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/*@@
@file Schwarzschild.c
@date Sun Oct 17 10:35:41 1999
@author Tom Goodale
@desc
C version of Scwhwarzschild lapse routine
@enddesc
@@*/
#include <math.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
/* Need include file from Einstein */
#include "CactusEinstein/Einstein/src/Einstein.h"
void Schwarzschild(CCTK_CARGUMENTS)
{
DECLARE_CCTK_CARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_REAL zero,one,two,three;
CCTK_REAL tmp;
CCTK_REAL r_squared;
int i,j,k;
int nx,ny,nz;
int index;
zero = 0.0;
one = 1.0;
two = 2.0;
three = 3.0;
nx = cctk_lsh[0];
ny = cctk_lsh[1];
nz = cctk_lsh[2];
/* conformal metric flag */
if(use_conformal == 1)
{
*conformal_state = CONFORMAL_METRIC;
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);
/* Compute conformal factor */
psi[index] = ( one + mass/two/r[index]);
/* derivatives of psi / psi */
tmp = mass/two/pow(r[index],3) / psi[index];
psix[index] = -x[index]*tmp;
psiy[index] = -y[index]*tmp;
psiz[index] = -z[index]*tmp;
tmp = mass/two/pow(r[index],5)/psi[index];
psixy[index] = three*x[index]*y[index]*tmp;
psixz[index] = three*x[index]*z[index]*tmp;
psiyz[index] = three*y[index]*z[index]*tmp;
r_squared = r[index]*r[index];
psixx[index] = (three*x[index]*x[index] - r_squared)*tmp;
psiyy[index] = (three*y[index]*y[index] - r_squared)*tmp;
psizz[index] = (three*z[index]*z[index] - r_squared)*tmp;
gxx[index] = one;
gyy[index] = one;
gzz[index] = one;
gxy[index] = zero;
gxz[index] = zero;
gyz[index] = zero;
}
}
}
}
else
{
*conformal_state = NOCONFORMAL_METRIC;
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);
gxx[index] = pow(( one + mass/two/r[index]), 4);
gyy[index] = gxx[index];
gzz[index] = gxx[index];
gxy[index] = zero;
gxz[index] = zero;
gyz[index] = zero;
}
}
}
}
/* If the initial lapse is not one ... */
if (CCTK_Equals(initial_lapse,"schwarz"))
{
CCTK_INFO("Initialise with schwarzschild lapse");
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);
alp[index] = (2.*r[index] - mass)/(2.*r[index]+mass);
}
}
}
}
/* time symmetric initial slice */
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);
kxx[index] = zero;
kxy[index] = zero;
kxz[index] = zero;
kyy[index] = zero;
kyz[index] = zero;
kzz[index] = zero;
}
}
}
return;
}
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