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viscosity_kernel_c.c
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viscosity_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 viscosity kernel.
* @author Wayne Gaudin
* @details Calculates an artificial viscosity using the Wilkin's method to
* smooth out shock front and prevent oscillations around discontinuities.
* Only cells in compression will have a non-zero value.
*/
#include <stdio.h>
#include <stdlib.h>
#include "ftocmacros.h"
#include <math.h>
void viscosity_kernel_c_(int *xmin,int *xmax,int *ymin,int *ymax,
double *celldx,
double *celldy,
double *density0,
double *pressure,
double *viscosity,
double *xvel0,
double *yvel0)
{
int x_min=*xmin;
int x_max=*xmax;
int y_min=*ymin;
int y_max=*ymax;
int j,k;
double ugrad,vgrad,grad2,pgradx,pgrady,pgradx2,pgrady2,grad
,ygrad,pgrad,xgrad,div,strain2,limiter;
for (k=y_min;k<=y_max;k++) {
#pragma ivdep
for (j=x_min;j<=x_max;j++) {
ugrad=(xvel0[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
+xvel0[FTNREF2D(j+1,k+1,x_max+5,x_min-2,y_min-2)])
-(xvel0[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+xvel0[FTNREF2D(j ,k+1,x_max+5,x_min-2,y_min-2)]);
vgrad=(yvel0[FTNREF2D(j ,k+1,x_max+5,x_min-2,y_min-2)]
+yvel0[FTNREF2D(j+1,k+1,x_max+5,x_min-2,y_min-2)])
-(yvel0[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
+yvel0[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]);
div=(celldx[FTNREF1D(j,x_min-2)]*(ugrad)
+celldy[FTNREF1D(k,y_min-2)]*(vgrad));
strain2=0.5*(xvel0[FTNREF2D(j ,k+1,x_max+5,x_min-2,y_min-2)]
+xvel0[FTNREF2D(j+1,k+1,x_max+5,x_min-2,y_min-2)]
-xvel0[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
-xvel0[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)])/celldy[FTNREF1D(k,y_min-2)]
+0.5*(yvel0[FTNREF2D(j+1,k ,x_max+5,x_min-2,y_min-2)]
+yvel0[FTNREF2D(j+1,k+1,x_max+5,x_min-2,y_min-2)]
-yvel0[FTNREF2D(j ,k ,x_max+5,x_min-2,y_min-2)]
-yvel0[FTNREF2D(j ,k+1,x_max+5,x_min-2,y_min-2)])/celldx[FTNREF1D(j,x_min-2)];
pgradx=(pressure[FTNREF2D(j+1,k ,x_max+4,x_min-2,y_min-2)]
-pressure[FTNREF2D(j-1,k ,x_max+4,x_min-2,y_min-2)])
/(celldx[FTNREF1D(j,x_min-2)]+celldx[FTNREF1D(j+1,x_min-2)]);
pgrady=(pressure[FTNREF2D(j ,k+1,x_max+4,x_min-2,y_min-2)]
-pressure[FTNREF2D(j ,k-1,x_max+4,x_min-2,y_min-2)])
/(celldy[FTNREF1D(k,y_min-2)]+celldy[FTNREF1D(k+1,y_min-2)]);
pgradx2 = pgradx*pgradx;
pgrady2 = pgrady*pgrady;
limiter = ((0.5*(ugrad)/celldx[FTNREF1D(j,x_min-2)])*pgradx2+(0.5*(vgrad)/celldy[FTNREF1D(k,y_min-2)])*pgrady2+strain2*pgradx*pgrady)
/MAX(pgradx2+pgrady2,1.0e-16);
if(limiter>0.0 || div>=0.0){
viscosity[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=0.0;
}
else{
pgradx = SIGN(MAX(1.0e-16,fabs(pgradx)),pgradx);
pgrady = SIGN(MAX(1.0e-16,fabs(pgrady)),pgrady);
pgrad = sqrt(pgradx*pgradx+pgrady*pgrady);
xgrad = fabs(celldx[FTNREF1D(j,x_min-2)]*pgrad/pgradx);
ygrad = fabs(celldy[FTNREF1D(k,y_min-2)]*pgrad/pgrady);
grad = MIN(xgrad,ygrad);
grad2 = grad*grad;
viscosity[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]=2.0*density0[FTNREF2D(j ,k ,x_max+4,x_min-2,y_min-2)]*grad2*limiter*limiter;
}
}
}
}