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advec_cell_kernel_c.c
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advec_cell_kernel_c.c
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/*Crown Copyright 2012 AWE.
*
* This file is part of CloverLeaf.
*
* CloverLeaf is free software: you can redistribute it and/or modify it under
* the terms of the GNU General Public License as published by the
* Free Software Foundation, either version 3 of the License, or (at your option)
* any later version.
*
* CloverLeaf is distributed in the hope that it will be useful, but
* WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
* FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
* details.
*
* You should have received a copy of the GNU General Public License along with
* CloverLeaf. If not, see http://www.gnu.org/licenses/. */
/**
* @brief C cell advection kernel.
* @author Wayne Gaudin
* @details Performs a second order advective remap using van-Leer limiting
* with directional splitting.
*/
#include <stdio.h>
#include <stdlib.h>
#include "ftocmacros.h"
#include <math.h>
void advec_cell_kernel_c_(int *xmin,int *xmax,int *ymin,int *ymax,
int *dr,
int *swp_nmbr,
int *vctr,
double *vertexdx,
double *vertexdy,
double *volume,
double *density1,
double *energy1,
double *mass_flux_x,
double *vol_flux_x,
double *mass_flux_y,
double *vol_flux_y,
double *pre_vol,
double *post_vol,
double *pre_mass,
double *post_mass,
double *advec_vol,
double *post_ener,
double *ener_flux)
{
int x_min=*xmin;
int x_max=*xmax;
int y_min=*ymin;
int y_max=*ymax;
int sweep_number=*swp_nmbr;
int dir=*dr;
int vector=*vctr;
int j,k,upwind,donor,downwind,dif;
int g_xdir=1,g_ydir=2;
double sigma,sigmat,sigmav,sigmam,sigma3,sigma4,diffuw,diffdw,limiter;
double one_by_six;
one_by_six=1.0/6.0;
#pragma omp parallel
{
if(dir==g_xdir){
if(sweep_number==1){
#pragma omp for private(j)
for (k=y_min-2;k<=y_max+2;k++) {
#pragma ivdep
for (j=x_min-2;j<=x_max+2;j++) {
pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
+(vol_flux_x[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
-vol_flux_x[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+vol_flux_y[FTNREF2D(j ,k+1,x_max+4,x_min-2,y_min-2)]
-vol_flux_y[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]);
post_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
-(vol_flux_x[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
-vol_flux_x[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]);
}
}
}
else {
#pragma omp for private(j)
for (k=y_min-2;k<=y_max+2;k++) {
#pragma ivdep
for (j=x_min-2;j<=x_max+2;j++) {
pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
+vol_flux_x[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
-vol_flux_x[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
post_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)];
}
}
}
#pragma omp for private(upwind,donor,downwind,dif,sigmat,sigma3,sigma4,sigmav,sigma,sigmam,diffuw,diffdw,limiter,j)
for (k=y_min;k<=y_max;k++) {
for (j=x_min;j<=x_max+2;j++) {
if(vol_flux_x[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]>0.0){
upwind =j-2;
donor =j-1;
downwind =j;
dif =donor;
}
else {
upwind =MIN(j+1,x_max+2);
donor =j;
downwind =j-1;
dif =upwind;
}
sigmat=fabs(vol_flux_x[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]/pre_vol[FTNREF2D(donor,k ,x_max+5,x_min-2,y_min-2)]);
sigma3=(1.0+sigmat)*(vertexdx[FTNREF1D(j,x_min-2)]/vertexdx[FTNREF1D(dif,x_min-2)]);
sigma4=2.0-sigmat;
sigma=sigmat;
sigmav=sigmat;
diffuw=density1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)]-density1[FTNREF2D(upwind,k ,x_max+4,x_min-2,y_min-2)];
diffdw=density1[FTNREF2D(downwind,k ,x_max+4,x_min-2,y_min-2)]-density1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)];
if(diffuw*diffdw>0.0){
limiter=(1.0-sigmav)*SIGN(1.0,diffdw)*MIN(fabs(diffuw),MIN(fabs(diffdw)
,one_by_six*(sigma3*fabs(diffuw)+sigma4*fabs(diffdw))));
}
else{
limiter=0.0;
}
mass_flux_x[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]=vol_flux_x[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]
*(density1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)]+limiter);
sigmam=fabs(mass_flux_x[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)])/(density1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)]
*pre_vol[FTNREF2D(donor,k ,x_max+5,x_min-2,y_min-2)]);
diffuw=energy1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)]-energy1[FTNREF2D(upwind,k ,x_max+4,x_min-2,y_min-2)];
diffdw=energy1[FTNREF2D(downwind,k ,x_max+4,x_min-2,y_min-2)]-energy1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)];
if(diffuw*diffdw>0.0){
limiter=(1.0-sigmam)*SIGN(1.0,diffdw)*MIN(fabs(diffuw),MIN(fabs(diffdw)
,one_by_six*(sigma3*fabs(diffuw)+sigma4*fabs(diffdw))));
}
else {
limiter=0.0;
}
ener_flux[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]=mass_flux_x[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]
*(energy1[FTNREF2D(donor,k ,x_max+4,x_min-2,y_min-2)]+limiter);
}
}
#pragma omp for private(j)
for (k=y_min;k<=y_max;k++) {
#pragma ivdep
for (j=x_min;j<=x_max;j++) {
pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=density1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
*pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+mass_flux_x[FTNREF2D(j ,k,x_max+5,x_min-2,y_min-2)]
-mass_flux_x[FTNREF2D(j+1,k,x_max+5,x_min-2,y_min-2)];
post_ener[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=(energy1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
*pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+ener_flux[FTNREF2D(j ,k,x_max+5,x_min-2,y_min-2)]
-ener_flux[FTNREF2D(j+1,k,x_max+5,x_min-2,y_min-2)])
/post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
advec_vol [FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+vol_flux_x[FTNREF2D(j ,k,x_max+5,x_min-2,y_min-2)]
-vol_flux_x[FTNREF2D(j+1,k,x_max+5,x_min-2,y_min-2)];
density1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]/advec_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
energy1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=post_ener[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
}
}
}
else if(dir==g_ydir){
if(sweep_number==1){
#pragma omp for private(j)
for (k=y_min-2;k<=y_max+2;k++) {
#pragma ivdep
for (j=x_min-2;j<=x_max+2;j++) {
pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
+(vol_flux_y[FTNREF2D(j ,k+1,x_max+4,x_min-2,y_min-2)]
-vol_flux_y[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
+vol_flux_x[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
-vol_flux_x[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]);
post_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
-(vol_flux_y[FTNREF2D(j ,k+1,x_max+4,x_min-2,y_min-2)]
-vol_flux_y[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]);
}
}
}
else {
#pragma omp for private(j)
for (k=y_min-2;k<=y_max+2;k++) {
#pragma ivdep
for (j=x_min-2;j<=x_max+2;j++) {
pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
+vol_flux_y[FTNREF2D(j ,k+1,x_max+4,x_min-2,y_min-2)]
-vol_flux_y[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)];
post_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=volume[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)];
}
}
}
#pragma omp for private(upwind,donor,downwind,dif,sigmat,sigma3,sigma4,sigmav,sigma,sigmam,diffuw,diffdw,limiter,j)
for (k=y_min;k<=y_max+2;k++) {
for (j=x_min;j<=x_max;j++) {
if(vol_flux_y[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]>0.0){
upwind =k-2;
donor =k-1;
downwind =k;
dif =donor;
}
else {
upwind =MIN(k+1,y_max+2);
donor =k;
downwind =k-1;
dif =upwind;
}
sigmat=fabs(vol_flux_y[FTNREF2D(j,k,x_max+4,x_min-2,y_min-2)]/pre_vol[FTNREF2D(j ,donor,x_max+5,x_min-2,y_min-2)]);
sigma3=(1.0+sigmat)*(vertexdy[FTNREF1D(k,y_min-2)]/vertexdy[FTNREF1D(dif,y_min-2)]);
sigma4=2.0-sigmat;
sigma=sigmat;
sigmav=sigmat;
diffuw=density1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)]-density1[FTNREF2D(j ,upwind,x_max+4,x_min-2,y_min-2)];
diffdw=density1[FTNREF2D(j ,downwind,x_max+4,x_min-2,y_min-2)]-density1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)];
if(diffuw*diffdw>0.0){
limiter=(1.0-sigmav)*SIGN(1.0,diffdw)*MIN(fabs(diffuw),MIN(fabs(diffdw)
,one_by_six*(sigma3*fabs(diffuw)+sigma4*fabs(diffdw))));
}
else{
limiter=0.0;
}
mass_flux_y[FTNREF2D(j,k,x_max+4,x_min-2,y_min-2)]=vol_flux_y[FTNREF2D(j,k,x_max+4,x_min-2,y_min-2)]
*(density1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)]+limiter);
sigmam=fabs(mass_flux_y[FTNREF2D(j,k,x_max+4,x_min-2,y_min-2)])/(density1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)]
*pre_vol[FTNREF2D(j ,donor,x_max+5,x_min-2,y_min-2)]);
diffuw=energy1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)]-energy1[FTNREF2D(j ,upwind,x_max+4,x_min-2,y_min-2)];
diffdw=energy1[FTNREF2D(j ,downwind,x_max+4,x_min-2,y_min-2)]-energy1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)];
if(diffuw*diffdw>0.0){
limiter=(1.0-sigmam)*SIGN(1.0,diffdw)*MIN(fabs(diffuw),MIN(fabs(diffdw)
,one_by_six*(sigma3*fabs(diffuw)+sigma4*fabs(diffdw))));
}
else {
limiter=0.0;
}
ener_flux[FTNREF2D(j,k,x_max+5,x_min-2,y_min-2)]=mass_flux_y[FTNREF2D(j,k,x_max+4,x_min-2,y_min-2)]
*(energy1[FTNREF2D(j ,donor,x_max+4,x_min-2,y_min-2)]+limiter);
}
}
#pragma omp for private(j)
for (k=y_min;k<=y_max;k++) {
#pragma ivdep
for (j=x_min;j<=x_max;j++) {
pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=density1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
*pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+mass_flux_y[FTNREF2D(j,k ,x_max+4,x_min-2,y_min-2)]
-mass_flux_y[FTNREF2D(j,k+1,x_max+4,x_min-2,y_min-2)];
post_ener[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=(energy1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]
*pre_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+ener_flux[FTNREF2D(j,k ,x_max+5,x_min-2,y_min-2)]
-ener_flux[FTNREF2D(j,k+1,x_max+5,x_min-2,y_min-2)])
/post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
advec_vol [FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]=pre_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+vol_flux_y[FTNREF2D(j,k ,x_max+4,x_min-2,y_min-2)]
-vol_flux_y[FTNREF2D(j,k+1,x_max+4,x_min-2,y_min-2)];
density1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=post_mass[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]/advec_vol[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
energy1[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=post_ener[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)];
}
}
}
}
}