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171
rde.c
171
rde.c
@@ -46,45 +46,49 @@
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/* General geometrical parameters */
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#define WINWIDTH 1920 /* window width */
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// #define WINWIDTH 1920 /* window width */
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#define WINWIDTH 1150 /* 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 HRES 6 /* factor for high resolution plots */
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// #define NX 960 /* number of grid points on x axis */
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#define NX 574 /* number of grid points on x axis */
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#define NY 574 /* number of grid points on y axis */
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#define HRES 1 /* factor for high resolution plots */
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#define XMIN -2.0
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#define XMAX 2.0 /* x interval */
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// #define XMIN -2.0
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// #define XMAX 2.0 /* x interval */
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#define XMIN -1.041666667
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#define XMAX 1.041666667 /* x interval */
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#define YMIN -1.041666667
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#define YMAX 1.041666667 /* y interval for 9/16 aspect ratio */
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/* Choice of simulated equation */
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#define RDE_EQUATION 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 RDE_EQUATION 9 /* choice of reaction term, see list in global_3d.c */
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#define NFIELDS 1 /* 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 SPHERE 1 /* set to 1 to simulate equation on sphere */
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#define SPHERE 0 /* set to 1 to simulate equation on sphere */
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#define DPOLE 0 /* safety distance to poles */
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#define DSMOOTH 1 /* size of neighbourhood of poles that are smoothed */
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#define SMOOTHPOLE 0.05 /* smoothing coefficient at poles */
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#define SMOOTHPOLE 0.01 /* smoothing coefficient at poles */
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#define SMOOTHCOTPOLE 0.05 /* smoothing coefficient of cotangent at poles */
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#define PHISHIFT 0.0 /* shift of phi in 2D plot (in degrees) */
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#define SMOOTHBLOCKS 1 /* set to 1 to use blocks of points near the poles */
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#define BLOCKDIST 64 /* distance to poles where points are blocked */
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#define ZERO_MERIDIAN 190.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
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#define SMOOTHBLOCKS 0 /* set to 1 to use blocks of points near the poles */
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#define BLOCKDIST 0 /* distance to poles where points are blocked */
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#define ZERO_MERIDIAN 0.0 /* choice of zero meridian (will be at left/right boundary of 2d plot) */
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#define POLE_NODRAW 2 /* distance around poles where wave is not drawn */
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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 ADD_FORCE_FIELD 0 /* 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 6 /* type of force field, see list in global_3d.c */
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#define ADD_CORIOLIS_FORCE 1 /* set to 1 to add Coriolis force (quasigeostrophic Euler equations) */
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#define VARIABLE_DEPTH 1 /* set to 1 for variable depth in shallow water equation */
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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 10 /* 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 ADAPT_STATE_TO_BC 0 /* to smoothly adapt initial state to obstacles */
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#define OBSTACLE_GEOMETRY 84 /* geometry of obstacles, as in B_DOMAIN */
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#define BC_STIFFNESS 0.25 /* 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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@@ -104,6 +108,7 @@
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#define NPOISSON 300 /* number of points for Poisson C_RAND_POISSON arrangement */
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#define PDISC_FACTOR 3.25 /* controls density of Poisson disc process (default: 3.25) */
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#define RANDOM_POLY_ANGLE 0 /* set to 1 to randomize angle of polygons */
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#define PDISC_CONNECT_FACTOR 1.5 /* controls which discs are connected for D_CIRCLE_LATTICE_POISSON domain */
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#define LAMBDA 1.0 /* parameter controlling the dimensions of domain */
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#define MU 1.0 /* parameter controlling the dimensions of domain */
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@@ -118,7 +123,8 @@
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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 WALL_WIDTH 0.05 /* width of wall separating lenses */
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#define RADIUS_FACTOR 0.3 /* controls inner radius for C_RING arrangements */
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#define WALL_WIDTH_RND 0.0 /* proportion of width of width for some random arrangements */
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#define RADIUS_FACTOR 0.3 /* controls inner radius for C_RING arrangements */
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#define X_SHOOTER -0.2
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#define Y_SHOOTER -0.6
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@@ -153,6 +159,9 @@
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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 K_KURAMOTO 12.0 /* constant in Kuramoto model */
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#define NU_KURAMOTO 0.0 /* viscosity in Kuramoto model */
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#define OMEGA_KURAMOTO 0.02 /* frequency in Kuramoto model */
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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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@@ -175,10 +184,10 @@
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#define OSCILLATING_SOURCE_PERIOD 1 /* period of oscillating source */
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#define OSCILLATING_SOURCE_OMEGA 0.2 /* frequency of oscillating source */
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#define ADD_TRACERS 1 /* set to 1 tof add tracer particles (for Euler equations) */
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#define ADD_TRACERS 0 /* set to 1 tof add tracer particles (for Euler equations) */
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#define N_TRACERS 2000 /* number of tracer particles */
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#define TRACERS_STEP 0.1 /* step size in tracer evolution */
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#define RESPAWN_TRACERS 1 /* set to 1 to randomly move tracer position */
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#define RESPAWN_TRACERS 0 /* set to 1 to randomly move tracer position */
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#define RESPAWN_PROBABILTY 0.005 /* probability of moving tracer */
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#define T_OUT 2.0 /* outside temperature */
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@@ -186,7 +195,7 @@
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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 0.01 /* noise intensity */
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#define NOISE_INTENSITY 0.5 /* noise intensity */
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#define CHANGE_NOISE 0 /* 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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@@ -218,25 +227,25 @@
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#define TANH_FACTOR 5.0 /* 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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#define ADD_MOON_FORCING 1 /* set to 1 to simulate tidal forces from Moon */
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#define ADD_MOON_FORCING 0 /* set to 1 to simulate tidal forces from Moon */
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#define FORCING_AMP 5.0e-6 /* amplitude of periodic forcing */
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#define FORCING_CONST_AMP 0.0 /* amplitude of periodic forcing */
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#define FORCING_PERIOD 1600 /* period of forcing */
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#define FORCING_SHIFT 1.5 /* phase shift of forcing in units of Pi */
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#define FORCING_SHIFT 0.0 /* phase shift of forcing in units of Pi */
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/* Boundary conditions, see list in global_pdes.c */
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#define B_COND 1
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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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#define B_COND_LEFT 1
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#define B_COND_RIGHT 1
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#define B_COND_TOP 1
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#define B_COND_BOTTOM 1
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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 80 /* number of iterations between images displayed on screen */
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#define NSTEPS 2300 /* number of frames of movie */
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#define NVID 40 /* 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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@@ -255,12 +264,12 @@
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/* Visualisation */
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#define PLOT_3D 0 /* controls whether plot is 2D or 3D */
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#define PLOT_SPHERE 1 /* draws fields on a sphere */
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#define PLOT_SPHERE 0 /* draws fields on a sphere */
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#define ROTATE_VIEW 1 /* set to 1 to rotate position of observer */
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#define ROTATE_ANGLE -45.0 /* total angle of rotation during simulation */
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#define ROTATE_ANGLE 360.0 /* total angle of rotation during simulation */
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#define SHADE_3D 0 /* set to 1 to change luminosity according to normal vector */
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#define SHADE_2D 1 /* set to 1 to change luminosity according to normal vector */
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#define SHADE_2D 0 /* set to 1 to change luminosity according to normal vector */
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#define VIEWPOINT_TRAJ 1 /* type of viewpoint trajectory */
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#define MAX_LATITUDE 45.0 /* maximal latitude for viewpoint trajectory VP_ORBIT2 */
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@@ -269,12 +278,12 @@
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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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#define CPLOT 10
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#define CPLOT_B 251
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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 10 /* 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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@@ -288,11 +297,9 @@
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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 FLOODING 1 /* set to 1 for drawing water when higher than continents */
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// #define FLOODING_VSHIFT 0.51 /* controls when wave is considered higher than land */
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#define FLOODING_VSHIFT 0.56 /* controls when wave is considered higher than land */
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#define FLOODING 0 /* set to 1 for drawing water when higher than continents */
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#define FLOODING_VSHIFT -10.0 /* controls when wave is considered higher than land */
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#define FLOODING_VSHIFT_2D 0.56 /* controls when wave is considered higher than land */
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// #define FLOODING_VSHIFT_2D 0.61 /* controls when wave is considered higher than land */
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#define PLOT_SCALE_ENERGY 0.05 /* vertical scaling in energy plot */
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@@ -322,8 +329,8 @@
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/* Color schemes, see list in global_pdes.c */
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#define COLOR_PALETTE 11 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 16 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE 10 /* Color palette, see list in global_pdes.c */
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#define COLOR_PALETTE_B 11 /* Color palette, see list in global_pdes.c */
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#define BLACK 1 /* black background */
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#define COLOR_OUT_R 1.0 /* color outside domain */
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@@ -332,14 +339,14 @@
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#define COLOR_SCHEME 3 /* choice of color scheme */
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#define PHASE_SHIFT -0.25 /* phase shift of color scheme, in units of Pi (formerly COLOR_PHASE_SHIFT) */
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#define PHASE_SHIFT 0.0 /* phase shift of color scheme, in units of Pi (formerly COLOR_PHASE_SHIFT) */
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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 VSHIFT_AMPLITUDE 0.0 /* additional shift for wave amplitude */
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#define VSCALE_AMPLITUDE 15.0 /* additional scaling factor for color scheme P_3D_AMPLITUDE */
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#define VSCALE_AMPLITUDE 0.01 /* 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 1.0 /* scaling factor for curl representation */
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#define CURL_SCALE 0.000005 /* 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 10.0 /* sensitivity of luminosity on module, for color scheme Z_ARGUMENT */
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#define MIN_SCHROD_LUM 0.1 /* minimal luminosity in color scheme Z_ARGUMENT*/
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@@ -365,7 +372,7 @@
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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 1.0 /* shift for color scheme Z_EULER_DENSITY */
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#define VSCALE_DENSITY 30.0 /* additional scaling factor for color scheme Z_EULER_DENSITY */
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#define VSCALE_VORTICITY 15.0 /* additional scaling factor for color scheme Z_EULERC_VORTICITY */
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#define VSCALE_VORTICITY 0.1 /* 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 300.0 /* additional scaling factor for z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
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#define ZSHIFT_SPEED 0.0 /* additional shift of z-coord Z_EULER_SPEED and Z_SWATER_SPEED */
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@@ -383,8 +390,8 @@
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#define COLORBAR_RANGE 3.0 /* 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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#define CIRC_COLORBAR 1 /* 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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/* 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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@@ -449,10 +456,10 @@ double observer[3] = {0.0, -6.0, 2.5}; /* location of observer for REP_PROJ_3
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int reset_view = 0; /* switch to reset 3D view parameters (for option ROTATE_VIEW) */
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/* constants for simulations on planets */
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#define ADD_DEM 1 /* add DEM (digital elevation model) */
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#define ADD_NEGATIVE_DEM 1 /* add DEM with bathymetric data */
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#define ADD_DEM 0 /* add DEM (digital elevation model) */
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#define ADD_NEGATIVE_DEM 0 /* add DEM with bathymetric data */
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#define RSCALE_DEM 0.075 /* scaling factor of radial component for DEM */
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#define SMOOTH_DEM 1 /* set to 1 to smoothen DEM (to make altitude less constant) */
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#define SMOOTH_DEM 0 /* set to 1 to smoothen DEM (to make altitude less constant) */
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#define DEM_SMOOTH_STEPS 10 /* number of smoothening steps */
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#define DEM_SMOOTH_HEIGHT 2.0 /* relative height below which to smoothen */
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#define DEM_MAXHEIGHT 9000.0 /* max height of DEM (estimated from Everest/Olympus Mons) */
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@@ -468,11 +475,12 @@ int reset_view = 0; /* switch to reset 3D view parameters (for option RO
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#define BORDER_PADDING 0 /* distance from boundary at which to plot points, to avoid boundary effects due to gradient */
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#define DRAW_ARROW 0 /* set to 1 to draw arrow above sphere */
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#define RSCALE 0.15 /* scaling factor of radial component */
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#define RSHIFT -0.075 /* shift in radial component */
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#define RMAX 2.0 /* max value of radial component */
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#define RMIN 0.5 /* min value of radial component */
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#define COS_VISIBLE -0.35 /* limit on cosine of normal to shown facets */
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#define RSCALE 0.005 /* scaling factor of radial component */
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#define RSCALE_B 1.00 /* experimental, additional radial scaling factor in ij_to_sphere */
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#define RSHIFT 0.0 /* shift in radial component */
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#define RMAX 10.0 /* max value of radial component */
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#define RMIN 0.0 /* min value of radial component */
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#define COS_VISIBLE -0.35 /* limit on cosine of normal to shown facets */
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/* For debugging purposes only */
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#define FLOOR 1 /* set to 1 to limit wave amplitude to VMAX */
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@@ -1229,7 +1237,7 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
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{
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int i, j, k, iplus, iminus, jplus, jminus, ropening, w;
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double x, y, z, deltax, deltay, deltaz, rho, rhox, rhoy, pot, u, v, ux, uy, vx, vy, test = 0.0, dx, dy, xy[2], padding, a, eta, etax, etay, sum;
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double *delta_phi[NLAPLACIANS], *nabla_phi, *nabla_psi, *nabla_omega, *delta_vorticity, *delta_pressure, *delta_p, *delta_u, *delta_v, *nabla_rho, *nabla_u, *nabla_v, *nabla_eta;
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double *delta_phi[NLAPLACIANS], *nabla_phi, *nabla_psi, *nabla_omega, *delta_vorticity, *delta_pressure, *delta_p, *delta_u, *delta_v, *nabla_rho, *nabla_u, *nabla_v, *nabla_eta, *kuramoto_int;
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// double u_bc[NY], v_bc[NY];
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static double invsqr3 = 0.577350269; /* 1/sqrt(3) */
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static int smooth = 0, y_channels, y_channels1, imin, imax, first = 1;
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@@ -1380,6 +1388,12 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
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break;
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}
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case (E_KURAMOTO):
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{
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kuramoto_int = (double *)malloc(NX*NY*sizeof(double));
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compute_kuramoto_interaction(phi_in[0], kuramoto_int, xy_in, wsphere);
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}
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default:
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{
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/* do nothing */
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@@ -1415,6 +1429,40 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
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phi_out[0][i*NY+j] = phi_in[0][i*NY+j] + intstep*(deltax + K_AC*x*(1.0-x*x));
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break;
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}
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case (E_KURAMOTO):
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{
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x = K_KURAMOTO*kuramoto_int[i*NY+j] + OMEGA_KURAMOTO;
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/* add an optional diffusion term */
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if ((NU_KURAMOTO != 0.0)&&(NLAPLACIANS > 0))
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x += NU_KURAMOTO*delta_phi[0][i*NY+j];
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x = phi_in[0][i*NY+j] + intstep*x;
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if (x > PI)
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{
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y = (x + PI)/DPI;
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phi_out[0][i*NY+j] = x - DPI*(double)((int)y);
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}
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else if (x < -PI)
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{
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y = (-x + PI)/DPI;
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phi_out[0][i*NY+j] = x + DPI*(double)((int)y);
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}
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else phi_out[0][i*NY+j] = x;
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break;
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// x = phi_in[0][i*NY+j];
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// phi_out[0][i*NY+j] = phi_in[0][i*NY+j] + intstep*(K_KURAMOTO*kuramoto_int[i*NY+j] + OMEGA_KURAMOTO);
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// if (phi_out[0][i*NY+j] > PI)
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// {
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// x = (phi_out[0][i*NY+j] + PI)/DPI;
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// phi_out[0][i*NY+j] -= DPI*(double)((int)x);
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// }
|
||||
// else if (phi_out[0][i*NY+j] < -PI)
|
||||
// {
|
||||
// x = (-phi_out[0][i*NY+j] + PI)/DPI;
|
||||
// phi_out[0][i*NY+j] += DPI*(double)((int)x);
|
||||
// }
|
||||
// break;
|
||||
}
|
||||
case (E_CAHN_HILLIARD):
|
||||
{
|
||||
/* TO DO */
|
||||
@@ -1681,6 +1729,10 @@ double gfield[2*NX*NY], t_rde rde[NX*NY], t_wave_sphere wsphere[NX*NY])
|
||||
free(delta_v);
|
||||
}
|
||||
}
|
||||
else if (RDE_EQUATION == E_KURAMOTO)
|
||||
{
|
||||
free(kuramoto_int);
|
||||
}
|
||||
|
||||
if (COMPUTE_PRESSURE)
|
||||
{
|
||||
@@ -2111,7 +2163,7 @@ void animation()
|
||||
xy_in = (short int *)malloc(NX*NY*sizeof(short int));
|
||||
rde = (t_rde *)malloc(NX*NY*sizeof(t_rde));
|
||||
|
||||
if (SPHERE)
|
||||
// if (SPHERE)
|
||||
{
|
||||
wsphere = (t_wave_sphere *)malloc(NX*NY*sizeof(t_wave_sphere));
|
||||
init_wave_sphere_rde(wsphere,1);
|
||||
@@ -2243,8 +2295,11 @@ void animation()
|
||||
// init_tidal_state(1, 0.0015, SWATER_MIN_HEIGHT, phi, xy_in, wsphere);
|
||||
|
||||
// init_linear_blob_sphere(0, 1.3*PI, 0.65*PI, 0.0, 0.0, 0.3, 0.1, 0.1, SWATER_MIN_HEIGHT, phi, xy_in, wsphere);
|
||||
|
||||
init_random(0.0, 0.4, phi, xy_in, wsphere);
|
||||
// init_random_smoothed(0.0, 0.4, phi, xy_in, wsphere);
|
||||
|
||||
init_expanding_blob_sphere(0, (279.0/180.0)*PI, (115.0/180.0)*PI, 0.75, 0.04, 0.06, SWATER_MIN_HEIGHT, phi, xy_in, wsphere);
|
||||
// init_expanding_blob_sphere(0, (279.0/180.0)*PI, (115.0/180.0)*PI, 0.75, 0.04, 0.06, SWATER_MIN_HEIGHT, phi, xy_in, wsphere);
|
||||
|
||||
// add_gaussian_wave(-1.6, -0.5, 0.015, 0.25, SWATER_MIN_HEIGHT, phi, xy_in);
|
||||
|
||||
@@ -2507,7 +2562,7 @@ void animation()
|
||||
free(phi_tmp[i]);
|
||||
}
|
||||
free(xy_in);
|
||||
if (SPHERE)
|
||||
// if (SPHERE)
|
||||
{
|
||||
free(wsphere);
|
||||
free(wsphere_hr);
|
||||
|
||||
Reference in New Issue
Block a user