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diffusion.c
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diffusion.c
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#include <stdio.h>
#include <stdlib.h>
#include "data_structure.h"
#include "diffusion.h"
#include "boundary.h"
#include "solver.h"
#include "utility.h"
#include "chen_zero_equ_model.h"
/******************************************************************************
| diffusion term
******************************************************************************/
void diffusion(PARA_DATA *para, REAL **var, int var_type,
REAL *psi, REAL *psi0, int **BINDEX)
{
REAL residual = 1.0;
int iter = 0;
// Define the coefcients for euqations
coef_diff(para, var, psi, psi0, var_type, BINDEX);
// Solve the equations
equ_solver(para, var, var_type, psi);
// Define B.C.
set_bnd(para, var, var_type, psi, BINDEX);
// Check residual
if(para->solv->check_residual==1)
{
switch(var_type)
{
case VX:
printf("Residual of VX for diffusion:%f\n",check_residual(para, var, psi));
break;
case VY:
printf("Residual of VY for diffusion:%f\n",check_residual(para, var, psi));
break;
case VZ:
printf("Residual of VZ for diffusion:%f\n",check_residual(para, var, psi));
break;
case TEMP:
printf("Residual of T for diffusion:%f\n",check_residual(para, var, psi));
break;
}
}
} // End of diffusion( )
/******************************************************************************
| Coeffcient for Diffusion
******************************************************************************/
void coef_diff(PARA_DATA *para, REAL **var, REAL *psi, REAL *psi0,
int var_type, int **BINDEX)
{
int i, j, k;
int imax = para->geom->imax, jmax = para->geom->jmax;
int kmax = para->geom->kmax;
int IMAX = imax+2, IJMAX = (imax+2)*(jmax+2);
REAL *u=var[VX],*v=var[VY],*w=var[VZ];
REAL *aw = var[AW], *ae = var[AE], *as = var[AS], *an = var[AN];
REAL *af = var[AF], *ab = var[AB], *ap = var[AP], *ap0 = var[AP0], *b = var[B];
REAL *x = var[X], *y = var[Y], *z = var[Z];
REAL *gx = var[GX], *gy = var[GY], *gz = var[GZ];
REAL *pp=var[PP];
REAL *Temp = var[TEMP];
REAL dxe, dxw, dyn, dys, dzf, dzb, Dx, Dy, Dz;
REAL dt = para->mytime->dt, beta = para->prob->beta;
REAL Temp_Buoyancy = para->prob->Temp_Buoyancy, gravx = para->prob->gravx, gravy = para->prob->gravy, gravz = para->prob->gravz;
REAL kapa;
REAL Fe,Fw,Fs,Fn,Ff,Fb;
// define kapa
switch (var_type)
{
case VX:
{
if(para->prob->tur_model == LAM)
kapa = para->prob->nu;
else if(para->prob->tur_model == CONSTANT)
kapa = 101.0f * para->prob->nu;
FOR_U_CELL
dxe = gx[IX(i+1,j ,k)] - gx[IX(i ,j,k)];
dxw = gx[IX(i ,j ,k)] - gx[IX(i-1,j,k)];
dyn = y[IX(i ,j+1,k)] - y[IX(i ,j,k)];
dys=y[IX(i,j,k)]-y[IX(i,j-1,k)];
dzf=z[IX(i,j,k+1)]-z[IX(i,j,k)];
dzb=z[IX(i,j,k)]-z[IX(i,j,k-1)];
Dx=x[IX(i+1,j,k)]-x[IX(i,j,k)];
Dy=gy[IX(i,j,k)]-gy[IX(i,j-1,k)];
Dz=gz[IX(i,j,k)]-gz[IX(i,j,k-1)];
aw[IX(i,j,k)]= kapa*Dy*Dz/dxw;
ae[IX(i,j,k)]= kapa*Dy*Dz/dxe;
an[IX(i,j,k)]= kapa*Dx*Dz/dyn;
as[IX(i,j,k)]= kapa*Dx*Dz/dys;
af[IX(i,j,k)]= kapa*Dx*Dy/dzf;
ab[IX(i,j,k)]= kapa*Dx*Dy/dzb;
ap0[IX(i,j,k)]= Dx*Dy*Dz/dt;
b[IX(i,j,k)]= psi0[IX(i,j,k)]*ap0[IX(i,j,k)]-beta*gravx*(Temp[IX(i,j,k)]-Temp_Buoyancy)*Dx*Dy*Dz+(pp[IX(i,j,k)]-pp[IX(i+1,j,k)])*Dy*Dz;
END_FOR
//set_bnd(para, var, var_type, psi, BINDEX);
FOR_U_CELL
ap[IX(i,j,k)] = ap0[IX(i,j,k)] + ae[IX(i,j,k)] + aw[IX(i,j,k)] + an[IX(i,j,k)]
+ as[IX(i,j,k)] + af[IX(i,j,k)] + ab[IX(i,j,k)];
END_FOR
}
break;
case VY:
{
if(para->prob->tur_model == LAM)
kapa = para->prob->nu;
else if(para->prob->tur_model == CONSTANT)
kapa = 101.0f * para->prob->nu;
FOR_V_CELL
dxe=x[IX(i+1,j,k)]-x[IX(i,j,k)];
dxw=x[IX(i,j,k)]-x[IX(i-1,j,k)];
dyn=gy[IX(i,j+1,k)]-gy[IX(i,j,k)];
dys=gy[IX(i,j,k)]-gy[IX(i,j-1,k)];
dzf=z[IX(i,j,k+1)]-z[IX(i,j,k)];
dzb=z[IX(i,j,k)]-z[IX(i,j,k-1)];
Dx=gx[IX(i,j,k)]-gx[IX(i-1,j,k)];
Dy=y[IX(i,j+1,k)]-y[IX(i,j,k)];
Dz=gz[IX(i,j,k)]-gz[IX(i,j,k-1)];
aw[IX(i,j,k)]= kapa*Dy*Dz/dxw;
ae[IX(i,j,k)]= kapa*Dy*Dz/dxe;
an[IX(i,j,k)]= kapa*Dx*Dz/dyn;
as[IX(i,j,k)]= kapa*Dx*Dz/dys;
af[IX(i,j,k)]= kapa*Dx*Dy/dzf;
ab[IX(i,j,k)]= kapa*Dx*Dy/dzb;
ap0[IX(i,j,k)]= Dx*Dy*Dz/dt;
b[IX(i,j,k)]= psi0[IX(i,j,k)]*ap0[IX(i,j,k)]-beta*gravy*(Temp[IX(i,j,k)]-Temp_Buoyancy)*Dx*Dy*Dz+(pp[IX(i,j,k)]-pp[IX(i ,j+1,k)])*Dx*Dz;
END_FOR
//set_bnd(para, var, var_type, psi,BINDEX);
FOR_V_CELL
ap[IX(i,j,k)] = ap0[IX(i,j,k)] + ae[IX(i,j,k)] + aw[IX(i,j,k)] + an[IX(i,j,k)]
+ as[IX(i,j,k)] + af[IX(i,j,k)] + ab[IX(i,j,k)];
END_FOR
}
break;
case VZ:
{
if(para->prob->tur_model == LAM)
kapa = para->prob->nu;
else if(para->prob->tur_model == CONSTANT)
kapa = 101.0f * para->prob->nu;
FOR_W_CELL
dxe=x[IX(i+1,j,k)]-x[IX(i,j,k)];
dxw=x[IX(i,j,k)]-x[IX(i-1,j,k)];
dyn=y[IX(i,j+1,k)]-y[IX(i,j,k)];
dys=y[IX(i,j,k)]-y[IX(i,j-1,k)];
dzf=gz[IX(i,j,k+1)]-gz[IX(i,j,k)];
dzb=gz[IX(i,j,k)]-gz[IX(i,j,k-1)];
Dx=gx[IX(i,j,k)]-gx[IX(i-1,j,k)];
Dy=gy[IX(i,j,k)]-gy[IX(i,j-1,k)];
Dz=z[IX(i,j,k+1)]-z[IX(i,j,k)];
aw[IX(i,j,k)]= kapa*Dy*Dz/dxw;
ae[IX(i,j,k)]= kapa*Dy*Dz/dxe;
an[IX(i,j,k)]= kapa*Dx*Dz/dyn;
as[IX(i,j,k)]= kapa*Dx*Dz/dys;
af[IX(i,j,k)]= kapa*Dx*Dy/dzf;
ab[IX(i,j,k)]= kapa*Dx*Dy/dzb;
ap0[IX(i,j,k)]= Dx*Dy*Dz/dt;
b[IX(i,j,k)]= psi0[IX(i,j,k)]*ap0[IX(i,j,k)]-beta*gravz*(Temp[IX(i,j,k)]-Temp_Buoyancy)*Dx*Dy*Dz+(pp[IX(i,j,k)]-pp[IX(i ,j,k+1)])*Dy*Dx;
END_FOR
//set_bnd(para, var, var_type, psi,BINDEX);
FOR_W_CELL
ap[IX(i,j,k)] = ap0[IX(i,j,k)] + ae[IX(i,j,k)] + aw[IX(i,j,k)] + an[IX(i,j,k)]
+ as[IX(i,j,k)] + af[IX(i,j,k)] + ab[IX(i,j,k)];
END_FOR
}
break;
case TEMP:
{
/* if(para->prob->tur_model == LAM)
kapa = para->prob->alpha;
else if(para->prob->tur_model == CONST)
kapa = 101.0f * para->prob->alpha;
FOR_EACH_CELL
dxe=x[IX(i+1,j,k)]-x[IX(i,j,k)];
dxw=x[IX(i,j,k)]-x[IX(i-1,j,k)];
dyn=y[IX(i,j+1,k)]-y[IX(i,j,k)];
dys=y[IX(i,j,k)]-y[IX(i,j-1,k)];
dzf=z[IX(i,j,k+1)]-z[IX(i,j,k)];
dzb=z[IX(i,j,k)]-z[IX(i,j,k-1)];
Dx=gx[IX(i,j,k)]-gx[IX(i-1,j,k)];
Dy=gy[IX(i,j,k)]-gy[IX(i,j-1,k)];
Dz=gz[IX(i,j,k)]-gz[IX(i,j,k-1)];
Fw=Dy*Dz*u[IX(i-1,j,k)];
Fe=Dy*Dz*u[IX(i,j,k)];
Fn=Dx*Dz*v[IX(i,j,k)];
Fs=Dx*Dz*v[IX(i,j-1,k)];
Ff=Dy*Dx*w[IX(i,j,k)];
Fb=Dy*Dx*w[IX(i,j,k-1)];
aw[IX(i,j,k)]= kapa*Dy*Dz/dxw + max(Fw,0);
ae[IX(i,j,k)]= kapa*Dy*Dz/dxe + max(-Fe,0);
an[IX(i,j,k)]= kapa*Dx*Dz/dyn + max(-Fn,0);
as[IX(i,j,k)]= kapa*Dx*Dz/dys + max(Fs,0);
af[IX(i,j,k)]= kapa*Dx*Dy/dzf + max(-Ff,0);
ab[IX(i,j,k)]= kapa*Dx*Dy/dzb + max(Fb,0);
ap0[IX(i,j,k)]= Dx*Dy*Dz/dt;
b[IX(i,j,k)]= psi0[IX(i,j,k)]*ap0[IX(i,j,k)];
ap[IX(i,j,k)]= ap0[IX(i,j,k)]+0.1f*(Fe-Fw+Fn-Fs+Ff-Fb);
END_FOR
set_bnd(para, var, var_type, psi,BINDEX);
FOR_EACH_CELL
ap[IX(i,j,k)] += (ae[IX(i,j,k)] + aw[IX(i,j,k)] + an[IX(i,j,k)]
+ as[IX(i,j,k)] + af[IX(i,j,k)] + ab[IX(i,j,k)]);
END_FOR
*/
if(para->prob->tur_model == LAM)
kapa = para->prob->alpha;
else if(para->prob->tur_model == CONSTANT)
kapa = 101.0f * para->prob->alpha;
FOR_EACH_CELL
dxe=x[IX(i+1,j,k)]-x[IX(i,j,k)];
dxw=x[IX(i,j,k)]-x[IX(i-1,j,k)];
dyn=y[IX(i,j+1,k)]-y[IX(i,j,k)];
dys=y[IX(i,j,k)]-y[IX(i,j-1,k)];
dzf=z[IX(i,j,k+1)]-z[IX(i,j,k)];
dzb=z[IX(i,j,k)]-z[IX(i,j,k-1)];
Dx=gx[IX(i,j,k)]-gx[IX(i-1,j,k)];
Dy=gy[IX(i,j,k)]-gy[IX(i,j-1,k)];
Dz=gz[IX(i,j,k)]-gz[IX(i,j,k-1)];
aw[IX(i,j,k)]= kapa*Dy*Dz/dxw;
ae[IX(i,j,k)]= kapa*Dy*Dz/dxe;
an[IX(i,j,k)]= kapa*Dx*Dz/dyn;
as[IX(i,j,k)]= kapa*Dx*Dz/dys;
af[IX(i,j,k)]= kapa*Dx*Dy/dzf;
ab[IX(i,j,k)]= kapa*Dx*Dy/dzb;
ap0[IX(i,j,k)]= Dx*Dy*Dz/dt;
b[IX(i,j,k)]= psi0[IX(i,j,k)]*ap0[IX(i,j,k)];
END_FOR
set_bnd(para, var, var_type, psi,BINDEX);
FOR_EACH_CELL
ap[IX(i,j,k)] = ap0[IX(i,j,k)] + ae[IX(i,j,k)] + aw[IX(i,j,k)] + an[IX(i,j,k)]
+ as[IX(i,j,k)] + af[IX(i,j,k)] + ab[IX(i,j,k)];
END_FOR
}
break;
}
}// End of coef_diff( )
/******************************************************************************
| Source Term for Diffusion
******************************************************************************/
void source_diff(PARA_DATA *para, REAL **var, int var_type)
{
int i, j, k;
int imax = para->geom->imax, jmax = para->geom->jmax;
int kmax = para->geom->kmax;
int IMAX = imax+2, IJMAX = (imax+2)*(jmax+2);
REAL *b = var[B];
REAL *x = var[X], *y = var[Y], *z = var[Z];
REAL dt = para->mytime->dt;
FOR_EACH_CELL
switch(var_type)
{
//-----------------------------------------------------------------------
case VX:
b[IX(i,j,k)] += var[VXS][IX(i,j,k)]; break;
case VY:
b[IX(i,j,k)] += var[VYS][IX(i,j,k)]; break;
case VZ:
b[IX(i,j,k)] += var[VZS][IX(i,j,k)]; break;
case TEMP:
// b[IX(i,j,k)] += var[TEMPS][IX(i,j,k)];
break;
case DEN:
// b[IX(i,j,k)] += var[DENS][IX(i,j,k)];
break;
}
END_FOR
} // End of source_diff()