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solver_gs.c
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solver_gs.c
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#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include "data_structure.h"
#include "solver_gs.h"
#include "boundary.h"
#include "utility.h"
/******************************************************************************
| Gauss-Seidel Solver
******************************************************************************/
void GS_P(PARA_DATA *para, REAL **var, int Type, REAL *x)
{
REAL *as = var[AS], *aw = var[AW], *ae = var[AE], *an = var[AN];
REAL *ap = var[AP], *af = var[AF], *ab = var[AB], *b = var[B];
int imax = para->geom->imax, jmax= para->geom->jmax;
int kmax = para->geom->kmax;
int IMAX = imax+2, IJMAX = (imax+2)*(jmax+2);
int i, j, k,iter, it=0;
float tmp1,tmp2,residual=1;
REAL *flagp = var[FLAGP],*flagu = var[FLAGU],*flagv = var[FLAGV],*flagw = var[FLAGW];
// while(residual>0.001 && it <5)
for(it=0; it<5; it++)
{
tmp1=0;
tmp2=0.0000000001;
// it +=1;
for(i=1; i<=imax; i++)
for(j=1; j<=jmax; j++)
for(k=1; k<=kmax; k++)
{
if (flagp[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
for(j=1; j<=jmax; j++)
for(i=1; i<=imax; i++)
for(k=1; k<=kmax; k++)
{
if (flagp[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
for(i=imax; i>=1; i--)
for(j=jmax; j>=1; j--)
for(k=1; k<=kmax; k++)
{
if (flagp[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
for(j=jmax; j>=1; j--)
for(i=imax; i>=1; i--)
for(k=1; k<=kmax; k++)
{
if (flagp[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
FOR_EACH_CELL
if (flagp[IX(i,j,k)]>=0) continue;
tmp1 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]
- ae[IX(i,j,k)]*x[IX(i+1,j,k)] - aw[IX(i,j,k)]*x[IX(i-1,j,k)]
- an[IX(i,j,k)]*x[IX(i,j+1,k)] - as[IX(i,j,k)]*x[IX(i,j-1,k)]
- af[IX(i,j,k)]*x[IX(i,j,k+1)] - ab[IX(i,j,k)]*x[IX(i,j,k-1)]
- b[IX(i,j,k)]);
tmp2 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]);
//residual= residual> (tmp1/tmp2)?residual:(tmp1/tmp2);
END_FOR
residual = tmp1 /tmp2;
}
} // End of Gauss-Seidel( )
void Gauss_Seidel(PARA_DATA *para, REAL **var, REAL *flag, REAL *x)
{
REAL *as = var[AS], *aw = var[AW], *ae = var[AE], *an = var[AN];
REAL *ap = var[AP], *af = var[AF], *ab = var[AB], *b = var[B];
int imax = para->geom->imax, jmax= para->geom->jmax;
int kmax = para->geom->kmax;
int size;
int IMAX = imax+2, IJMAX = (imax+2)*(jmax+2);
int i, j, k, it=0;
float tmp1,tmp2,residual=1;
for(it=0; it<1; it++)
// while(residual>0.0000001 && it <5)
{
tmp1=0;
tmp2=0.0000000001;
// it += 1;
for(i=1; i<=imax; i++)
for(j=1; j<=jmax; j++)
for(k=1; k<=kmax; k++)
{
if (flag[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
/* for(j=1; j<=jmax; j++)
for(i=1; i<=imax; i++)
for(k=1; k<=kmax; k++)
{
if (flag[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
*/
for(i=imax; i>=1; i--)
for(j=jmax; j>=1; j--)
for(k=1; k<=kmax; k++)
{
if (flag[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
/* for(j=jmax; j>=1; j--)
for(i=imax; i>=1; i--)
for(k=1; k<=kmax; k++)
{
if (flag[IX(i,j,k)]>=0) continue;
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
}
*/
/*
FOR_EACH_CELL
if (flag[IX(i,j,k)]>=0) continue;
tmp1 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]
- ae[IX(i,j,k)]*x[IX(i+1,j,k)] - aw[IX(i,j,k)]*x[IX(i-1,j,k)]
- an[IX(i,j,k)]*x[IX(i,j+1,k)] - as[IX(i,j,k)]*x[IX(i,j-1,k)]
- af[IX(i,j,k)]*x[IX(i,j,k+1)] - ab[IX(i,j,k)]*x[IX(i,j,k-1)]
- b[IX(i,j,k)]);
tmp2 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]);
END_FOR
residual = tmp1 /tmp2;
*/
}
//printf("*************the residual is %f \t********** \n", residual);
} // End of Gauss-Seidel( )
void Gauss_Seidel_simple(PARA_DATA *para, REAL **var, int Type, REAL *x)
{
REAL *as = var[AS], *aw = var[AW], *ae = var[AE], *an = var[AN];
REAL *ap = var[AP], *af = var[AF], *ab = var[AB], *b = var[B];
int imax = para->geom->imax, jmax= para->geom->jmax;
int kmax = para->geom->kmax;
int IMAX = imax+2, IJMAX = (imax+2)*(jmax+2);
int i, j, k, it=0;
float tmp1,tmp2,residual=1;
switch (Type)
{
case VX:
imax=para->geom->imax-1;
break;
case VY:
jmax=para->geom->jmax-1;
break;
case VZ:
kmax=para->geom->kmax-1;
break;
}
// while(residual>0.001 && it <5)
for(it=0; it<5; it++)
{
tmp1=0;
tmp2=0.0000000001;
//it += 1;
for(i=1; i<=imax; i++)
for(j=1; j<=jmax; j++)
for(k=1; k<=kmax; k++)
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
for(j=1; j<=jmax; j++)
for(i=1; i<=imax; i++)
for(k=1; k<=kmax; k++)
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
for(i=imax; i>=1; i--)
for(j=jmax; j>=1; j--)
for(k=1; k<=kmax; k++)
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
for(j=jmax; j>=1; j--)
for(i=imax; i>=1; i--)
for(k=1; k<=kmax; k++)
x[IX(i,j,k)] = ( ae[IX(i,j,k)]*x[IX(i+1,j,k)]
+ aw[IX(i,j,k)]*x[IX(i-1,j,k)]
+ an[IX(i,j,k)]*x[IX(i,j+1,k)]
+ as[IX(i,j,k)]*x[IX(i,j-1,k)]
+ af[IX(i,j,k)]*x[IX(i,j,k+1)]
+ ab[IX(i,j,k)]*x[IX(i,j,k-1)]
+ b[IX(i,j,k)] ) / ap[IX(i,j,k)];
/*
FOR_EACH_CELL
tmp1 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]
- ae[IX(i,j,k)]*x[IX(i+1,j,k)] - aw[IX(i,j,k)]*x[IX(i-1,j,k)]
- an[IX(i,j,k)]*x[IX(i,j+1,k)] - as[IX(i,j,k)]*x[IX(i,j-1,k)]
- af[IX(i,j,k)]*x[IX(i,j,k+1)] - ab[IX(i,j,k)]*x[IX(i,j,k-1)]
- b[IX(i,j,k)]);
tmp2 += fabs(ap[IX(i,j,k)]*x[IX(i,j,k)]);
END_FOR
residual = tmp1 /tmp2;
*/
}
} // End of Gauss-Seidel( )