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nilsberglund-orleans
2022-03-13 15:29:50 +01:00
committed by GitHub
parent ca88b9db5c
commit f570f6885e
11 changed files with 4564 additions and 1593 deletions
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157
wave_comparison.c
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@@ -43,29 +43,28 @@
#include <omp.h>
#define MOVIE 0 /* set to 1 to generate movie */
#define DOUBLE_MOVIE 0 /* set to 1 to produce movies for wave height and energy simultaneously */
#define TIME_LAPSE 1 /* set to 1 to add a time-lapse movie at the end */
#define TIME_LAPSE 0 /* set to 1 to add a time-lapse movie at the end */
#define TIME_LAPSE_FACTOR 4 /* factor of time-lapse movie */
/* uncomment for higher resolution version */
// #define WINWIDTH 1920 /* window width */
// #define WINHEIGHT 1000 /* window height */
// #define NX 1920 /* number of grid points on x axis */
// #define NY 1000 /* number of grid points on y axis */
// #define YMID 500 /* mid point of display */
// #define XMIN -2.0
// #define XMAX 2.0 /* x interval */
// #define XMIN -0.5
// #define XMAX 3.5 /* x interval */
// #define YMIN -1.041666667
// #define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
/* comment out for higher resolution version */
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
#define NX 1280 /* number of grid points on x axis */
#define NY 720 /* number of grid points on y axis */
#define YMID 360 /* mid point of display */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define XMIN -0.5
#define XMAX 3.5 /* x interval */
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
@@ -73,8 +72,8 @@
/* Choice of the billiard table */
#define B_DOMAIN 40 /* choice of domain shape, see list in global_pdes.c */
#define B_DOMAIN_B 40 /* choice of domain shape, see list in global_pdes.c */
#define B_DOMAIN 43 /* choice of domain shape, see list in global_pdes.c */
#define B_DOMAIN_B 47 /* choice of domain shape, see list in global_pdes.c */
#define CIRCLE_PATTERN 13 /* pattern of circles, see list in global_pdes.c */
#define CIRCLE_PATTERN_B 13 /* pattern of circles, see list in global_pdes.c */
@@ -90,9 +89,9 @@
#define HEX_NONUNIF_COMPRESSSION 0.15 /* compression factor for HEX_NONUNIF pattern */
#define HEX_NONUNIF_COMPRESSSION_B -0.15 /* compression factor for HEX_NONUNIF pattern */
#define LAMBDA 0.8 /* parameter controlling the dimensions of domain */
#define MU 0.035 /* parameter controlling the dimensions of domain */
#define MUB 0.035 /* parameter controlling the dimensions of domain */
#define LAMBDA -1.1 /* parameter controlling the dimensions of domain */
#define MU 0.1 /* parameter controlling the dimensions of domain */
#define MUB 0.1 /* parameter controlling the dimensions of domain */
// #define MU 0.04665361 /* parameter controlling the dimensions of domain */
// #define MUB 0.04665361 /* parameter controlling the dimensions of domain */
#define NPOLY 3 /* number of sides of polygon */
@@ -122,19 +121,19 @@
/* 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 TWOSPEEDS 1 /* set to 1 to replace hardcore boundary by medium with different speed */
#define OSCILLATE_LEFT 1 /* set to 1 to add oscilating boundary condition on the left */
#define OSCILLATE_TOPBOT 0 /* set to 1 to enforce a planar wave on top and bottom boundary */
#define OMEGA 0.0 /* frequency of periodic excitation */
#define AMPLITUDE 0.025 /* amplitude of periodic excitation */
#define OMEGA 0.004 /* frequency of periodic excitation */
#define AMPLITUDE 1.0 /* amplitude of periodic excitation */
#define COURANT 0.02 /* Courant number */
#define COURANTB 0.004 /* Courant number in medium B */
#define COURANTB 0.01154 /* Courant number in medium B */
// #define COURANTB 0.005 /* Courant number in medium B */
// #define COURANTB 0.008 /* Courant number in medium B */
#define GAMMA 0.0 /* damping factor in wave equation */
// #define GAMMA 1.0e-8 /* damping factor in wave equation */
#define GAMMAB 1.0e-8 /* damping factor in wave equation */
#define GAMMAB 0.0 /* damping factor in wave equation */
// #define GAMMAB 1.0e-6 /* damping factor in wave equation */
// #define GAMMAB 2.0e-4 /* damping factor in wave equation */
// #define GAMMAB 2.5e-4 /* damping factor in wave equation */
@@ -150,22 +149,23 @@
/* Boundary conditions, see list in global_pdes.c */
#define B_COND 3
#define B_COND 0
/* Parameters for length and speed of simulation */
#define NSTEPS 3700 /* number of frames of movie */
#define NSTEPS 2500 /* number of frames of movie */
// #define NSTEPS 3300 /* number of frames of movie */
#define NVID 25 /* number of iterations between images displayed on screen */
#define NSEG 100 /* number of segments of boundary */
#define INITIAL_TIME 150 /* time after which to start saving frames */
#define COMPUTE_ENERGIES 1 /* set to 1 to compute and print energies */
#define INITIAL_TIME 20 /* time after which to start saving frames */
#define COMPUTE_ENERGIES 0 /* set to 1 to compute and print energies */
#define BOUNDARY_WIDTH 2 /* width of billiard boundary */
#define PAUSE 100 /* 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 movies */
#define END_FRAMES 100 /* number of still frames at end of movie */
/* Parameters of initial condition */
@@ -178,11 +178,13 @@
/* Plot type, see list in global_pdes.c */
#define PLOT 4
#define PLOT 0
#define PLOT_B 1
/* Color schemes */
#define COLOR_PALETTE 12 /* Color palette, see list in global_pdes.c */
#define COLOR_PALETTE 18 /* Color palette, see list in global_pdes.c */
#define BLACK 1 /* background */
#define BLACK_TEXT 1 /* set to 1 to write text in black instead of white */
@@ -193,7 +195,7 @@
#define SLOPE 1.0 /* sensitivity of color on wave amplitude */
// #define SLOPE 0.75 /* sensitivity of color on wave amplitude */
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
#define E_SCALE 2000.0 /* scaling factor for energy representation */
#define E_SCALE 200.0 /* scaling factor for energy representation */
#define LOG_SCALE 1.5 /* scaling factor for energy log representation */
#define LOG_SHIFT 1.0 /* shift of colors on log scale */
#define RESCALE_COLOR_IN_CENTER 0 /* set to 1 to decrease color intentiy in the center (for wave escaping ring) */
@@ -206,8 +208,8 @@
#define HUEAMP -220.0 /* 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 30.0 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 30.0 /* scale of color scheme bar for 2nd part */
#define COLORBAR_RANGE 1.5 /* scale of color scheme bar */
#define COLORBAR_RANGE_B 2.5 /* scale of color scheme bar for 2nd part */
#define ROTATE_COLOR_SCHEME 0 /* set to 1 to draw color scheme horizontally */
@@ -329,6 +331,12 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
phi_out[0][j] = x - tc[0][j]*(x - phi_in[1][j]) - KAPPA_SIDES*x - GAMMA_SIDES*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
delta = phi_in[1][j] + phi_in[0][j+1] + phi_in[0][j-1] - 3.0*x;
phi_out[0][j] = x - tc[0][j]*(x - phi_in[1][j]) - KAPPA_SIDES*x - GAMMA_SIDES*(x-y);
break;
}
}
psi_out[0][j] = x;
}
@@ -365,6 +373,12 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
phi_out[NX-1][j] = x - tc[NX-1][j]*(x - phi_in[NX-2][j]) - KAPPA_SIDES*x - GAMMA_SIDES*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
delta = phi_in[NX-2][j] + phi_in[NX-1][j+1] + phi_in[NX-1][j-1] - 3.0*x;
phi_out[NX-1][j] = x - tc[NX-1][j]*(x - phi_in[NX-2][j]) - KAPPA_SIDES*x - GAMMA_SIDES*(x-y);
break;
}
}
psi_out[NX-1][j] = x;
}
@@ -414,6 +428,15 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
else phi_out[i][jmid-1] = -y + 2*x + tcc[i][jmid-1]*delta - KAPPA*x - tgamma[i][jmid-1]*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
iplus = i+1; if (iplus == NX) iplus = NX-1;
iminus = i-1; if (iminus == -1) iminus = 0;
delta = phi_in[iplus][jmid-1] + phi_in[iminus][jmid-1] + phi_in[i][jmid-2] - 3.0*x;
phi_out[i][jmid-1] = -y + 2*x + tcc[i][jmid-1]*delta - KAPPA*x - tgamma[i][jmid-1]*(x-y);
break;
}
}
psi_out[i][jmid-1] = x;
}
@@ -463,6 +486,15 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
else phi_out[i][0] = -y + 2*x + tcc[i][0]*delta - KAPPA*x - tgamma[i][0]*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
iplus = (i+1); if (iplus == NX) iplus = NX-1;
iminus = (i-1); if (iminus == -1) iminus = 0;
delta = phi_in[iplus][0] + phi_in[iminus][0] + phi_in[i][1] - 3.0*x;
phi_out[i][0] = x - tc[i][0]*(x - phi_in[i][1]) - KAPPA_TOPBOT*x - GAMMA_TOPBOT*(x-y);
break;
}
}
psi_out[i][0] = x;
}
@@ -512,6 +544,15 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
else phi_out[i][NY-1] = -y + 2*x + tcc[i][NY-1]*delta - KAPPA*x - tgamma[i][NY-1]*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
iplus = (i+1); if (iplus == NX) iplus = NX-1;
iminus = (i-1); if (iminus == -1) iminus = 0;
delta = phi_in[iplus][NY-1] + phi_in[iminus][NY-1] + phi_in[i][NY-2] - 3.0*x;
phi_out[i][NY-1] = x - tc[i][NY-1]*(x - phi_in[i][NY-2]) - KAPPA_TOPBOT*x - GAMMA_TOPBOT*(x-y);
break;
}
}
psi_out[i][NY-1] = x;
}
@@ -529,7 +570,7 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
iplus = i+1; if (iplus == NX) iplus = NX-1;
iminus = i-1; if (iminus == -1) iminus = 0;
delta = phi_in[iplus][jmid] + phi_in[iminus][jmid] + phi_in[i][1] - 3.0*x;
delta = phi_in[iplus][jmid] + phi_in[iminus][jmid] + phi_in[i][jmid+1] - 3.0*x;
phi_out[i][jmid] = -y + 2*x + tcc[i][jmid]*delta - KAPPA*x - tgamma[i][jmid]*(x-y);
break;
}
@@ -561,6 +602,15 @@ void evolve_wave_half(double *phi_in[NX], double *psi_in[NX], double *phi_out[NX
else phi_out[i][jmid] = -y + 2*x + tcc[i][jmid]*delta - KAPPA*x - tgamma[i][jmid]*(x-y);
break;
}
case (BC_ABS_REFLECT):
{
iplus = i+1; if (iplus == NX) iplus = NX-1;
iminus = i-1; if (iminus == -1) iminus = 0;
delta = phi_in[iplus][jmid] + phi_in[iminus][jmid] + phi_in[i][jmid+1] - 3.0*x;
phi_out[i][jmid] = -y + 2*x + tcc[i][jmid]*delta - KAPPA*x - tgamma[i][jmid]*(x-y);
break;
}
}
psi_out[i][jmid] = x;
}
@@ -603,7 +653,7 @@ void evolve_wave(double *phi[NX], double *psi[NX], double *phi_tmp[NX], double *
void draw_color_bar(int plot, double range)
{
if (ROTATE_COLOR_SCHEME) draw_color_scheme(-1.0, -0.8, XMAX - 0.1, -1.0, plot, -range, range);
else draw_color_scheme(1.7, YMIN + 0.1, 1.9, YMAX - 0.1, plot, -range, range);
else draw_color_scheme(XMAX - 0.3, YMIN + 0.1, XMAX - 0.1, YMAX - 0.1, plot, -range, range);
}
@@ -613,7 +663,7 @@ void animation()
double time, scale, energies[6], top_energy, bottom_energy;
double *phi[NX], *psi[NX], *phi_tmp[NX], *psi_tmp[NX];
short int *xy_in[NX];
int i, j, s;
int i, j, s, counter = 0;
/* Since NX and NY are big, it seemed wiser to use some memory allocation here */
for (i=0; i<NX; i++)
@@ -630,13 +680,18 @@ void animation()
if ((B_DOMAIN == D_CIRCLES)||(B_DOMAIN_B == D_CIRCLES)) init_circle_config_comp(circles);
if ((B_DOMAIN == D_POLYGONS)|(B_DOMAIN_B == D_POLYGONS)) init_polygon_config_comp(polygons);
// for (i=0; i<ncircles; i++) printf("polygon %i at (%.3f, %.3f) radius %.3f\n", i, polygons[i].xc, polygons[i].yc, polygons[i].radius);
/* initialise polyline for von Koch and similar domains */
npolyline = init_polyline(MDEPTH, polyline);
for (i=0; i<npolyline; i++) printf("vertex %i: (%.3f, %.3f)\n", i, polyline[i].x, polyline[i].y);
courant2 = COURANT*COURANT;
courantb2 = COURANTB*COURANTB;
/* initialize wave with a drop at one point, zero elsewhere */
// init_wave_flat_comp(phi, psi, xy_in);
int_planar_wave_comp(XMIN + 0.015, 0.0, phi, psi, xy_in);
init_wave_flat_comp(phi, psi, xy_in);
// int_planar_wave_comp(XMIN + 0.015, 0.0, phi, psi, xy_in);
// int_planar_wave_comp(XMIN + 0.5, 0.0, phi, psi, xy_in);
printf("initializing wave\n");
// int_planar_wave_comp(XMIN + 0.1, 0.0, phi, psi, xy_in);
@@ -649,21 +704,21 @@ void animation()
// add_drop_to_wave(1.0, -0.7, 0.0, phi, psi);
// add_drop_to_wave(1.0, 0.0, -0.7, phi, psi);
printf("computing energies\n");
/* initialize energies */
if (COMPUTE_ENERGIES)
{
printf("computing energies\n");
compute_energy_tblr(phi, psi, xy_in, energies);
top_energy = energies[0] + energies[1] + energies[2];
bottom_energy = energies[3] + energies[4] + energies[5];
printf("computed energies\n");
}
printf("computed energies\n");
blank();
glColor3f(0.0, 0.0, 0.0);
printf("drawing wave\n");
draw_wave_comp(phi, psi, xy_in, 1.0, 0);
draw_wave_comp(phi, psi, xy_in, 1.0, 0, PLOT);
printf("drawing billiard\n");
draw_billiard_comp();
@@ -688,7 +743,7 @@ void animation()
}
else scale = 1.0;
draw_wave_comp(phi, psi, xy_in, scale, i);
draw_wave_comp(phi, psi, xy_in, scale, i, PLOT);
draw_billiard_comp();
@@ -722,6 +777,16 @@ void animation()
if ((TIME_LAPSE)&&((i - INITIAL_TIME)%TIME_LAPSE_FACTOR == 0))
{
save_frame_counter(NSTEPS + END_FRAMES + (i - INITIAL_TIME)/TIME_LAPSE_FACTOR);
counter++;
}
else if (DOUBLE_MOVIE)
{
draw_wave_comp(phi, psi, xy_in, scale, i, PLOT_B);
draw_billiard_comp();
if (DRAW_COLOR_SCHEME) draw_color_bar(PLOT_B, COLORBAR_RANGE_B);
glutSwapBuffers();
save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter);
counter++;
}
}
else printf("Initial phase time %i of %i\n", i, INITIAL_TIME);
@@ -742,7 +807,23 @@ void animation()
if (MOVIE)
{
for (i=0; i<END_FRAMES; i++) save_frame();
if (DOUBLE_MOVIE)
{
draw_wave_comp(phi, psi, xy_in, scale, i, PLOT);
draw_billiard_comp();
if (DRAW_COLOR_SCHEME) draw_color_bar(PLOT, COLORBAR_RANGE);
glutSwapBuffers();
}
for (i=0; i<MID_FRAMES; i++) save_frame();
if (DOUBLE_MOVIE)
{
draw_wave_comp(phi, psi, xy_in, scale, i, PLOT_B);
draw_billiard_comp();
if (DRAW_COLOR_SCHEME) draw_color_bar(PLOT_B, COLORBAR_RANGE_B);
glutSwapBuffers();
}
for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
if (TIME_LAPSE) for (i=0; i<END_FRAMES; i++) save_frame_counter(NSTEPS + END_FRAMES + NSTEPS/TIME_LAPSE_FACTOR + i);
s = system("mv wave*.tif tif_wave/");
}