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/*@@
@file GRHydro_Weights.F90
@date Sat Jan 26 01:40:14 2002
@author Ian Hawke
@desc
This routine calculates the "weights" of the cells and cell boundaries.
This is only required if using FishEye.
There is also a routine that calculates the "physical" velocity.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "FishEye.h"
/*@@
@routine GRHydro_Weights
@date Sat Jan 26 01:41:02 2002
@author Ian Hawke
@desc
Calculates the weights from FishEye.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
void GRHydro_Weights(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS;
DECLARE_CCTK_PARAMETERS;
CCTK_REAL dx, dy, dz, xbound, ybound, zbound;
CCTK_REAL jdet[27], jacobian[9], cell_centre_slice, cell_surface_l;
CCTK_INT i, j, k, nx, ny, nz, l, m, n, index, totalsize;
dx = cctk_delta_space[0] / cctk_levfac[0];
dy = cctk_delta_space[1] / cctk_levfac[1];
dz = cctk_delta_space[2] / cctk_levfac[2];
nx = cctk_lsh[0];
ny = cctk_lsh[1];
nz = cctk_lsh[2];
totalsize = nx*ny*nz;
if (use_weighted_fluxes)
{
for (k = 0; k < nz; k++)
{
for (j = 0; j < ny; j++)
{
for (i = 0; i < nx; i++)
{
/*
Calculate the jacobian of the transformation at the
27 points; 3 points in every direction
*/
index = CCTK_GFINDEX3D(cctkGH, i, j, k);
for (n = 0; n < 3; n++)
{
for (m = 0; m < 3; m++)
{
for (l = 0; l < 3; l++)
{
xbound = x[index] + 0.5 * (l-2) * dx;
ybound = y[index] + 0.5 * (m-2) * dy;
zbound = z[index] + 0.5 * (n-2) * dz;
#ifdef FISHEYE_ACTIVE
activejacobian(xbound,ybound,zbound,
&jacobian[0],&jacobian[1],&jacobian[2],
&jacobian[3],&jacobian[4],&jacobian[5],
&jacobian[6],&jacobian[7],&jacobian[8]);
#else
CCTK_WARN(0,"You must compile with FishEye for this to work!");
#endif
jdet[l+3*m+9*n] =
-jacobian[2]*jacobian[4]*jacobian[6] +
jacobian[1]*jacobian[5]*jacobian[6] +
jacobian[2]*jacobian[3]*jacobian[7] -
jacobian[0]*jacobian[5]*jacobian[7] -
jacobian[1]*jacobian[3]*jacobian[8] +
jacobian[0]*jacobian[4]*jacobian[8];
}
}
}
cell_jdet[index] = jdet[0];
/*
Integrate by Simpsons rule over both directions
*/
/*
x
*/
cell_surface[index] =
1.0 / 36.0 * ( (jdet[2] + 4.0 * jdet[5] + jdet[8])+
4.0 *(jdet[11] + 4.0 * jdet[14] + jdet[17])+
(jdet[20] + 4.0 * jdet[23] + jdet[26]) );
/*
y
*/
cell_surface[index + totalsize] =
1.0 / 36.0 * ( (jdet[6] + 4.0 * jdet[7] + jdet[8])+
4.0 *(jdet[15] + 4.0 * jdet[16] + jdet[17])+
(jdet[24] + 4.0 * jdet[25] + jdet[26]) );
/*
z
*/
cell_surface[index + 2 * totalsize] =
1.0 / 36.0 * ( (jdet[18] + 4.0 * jdet[19] + jdet[20])+
4.0 *(jdet[21] + 4.0 * jdet[22] + jdet[23])+
(jdet[24] + 4.0 * jdet[25] + jdet[26]) );
/*
scalar for the x direction at the left, needed for
the volume calculations
*/
cell_surface_l =
1.0 / 36.0 * ( (jdet[0] + 4.0 * jdet[3] + jdet[6])+
4.0 *(jdet[9] + 4.0 * jdet[12] + jdet[15])+
(jdet[18] + 4.0 * jdet[21] + jdet[24]));
/*
The slice through the centre holding x fixed.
*/
cell_centre_slice =
1.0 / 36.0 * ( (jdet[1] + 4.0 * jdet[4] + jdet[7])+
4.0 *(jdet[10] + 4.0 * jdet[13] + jdet[16])+
(jdet[19] + 4.0 * jdet[22] + jdet[25]) );
/*
The cell volume.
Again using Simpsons rule, only in the x direction.
*/
cell_volume[index] =
1.0 / 6.0 * ( cell_surface_l + 4.0 * cell_centre_slice +
cell_surface[index] );
}
}
}
}
else
{
for (k = 0; k < nz; k++)
{
for (j = 0; j < ny; j++)
{
for (i = 0; i < nx; i++)
{
index = CCTK_GFINDEX3D(cctkGH, i, j, k);
cell_volume[index] = 1.0;
cell_surface[index] = 1.0;
cell_surface[index + totalsize] = 1.0;
cell_surface[index + 2 * totalsize] = 1.0;
}
}
}
}
return;
}
/*@@
@routine GRHydro_Fisheye_Analysis
@date
@author Christian Ott, Ian Hawke
@desc
Prepare output of GRHydro variables in physical coordinates
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
int GRHydro_Fisheye_Analysis(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
double jacobian[9];
int i,j,k, index;
/* let's first do the scalars: simple copying */
for(i=0;
i<cctkGH->cctk_lsh[0]*cctkGH->cctk_lsh[1]*cctkGH->cctk_lsh[2];
i++)
{
frho[i] = rho[i];
fpress[i] = press[i];
feps[i] = eps[i];
}
/* now the vectors: more complicated... first we need to (numerically)
calculate the jacobian */
for(i=0;i<cctkGH->cctk_lsh[0];i++)
{
for(j=0;j<cctkGH->cctk_lsh[1];j++)
{
for(k=0;k<cctkGH->cctk_lsh[2];k++)
{
index = CCTK_GFINDEX3D(cctkGH,i,j,k);
#ifdef FISHEYE_ACTIVE
activejacobian(x[index], y[index], z[index],
&jacobian[0],&jacobian[1],&jacobian[2],
&jacobian[3],&jacobian[4],&jacobian[5],
&jacobian[6],&jacobian[7],&jacobian[8]);
#else
CCTK_WARN(1,"The output of \"FishEye\" velocities is only meaningful if FishEye is active!");
jacobian[0]=1.0;
jacobian[1]=0.0;
jacobian[2]=0.0;
jacobian[3]=0.0;
jacobian[4]=1.0;
jacobian[5]=0.0;
jacobian[6]=0.0;
jacobian[7]=0.0;
jacobian[8]=1.0;
#endif
fvelx[index] =
jacobian[0] * velx[index] +
jacobian[1] * vely[index] +
jacobian[2] * velz[index];
fvely[index] =
jacobian[3] * velx[index] +
jacobian[4] * vely[index] +
jacobian[5] * velz[index];
fvelz[index] =
jacobian[6] * velx[index] +
jacobian[7] * vely[index] +
jacobian[8] * velz[index];
}
}
}
return;
}
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