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/*@@
@file Misner_multiple.F
@date
@author Carsten Gundlach
@desc
Set up initial data for multiple Misner black holes
@enddesc
@version $Header$
@@*/
#include <string.h>
#include "cctk.h"
#include "cctk_Arguments.h"
#include "cctk_Parameters.h"
#include "IDAnalyticBH.h"
static const char *rcsid = "$Header$";
CCTK_FILEVERSION(CactusEinstein_IDAnalyticBH_Misner_multiple_c)
/*@@
@routine Misner_multiple
@date
@author Carsten Gundlach
@desc
Set up initial data for multiple Misner black holes
@enddesc
@calls MisnerEvalPsi
@history
@hdate Fri Apr 26 10:04:05 2002 @hauthor Tom Goodale
@hdesc Changed to use new StaticConformal stuff
@hdate 6.May.2003 @hauthor Jonathan Thornburg
@hdesc code cleanups
@endhistory
@@*/
void Misner_multiple(CCTK_ARGUMENTS)
{
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
int i, npoints;
CCTK_REAL xval, yval, zval;
CCTK_REAL inv_psi, tmp0, tmp1, tmp2, tmp3, tmp4;
const CCTK_REAL nm_eps = 1e-6; /* finite differencing step*/
const CCTK_REAL halved_inv_nm_eps = 0.5 / nm_eps;
const CCTK_REAL inv_nm_eps_squared = 1.0 / SQR(nm_eps);
int make_conformal_derivs = 0;
CCTK_VInfo(CCTK_THORNSTRING,
"setting up Misner initial data for %d black holes",
(int)misner_nbh);
/* Check if we should create and store conformal factor stuff */
if(CCTK_EQUALS(metric_type, "static conformal"))
{
if (CCTK_EQUALS(conformal_storage,"factor"))
{
*conformal_state = 1;
make_conformal_derivs = 0;
}
else if (CCTK_EQUALS(conformal_storage,"factor+derivs"))
{
*conformal_state = 2;
make_conformal_derivs = 1;
}
else if (CCTK_EQUALS(conformal_storage,"factor+derivs+2nd derivs"))
{
*conformal_state = 3;
make_conformal_derivs = 1;
}
else
{
CCTK_VWarn(0, __LINE__, __FILE__, CCTK_THORNSTRING,
"Misner_multiple(): impossible value for conformal_storage=\"%s\"!",
conformal_storage); /*NOTREACHED*/
}
}
npoints = cctk_lsh[0] * cctk_lsh[1] * cctk_lsh[2];
/* Initialize C global variables
* -----------------------------
*/
Misner_init(misner_nbh, mu, nmax);
/* Get value of psi pointwise from a C function
* --------------------------------------------
*/
for(i = 0; i < npoints; i++)
{
xval = x[i];
yval = y[i];
zval = z[i];
tmp0 = MisnerEvalPsi(xval, yval, zval);
psi[i] = tmp0;
/* Only calculate derivatives of psi if required
* ---------------------------------------------
*/
if (make_conformal_derivs)
{
tmp1 = MisnerEvalPsi(xval+nm_eps,yval,zval);
tmp2 = MisnerEvalPsi(xval-nm_eps,yval,zval);
psix[i] = (tmp1-tmp2) * halved_inv_nm_eps;
if(*conformal_state > 2)
{
psixx[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
}
tmp1 = MisnerEvalPsi(xval,yval+nm_eps,zval);
tmp2 = MisnerEvalPsi(xval,yval-nm_eps,zval);
psiy[i] = (tmp1-tmp2) * halved_inv_nm_eps;
if(*conformal_state > 2)
{
psiyy[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
}
tmp1 = MisnerEvalPsi(xval,yval,zval+nm_eps);
tmp2 = MisnerEvalPsi(xval,yval,zval-nm_eps);
psiz[i] = (tmp1-tmp2) * halved_inv_nm_eps;
if(*conformal_state > 2)
{
psizz[i] = (tmp1+tmp2-2.0*tmp0) * inv_nm_eps_squared;
}
if(*conformal_state > 2)
{
tmp1 = MisnerEvalPsi(xval+nm_eps,yval+nm_eps,zval);
tmp2 = MisnerEvalPsi(xval+nm_eps,yval-nm_eps,zval);
tmp3 = MisnerEvalPsi(xval-nm_eps,yval+nm_eps,zval);
tmp4 = MisnerEvalPsi(xval-nm_eps,yval-nm_eps,zval);
psixy[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
tmp1 = MisnerEvalPsi(xval,yval+nm_eps,zval+nm_eps);
tmp2 = MisnerEvalPsi(xval,yval-nm_eps,zval+nm_eps);
tmp3 = MisnerEvalPsi(xval,yval+nm_eps,zval-nm_eps);
tmp4 = MisnerEvalPsi(xval,yval-nm_eps,zval-nm_eps);
psiyz[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
tmp1 = MisnerEvalPsi(xval+nm_eps,yval,zval+nm_eps);
tmp2 = MisnerEvalPsi(xval+nm_eps,yval,zval-nm_eps);
tmp3 = MisnerEvalPsi(xval-nm_eps,yval,zval+nm_eps);
tmp4 = MisnerEvalPsi(xval-nm_eps,yval,zval-nm_eps);
psixz[i] = 0.25*(tmp1-tmp2-tmp3+tmp4) * inv_nm_eps_squared;
}
}
}
/* Cactus conventions
* ------------------
*/
if (make_conformal_derivs)
{
for(i = 0; i < npoints; i++)
{
inv_psi = 1.0 / psi[i];
psix[i] *= inv_psi;
psiy[i] *= inv_psi;
psiz[i] *= inv_psi;
if(*conformal_state > 2)
{
psixx[i] *= inv_psi;
psixy[i] *= inv_psi;
psixz[i] *= inv_psi;
psiyy[i] *= inv_psi;
psiyz[i] *= inv_psi;
psizz[i] *= inv_psi;
}
}
}
/* Metric depends on conformal state
* ---------------------------------
*/
if (CCTK_EQUALS(metric_type, "static conformal"))
{
for(i = 0; i < npoints; i++)
{
gxx[i] = 1.0;
gyy[i] = 1.0;
gzz[i] = 1.0;
}
}
else
{
for(i = 0; i < npoints; i++)
{
gxx[i] = psi[i] * psi[i] * psi[i] * psi[i];
gyy[i] = gxx[i];
gzz[i] = gxx[i];
}
}
IDAnalyticBH_zero_CCTK_REAL_array(npoints, gxy);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, gxz);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, gyz);
/* Time-symmetric data
* -------------------
*/
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxx);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxy);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kxz);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kyy);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kyz);
IDAnalyticBH_zero_CCTK_REAL_array(npoints, kzz);
}
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