Particle::Particle(){
setInitCondition(ofGetWindowWidth()/2, ofGetWindowHeight()/2, 0, 0);
damping = 0.03f;
size = ofRandom(1, 3);
a = ofRandom(40, 110);
r = 255;
g = 255;
b = 255;
}
void solverDFeqn(double alpha, double dt, int dim, int N, int *nx, int L, double **domain, double ***S, double ***T, int type, int solver){
/* solver = 1: SOR | solver = 2: FMA
type = 1: BE | type = 2: Crank Nocolson */
double dx = (double)L/nx[1];
/* double C = alpha*dt/pow(dx,2); /* none steady state equation */
double C = alpha/pow(dx,2); /* steady state equation f( u_t+1 ) = rho */
int x, y, z, k;
unsigned long i, j, h;
unsigned long X = pow(nx[1],dim); /* dimension of the matrix */
double *b = dvector(1, X);
double *u = dvector(1, X);
double ***ufma = dmatrix3d(1,nx[3]+2,1,nx[1]+2,1,nx[2]+2);
setCartesianDomain(dim, nx, L, domain); /* set up cartesian domain */
printf(" Domain created ...\n");
setInitCondition(dim, nx, domain, T);
printf(" Initional condition set...\n");
setBoundCondition(nx, T);
printf(" Boundary condition set...\n");
/*printmat(Ap, X, dim*2+1, "matAp.csv", "w");
printmat(Afp, X, X, "matAfp.csv", "w");*/
for(i=1; i<=N; i++){
printf(" timestep loop #%ld", i);
j = 1;
if (type==1){ /* backward Euler */
for(z=2; z<=nx[3]+1; z++) /* prepare coefficient matrix A and RHS b */
for(x=2; x<=nx[1]+1; x++)
for(y=2; y<=nx[2]+1; y++, j++){
b[j] = C + S[z][x][y]; /* steady state rho */
ufma[x][y][z] = b[j];
}
}else{ /* Crank Nicolson */
for(z=2; z<=nx[3]+1; z++) /* prepare coefficient matrix A and RHS b */
for(x=2; x<=nx[1]+1; x++)
for(y=2; y<=nx[2]+1; y++, j++){ /* steady state rho */
b[j] = C - (T[z][x-1][y] + T[z][x+1][y]
+ T[z][x][y-1] + T[z][x][y+1]
+ T[z-1][x][y] + T[z+1][x][y]
- 6*T[z][x][y])+ S[z][x][y];
ufma[x][y][z] = b[j];
}
}
/* sloving for diagonal system */
if (solver==1){ /* SOR:=1 */
printf(" solving linear equation with SOR...\n");
printf(" make coefficient matrix...\n");
double **Afp = dmatrix(1, X, 1, X); /* coefficient matrix as diagnols */
makeMatrix(Afp, X, nx[1], C, dim); /* to fill the coefficient matrix Afp to diagnols from the sparce matrix Ap */
/*printvec(b, X, "matb.csv", "w");
printmat(Af, X, X, "matAf.csv", "w");*/
int k;
for (k=1; k<=X; k++) /* seed SOR */
u[k] = 0;
int bs = linearSolver_SOR(Afp, b, u, X);
free_dmatrix(Afp, 1, X, 1, X);
if(bs==1){
printf(" SOR failed with 200 iteration...\n");
}
j = 1;
for(z=2; z<=nx[3]+1; z++) /* T(t+1) */
for(x=2; x<=nx[1]+1; x++)
for(y=2; y<=nx[2]+1; y++, j++)
T[z][x][y] = u[j];
free_dvector(b, 1, X);
free_dvector(u, 1, X);
}else{ /* FMA:=2 */
printf(" solving linear equation with FMA...\n");
printf(" dimension = %ld\n", X);
mglin(ufma, nx[1], NCYCLE_);
j = 1;
for(z=2; z<=nx[3]+1; z++) /* T(t+1) */
for(x=2; x<=nx[1]+1; x++)
for(y=2; y<=nx[2]+1; y++, j++)
T[z][x][y] = ufma[z][x][y];
free_dmatrix3d(ufma,1,nx[3]+2,1,nx[1]+2,1,nx[2]+2);
}
printf(" linear diag solved...\n");
setBoundCondition(nx, T);
printf(" Boundary condition set...\n");
}
}