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/*@@
@file Utils.F
@date Sat Jan 26 02:28:46 2002
@author
@desc
Utility functions for other thorns. Calculation of the determinant
of the spatial metric and the upper metric.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
/*@@
@routine GRHydro_RefinementLevel
@date July 2005
@author
@desc
Calculates the current refinement level from flesh data
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine GRHydro_RefinementLevel(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
GRHydro_reflevel = aint(log10(dble(cctk_levfac(1)))/log10(2.0d0))
end subroutine GRHydro_RefinementLevel
/*@@
@routine SpatialDeterminant
@date Sat Jan 26 02:30:23 2002
@author
@desc
Calculates the determinant of the spatial metric.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine SpatialDeterminant(gxx,gxy,gxz,gyy,gyz,gzz,det)
implicit none
CCTK_REAL :: det
CCTK_REAL :: gxx,gxy,gxz,gyy,gyz,gzz
det = -gxz**2*gyy + 2*gxy*gxz*gyz - gxx*gyz**2 - gxy**2*gzz + gxx*gyy*gzz
!!$ Why is this weird order necessary? Search me. It just seemed
!!$ to make a really odd NaN go away.
!!$ det = -gxz**2*gyy + 2*gxy*gxz*gyz
!!$ det = det - gxx*gyz**2 - gxy**2*gzz
!!$ det = det + gxx*gyy*gzz
return
end subroutine SpatialDeterminant
/*@@
@routine UpperMetric
@date Sat Jan 26 02:32:26 2002
@author
@desc
Calculates the upper metric. The determinant is given, not
calculated.
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine UpperMetric(uxx, uxy, uxz, uyy, uyz, uzz, &
det, gxx, gxy, gxz, gyy, gyz, gzz)
implicit none
CCTK_REAL :: uxx, uxy, uxz, uyy, uyz, uzz, det, &
gxx, gxy, gxz, gyy, gyz, gzz, invdet
invdet = 1.d0 / det
uxx=(-gyz**2 + gyy*gzz)*invdet
uxy=(gxz*gyz - gxy*gzz)*invdet
uyy=(-gxz**2 + gxx*gzz)*invdet
uxz=(-gxz*gyy + gxy*gyz)*invdet
uyz=(gxy*gxz - gxx*gyz)*invdet
uzz=(-gxy**2 + gxx*gyy)*invdet
return
end subroutine UpperMetric
/*@@
@routine SetMetricTemps
@date Wed Mar 23 10:01:08 2005
@author Ian Hawke
@desc
If using the new EOS store the metric determinant and inverse metric
to avoid repeated computation
@enddesc
@calls
@calledby
@history
@endhistory
@@*/
subroutine SetMetricTemps(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
CCTK_INT :: i, j, k, nx, ny, nz
CCTK_REAL :: psi4pt
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
do k = 1, nz
do j = 1, ny
do i = 1, nx
if (conformal_state .eq. 0) then
call SpatialDeterminant(&
gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),&
gyy(i,j,k),gyz(i,j,k),gzz(i,j,k),&
GRHydro_det(i,j,k))
call UpperMetric(&
GRHydro_uxx(i,j,k),GRHydro_uxy(i,j,k),GRHydro_uxz(i,j,k),&
GRHydro_uyy(i,j,k),GRHydro_uyz(i,j,k),GRHydro_uzz(i,j,k),&
GRHydro_det(i,j,k),&
gxx(i,j,k),gxy(i,j,k),gxz(i,j,k),&
gyy(i,j,k),gyz(i,j,k),gzz(i,j,k))
else
psi4pt = psi(i,j,k)**4
call SpatialDeterminant(&
psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),psi4pt*gxz(i,j,k),&
psi4pt*gyy(i,j,k),psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k),&
GRHydro_det(i,j,k))
call UpperMetric(&
GRHydro_uxx(i,j,k),GRHydro_uxy(i,j,k),GRHydro_uxz(i,j,k),&
GRHydro_uyy(i,j,k),GRHydro_uyz(i,j,k),GRHydro_uzz(i,j,k),&
GRHydro_det(i,j,k),&
psi4pt*gxx(i,j,k),psi4pt*gxy(i,j,k),psi4pt*gxz(i,j,k),&
psi4pt*gyy(i,j,k),psi4pt*gyz(i,j,k),psi4pt*gzz(i,j,k))
end if
end do
end do
end do
end subroutine SetMetricTemps
|
