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YouTube-simulations/lennardjones.c
nilsberglund-orleans 701f09b2ca
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2022-05-14 20:58:08 +02:00

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/*********************************************************************************/
/* */
/* Animation of interacting particles in a planar domain */
/* */
/* N. Berglund, november 2021 */
/* */
/* UPDATE 24/04: distinction between damping and "elasticity" parameters */
/* UPDATE 27/04: new billiard shapes, bug in color scheme fixed */
/* UPDATE 28/04: code made more efficient, with help of Marco Mancini */
/* */
/* Feel free to reuse, but if doing so it would be nice to drop a */
/* line to nils.berglund@univ-orleans.fr - Thanks! */
/* */
/* compile with */
/* gcc -o lennardjones lennardjones.c */
/* -L/usr/X11R6/lib -ltiff -lm -lGL -lGLU -lX11 -lXmu -lglut -O3 -fopenmp */
/* */
/* OMP acceleration may be more effective after executing */
/* export OMP_NUM_THREADS=2 in the shell before running the program */
/* */
/* To make a video, set MOVIE to 1 and create subfolder tif_ljones */
/* It may be possible to increase parameter PAUSE */
/* */
/* create movie using */
/* ffmpeg -i lj.%05d.tif -vcodec libx264 lj.mp4 */
/* */
/*********************************************************************************/
#include <math.h>
#include <string.h>
#include <GL/glut.h>
#include <GL/glu.h>
#include <unistd.h>
#include <sys/types.h>
#include <tiffio.h> /* Sam Leffler's libtiff library. */
#include <omp.h>
#include <time.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 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 */
/* General geometrical parameters */
#define WINWIDTH 1280 /* window width */
#define WINHEIGHT 720 /* window height */
#define XMIN -2.0
#define XMAX 2.0 /* x interval */
#define YMIN -1.125
#define YMAX 1.125 /* y interval for 9/16 aspect ratio */
#define INITXMIN -0.7
#define INITXMAX 0.7 /* x interval for initial condition */
#define INITYMIN 0.1
#define INITYMAX 0.6 /* y interval for initial condition */
#define BCXMIN -0.7
#define BCXMAX 0.7 /* x interval for boundary condition */
#define BCYMIN -0.85
#define BCYMAX 0.85 /* y interval for boundary condition */
#define OBSXMIN -2.0
#define OBSXMAX 2.0 /* x interval for motion of obstacle */
#define CIRCLE_PATTERN 8 /* pattern of circles, see list in global_ljones.c */
#define ADD_FIXED_OBSTACLES 0 /* set to 1 do add fixed circular obstacles */
#define OBSTACLE_PATTERN 2 /* 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 2 /* pattern of repelling segments, see list in global_ljones.c */
#define TWO_TYPES 0 /* set to 1 to have two types of particles */
#define TPYE_PROPORTION 0.8 /* proportion of particles of first type */
#define SYMMETRIZE_FORCE 1 /* set to 1 to symmetrize two-particle interaction, only needed if particles are not all the same */
#define CENTER_PX 0 /* set to 1 to center horizontal momentum */
#define CENTER_PY 0 /* set to 1 to center vertical momentum */
#define CENTER_PANGLE 0 /* set to 1 to center angular momentum */
#define INTERACTION 1 /* particle interaction, see list in global_ljones.c */
#define INTERACTION_B 1 /* particle interaction for second type of particle, see list in global_ljones.c */
#define SPIN_INTER_FREQUENCY 5.0 /* angular frequency of spin-spin interaction */
#define SPIN_INTER_FREQUENCY_B 2.0 /* angular frequency of spin-spin interaction for second particle type */
#define P_PERCOL 0.25 /* probability of having a circle in C_RAND_PERCOL arrangement */
#define NPOISSON 100 /* number of points for Poisson C_RAND_POISSON arrangement */
#define PDISC_DISTANCE 2.75 /* 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 2.0 /* parameter controlling the dimensions of domain */
#define MU 0.013 /* parameter controlling radius of particles */
#define MU_B 0.0254 /* parameter controlling radius of particles of second type */
#define NPOLY 3 /* number of sides of polygon */
#define APOLY 0.666666666 /* angle by which to turn polygon, in units of Pi/2 */
#define MDEPTH 4 /* depth of computation of Menger gasket */
#define MRATIO 3 /* ratio defining Menger gasket */
#define MANDELLEVEL 1000 /* iteration level for Mandelbrot set */
#define MANDELLIMIT 10.0 /* limit value for approximation of Mandelbrot set */
#define FOCI 1 /* set to 1 to draw focal points of ellipse */
#define NGRIDX 46 /* number of grid point for grid of disks */
#define NGRIDY 24 /* 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 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 5500 /* number of frames of movie */
#define NVID 650 /* number of iterations between images displayed on screen */
#define NSEG 250 /* number of segments of boundary */
#define INITIAL_TIME 10 /* time after which to start saving frames */
#define BOUNDARY_WIDTH 1 /* width of particle boundary */
#define LINK_WIDTH 2 /* width of links between particles */
#define CONTAINER_WIDTH 4 /* width of container boundary */
#define PAUSE 1000 /* number of frames after which to pause */
#define PSLEEP 1 /* sleep time during pause */
#define SLEEP1 1 /* initial sleeping time */
#define SLEEP2 1 /* final sleeping time */
#define MID_FRAMES 20 /* number of still frames between parts of two-part movie */
#define END_FRAMES 100 /* number of still frames at end of movie */
/* Boundary conditions, see list in global_ljones.c */
#define BOUNDARY_COND 0
/* Plot type, see list in global_ljones.c */
#define PLOT 0
#define PLOT_B 8 /* plot type for second movie */
#define COLOR_BONDS 1 /* set to 1 to color bonds according to length */
/* Color schemes */
#define COLOR_PALETTE 10 /* Color palette, see list in global_ljones.c */
#define BLACK 1 /* background */
#define COLOR_SCHEME 3 /* choice of color scheme, see list in global_ljones.c */
#define SCALE 0 /* set to 1 to adjust color scheme to variance of field */
#define SLOPE 0.5 /* sensitivity of color on wave amplitude */
#define ATTENUATION 0.0 /* exponential attenuation coefficient of contrast with time */
#define COLORHUE 260 /* initial hue of water color for scheme C_LUM */
#define COLORDRIFT 0.0 /* how much the color hue drifts during the whole simulation */
#define LUMMEAN 0.5 /* amplitude of luminosity variation for scheme C_LUM */
#define LUMAMP 0.3 /* amplitude of luminosity variation for scheme C_LUM */
#define HUEMEAN 220.0 /* mean value of hue for color scheme C_HUE */
#define HUEAMP -50.0 /* amplitude of variation of hue for color scheme C_HUE */
/* particle properties */
#define ENERGY_HUE_MIN 330.0 /* color of original particle */
#define ENERGY_HUE_MAX 50.0 /* color of saturated particle */
#define PARTICLE_HUE_MIN 359.0 /* color of original particle */
#define PARTICLE_HUE_MAX 0.0 /* color of saturated particle */
#define PARTICLE_EMAX 2.0e2 /* energy of particle with hottest color */
#define HUE_TYPE0 280.0 /* hue of particles of type 0 */
#define HUE_TYPE1 135.0 /* hue of particles of type 1 */
#define HUE_TYPE2 70.0 /* hue of particles of type 1 */
#define HUE_TYPE3 210.0 /* hue of particles of type 1 */
#define RANDOM_RADIUS 0 /* set to 1 for random circle radius */
#define DT_PARTICLE 5.0e-7 /* time step for particle displacement */
#define KREPEL 12.0 /* constant in repelling force between particles */
#define EQUILIBRIUM_DIST 4.0 /* Lennard-Jones equilibrium distance */
#define EQUILIBRIUM_DIST_B 5.0 /* Lennard-Jones equilibrium distance for second type of particle */
#define REPEL_RADIUS 20.0 /* radius in which repelling force acts (in units of particle radius) */
#define DAMPING 0.0 /* damping coefficient of particles */
#define PARTICLE_MASS 1.0 /* mass of particle of radius MU */
#define PARTICLE_MASS_B 1.0 /* mass of particle of radius MU */
#define PARTICLE_INERTIA_MOMENT 0.2 /* moment of inertia of particle */
#define PARTICLE_INERTIA_MOMENT_B 0.02 /* moment of inertia of second type of particle */
#define V_INITIAL 10.0 /* initial velocity range */
#define OMEGA_INITIAL 10.0 /* initial angular velocity range */
#define THERMOSTAT 1 /* 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 0.01 /* initial inverse temperature */
#define MU_XI 0.01 /* friction constant in thermostat */
#define KSPRING_BOUNDARY 5.0e9 /* confining harmonic potential outside simulation region */
#define KSPRING_OBSTACLE 5.0e9 /* harmonic potential of obstacles */
#define NBH_DIST_FACTOR 4.5 /* radius in which to count neighbours */
#define GRAVITY 10000.0 /* gravity acting on all particles */
#define INCREASE_GRAVITY 0 /* set to 1 to increase gravity during the simulation */
#define GRAVITY_FACTOR 100.0 /* factor by which to increase gravity */
#define GRAVITY_INITIAL_TIME 500 /* time at start of simulation with constant gravity */
#define GRAVITY_RESTORE_TIME 1000 /* time at end of simulation with gravity restored to initial value */
#define ROTATION 0 /* set to 1 to include rotation of particles */
#define COUPLE_ANGLE_TO_THERMOSTAT 0 /* set to 1 to couple angular degrees of freedom to thermostat */
#define DIMENSION_FACTOR 1.0 /* scaling factor taking into account number of degrees of freedom */
#define KTORQUE 50.0 /* force constant in angular dynamics */
#define KTORQUE_B 10.0 /* force constant in angular dynamics */
#define KTORQUE_DIFF 150.0 /* force constant in angular dynamics for different particles */
#define DRAW_SPIN 0 /* set to 1 to draw spin vectors of particles */
#define DRAW_SPIN_B 0 /* set to 1 to draw spin vectors of particles */
#define DRAW_CROSS 1 /* set to 1 to draw cross on particles of second type */
#define SPIN_RANGE 7.0 /* range of spin-spin interaction */
#define SPIN_RANGE_B 5.0 /* range of spin-spin interaction for second type of particle */
#define QUADRUPOLE_RATIO 0.6 /* anisotropy in quadrupole potential */
#define INCREASE_BETA 0 /* set to 1 to increase BETA during simulation */
#define BETA_FACTOR 20.0 /* 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 FINAL_CONSTANT_PHASE 2000 /* final phase in which temperature is constant */
#define DECREASE_CONTAINER_SIZE 0 /* set to 1 to decrease size of container */
#define SYMMETRIC_DECREASE 0 /* set tp 1 to decrease container symmetrically */
#define COMPRESSION_RATIO 0.3 /* final size of container */
#define RESTORE_CONTAINER_SIZE 1 /* set to 1 to restore container to initial size at end of simulation */
#define RESTORE_TIME 700 /* time before end of sim at which to restore size */
#define MOVE_OBSTACLE 0 /* set to 1 to have a moving obstacle */
#define CENTER_VIEW_ON_OBSTACLE 0 /* set to 1 to center display on moving obstacle */
#define RESAMPLE_Y 0 /* set to 1 to resample y coordinate of moved particles (for shock waves) */
#define NTRIALS 2000 /* number of trials when resampling */
#define OBSTACLE_RADIUS 0.12 /* radius of obstacle for circle boundary conditions */
#define FUNNEL_WIDTH 0.25 /* funnel width for funnel boundary conditions */
#define OBSTACLE_XMIN 0.0 /* initial position of obstacle */
#define OBSTACLE_XMAX 3.0 /* final position of obstacle */
#define RECORD_PRESSURES 0 /* set to 1 to record pressures on obstacle */
#define N_PRESSURES 100 /* number of intervals to record pressure */
#define N_P_AVERAGE 100 /* size of pressure averaging window */
#define N_T_AVERAGE 50 /* size of temperature averaging window */
#define MAX_PRESSURE 3.0e10 /* pressure shown in "hottest" color */
#define PARTIAL_THERMO_COUPLING 0 /* set to 1 to couple only particles to the right of obstacle to thermostat */
#define PARTIAL_THERMO_REGION 1 /* region for partial thermostat coupling (see list in global_ljones.c) */
#define PARTIAL_THERMO_SHIFT 0.5 /* distance from obstacle at the right of which particles are coupled to thermostat */
#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 500 /* time at which to add first particle */
#define ADD_PERIOD 250 /* time interval between adding further particles */
#define FINAL_NOADD_PERIOD 200 /* final period where no particles are added */
#define SAFETY_FACTOR 2.0 /* no particles are added at distance less than MU*SAFETY_FACTOR of other particles */
#define TRACER_PARTICLE 0 /* set to 1 to have a tracer particle */
#define N_TRACER_PARTICLES 3 /* number of tracer particles */
#define TRAJECTORY_LENGTH 8000 /* length of recorded trajectory */
#define TRACER_PARTICLE_MASS 4.0 /* relative mass of tracer particle */
#define TRAJECTORY_WIDTH 3 /* width of tracer particle trajectory */
#define ROTATE_BOUNDARY 1 /* 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 2500 /* period of rotating boundary */
#define ROTATE_INITIAL_TIME 0 /* initial time without rotation */
#define ROTATE_FINAL_TIME 500 /* final time without rotation */
#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 MOVE_BOUNDARY 0 /* set to 1 to move repelling segments, due to force from particles */
#define SEGMENTS_MASS 100.0 /* mass of collection of segments */
#define DEACTIVATE_SEGMENT 1 /* set to 1 to deactivate last segment after a certain time */
#define SEGMENT_DEACTIVATION_TIME 1000 /* time at which to deactivate last segment */
#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 vertical */
#define PRINT_ENTROPY 0 /* set to 1 to compute entropy */
#define REACTION_DIFFUSION 0 /* set to 1 to simulate a chemical reaction (particles may change type) */
#define RD_TYPES 3 /* number of types in reaction-diffusion equation */
#define REACTION_PROB 0.03 /* probability controlling reaction term */
#define PRINT_PARTICLE_NUMBER 0 /* set to 1 to print total number of particles */
#define PRINT_LEFT 0 /* set to 1 to print certain parameters at the top left instead of right */
#define 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 500 /* time during which to keep wall */
#define FLOOR_FORCE 1 /* set to 1 to limit force on particle to FMAX */
#define FMAX 1.0e9 /* maximal force */
#define FLOOR_OMEGA 1 /* set to 1 to limit particle momentum to PMAX */
#define PMAX 1000.0 /* maximal force */
#define HASHX 40 /* size of hashgrid in x direction */
#define HASHY 20 /* 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 NO_WRAP_BC ((BOUNDARY_COND != BC_PERIODIC)&&(BOUNDARY_COND != BC_PERIODIC_CIRCLE)&&(BOUNDARY_COND != BC_PERIODIC_TRIANGLE)&&(BOUNDARY_COND != BC_KLEIN)&&(BOUNDARY_COND != BC_PERIODIC_FUNNEL)&&(BOUNDARY_COND != BC_BOY)&&(BOUNDARY_COND != BC_GENUS_TWO))
#define PERIODIC_BC ((BOUNDARY_COND == BC_PERIODIC)||(BOUNDARY_COND == BC_PERIODIC_CIRCLE)||(BOUNDARY_COND == BC_PERIODIC_FUNNEL)||(BOUNDARY_COND == BC_PERIODIC_TRIANGLE))
double xshift = 0.0; /* x shift of shown window */
double xspeed = 0.0; /* x speed of obstacle */
double ylid = 0.9; /* y coordinate of lid (for BC_RECTANGLE_LID b.c.) */
double vylid = 0.0; /* y speed coordinate of lid (for BC_RECTANGLE_LID b.c.) */
double xwall = 0.0; /* x coordinate of wall (for BC_RECTANGLE_WALL b.c.) */
double vxwall = 0.0; /* x speed of wall (for BC_RECTANGLE_WALL b.c.) */
double angular_speed = 0.0; /* angular speed of rotating segments */
double xsegments = 0.0; /* x coordinate of segments (for option MOVE_BOUNDARY) */
double ysegments = 0.0; /* y coordinate of segments (for option MOVE_BOUNDARY) */
double vxsegments = 0.0; /* vx coordinate of segments (for option MOVE_BOUNDARY) */
double vysegments = 0.0; /* vy coordinate of segments (for option MOVE_BOUNDARY) */
int thermostat_on = 1; /* thermostat switch used when VARY_THERMOSTAT is on */
#define THERMOSTAT_ON ((THERMOSTAT)&&((!VARY_THERMOSTAT)||(thermostat_on)))
#include "global_ljones.c"
#include "sub_lj.c"
#include "sub_hashgrid.c"
/*********************/
/* animation part */
/*********************/
double repel_schedule(int i)
{
static double kexponent;
static int first = 1;
double krepel;
if (first)
{
kexponent = log(KREPEL_FACTOR)/(double)(INITIAL_TIME + NSTEPS);
first = 0;
}
krepel = KREPEL*exp(kexponent*(double)i);
printf("krepel = %.3lg\n", krepel);
return(krepel);
}
double temperature_schedule(int i)
{
static double bexponent, omega;
static int first = 1;
double beta;
if (first)
{
bexponent = log(BETA_FACTOR)/(double)(NSTEPS - FINAL_CONSTANT_PHASE);
omega = N_TOSCILLATIONS*DPI/(double)(NSTEPS - FINAL_CONSTANT_PHASE);
first = 0;
}
if (i < INITIAL_TIME) beta = BETA;
else if (i > INITIAL_TIME + NSTEPS - FINAL_CONSTANT_PHASE) beta = BETA*BETA_FACTOR;
else
{
beta = BETA*exp(bexponent*(double)(i - INITIAL_TIME));
if (!NO_OSCILLATION) beta = beta*2.0/(1.0 + cos(omega*(double)(i - INITIAL_TIME)));
}
printf("beta = %.3lg\n", beta);
return(beta);
}
double container_size_schedule(int i)
{
if ((i < INITIAL_TIME)||(i > INITIAL_TIME + NSTEPS - RESTORE_TIME)) return(INITXMIN);
else
return(INITXMIN + (1.0-COMPRESSION_RATIO)*(INITXMAX-INITXMIN)*(double)(i-INITIAL_TIME)/(double)(NSTEPS-RESTORE_TIME));
}
double obstacle_schedule_old(int i)
{
double time;
static double t1 = 0.5, t2 = 0.75, t3 = 0.875;
if (i < INITIAL_TIME) return(OBSTACLE_XMIN);
else
{
time = (double)(i-INITIAL_TIME)/(double)(NSTEPS);
if (time < t1) return(OBSTACLE_XMIN + (OBSTACLE_XMAX - OBSTACLE_XMIN)*time/t1);
else if (time < t2) return(OBSTACLE_XMIN + (OBSTACLE_XMAX - OBSTACLE_XMIN)*(time - t1)/(t2 - t1));
else if (time < t3) return(OBSTACLE_XMIN + (OBSTACLE_XMAX - OBSTACLE_XMIN)*(time - t2)/(t3 - t2));
else return(OBSTACLE_XMAX);
}
}
double obstacle_schedule(int i)
{
double time, acceleration = 40.0;
double x;
// static double t1 = 0.5, t2 = 0.75, t3 = 0.875;
if (i < INITIAL_TIME) return(OBSTACLE_XMIN);
else
{
time = (double)(i-INITIAL_TIME)/(double)(NSTEPS);
x = OBSTACLE_XMIN + 0.5*acceleration*time*time;
xspeed = acceleration*time;
// while (x > OBSXMAX) x += OBSXMIN - OBSXMAX;
return(x);
}
}
double obstacle_schedule_smooth(int i, int j)
{
double time, acceleration = 50.0;
double x;
// static double t1 = 0.5, t2 = 0.75, t3 = 0.875;
if (i < INITIAL_TIME) return(OBSTACLE_XMIN);
else
{
time = ((double)(i-INITIAL_TIME) + (double)j/(double)NVID)/(double)(NSTEPS);
x = OBSTACLE_XMIN + 0.5*acceleration*time*time;
xspeed = acceleration*time;
// while (x > OBSXMAX) x += OBSXMIN - OBSXMAX;
return(x);
}
}
double gravity_schedule(int i, int j)
{
double time, gravity;
if ((i < INITIAL_TIME + GRAVITY_INITIAL_TIME)||(i > NSTEPS + INITIAL_TIME - GRAVITY_RESTORE_TIME)) return(GRAVITY);
else
{
time = ((double)(i - INITIAL_TIME - GRAVITY_INITIAL_TIME)
+ (double)j/(double)NVID)/(double)(NSTEPS - GRAVITY_RESTORE_TIME - GRAVITY_INITIAL_TIME);
gravity = GRAVITY*(1.0 + time*(GRAVITY_FACTOR - 1.0));
// printf("i = %i, time = %.3lg, Gravity = %.3lg\n", i, time, gravity);
return(gravity);
}
}
double rotation_angle(double phase)
{
double omegamax = 15.0;
/* case of rotating hourglass */
while (phase > DPI) phase -= DPI;
return(phase - 0.5*sin(2.0*phase));
/* case of centrifuge */
// while (phase > DPI) phase -= DPI;
// angular_speed = 0.5*omegamax*(1.0 - cos(phase));
// return(0.5*omegamax*(phase - sin(phase)));
}
double rotation_schedule(int i)
{
double phase;
static int imin = INITIAL_TIME + ROTATE_INITIAL_TIME, imax = INITIAL_TIME + NSTEPS - ROTATE_FINAL_TIME;
if (i < imin)
{
angular_speed = 0.0;
return(0.0);
}
else
{
if (i > imax) i = imax;
phase = (DPI/(double)PERIOD_ROTATE_BOUNDARY)*(double)(i - imin);
return(rotation_angle(phase));
}
}
double rotation_schedule_smooth(int i, int j)
{
double phase;
static int imin = INITIAL_TIME + ROTATE_INITIAL_TIME, imax = INITIAL_TIME + NSTEPS - ROTATE_FINAL_TIME;
if (i < imin)
{
angular_speed = 0.0;
return(0.0);
}
else
{
if (i > imax) i = imax;
phase = (DPI/(double)PERIOD_ROTATE_BOUNDARY)*((double)(i - imin) + (double)j/(double)NVID);
return(rotation_angle(phase));
}
}
int thermostat_schedule(int i)
{
if (i < INITIAL_TIME) return(1);
else return(0);
}
double evolve_particles(t_particle particle[NMAXCIRCLES], t_hashgrid hashgrid[HASHX*HASHY],
double qx[NMAXCIRCLES], double qy[NMAXCIRCLES], double qangle[NMAXCIRCLES],
double px[NMAXCIRCLES], double py[NMAXCIRCLES], double pangle[NMAXCIRCLES],
double beta, int *nactive, int *nsuccess, int *nmove)
{
double a, totalenergy = 0.0;
static double b = 0.25*SIGMA*SIGMA*DT_PARTICLE/MU_XI, xi = 0.0;
int j, move;
#pragma omp parallel for private(j,xi,totalenergy,a,move)
for (j=0; j<ncircles; j++) if (particle[j].active)
{
particle[j].vx = px[j] + 0.5*DT_PARTICLE*particle[j].fx;
particle[j].vy = py[j] + 0.5*DT_PARTICLE*particle[j].fy;
particle[j].omega = pangle[j] + 0.5*DT_PARTICLE*particle[j].torque;
px[j] = particle[j].vx + 0.5*DT_PARTICLE*particle[j].fx;
py[j] = particle[j].vy + 0.5*DT_PARTICLE*particle[j].fy;
pangle[j] = particle[j].omega + 0.5*DT_PARTICLE*particle[j].torque;
particle[j].energy = (px[j]*px[j] + py[j]*py[j])*particle[j].mass_inv;
if ((COUPLE_ANGLE_TO_THERMOSTAT)&&(particle[j].thermostat))
particle[j].energy += pangle[j]*pangle[j]*particle[j].inertia_moment_inv;
qx[j] = particle[j].xc + 0.5*DT_PARTICLE*px[j]*particle[j].mass_inv;
qy[j] = particle[j].yc + 0.5*DT_PARTICLE*py[j]*particle[j].mass_inv;
qangle[j] = particle[j].angle + 0.5*DT_PARTICLE*pangle[j]*particle[j].inertia_moment_inv;
if ((THERMOSTAT_ON)&&(particle[j].thermostat))
{
px[j] *= exp(- 0.5*DT_PARTICLE*xi);
py[j] *= exp(- 0.5*DT_PARTICLE*xi);
}
if ((COUPLE_ANGLE_TO_THERMOSTAT)&&(particle[j].thermostat))
pangle[j] *= exp(- 0.5*DT_PARTICLE*xi);
}
/* compute kinetic energy */
// *nactive = 0;
for (j=0; j<ncircles; j++)
if ((particle[j].active)&&(particle[j].thermostat))
{
totalenergy += particle[j].energy;
// *nactive++;
}
totalenergy *= DIMENSION_FACTOR; /* normalize energy to take number of degrees of freedom into account */
if (THERMOSTAT_ON)
{
a = DT_PARTICLE*(totalenergy - (double)*nactive/beta)/MU_XI;
a += SIGMA*sqrt(DT_PARTICLE)*gaussian();
xi = (xi + a - b*xi)/(1.0 + b);
}
move = 0;
for (j=0; j<ncircles; j++) if (particle[j].active)
{
if ((THERMOSTAT_ON)&&(particle[j].thermostat))
{
px[j] *= exp(- 0.5*DT_PARTICLE*xi);
py[j] *= exp(- 0.5*DT_PARTICLE*xi);
}
else
{
px[j] *= exp(- DT_PARTICLE*DAMPING);
py[j] *= exp(- DT_PARTICLE*DAMPING);
}
if ((COUPLE_ANGLE_TO_THERMOSTAT)&&(particle[j].thermostat))
pangle[j] *= exp(- 0.5*DT_PARTICLE*xi);
particle[j].xc = qx[j] + 0.5*DT_PARTICLE*px[j]*particle[j].mass_inv;
particle[j].yc = qy[j] + 0.5*DT_PARTICLE*py[j]*particle[j].mass_inv;
particle[j].angle = qangle[j] + 0.5*DT_PARTICLE*pangle[j]*particle[j].inertia_moment_inv;
// particle[j].vx = px[j] + 0.5*DT_PARTICLE*particle[j].fx;
// particle[j].vy = py[j] + 0.5*DT_PARTICLE*particle[j].fy;
// particle[j].omega = pangle[j] + 0.5*DT_PARTICLE*particle[j].torque;
/* TO DO: move this to function wrap_particle */
if ((BOUNDARY_COND == BC_PERIODIC_CIRCLE)||(BOUNDARY_COND == BC_PERIODIC_FUNNEL)||(BOUNDARY_COND == BC_PERIODIC_TRIANGLE))
{
// if (particle[j].xc < BCXMIN)
if (particle[j].xc < xshift + BCXMIN)
{
particle[j].xc += BCXMAX - BCXMIN;
if (RESAMPLE_Y)
{
*nmove++;
if (resample_particle(j, NTRIALS, particle) == 1)
{
px[j] = particle[j].vx;
py[j] = particle[j].vy;
update_hashgrid(particle, hashgrid, 0);
*nsuccess++;
}
}
}
// else if (particle[j].xc > BCXMAX)
else if (particle[j].xc > xshift + BCXMAX)
{
particle[j].xc += BCXMIN - BCXMAX;
}
if (particle[j].yc > BCYMAX) particle[j].yc += BCYMIN - BCYMAX;
else if (particle[j].yc < BCYMIN) particle[j].yc += BCYMAX - BCYMIN;
}
else if (!NO_WRAP_BC)
{
move += wrap_particle(&particle[j], &px[j], &py[j]);
}
// if (move > 0)
// {
// compute_relative_positions(particle, hashgrid);
// update_hashgrid(particle, hashgrid, 0); /* REDUNDANT ? */
// }
}
return(totalenergy);
}
void evolve_lid(double fboundary)
{
double force;
force = fboundary - GRAVITY*LID_MASS;
if (ylid > BCYMAX + LID_WIDTH) force -= KSPRING_BOUNDARY*(ylid - BCYMAX - LID_WIDTH);
vylid += force*DT_PARTICLE/LID_MASS;
ylid += vylid*DT_PARTICLE;
}
void evolve_wall(double fboundary)
{
double force;
force = fboundary;
if (xwall > BCYMAX - WALL_WIDTH) force -= KSPRING_BOUNDARY*(xwall - BCYMAX + WALL_WIDTH);
else if (xwall < BCYMIN + WALL_WIDTH) force += KSPRING_BOUNDARY*(BCYMIN + WALL_WIDTH - xwall);
force -= vxwall*WALL_FRICTION;
vxwall += fboundary*DT_PARTICLE/WALL_MASS;
if (vxwall > WALL_VMAX) vxwall = WALL_VMAX;
else if (vxwall < -WALL_VMAX) vxwall = -WALL_VMAX;
xwall += vxwall*DT_PARTICLE;
// printf("fboundary = %.3lg, xwall = %.3lg, vxwall = %.3lg\n", fboundary, xwall, vxwall);
}
void evolve_segments(t_segment segment[NMAXSEGMENTS])
{
int i, nactive = 0;
double fx = 0.0, fy = 0.0;
for (i=0; i<nsegments; i++) if (segment[i].active)
{
fx += segment[i].fx;
fy += segment[i].fy;
nactive++;
}
if (nactive > 0)
{
fx = fx/(double)nactive;
fy = fy/(double)nactive;
}
if (FLOOR_FORCE)
{
if (fx > FMAX) fx = FMAX;
else if (fx < -FMAX) fx = -FMAX;
if (fy > FMAX) fy = FMAX;
else if (fy < -FMAX) fy = -FMAX;
}
vxsegments += fx*DT_PARTICLE/(SEGMENTS_MASS);
vysegments += fy*DT_PARTICLE/(SEGMENTS_MASS);
xsegments += vxsegments*DT_PARTICLE;
ysegments += vysegments*DT_PARTICLE;
/* to avoid numerical instabilities */
if (xsegments + 1.0 > BCXMAX)
{
xsegments = BCXMAX - 1.0;
vxsegments = 0.0;
}
translate_segments(segment, xsegments, ysegments);
}
void animation()
{
double time, scale, diss, rgb[3], dissip, gradient[2], x, y, dx, dy, dt, xleft, xright, a, b,
length, fx, fy, force[2], totalenergy = 0.0, krepel = KREPEL, pos[2], prop, vx,
beta = BETA, xi = 0.0, xmincontainer = BCXMIN, xmaxcontainer = BCXMAX, torque, torque_ij,
fboundary = 0.0, pleft = 0.0, pright = 0.0, entropy[2], mean_energy, gravity = GRAVITY;
double *qx, *qy, *px, *py, *qangle, *pangle, *pressure;
int i, j, k, n, m, s, ij[2], i0, iplus, iminus, j0, jplus, jminus, p, q, p1, q1, p2, q2, total_neighbours = 0,
min_nb, max_nb, close, wrapx = 0, wrapy = 0, nactive = 0, nadd_particle = 0, nmove = 0, nsuccess = 0,
tracer_n[N_TRACER_PARTICLES], traj_position = 0, traj_length = 0, move = 0, old, m0, floor, nthermo, wall = 0;
static int imin, imax;
static short int first = 1;
t_particle *particle;
t_obstacle *obstacle;
t_segment *segment;
t_tracer *trajectory;
t_hashgrid *hashgrid;
char message[100];
particle = (t_particle *)malloc(NMAXCIRCLES*sizeof(t_particle)); /* particles */
if (ADD_FIXED_OBSTACLES) obstacle = (t_obstacle *)malloc(NMAXOBSTACLES*sizeof(t_obstacle)); /* circular obstacles */
if (ADD_FIXED_SEGMENTS) segment = (t_segment *)malloc(NMAXSEGMENTS*sizeof(t_segment)); /* linear obstacles */
if (TRACER_PARTICLE) trajectory = (t_tracer *)malloc(TRAJECTORY_LENGTH*N_TRACER_PARTICLES*sizeof(t_tracer));
hashgrid = (t_hashgrid *)malloc(HASHX*HASHY*sizeof(t_hashgrid)); /* hashgrid */
qx = (double *)malloc(NMAXCIRCLES*sizeof(double));
qy = (double *)malloc(NMAXCIRCLES*sizeof(double));
px = (double *)malloc(NMAXCIRCLES*sizeof(double));
py = (double *)malloc(NMAXCIRCLES*sizeof(double));
qangle = (double *)malloc(NMAXCIRCLES*sizeof(double));
pangle = (double *)malloc(NMAXCIRCLES*sizeof(double));
pressure = (double *)malloc(N_PRESSURES*sizeof(double));
/* initialise positions and radii of circles */
init_particle_config(particle);
init_hashgrid(hashgrid);
xshift = OBSTACLE_XMIN;
if (ADD_FIXED_OBSTACLES) init_obstacle_config(obstacle);
if (ADD_FIXED_SEGMENTS) init_segment_config(segment);
if (RECORD_PRESSURES) for (i=0; i<N_PRESSURES; i++) pressure[i] = 0.0;
// printf("1\n");
nactive = initialize_configuration(particle, hashgrid, obstacle, px, py, pangle, tracer_n);
// xi = 0.0;
// for (i=0; i<ncircles; i++)
// {
// printf("Particle %i at (%.3f, %.3f) of energy %.3f\n", i, particle[i].xc, particle[i].yc, particle[i].energy);
// }
sleep(1);
update_hashgrid(particle, hashgrid, 1);
compute_relative_positions(particle, hashgrid);
blank();
// glColor3f(0.0, 0.0, 0.0);
glutSwapBuffers();
sleep(SLEEP1);
for (i=0; i<=INITIAL_TIME + NSTEPS; i++)
{
printf("Computing frame %d\n",i);
if (INCREASE_KREPEL) krepel = repel_schedule(i);
if (INCREASE_BETA) beta = temperature_schedule(i);
if (DECREASE_CONTAINER_SIZE)
{
xmincontainer = container_size_schedule(i);
if (SYMMETRIC_DECREASE) xmaxcontainer = -container_size_schedule(i);
}
if ((ROTATE_BOUNDARY)&&(!SMOOTH_ROTATION)) rotate_segments(segment, rotation_schedule(i));
if (VARY_THERMOSTAT)
{
thermostat_on = thermostat_schedule(i);
printf("Termostat: %i\n", thermostat_on);
}
if ((DEACTIVATE_SEGMENT)&&(i > INITIAL_TIME + SEGMENT_DEACTIVATION_TIME))
segment[nsegments-1].active = 0;
blank();
fboundary = 0.0;
pleft = 0.0;
pright = 0.0;
if (RECORD_PRESSURES) for (j=0; j<N_PRESSURES; j++) pressure[j] = 0.0;
for(n=0; n<NVID; n++)
{
if (MOVE_OBSTACLE)
{
xmincontainer = obstacle_schedule_smooth(i, n);
xshift = xmincontainer;
}
if ((ROTATE_BOUNDARY)&&(SMOOTH_ROTATION)) rotate_segments(segment, rotation_schedule_smooth(i,n));
if (INCREASE_GRAVITY) gravity = gravity_schedule(i,n);
if ((BOUNDARY_COND == BC_RECTANGLE_WALL)&&(i < INITIAL_TIME + WALL_TIME)) wall = 1;
else wall = 0;
if (MOVE_BOUNDARY) for (j=0; j<nsegments; j++)
{
segment[j].fx = 0.0;
segment[j].fy = 0.0;
}
compute_relative_positions(particle, hashgrid);
update_hashgrid(particle, hashgrid, 0);
/* compute forces on particles */
for (j=0; j<ncircles; j++) if (particle[j].active)
{
particle[j].fx = 0.0;
particle[j].fy = 0.0;
particle[j].torque = 0.0;
/* compute force from other particles */
compute_particle_force(j, krepel, particle, hashgrid);
/* take care of boundary conditions */
fboundary += compute_boundary_force(j, particle, obstacle, segment, xmincontainer, xmaxcontainer, &pleft, &pright, pressure, wall);
/* add gravity */
if (INCREASE_GRAVITY) particle[j].fy -= gravity;
else particle[j].fy -= GRAVITY;
if (FLOOR_FORCE)
{
if (particle[j].fx > FMAX) particle[j].fx = FMAX;
if (particle[j].fx < -FMAX) particle[j].fx = -FMAX;
if (particle[j].fy > FMAX) particle[j].fy = FMAX;
if (particle[j].fy < -FMAX) particle[j].fy = -FMAX;
if (particle[j].torque > FMAX) particle[j].torque = FMAX;
if (particle[j].torque < -FMAX) particle[j].torque = -FMAX;
}
}
/* timestep of thermostat algorithm */
totalenergy = evolve_particles(particle, hashgrid, qx, qy, qangle, px, py, pangle, beta, &nactive, &nsuccess, &nmove);
/* evolution of lid coordinate */
if (BOUNDARY_COND == BC_RECTANGLE_LID) evolve_lid(fboundary);
if (BOUNDARY_COND == BC_RECTANGLE_WALL)
{
if (i < INITIAL_TIME + WALL_TIME) evolve_wall(fboundary);
else xwall = 0.0;
}
if (MOVE_BOUNDARY) evolve_segments(segment);
} /* end of for (n=0; n<NVID; n++) */
if (MOVE_BOUNDARY) printf("segments position (%.3lg, %.3lg), speed (%.3lg, %.3lg)\n", xsegments, ysegments, vxsegments, vysegments);
// if ((PARTIAL_THERMO_COUPLING))
if ((PARTIAL_THERMO_COUPLING)&&(i>N_T_AVERAGE))
{
nthermo = partial_thermostat_coupling(particle, xshift + PARTIAL_THERMO_SHIFT);
printf("%i particles coupled to thermostat out of %i active\n", nthermo, nactive);
mean_energy = compute_mean_energy(particle);
}
else mean_energy = totalenergy/(double)ncircles;
if (CENTER_PX) center_momentum(px);
if (CENTER_PY) center_momentum(py);
if (CENTER_PANGLE) center_momentum(pangle);
if (FLOOR_OMEGA) floor = floor_momentum(pangle);
// printf("pressure left %.5lg, pressure right %.5lg\n", pleft, pright);
// for (j=0; j<N_PRESSURES; j++) printf("pressure[%i] = %.5lg\n", j, pressure[j]);
/* reset angular values to [0, 2 Pi) */
if (ROTATION) for (j=0; j<ncircles; j++)
{
while (particle[j].angle > DPI) particle[j].angle -= DPI;
while (particle[j].angle < 0.0) particle[j].angle += DPI;
}
/* update tracer particle trajectory */
if ((TRACER_PARTICLE)&&(i > INITIAL_TIME))
{
for (j=0; j<N_TRACER_PARTICLES; j++)
{
trajectory[j*TRAJECTORY_LENGTH + traj_position].xc = particle[tracer_n[j]].xc;
trajectory[j*TRAJECTORY_LENGTH + traj_position].yc = particle[tracer_n[j]].yc;
}
traj_position++;
if (traj_position >= TRAJECTORY_LENGTH) traj_position = 0;
traj_length++;
if (traj_length >= TRAJECTORY_LENGTH) traj_length = TRAJECTORY_LENGTH - 1;
// for (j=0; j<traj_length; j++)
// printf("Trajectory[%i] = (%.3lg, %.3lg)\n", j, trajectory[j].xc, trajectory[j].yc);
}
printf("Mean kinetic energy: %.3f\n", totalenergy/(double)ncircles);
printf("Boundary force: %.3f\n", fboundary/(double)(ncircles*NVID));
if (RESAMPLE_Y) printf("%i succesful moves out of %i trials\n", nsuccess, nmove);
if (INCREASE_GRAVITY) printf("Gravity: %.3f\n", gravity);
total_neighbours = 0;
min_nb = 100;
max_nb = 0;
for (j=0; j<ncircles; j++) if (particle[j].active)
{
total_neighbours += particle[j].neighb;
if (particle[j].neighb > max_nb) max_nb = particle[j].neighb;
if (particle[j].neighb < min_nb) min_nb = particle[j].neighb;
}
// printf("Mean number of neighbours: %.3f\n", (double)total_neighbours/(double)ncircles);
// printf("Min number of neighbours: %i\n", min_nb);
// printf("Max number of neighbours: %i\n", max_nb);
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
/* add a particle */
if ((ADD_PARTICLES)&&(i > ADD_TIME)&&((i - INITIAL_TIME - ADD_TIME + 1)%ADD_PERIOD == 0)&&(i < NSTEPS - FINAL_NOADD_PERIOD))
nadd_particle = add_particles(particle, px, py, nadd_particle);
/* case of reaction-diffusion equation */
if (REACTION_DIFFUSION) update_types(particle);
update_hashgrid(particle, hashgrid, 1);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
if ((BOUNDARY_COND == BC_EHRENFEST)||(BOUNDARY_COND == BC_RECTANGLE_WALL))
print_ehrenfest_parameters(particle, pleft, pright);
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if ((i > INITIAL_TIME + WALL_TIME)&&(PRINT_ENTROPY))
{
compute_entropy(particle, entropy);
printf("Entropy 1 = %.5lg, Entropy 2 = %.5lg\n", entropy[0], entropy[1]);
print_entropy(entropy);
}
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
glutSwapBuffers();
if (MOVIE)
{
if (i >= INITIAL_TIME)
{
save_frame_lj();
if ((TIME_LAPSE)&&((i - INITIAL_TIME)%TIME_LAPSE_FACTOR == 0)&&(!DOUBLE_MOVIE))
{
save_frame_lj_counter(NSTEPS + END_FRAMES + (i - INITIAL_TIME)/TIME_LAPSE_FACTOR);
}
}
else printf("Initial phase time %i of %i\n", i, INITIAL_TIME);
if ((i >= INITIAL_TIME)&&(DOUBLE_MOVIE))
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT_B);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
if (BOUNDARY_COND == BC_EHRENFEST) print_ehrenfest_parameters(particle, pleft, pright);
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
glutSwapBuffers();
save_frame_lj_counter(NSTEPS + MID_FRAMES + 1 + counter);
counter++;
}
/* it seems that saving too many files too fast can cause trouble with the file system */
/* so this is to make a pause from time to time - parameter PAUSE may need adjusting */
if (i % PAUSE == PAUSE - 1)
{
printf("Making a short pause\n");
sleep(PSLEEP);
s = system("mv lj*.tif tif_ljones/");
}
}
}
if (MOVIE)
{
if (DOUBLE_MOVIE)
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
if (BOUNDARY_COND == BC_EHRENFEST) print_ehrenfest_parameters(particle, pleft, pright);
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
glutSwapBuffers();
}
for (i=0; i<MID_FRAMES; i++) save_frame_lj();
if (DOUBLE_MOVIE)
{
if (TRACER_PARTICLE) draw_trajectory(trajectory, traj_position, traj_length);
draw_particles(particle, PLOT_B);
draw_container(xmincontainer, xmaxcontainer, obstacle, segment, wall);
print_parameters(beta, mean_energy, krepel, xmaxcontainer - xmincontainer,
fboundary/(double)(ncircles*NVID), PRINT_LEFT, pressure, gravity);
if (BOUNDARY_COND == BC_EHRENFEST) print_ehrenfest_parameters(particle, pleft, pright);
else if (PRINT_PARTICLE_NUMBER) print_particle_number(ncircles);
if (PRINT_OMEGA) print_omega(angular_speed);
else if (PRINT_PARTICLE_SPEEDS) print_particles_speeds(particle);
glutSwapBuffers();
}
for (i=0; i<END_FRAMES; i++) save_frame_lj_counter(NSTEPS + MID_FRAMES + 1 + counter + i);
if ((TIME_LAPSE)&&(!DOUBLE_MOVIE))
for (i=0; i<END_FRAMES; i++) save_frame_lj_counter(NSTEPS + END_FRAMES + NSTEPS/TIME_LAPSE_FACTOR + i);
s = system("mv lj*.tif tif_ljones/");
}
printf("%i active particles\n", nactive);
free(particle);
if (ADD_FIXED_OBSTACLES) free(obstacle);
if (ADD_FIXED_SEGMENTS) free(segment);
if (TRACER_PARTICLE) free(trajectory);
free(hashgrid);
free(qx);
free(qy);
free(px);
free(py);
free(qangle);
free(pangle);
free(pressure);
}
void display(void)
{
time_t rawtime;
struct tm * timeinfo;
time(&rawtime);
timeinfo = localtime(&rawtime);
glPushMatrix();
blank();
glutSwapBuffers();
blank();
glutSwapBuffers();
animation();
sleep(SLEEP2);
glPopMatrix();
glutDestroyWindow(glutGetWindow());
printf("Start local time and date: %s", asctime(timeinfo));
time(&rawtime);
timeinfo = localtime(&rawtime);
printf("Current local time and date: %s", asctime(timeinfo));
}
int main(int argc, char** argv)
{
glutInit(&argc, argv);
glutInitDisplayMode(GLUT_RGB | GLUT_DOUBLE | GLUT_DEPTH);
glutInitWindowSize(WINWIDTH,WINHEIGHT);
glutCreateWindow("Particles with Lennard-Jones interaction in a planar domain");
init();
glutDisplayFunc(display);
glutMainLoop();
return 0;
}
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