
#define VARIABLE_DEPTH 0 /* set to 1 for variable depth in shallow water equation */
|
|
#define SWATER_DEPTH 4 /* variable depth in shallow water equation */
|
|
|
|
#define ANTISYMMETRIZE_WAVE_FCT 0 /* set tot 1 to make wave function antisymmetric */
|
|
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
|
|
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
|
|
#define BC_STIFFNESS 50.0 /* controls region of boundary condition control */
|
|
#define CHECK_INTEGRAL 1 /* set to 1 to check integral of first field */
|
|
|
|
#define JULIA_SCALE 0.5 /* scaling for Julia sets */
|
|
|
|
/* Choice of the billiard table */
|
|
|
|
#define B_DOMAIN 999 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_pdes.c */
|
|
|
|
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
|
|
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.06 /* 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 6 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
#define REVERSE_TESLA_VALVE 1 /* set to 1 to orient Tesla valve in blocking 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 */
|
|
|
|
#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 parameters of wave equation */
|
|
|
|
#define DT 0.00000025
|
|
|
|
#define VISCOSITY 1.5e-5
|
|
#define DISSIPATION 1.0e-8
|
|
|
|
#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 G_FIELD 0.75 /* gravity */
|
|
#define BC_FIELD 1.0e-5 /* constant in repulsive field from obstacles */
|
|
#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 K_EULER_INC 0.5 /* constant in incompressible Euler equation */
|
|
|
|
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
|
|
#define SMOOTHEN_VELOCITY 1 /* set to 1 to smoothen velocity field in Euler equation */
|
|
#define SMOOTHEN_PERIOD 10 /* period between smoothenings */
|
|
#define SMOOTH_FACTOR 0.15 /* 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 TRACERS_STEP 0.005 /* step size in tracer evolution */
|
|
|
|
#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 */
|
|
#define IN_OUT_FLOW_BC 0 /* type of in-flow/out-flow boundary conditions for Euler equation, 0 for no b.c. */
|
|
#define IN_OUT_BC_FACTOR 0.001 /* factor of convex combination between old and new flow */
|
|
#define BC_FLOW_TYPE 1 /* type of initial condition */
|
|
/* see list in global_pdes.c */
|
|
#define IN_OUT_FLOW_MIN_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - min value */
|
|
#define IN_OUT_FLOW_AMP 0.25 /* amplitude of in-flow/out-flow boundary conditions (for Euler equation) - max value */
|
|
#define LAMINAR_FLOW_MODULATION 0.01 /* asymmetry of laminar flow */
|
|
#define LAMINAR_FLOW_YPERIOD 1.0 /* period of laminar flow in y direction */
|
|
#define PRESSURE_GRADIENT 0.2 /* amplitude of pressure gradient for Euler equation */
|
|
|
|
#define SWATER_MIN_HEIGHT 0.5 /* min height of initial condition for shallow water equation */
|
|
#define DEPTH_FACTOR 0.015 /* proportion of min height in variable depth */
|
|
#define TANH_FACTOR 1.0 /* steepness of variable depth */
|
|
|
|
#define EULER_GRADIENT_YSHIFT 0.0 /* y-shift in computation of gradient in Euler equation */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 0
|
|
|
|
#define B_COND_LEFT 0
|
|
#define B_COND_RIGHT 0
|
|
#define B_COND_TOP 0
|
|
#define B_COND_BOTTOM 0
|
|
|
|
|
|
/* Parameters for length and speed of simulation */
|
|
|
|
#define NSTEPS 1400 /* number of frames of movie */
|
|
#define NVID 50 /* 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 999 /* 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 1 /* 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 0 /* set to 1 to repeat wave periodically in x and y directions */
|
|
|
|
/* Plot type - color scheme */
|
|
|
|
#define CPLOT 70
|
|
#define CPLOT_B 74
|
|
|
|
/* Plot type - height of 3D plot */
|
|
|
|
#define ZPLOT 70 /* z coordinate in 3D plot */
|
|
#define ZPLOT_B 71 /* 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 FADE_WATER_DEPTH 0 /* set to 1 to make wave color depth-dependent */
|
|
#define DRAW_OUTSIDE_GRAY 0 /* experimental - draw outside of billiard in gray */
|
|
#define ADD_POTENTIAL_TO_Z 0 /* set to 1 to add the external potential to z-coordinate of plot */
|
|
#define ADD_POT_CONSTANT 0.35 /* constant added to wave height */
|
|
#define ADD_HEIGHT_CONSTANT -0.5 /* constant added to wave height */
|
|
#define DRAW_DEPTH 0 /* set to 1 to draw water depth */
|
|
#define DEPTH_SCALE 0.75 /* vertical scaling of depth plot */
|
|
#define DEPTH_SHIFT -0.015 /* vertical shift of depth plot */
|
|
|
|
#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 0 /* set to 1 to print speed of flow */
|
|
#define PRINT_AVERAGE_SPEED 0 /* set to 1 to print average speed of flow */
|
|
#define PRINT_LEFT 1 /* set to 1 to print parameters at left side */
|
|
|
|
#define DRAW_FIELD_LINES 0 /* set to 1 to draw field lines */
|
|
#define FIELD_LINE_WIDTH 1 /* width of field lines */
|
|
#define N_FIELD_LINES 120 /* number of field lines */
|
|
#define FIELD_LINE_FACTOR 120 /* factor controlling precision when computing origin of field lines */
|
|
#define DRAW_BILLIARD 1 /* set to 1 to draw boundary */
|
|
#define DRAW_BILLIARD_FRONT 1 /* set to 1 to draw boundary */
|
|
#define FILL_BILLIARD_COMPLEMENT 1 /* set to 1 to fill complement of billiard (for certain shapes only) */
|
|
|
|
/* 3D representation */
|
|
|
|
#define REPRESENTATION_3D 1 /* choice of 3D representation */
|
|
|
|
#define REP_AXO_3D 0 /* linear projection (axonometry) */
|
|
#define REP_PROJ_3D 1 /* projection on plane orthogonal to observer line of sight */
|
|
|
|
/* Color schemes, see list in global_pdes.c */
|
|
|
|
#define COLOR_PALETTE 13 /* Color palette, see list in global_pdes.c */
|
|
#define COLOR_PALETTE_B 0 /* Color palette, see list in global_pdes.c */
|
|
|
|
#define BLACK 1 /* black background */
|
|
|
|
#define COLOR_SCHEME 3 /* choice of color scheme */
|
|
|
|
#define COLOR_PHASE_SHIFT 0.5 /* phase shift of color scheme, in units of Pi */
|
|
|
|
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
|
|
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
|
|
#define VSCALE_AMPLITUDE 10.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
|
|
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
|
|
#define CURL_SCALE 0.000015 /* scaling factor for curl representation */
|
|
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
|
|
#define SLOPE_SCHROD_LUM 200.0 /* 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 2.0 /* 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 VSCALE_WATER_HEIGHT 0.4 /* vertical scaling of water height */
|
|
|
|
#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 VSCALE_SPEED 200.0 /* additional scaling factor for color scheme Z_EULER_SPEED */
|
|
#define VMEAN_SPEED 0.0 /* mean value around which to scale for color scheme Z_EULER_SPEED */
|
|
#define SHIFT_DENSITY 8.5 /* shift for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_DENSITY 3.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
#define VSCALE_VORTICITY 20.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
|
|
#define VORTICITY_SHIFT 0.0 /* vertical shift of vorticity */
|
|
#define ZSCALE_SPEED 0.3 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
|
|
#define VSCALE_SWATER 300.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
|
|
|
|
#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 3 /* seed of random number generator */
|
|
#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
|
|
#define MAZE_WIDTH 0.04 /* half width of maze walls */
|
|
|
|
#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 CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
|
|
#define CIRC_COLORBAR_B 1 /* set to 1 to draw circular color scheme */
|
|
|
|
/* only for compatibility with wave_common.c */
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 4 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape 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 */
|
|
#define FLUX_WINDOW 20 /* averaging window for energy flux */
|
|
#define ADD_WAVE_PACKET_SOURCES 1 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
#define OSCIL_LEFT_YSHIFT 25.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* 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, 7.0}; /* 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 75.0 /* 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 0.0 /* 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 100.0 /* max value of wave amplitude */
|
|
#define TEST_GRADIENT 0 /* print norm squared of gradient */
|
|
|
|
```
|
|
|
|
### 1 August 23 - Bragg diffraction ###
|
|
|
|
**Program:** `wave_billiard.c`
|
|
|
|
**Initial condition in function `animation()`:** `init_wave_flat(phi, psi, xy_in);`
|
|
|
|
```
|
|
#define MOVIE 1 /* set to 1 to generate movie */
|
|
#define DOUBLE_MOVIE 1 /* set to 1 to produce movies for wave height and energy simultaneously */
|
|
#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 */
|
|
|
|
#define VARIABLE_IOR 0 /* set to 1 for a variable index of refraction */
|
|
#define IOR 9 /* choice of index of refraction, see list in global_pdes.c */
|
|
#define IOR_TOTAL_TURNS 1.5 /* total angle of rotation for IOR_PERIODIC_WELLS_ROTATING */
|
|
#define MANDEL_IOR_SCALE -0.05 /* parameter controlling dependence of IoR on Mandelbrot escape speed */
|
|
|
|
|
|
/* 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 -0.797916667
|
|
#define YMAX 1.597916667 /* 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 20 /* choice of domain shape, see list in global_pdes.c */
|
|
|
|
#define CIRCLE_PATTERN 101 /* 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 1000 /* number of points for Poisson C_RAND_POISSON arrangement */
|
|
#define RANDOM_POLY_ANGLE 1 /* set to 1 to randomize angle of polygons */
|
|
|
|
#define LAMBDA 0.1197916667 /* parameter controlling the dimensions of domain */
|
|
#define MU 0.01 /* 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 40 /* number of grid point for grid of disks */
|
|
#define NGRIDY 8 /* number of grid point for grid of disks */
|
|
|
|
#define X_SHOOTER -0.2
|
|
#define Y_SHOOTER -0.6
|
|
#define X_TARGET 0.4
|
|
#define Y_TARGET 0.7 /* shooter and target positions in laser fight */
|
|
|
|
#define ISO_XSHIFT_LEFT -2.9
|
|
#define ISO_XSHIFT_RIGHT 1.4
|
|
#define ISO_YSHIFT_LEFT -0.15
|
|
#define ISO_YSHIFT_RIGHT -0.15
|
|
#define ISO_SCALE 0.5 /* coordinates for isospectral billiards */
|
|
|
|
/* You can add more billiard tables by adapting the functions */
|
|
/* xy_in_billiard and draw_billiard below */
|
|
|
|
/* Physical parameters of wave equation */
|
|
|
|
#define TWOSPEEDS 0 /* set to 1 to replace hardcore boundary by medium with different speed */
|
|
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
|
|
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
|
|
#define OSCILLATION_SCHEDULE 0 /* oscillation schedule, see list in global_pdes.c */
|
|
|
|
#define OMEGA 0.012 /* frequency of periodic excitation */
|
|
#define AMPLITUDE 1.0 /* 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 0.01 /* 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 */
|
|
#define OSCIL_LEFT_YSHIFT -200.0 /* y-dependence of left oscillation (for non-horizontal waves) */
|
|
/* The Courant number is given by c*DT/DX, where DT is the time step and DX the lattice spacing */
|
|
/* The physical damping coefficient is given by GAMMA/(DT)^2 */
|
|
/* Increasing COURANT speeds up the simulation, but decreases accuracy */
|
|
/* For similar wave forms, COURANT^2*GAMMA should be kept constant */
|
|
|
|
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
|
|
#define OSCILLATING_SOURCE_PERIOD 30 /* period of oscillating source */
|
|
#define ALTERNATE_OSCILLATING_SOURCE 1 /* set to 1 to alternate sign of oscillating source */
|
|
|
|
#define ADD_WAVE_PACKET_SOURCES 0 /* set to 1 to add several sources emitting wave packets */
|
|
#define WAVE_PACKET_SOURCE_TYPE 1 /* type of wave packet sources */
|
|
#define N_WAVE_PACKETS 15 /* number of wave packets */
|
|
#define WAVE_PACKET_RADIUS 20 /* radius of wave packets */
|
|
|
|
/* Boundary conditions, see list in global_pdes.c */
|
|
|
|
#define B_COND 2
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/* Parameters for length and speed of simulation */
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#define NSTEPS 2800 /* number of frames of movie */
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#define NVID 7 /* number of iterations between images displayed on screen */
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#define NSEG 1000 /* number of segments of boundary */
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#define INITIAL_TIME 0 /* time after which to start saving frames */
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#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
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#define PRINT_SPEED 0 /* print speed of moving source */
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#define PRINT_FREQUENCY 0 /* print frequency (for phased array) */
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#define PAUSE 200 /* number of frames after which to pause */
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#define PSLEEP 1 /* sleep time during pause */
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#define SLEEP1 1 /* initial sleeping time */
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#define SLEEP2 1 /* final sleeping time */
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#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
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#define END_FRAMES 100 /* number of still frames at end of movie */
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#define FADE 1 /* set to 1 to fade at end of movie */
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/* Parameters of initial condition */
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#define INITIAL_AMP 2.0 /* amplitude of initial condition */
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#define INITIAL_VARIANCE 0.000025 /* variance of initial condition */
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#define INITIAL_WAVELENGTH 0.05 /* wavelength of initial condition */
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/* Plot type, see list in global_pdes.c */
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#define PLOT 0
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#define PLOT_B 5 /* plot type for second movie */
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/* Color schemes */
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#define COLOR_PALETTE 17 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 13 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* background */
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#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_pdes.c */
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#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
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#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
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#define PHASE_FACTOR 1.0 /* factor in computation of phase in color scheme P_3D_PHASE */
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#define PHASE_SHIFT 0.0 /* shift of phase in color scheme P_3D_PHASE */
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#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
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#define E_SCALE 100.0 /* scaling factor for energy representation */
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#define LOG_SCALE 1.0 /* scaling factor for energy log representation */
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#define LOG_SHIFT 1.5 /* shift of colors on log scale */
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#define FLUX_SCALE 5.0e3 /* scaling factor for enegy flux represtnation */
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#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
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#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
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#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
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#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
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#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
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#define HUEMEAN 180.0 /* mean value of hue for color scheme C_HUE */
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#define HUEAMP -180.0 /* amplitude of variation of hue for color scheme C_HUE */
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#define DRAW_COLOR_SCHEME 1 /* set to 1 to plot the color scheme */
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#define COLORBAR_RANGE 2.0 /* scale of color scheme bar */
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#define COLORBAR_RANGE_B 0.8 /* scale of color scheme bar for 2nd part */
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#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
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#define CIRC_COLORBAR 0 /* set to 1 to draw circular color scheme */
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#define CIRC_COLORBAR_B 0 /* set to 1 to draw circular color scheme */
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#define SAVE_TIME_SERIES 0 /* set to 1 to save wave time series at a point */
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#define NXMAZE 8 /* width of maze */
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#define NYMAZE 32 /* height of maze */
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#define MAZE_MAX_NGBH 5 /* max number of neighbours of maze cell */
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#define RAND_SHIFT 0 /* seed of random number generator */
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#define MAZE_XSHIFT 0.0 /* horizontal shift of maze */
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#define MAZE_WIDTH 0.02 /* half width of maze walls */
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/* for compatibility with sub_wave and sub_maze */
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#define ADD_POTENTIAL 0
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#define POT_MAZE 7
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#define POTENTIAL 0
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/* end of constants only used by sub_wave and sub_maze */
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/* For debugging purposes only */
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#define FLOOR 0 /* set to 1 to limit wave amplitude to VMAX */
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#define VMAX 10.0 /* max value of wave amplitude */
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```
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