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Nils Berglund
2024-06-01 16:54:53 +02:00
committed by GitHub
parent f773d3940d
commit 008fbf4612
19 changed files with 5701 additions and 774 deletions

440
rde.c
View File

@@ -39,7 +39,7 @@
#include <omp.h>
#include <time.h>
#define MOVIE 0 /* set to 1 to generate movie */
#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 */
@@ -48,8 +48,13 @@
#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 NX 240 /* number of grid points on x axis */
// #define NY 120 /* number of grid points on y axis */
// #define NX 960 /* number of grid points on x axis */
// #define NY 500 /* number of grid points on y axis */
#define NX 780 /* number of grid points on x axis */
#define NY 400 /* number of grid points on y axis */
#define HRES 2 /* factor for high resolution plots */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
@@ -58,28 +63,32 @@
/* Choice of simulated equation */
#define RDE_EQUATION 41 /* choice of reaction term, see list in global_3d.c */
#define NFIELDS 5 /* number of fields in reaction-diffusion equation */
#define NLAPLACIANS 5 /* number of fields for which to compute Laplacian */
#define RDE_EQUATION 7 /* 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 SPHERE 1 /* set to 1 to simulate equation on sphere */
#define DPOLE 1 /* safety distance to poles */
#define DSMOOTH 10 /* size of neighbourhood of poles that are smoothed */
#define SMOOTHPOLE 0.24 /* smoothing coefficient at poles */
#define DSMOOTH 1 /* size of neighbourhood of poles that are smoothed */
#define SMOOTHPOLE 0.01 /* smoothing coefficient at poles */
#define SMOOTHCOTPOLE 0.01 /* smoothing coefficient of cotangent at poles */
#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */
#define SMOOTHBLOCKS 1 /* set to 1 to use blocks of points near the poles */
#define BLOCKDIST 64 /* distance to poles where points are blocked */
#define ZERO_MERIDIAN 190.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
#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 0 /* set to 1 to add a foce field (for compressible Euler equation) */
#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 FORCE_FIELD 6 /* type of force field, see list in global_3d.c */
#define ADD_CORIOLIS_FORCE 1 /* 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 0 /* to smoothly adapt initial state to obstacles */
#define OBSTACLE_GEOMETRY 1 /* geometry of obstacles, as in B_DOMAIN */
#define ADAPT_STATE_TO_BC 1 /* to smoothly adapt initial state to obstacles */
#define OBSTACLE_GEOMETRY 84 /* 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 */
@@ -98,10 +107,10 @@
#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
#define LAMBDA 0.9 /* parameter controlling the dimensions of domain */
#define MU 0.06 /* parameter controlling the dimensions of domain */
#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
#define MU 1.0 /* parameter controlling the dimensions of domain */
#define NPOLY 5 /* number of sides of polygon */
#define APOLY 2.0 /* angle by which to turn polygon, in units of Pi/2 */
#define 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 */
@@ -128,14 +137,20 @@
/* Physical parameters of wave equation */
#define DT 0.0000002
// #define DT 0.0000001
#define DT 0.00000015
// #define DT 0.0000002
// #define DT 0.0000012
// #define DT 0.000003
// #define DT 0.0000022
// #define DT 0.0000012
#define VISCOSITY 0.075
#define VISCOSITY 0.02
#define POISSON_STIFFNESS 1.0 /* stiffness of Poisson equation solver for incompressible Euler */
#define DISSIPATION 0.0
#define RPSA 0.75 /* parameter in Rock-Paper-Scissors-type interaction */
#define RPSLZB 0.75 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
#define RPSLZB 0.0 /* second parameter in Rock-Paper-Scissors-Lizard-Spock type interaction */
#define K_AC 0.1 /* force constant in Allen-Cahn equation */
#define EPSILON 0.8 /* time scale separation */
@@ -148,23 +163,24 @@
#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 G_FIELD 0.03 /* gravity/Coriolis force */
#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 C_EULER_COMP 0.1 /* constant in compressible Euler equation */
#define SMOOTHEN_VORTICITY 0 /* set to 1 to smoothen vorticity field in Euler equation */
#define SMOOTHEN_VELOCITY 0 /* set to 1 to smoothen velocity 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 SMOOTH_FACTOR 0.05 /* factor by which to smoothen */
#define ADD_OSCILLATING_SOURCE 0 /* set to 1 to add an oscillating wave source */
#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */
#define OSCILLATING_SOURCE_OMEGA 0.2 /* frequency of oscillating source */
#define ADD_TRACERS 0 /* set to 1 to add tracer particles (for Euler equations) */
#define N_TRACERS 1000 /* number of tracer particles */
#define ADD_TRACERS 1 /* set to 1 to add tracer particles (for Euler equations) */
#define N_TRACERS 2000 /* number of tracer particles */
#define TRACERS_STEP 0.005 /* step size in tracer evolution */
#define T_OUT 2.0 /* outside temperature */
@@ -181,10 +197,9 @@
#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 VISCOSITY_MAX 2.0 /* max value of viscosity beyond which NVID is increased and integration step is decrase, for numerical stability */
#define CHANGE_RPSLZB 1 /* set to 1 to change second parameter in Rock-Paper-Scissors-Lizard-Spock equation */
#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 */
@@ -215,11 +230,11 @@
#define B_COND_TOP 0
#define B_COND_BOTTOM 0
/* Parameters for length and speed of simulation */
#define NSTEPS 3500 /* number of frames of movie */
#define NVID 8 /* number of iterations between images displayed on screen */
#define NSTEPS 1900 /* number of frames of movie */
// #define NSTEPS 500 /* number of frames of movie */
#define NVID 100 /* 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 */
@@ -242,23 +257,25 @@
#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
// #define ROTATE_ANGLE 90.0 /* total angle of rotation during simulation */
#define SHADE_3D 1 /* set to 1 to change luminosity according to normal vector */
#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector */
#define VIEWPOINT_TRAJ 0 /* type of viewpoint trajectory */
#define MAX_LATITUDE 45.0 /* maximal latitude for viewpoint trajectory VP_ORBIT2 */
#define DRAW_PERIODICISED 0 /* set to 1 to repeat wave periodically in x and y directions */
/* Plot type - color scheme */
#define CPLOT 40
#define CPLOT_B 42
#define CPLOT 62
#define CPLOT_B 64
/* Plot type - height of 3D plot */
#define ZPLOT 42 /* z coordinate in 3D plot */
#define ZPLOT_B 42 /* z coordinate in second 3D plot */
#define ZPLOT 62 /* z coordinate in 3D plot */
#define ZPLOT_B 64 /* 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 */
@@ -275,7 +292,7 @@
#define PRINT_TIME 0 /* set to 1 to print running time */
#define PRINT_VISCOSITY 0 /* set to 1 to print viscosity */
#define PRINT_RPSLZB 1 /* set to 1 to print rpslzb parameter */
#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 */
@@ -299,8 +316,8 @@
/* Color schemes, see list in global_pdes.c */
#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 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_OUT_R 1.0 /* color outside domain */
@@ -313,17 +330,17 @@
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
#define VSCALE_AMPLITUDE 0.5 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
#define VSCALE_AMPLITUDE 100.0 /* 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 CURL_SCALE 1.0 /* 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 SLOPE_SCHROD_LUM 100.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
#define 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 SHADE_SCALE_2D 1.0 /* controls "depth" of 2D shading */
#define SHADE_SCALE_2D 0.25 /* controls "depth" of 2D shading */
#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 */
@@ -336,13 +353,15 @@
#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 VSCALE_SPEED 50.0 /* 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 SHIFT_DENSITY 1.0 /* shift for color scheme Z_EULER_DENSITY */
#define VSCALE_DENSITY 30.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
#define VSCALE_VORTICITY 15.0 /* 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 ZSCALE_SPEED 0.5 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
#define ZSHIFT_SPEED 0.0 /* additional shift of z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
#define ZSCALE_NORMGRADIENT -0.0001 /* vertical scaling for Z_NORM_GRADIENT */
#define VSCALE_SWATER 250.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
#define NXMAZE 7 /* width of maze */
@@ -352,11 +371,11 @@
#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 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 2.5 /* scale of color scheme bar for 2nd part */
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
#define CIRC_COLORBAR 1 /* set to 1 to draw circular color scheme */
#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 */
@@ -386,9 +405,12 @@
#define FLUX_WINDOW 20 /* averaging window for energy flux */
#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_SOURCES 1 /* number of wave 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) */
#define INITIAL_SHIFT 20.0 /* time shift of initial wave packet (in oscillation periods) */
#define WAVE_PACKET_SHIFT 200.0 /* time shift between wave packets (in oscillation periods) */
#define DRAW_WAVE_PROFILE 0 /* set to 1 to draw a profile of the wave */
#define HORIZONTAL_WAVE_PROFILE 0 /* set to 1 to draw wave profile vertically */
#define VERTICAL_WAVE_PROFILE 0 /* set to 1 to draw wave profile vertically */
@@ -403,33 +425,48 @@
#define DRAW_WAVE_TIMESERIES 0 /* set to 1 to draw a time series of the wave */
#define TIMESERIES_NVALUES 400 /* number of values plotted in time series */
#define DRAW_WAVE_SOURCE 0 /* set to 1 to draw source of wave at (wave_source_x, wave_source_y) */
#define MESSAGE_LDASH 14 /* length of dash for Morse code message */
#define MESSAGE_LDOT 8 /* length of dot for Morse code message */
#define MESSAGE_LINTERVAL 54 /* length of interval between dashes/dots for Morse code message */
#define MESSAGE_LINTERLETTER 60 /* length of interval between letters for Morse code message */
#define MESSAGE_LSPACE 48 /* length of space for Morse code message */
#define MESSAGE_INITIAL_TIME 100 /* initial time before starting message for Morse code message */
#define MESSAGE_LDASH 1 /* length of dash for Morse code message */
#define MESSAGE_LDOT 1 /* length of dot for Morse code message */
#define MESSAGE_LINTERVAL 1 /* length of interval between dashes/dots for Morse code message */
#define MESSAGE_LINTERLETTER 1 /* length of interval between letters for Morse code message */
#define MESSAGE_LSPACE 1 /* length of space for Morse code message */
#define MESSAGE_INITIAL_TIME 1 /* initial time before starting message for Morse code message */
/* 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 */
double light[3] = {-0.40824829, -0.816496581, 0.40824829}; /* vector of "light" direction for P_3D_ANGLE color scheme */
double observer[3] = {-8.0, -4.0, 4.0}; /* location of observer for REP_PROJ_3D representation */
int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
/* constants for simulations on planets */
#define ADD_DEM 1 /* add DEM (digital elevation model) */
#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */
#define RSCALE_DEM 0.1 /* scaling factor of radial component for DEM */
#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */
#define DEM_SMOOTH_STEPS 1 /* number of smoothening steps */
#define DEM_SMOOTH_HEIGHT 2.0 /* relative height below which to smoothen */
#define DEM_MAXHEIGHT 9000.0 /* max height of DEM (estimated from Everest/Olympus Mons) */
#define DEM_MAXDEPTH -10000 /* max depth of DEM */
#define PLANET_SEALEVEL 0.0 /* sea level for flooded planet */
#define VENUS_NODATA_FACTOR 0.5 /* altitude to assign to DEM points without data (fraction of mean altitude) */
#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 YSHIFT_3D 0.0 /* 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 */
#define DRAW_ARROW 0 /* set to 1 to draw arrow above sphere */
#define RSCALE 0.01 /* scaling factor of radial component */
#define RSHIFT -0.01 /* shift in radial component */
#define RMAX 2.0 /* max value of radial component */
#define RMIN 0.5 /* min value of radial component */
// #define COS_VISIBLE -1.1 /* limit on cosine of normal to shown facets */
#define COS_VISIBLE -0.3 /* limit on cosine of normal to shown facets */
#define RSCALE -0.01 /* scaling factor of radial component */
#define RMAX 1.005 /* max value of radial component */
#define RMIN 0.995 /* min value of radial component */
#define COS_VISIBLE -1.1 /* limit on cosine of normal to shown facets */
/* For debugging purposes only */
#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
@@ -443,6 +480,9 @@ int reset_view = 0; /* switch to reset 3D view parameters (for option RO
#define ASYM_SPEED_COLOR (VMEAN_SPEED == 0.0)
int block_sizes[NY]; /* table of block sizes for blocking around poles */
int block_numbers[NY]; /* table of block numbers for blocking around poles */
#include "global_pdes.c"
#include "global_3d.c" /* constants and global variables */
@@ -665,7 +705,7 @@ void initialize_vector_potential(double vpotential_field[2*NX*NY])
}
}
void initialize_gfield(double gfield[2*NX*NY], double bc_field[NX*NY], double bc_field2[NX*NY])
void initialize_gfield(double gfield[2*NX*NY], double bc_field[NX*NY], double bc_field2[NX*NY], t_wave_sphere *wsphere, t_wave_sphere *wsphere_hr)
/* initialize the exterior field, e.g. for the compressible Euler equation */
{
int i, j;
@@ -701,7 +741,37 @@ void initialize_gfield(double gfield[2*NX*NY], double bc_field[NX*NY], double bc
gfield[NX*NY+(NX-1)*NY+j] = 0.0;
}
}
else if (FORCE_FIELD == GF_EARTH)
{
dx = (XMAX - XMIN)/(double)NX;
dy = (YMAX - YMIN)/(double)NY;
init_earth_map_rde(wsphere, 1);
init_earth_map_rde(wsphere_hr, HRES);
#pragma omp parallel for private(i,j)
for (i=1; i<NX-1; i++){
for (j=1; j<NY-1; j++){
gfield[i*NY+j] = BC_FIELD*(wsphere[(i+1)*NY+j].altitude - wsphere[(i-1)*NY+j].altitude)/dx;
gfield[NX*NY+i*NY+j] = BC_FIELD*(wsphere[i*NY+j+1].altitude - wsphere[i*NY+j-1].altitude)/dy;
}
}
/* boundaries TODO */
for (i=0; i<NX; i++)
{
gfield[i*NY] = 0.0;
gfield[NX*NY+i*NY] = 0.0;
gfield[i*NY+NY-1] = 0.0;
gfield[NX*NY+i*NY+NY-1] = 0.0;
}
for (j=0; j<NY; j++)
{
gfield[j] = 0.0;
gfield[NX*NY+j] = 0.0;
gfield[(NX-1)*NY+j] = 0.0;
gfield[NX*NY+(NX-1)*NY+j] = 0.0;
}
}
else
{
#pragma omp parallel for private(i,j)
@@ -990,7 +1060,8 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
}
/* smooth vector fields at poles */
if (SPHERE) for (k=0; k<NFIELDS; k++) smooth_poles(phi_in[k]);
if ((SPHERE)&&(!SMOOTHBLOCKS)) for (k=0; k<NFIELDS; k++) smooth_poles(phi_in[k]);
else for (k=0; k<NFIELDS; k++) block_poles(phi_in[k]);
for (i=0; i<NLAPLACIANS; i++) delta_phi[i] = (double *)malloc(NX*NY*sizeof(double));
@@ -1048,8 +1119,8 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
case (E_EULER_COMP):
{
nabla_rho = (double *)malloc(2*NX*NY*sizeof(double));
compute_gradient_euler_test(phi_in[0], nabla_rho, xy_in);
compute_velocity_gradients(phi_in, rde, xy_in);
compute_gradient_euler_test(phi_in[0], nabla_rho, xy_in, wsphere);
compute_velocity_gradients(phi_in, rde, xy_in, wsphere);
if (SMOOTHEN_VELOCITY) /* beta: try to reduce formation of ripples */
{
@@ -1075,8 +1146,8 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
case (E_SHALLOW_WATER):
{
nabla_eta = (double *)malloc(2*NX*NY*sizeof(double));
compute_gradient_euler_test(phi_in[0], nabla_eta, xy_in);
compute_velocity_gradients(phi_in, rde, xy_in);
compute_gradient_euler_test(phi_in[0], nabla_eta, xy_in, wsphere);
compute_velocity_gradients(phi_in, rde, xy_in, wsphere);
if (VISCOSITY > 0.0)
{
@@ -1213,7 +1284,7 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
vx = rde[i*NY+j].dxv;
vy = rde[i*NY+j].dyv;
phi_out[0][i*NY+j] = rho - intstep*(u*rhox + v*rhoy + rho*(ux + vy));
phi_out[0][i*NY+j] = rho - intstep*C_EULER_COMP*(u*rhox + v*rhoy + rho*(ux + vy));
phi_out[1][i*NY+j] = u - intstep*(u*ux + v*uy + K_EULER_INC*rhox/rho);
phi_out[2][i*NY+j] = v - intstep*(u*vx + v*vy + K_EULER_INC*rhoy/rho);
@@ -1224,8 +1295,22 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
}
if (ADD_CORIOLIS_FORCE)
{
phi_out[1][i*NY+j] += intstep*G_FIELD*v;
phi_out[2][i*NY+j] -= intstep*G_FIELD*u;
if (SPHERE)
{
phi_out[1][i*NY+j] += intstep*G_FIELD*v*wsphere[i*NY+j].ctheta;
phi_out[2][i*NY+j] -= intstep*G_FIELD*u*wsphere[i*NY+j].reg_cottheta;
// phi_out[1][i*NY+j] += intstep*G_FIELD*v;
// phi_out[2][i*NY+j] -= intstep*G_FIELD*u;
// phi_out[1][i*NY+j] -= intstep*G_FIELD*v;
// phi_out[2][i*NY+j] += intstep*G_FIELD*u;
// phi_out[1][i*NY+j] -= intstep*G_FIELD*v*wsphere[i*NY+j].ctheta;
// phi_out[2][i*NY+j] += intstep*G_FIELD*u*wsphere[i*NY+j].ctheta;
}
else
{
phi_out[1][i*NY+j] += intstep*G_FIELD*v;
phi_out[2][i*NY+j] -= intstep*G_FIELD*u;
}
}
break;
}
@@ -1340,11 +1425,58 @@ void evolve_wave(double *phi[NFIELDS], double *phi_tmp[NFIELDS], short int xy_in
evolve_wave_half(phi_tmp, phi, xy_in, potential_field, vector_potential_field, gfield, rde, wsphere);
}
void update_tracer_table(double tracers[2*N_TRACERS*NSTEPS], t_rde rde[NX*NY], int time)
/* update tracer information in rde */
{
int tracer, t, t1, maxtime, i, j, n, ij[2], length = 50, cell, oldcell;
double x, y;
#pragma omp parallel for private(cell)
for (cell=0; cell<NX*NY; cell++)
{
rde[cell].tracer = 0;
rde[cell].prev_cell = cell;
rde[cell].n_tracer_pts = 0;
}
maxtime = length;
if (maxtime > time) maxtime = time;
#pragma omp parallel for private(tracer)
for (tracer = 0; tracer < N_TRACERS; tracer++)
{
for (t = 0; t < maxtime; t++)
{
t1 = time - t;
x = tracers[t1*2*N_TRACERS + 2*tracer];
y = tracers[t1*2*N_TRACERS + 2*tracer + 1];
xy_to_ij(x, y, ij);
cell = ij[0]*NY + ij[1];
n = rde[cell].n_tracer_pts;
if (n < NMAX_TRACER_PTS)
{
rde[cell].tracerx[n] = x;
rde[cell].tracery[n] = y;
rde[cell].n_tracer_pts++;
rde[cell].tracer = length - t;
}
// else printf("More than %i tracer points per cell\n", NMAX_TRACER_PTS);
if ((cell != oldcell)&&(t > 0))
rde[cell].prev_cell = oldcell;
oldcell = cell;
}
}
}
void evolve_tracers(double *phi[NFIELDS], double tracers[2*N_TRACERS*NSTEPS], int time, int nsteps, double step)
void evolve_tracers(double *phi[NFIELDS], double tracers[2*N_TRACERS*NSTEPS], t_rde rde[NX*NY], int time, int nsteps, double step)
/* time steps of tracer particle evolution (for Euler equation) */
{
int tracer, i, j, t, ij[2], iplus, jplus;
int tracer, i, j, n, t, ij[2], iplus, jplus, prev_cell, new_cell;
double x, y, xy[2], vx, vy;
step = TRACERS_STEP;
@@ -1408,6 +1540,8 @@ void evolve_tracers(double *phi[NFIELDS], double tracers[2*N_TRACERS*NSTEPS], in
tracers[(time+1)*2*N_TRACERS + 2*tracer + 1] = y;
}
}
if ((PLOT_3D)&&(time+1 < NSTEPS)) update_tracer_table(tracers, rde, time);
}
@@ -1542,7 +1676,7 @@ void draw_color_bar_palette(int plot, double range, int palette, int circular, i
if (circular)
draw_circular_color_scheme_palette_fade(XMAX - 2.0*width, YMAX - 2.0*width, 1.0*width, plot, -range, range, palette, fade, fade_value);
else if (ROTATE_COLOR_SCHEME)
draw_color_scheme_palette_fade(XMIN + 0.8, YMIN + 0.1, XMAX - 0.8, YMIN + 0.1 + width, plot, -range, range, palette, fade, fade_value);
draw_color_scheme_palette_fade(XMIN + 0.8, YMIN + 0.05, XMAX - 0.8, YMIN + 0.05 + width, plot, -range, range, palette, fade, fade_value);
else
draw_color_scheme_palette_fade(XMAX - 1.5*width, YMIN + 0.1, XMAX - 0.5*width, YMAX - 0.1, plot, -range, range, palette, fade, fade_value);
}
@@ -1599,35 +1733,73 @@ void viewpoint_schedule(int i)
/* change position of observer */
{
int j;
double angle, ca, sa;
static double observer_initial[3];
double angle, ca, sa, r1, interpolate, rho;
static double observer_initial[3], r, ratio, rho0, zmax;
static int first = 1;
if (first)
{
for (j=0; j<3; j++) observer_initial[j] = observer[j];
r1 = observer[0]*observer[0] + observer[1]*observer[1];
r = sqrt(r1 + observer[2]*observer[2]);
ratio = r/sqrt(r1);
rho0 = module2(observer[0], observer[1]);
if (vabs(rho0) < 0.001) rho0 = 0.001;
zmax = r*sin(MAX_LATITUDE*PI/180.0);
first = 0;
}
angle = (ROTATE_ANGLE*DPI/360.0)*(double)i/(double)NSTEPS;
interpolate = (double)i/(double)NSTEPS;
angle = (ROTATE_ANGLE*DPI/360.0)*interpolate;
// printf("i = %i, interpolate = %.3lg, angle = %.3lg\n", i, interpolate, angle);
ca = cos(angle);
sa = sin(angle);
observer[0] = ca*observer_initial[0] - sa*observer_initial[1];
observer[1] = sa*observer_initial[0] + ca*observer_initial[1];
switch (VIEWPOINT_TRAJ)
{
case (VP_HORIZONTAL):
{
observer[0] = ca*observer_initial[0] - sa*observer_initial[1];
observer[1] = sa*observer_initial[0] + ca*observer_initial[1];
break;
}
case (VP_ORBIT):
{
observer[0] = ca*observer_initial[0] - sa*observer_initial[1]*ratio;
observer[1] = ca*observer_initial[1] + sa*observer_initial[0]*ratio;
observer[2] = ca*observer_initial[2];
break;
}
case (VP_ORBIT2):
{
observer[0] = ca*observer_initial[0] - sa*observer_initial[1]*ratio;
observer[1] = ca*observer_initial[1] + sa*observer_initial[0]*ratio;
observer[2] = sa*zmax;
break;
}
case (VP_POLAR):
{
rho = -sa*observer_initial[2] + ca*rho0;
observer[0] = observer_initial[0]*rho/rho0;
observer[1] = observer_initial[1]*rho/rho0;
observer[2] = ca*observer_initial[2] + sa*rho0;
break;
}
}
printf("Angle %.3lg, Observer position (%.3lg, %.3lg, %.3lg)\n", angle, observer[0], observer[1], observer[2]);
}
void animation()
{
double time = 0.0, scale, dx, var, jangle, cosj, sinj, sqrintstep,
double time = 0.0, scale, dx, var, jangle, cosj, sinj, sqrintstep, phishift, thetashift, amp,
intstep0, viscosity_printed, fade_value, noise = NOISE_INTENSITY, x, y, sign, phase;
double *phi[NFIELDS], *phi_tmp[NFIELDS], *potential_field, *vector_potential_field, *tracers, *gfield, *bc_field, *bc_field2;
short int *xy_in;
int i, j, k, s, nvid, field;
static int counter = 0;
t_rde *rde;
t_wave_sphere *wsphere;
t_wave_sphere *wsphere, *wsphere_hr;
/* Since NX and NY are big, it seemed wiser to use some memory allocation here */
for (i=0; i<NFIELDS; i++)
@@ -1642,7 +1814,10 @@ void animation()
if (SPHERE)
{
wsphere = (t_wave_sphere *)malloc(NX*NY*sizeof(t_wave_sphere));
init_wave_sphere_rde(wsphere);
init_wave_sphere_rde(wsphere,1);
/* high resolution version for planet simulations */
wsphere_hr = (t_wave_sphere *)malloc(HRES*HRES*NX*NY*sizeof(t_wave_sphere));
init_wave_sphere_rde(wsphere_hr,HRES);
}
npolyline = init_polyline(MDEPTH, polyline);
@@ -1676,7 +1851,7 @@ void animation()
bc_field = (double *)malloc(NX*NY*sizeof(double));
bc_field2 = (double *)malloc(NX*NY*sizeof(double));
initialize_bcfield(bc_field, bc_field2, polyrect);
initialize_bcfield(bc_field, bc_field2, polyrect, wsphere);
}
if (ADD_FORCE_FIELD)
{
@@ -1686,7 +1861,7 @@ void animation()
exit(1);
}
gfield = (double *)malloc(2*NX*NY*sizeof(double));
initialize_gfield(gfield, bc_field, bc_field2);
initialize_gfield(gfield, bc_field, bc_field2, wsphere, wsphere_hr);
}
@@ -1707,7 +1882,7 @@ void animation()
/* initialize field */
// init_random(0.5, 0.4, phi, xy_in);
init_random(0.5, 0.25, phi, xy_in, wsphere);
// init_random(0.5, 0.25, phi, xy_in, wsphere);
// init_random_smoothed(0.5, 0.25, phi, xy_in, wsphere);
// init_gaussian(x, y, mean, amplitude, scalex, phi, xy_in)
// init_coherent_state(0.0, 0.0, 10.0, 0.0, 0.1, phi, xy_in);
@@ -1734,11 +1909,45 @@ void animation()
// add_vortex_state(-0.35, -0.75, -0.1, 0.4, 0.5, phi, xy_in);
// add_vortex_state(0.1, -0.3, 0.7, 0.1, -0.5, phi, xy_in);
// init_vortex_state(0.1, 0.4, 0.0, 0.3, -0.1, phi, xy_in);
// add_vortex_state(0.1, -0.4, 0.0, 0.3, 0.1, phi, xy_in);
// init_laminar_flow(double amp, double xmodulation, double ymodulation, double xperiod, double yperiod, double yshift, double density_mod, double *phi[NFIELDS], short int xy_in[NX*NY])
init_laminar_flow_earth(0.04, phi, xy_in);
/* high pressure systems, northern hemisphere */
init_vortex_state_sphere_mod(1, 0.5, 2.5*PID, PID + 0.6, 0.03, 0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.6, 3.7*PID, PID + 0.7, 0.035, 0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.2, 2.5*PID, PID + 1.3, 0.01, 0.01, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.5, 1.0*PID, PID + 1.0, 0.03, 0.02, phi, xy_in, wsphere);
// init_vortex_state_sphere_mod(1, 0.1, 3.0*PID, 0.9*PI, 0.01, 0.01, phi, xy_in, wsphere);
/* low pressure systems, northern hemisphere */
init_vortex_state_sphere_mod(1, -0.5, 3.0*PID, PID + 0.6, 0.03, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, -0.2, 2.3*PID, PID + 1.1, 0.01, -0.02, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, -0.5, 1.2*PID, PID + 0.4, 0.01, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, -0.8, 0.3*PID, PID + 0.6, 0.01, -0.04, phi, xy_in, wsphere);
/* high pressure systems, southern hemisphere */
init_vortex_state_sphere_mod(1, -0.6, 2.4*PID, PID - 0.7, 0.03, 0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, -0.6, 1.6*PID, PID - 0.7, 0.02, 0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, -0.4, 0.5*PID, PID - 0.7, 0.02, 0.04, phi, xy_in, wsphere);
/* low pressure systems, southern hemisphere */
init_vortex_state_sphere_mod(1, 0.5, 3.4*PID, PID - 0.7, 0.03, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.2, 2.0*PID, PID - 0.1, 0.04, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.3, 1.0*PID, PID - 0.6, 0.03, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.4, 0.1*PID, PID - 0.5, 0.03, -0.04, phi, xy_in, wsphere);
init_vortex_state_sphere_mod(1, 0.2, 0.1*PID, 0.1, 0.1, -0.01, phi, xy_in, wsphere);
// init_pressure_gradient_flow(flow_speed_schedule(0), 1.0 + PRESSURE_GRADIENT, 1.0 - PRESSURE_GRADIENT, phi, xy_in, bc_field);
// init_shear_flow_sphere(0.2, 0.05, 0.15, 6, 5, 0.75, phi, xy_in, wsphere);
// init_shear_flow_sphere(1.0, 0.25, 0.25, 8, 7, 0.75, phi, xy_in, wsphere);
// init_shear_flow_sphere(1.0, 0.25, 0.25, 6, 6, 0.75, phi, xy_in, wsphere);
// phishift = 0.0;
// thetashift = 0.2*PID;
// amp = 1.0;
// init_vortex_state_sphere(0, amp, phishift, PID + thetashift, 0.15, 0.3, phi, xy_in, wsphere);
// init_gaussian_wave(-1.0, 0.0, 0.005, 0.25, SWATER_MIN_HEIGHT, phi, xy_in);
// init_linear_wave(-1.0, 0.01, 5.0e-8, 0.25, SWATER_MIN_HEIGHT, phi, xy_in);
@@ -1749,6 +1958,7 @@ void animation()
// add_gaussian_wave(-1.6, -0.5, 0.015, 0.25, SWATER_MIN_HEIGHT, phi, xy_in);
if (SMOOTHBLOCKS) for (k=0; k<NFIELDS; k++) block_poles(phi[k]);
if (ADAPT_STATE_TO_BC) adapt_state_to_bc(phi, bc_field, xy_in);
init_cfield_rde(phi, xy_in, CPLOT, rde, 0);
@@ -1774,7 +1984,7 @@ void animation()
printf("Drawing wave\n");
draw_wave_rde(0, phi, xy_in, rde, wsphere, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
draw_wave_rde(0, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
// draw_billiard();
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, VISCOSITY, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 0, 1.0);
@@ -1812,7 +2022,7 @@ void animation()
}
printf("Drawing wave %i\n", i);
draw_wave_rde(0, phi, xy_in, rde, wsphere, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
draw_wave_rde(0, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
// nvid = (int)((double)NVID*(1.0 + (ACCELERATION_FACTOR - 1.0)*(double)i/(double)NSTEPS));
/* increase integration step */
@@ -1840,11 +2050,14 @@ void animation()
if (ADD_TRACERS)
{
printf("Evolving tracer particles\n");
evolve_tracers(phi, tracers, i, 10, 0.1);
evolve_tracers(phi, tracers, rde, i, 10, 0.1);
// for (j=0; j<N_TRACERS; j++)
// printf("Tracer %i position (%.2f, %.2f)\n", j, tracers[2*N_TRACERS*i + 2*j], tracers[2*N_TRACERS*i + 2*j + 1]);
printf("Drawing tracer particles\n");
draw_tracers(phi, tracers, i, 0, 1.0);
if (!PLOT_3D)
{
printf("Drawing tracer particles\n");
draw_tracers(phi, tracers, i, 0, 1.0);
}
}
if (ANTISYMMETRIZE_WAVE_FCT) antisymmetrize_wave_function(phi, xy_in);
@@ -1906,8 +2119,8 @@ void animation()
if ((i >= INITIAL_TIME)&&(DOUBLE_MOVIE))
{
draw_wave_rde(1, phi, xy_in, rde, wsphere, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
if (ADD_TRACERS) draw_tracers(phi, tracers, i, 0, 1.0);
draw_wave_rde(1, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, i, 0, 1.0);
// draw_billiard();
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 0, 1.0);
@@ -1938,8 +2151,8 @@ void animation()
{
if (DOUBLE_MOVIE)
{
draw_wave_rde(0, phi, xy_in, rde, wsphere, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
if (ADD_TRACERS) draw_tracers(phi, tracers, NSTEPS, 0, 1.0);
draw_wave_rde(0, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 0, 1.0, 1);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, NSTEPS, 0, 1.0);
// draw_billiard();
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 0, 1.0);
@@ -1950,16 +2163,16 @@ void animation()
else for (i=0; i<MID_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)MID_FRAMES;
draw_wave_rde(0, phi, xy_in, rde, wsphere, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if (ADD_TRACERS) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
draw_wave_rde(0, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
// draw_billiard();
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 1, fade_value);
if (!NO_EXTRA_BUFFER_SWAP) glutSwapBuffers();
save_frame_counter(NSTEPS + i + 1);
}
draw_wave_rde(1, phi, xy_in, rde, wsphere, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
if (ADD_TRACERS) draw_tracers(phi, tracers, NSTEPS, 0, 1.0);
draw_wave_rde(1, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 0, 1.0, REFRESH_B);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, NSTEPS, 0, 1.0);
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 0, 1.0);
glutSwapBuffers();
@@ -1968,8 +2181,8 @@ void animation()
else for (i=0; i<END_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)END_FRAMES;
draw_wave_rde(1, phi, xy_in, rde, wsphere, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 0);
if (ADD_TRACERS) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
draw_wave_rde(1, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT_B, CPLOT_B, COLOR_PALETTE_B, 1, fade_value, 0);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
if (PRINT_PARAMETERS) print_parameters(phi, rde, xy_in, time, PRINT_LEFT, viscosity_printed, noise);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT_B, COLORBAR_RANGE_B, COLOR_PALETTE_B, CIRC_COLORBAR_B, 1, fade_value);
glutSwapBuffers();
@@ -1982,8 +2195,8 @@ void animation()
else for (i=0; i<END_FRAMES; i++)
{
fade_value = 1.0 - (double)i/(double)END_FRAMES;
draw_wave_rde(0, phi, xy_in, rde, wsphere, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if (ADD_TRACERS) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
draw_wave_rde(0, phi, xy_in, rde, wsphere, wsphere_hr, potential_field, ZPLOT, CPLOT, COLOR_PALETTE, 1, fade_value, 0);
if ((ADD_TRACERS)&&(!PLOT_3D)) draw_tracers(phi, tracers, NSTEPS, 1, fade_value);
if (DRAW_COLOR_SCHEME) draw_color_bar_palette(CPLOT, COLORBAR_RANGE, COLOR_PALETTE, CIRC_COLORBAR, 1, fade_value);
glutSwapBuffers();
save_frame_counter(NSTEPS + 1 + counter + i);
@@ -1999,7 +2212,11 @@ void animation()
free(phi_tmp[i]);
}
free(xy_in);
if (SPHERE) free(wsphere);
if (SPHERE)
{
free(wsphere);
free(wsphere_hr);
}
if (ADD_POTENTIAL) free(potential_field);
else if (ADD_MAGNETIC_FIELD)
{
@@ -2057,7 +2274,8 @@ int main(int argc, char** argv)
glutCreateWindow("FitzHugh-Nagumo equation in a planar domain");
if (PLOT_3D) init_3d();
else init();
else init_hres(HRES);
// else init();
glutDisplayFunc(display);