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! Calculation of the sources for the level set function.
! $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
subroutine EHFinder_Generator_Sources2(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, l
CCTK_INT :: interp_handle, table_handle, status, coord_system_handle
character(len=200) :: gen_interp
character(len=128) :: warn_message
CCTK_INT :: gen_interp_len
character(len=7) :: gen_order
CCTK_INT, dimension(1) :: lsh
CCTK_POINTER, dimension(3) :: interp_coords
CCTK_POINTER, dimension(3) :: out_arrays
CCTK_INT, dimension(3) :: in_arrays
CCTK_INT, dimension(3), parameter :: op_indices = (/ 0, 1, 2 /), &
op_codes = (/ 0, 0, 0 /)
CCTK_INT, dimension(3) :: out_types
CCTK_REAL :: alp2, psi4, dfux, dfuy, dfuz, factor, ssign
CCTK_REAL :: idetg, guxx, guxy, guxz, guyy, guyz, guzz
! Set the sign depending on the surface direction.
if ( CCTK_EQUALS ( surface_direction, 'outward' ) ) ssign = one
if ( CCTK_EQUALS ( surface_direction, 'inward' ) ) ssign = -one
out_types = CCTK_VARIABLE_REAL
! Convert the generator_interpolator string parameter to a Fortran string.
call CCTK_FortranString ( gen_interp_len, generator_interpolator, &
gen_interp )
! Get the corresponding interpolator handle.
call CCTK_InterpHandle ( interp_handle, gen_interp )
if ( interp_handle .lt. 0 ) then
warn_message = 'Cannot get handle for interpolation. '
warn_message = trim(warn_message)//'Forgot to activate an implementation '
warn_message = trim(warn_message)//'providing interpolation operators?'
call CCTK_WARN( 0, trim(warn_message) )
end if
! Convert the interpolation order parameter to a Fortran string to be placed
! in the interpolator table. Note that the order is assumed to contain only
! 1 digit.
write(gen_order,'(a6,i1)') 'order=',generator_interpolation_order
! Create the table directly from the string.
call Util_TableCreateFromString ( table_handle, gen_order )
if ( table_handle .lt. 0 ) then
call CCTK_WARN( 0, 'Cannot create parameter table for interpolator' )
end if
! Get the 3D coordinate system handle.
call CCTK_CoordSystemHandle ( coord_system_handle, 'cart3d' )
if ( coord_system_handle .lt. 0) then
warn_message = 'Cannot get handle for cart3d coordinate system. '
warn_message = trim(warn_message)//'Forgot to activate an implementation '
warn_message = trim(warn_message)//'providing coordinates?'
call CCTK_WARN( 0, trim(warn_message) )
endif
#include "include/physical_part.h"
! Find out how many interpolation points are located on this processor.
call CCTK_GrouplshGN ( status, cctkGH, 1, lsh, 'ehfinder::xg' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get local size for surface arrays' )
end if
! Set the indices to the input grid functions.
call CCTK_VarIndex ( in_arrays(1), 'ehfinder::xgf' )
call CCTK_VarIndex ( in_arrays(2), 'ehfinder::ygf' )
call CCTK_VarIndex ( in_arrays(3), 'ehfinder::zgf' )
! Set the operand indices table entry, corresponding
! to interpolation of ehfinder::generator_gf (3)
call Util_TableSetIntArray ( status, table_handle, 3, &
op_indices, 'operand_indices' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'Cannot set operand indices array in parameter table' )
endif
! Set the corresponding table entry for the operation codes.
call Util_TableSetIntArray ( status, table_handle, 3, &
op_codes, 'operation_codes' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'Cannot set operation codes array in parameter table' )
endif
! Loop over the level sets
do l = 1, eh_number_level_sets
! Set the pointers to the points to be interpolated to.
interp_coords(1) = CCTK_PointerTo(xg(:,l))
interp_coords(2) = CCTK_PointerTo(yg(:,l))
interp_coords(3) = CCTK_PointerTo(zg(:,l))
! Set the pointers to the output arrays.
out_arrays(1) = CCTK_PointerTo(dxg(:,l))
out_arrays(2) = CCTK_PointerTo(dyg(:,l))
out_arrays(3) = CCTK_PointerTo(dzg(:,l))
! Check the metric type. At present physical and static_conformal are
! supported.
if ( CCTK_EQUALS ( metric_type, 'physical' ) ) then
do k = kzl, kzr
do j = jyl, jyr
do i = ixl, ixr
if ( eh_mask(i,j,k,l) .ge. 0 ) then
! calculate the square of the lapse.
alp2 = alp(i,j,k)**2
! Calculate the inverse of the 3-metric.
guxx = gyy(i,j,k) * gzz(i,j,k) - gyz(i,j,k)**2
guxy = gxz(i,j,k) * gyz(i,j,k) - gxy(i,j,k) * gzz(i,j,k)
guxz = gxy(i,j,k) * gyz(i,j,k) - gxz(i,j,k) * gyy(i,j,k)
idetg = one / ( gxx(i,j,k) * guxx + &
gxy(i,j,k) * guxy + &
gxz(i,j,k) * guxz )
guxx = idetg * guxx
guxy = idetg * guxy
guxz = idetg * guxz
guyy = ( gxx(i,j,k) * gzz(i,j,k) - gxz(i,j,k)**2 ) * idetg
guyz = ( gxy(i,j,k) * gxz(i,j,k) - &
gxx(i,j,k) * gyz(i,j,k) ) * idetg
guzz = ( gxx(i,j,k) * gyy(i,j,k) - &
gxy(i,j,k)**2 ) * idetg
! Raise the index of the partial derivatives of f.
dfux = guxx * dfx(i,j,k,l) + guxy * dfy(i,j,k,l) + &
guxz * dfz(i,j,k,l)
dfuy = guxy * dfx(i,j,k,l) + guyy * dfy(i,j,k,l) + &
guyz * dfz(i,j,k,l)
dfuz = guxz * dfx(i,j,k,l) + guyz * dfy(i,j,k,l) + &
guzz * dfz(i,j,k,l)
! Calculate the overall multiplication factor.
factor = alp2 / sqrt ( alp2 * ( dfux * dfx(i,j,k,l) + &
dfuy * dfy(i,j,k,l) + &
dfuz * dfz(i,j,k,l) ) )
! Finally obtain dx^i/dt.
xgf(i,j,k) = - betax(i,j,k) + ssign * factor * dfux
ygf(i,j,k) = - betay(i,j,k) + ssign * factor * dfuy
zgf(i,j,k) = - betaz(i,j,k) + ssign * factor * dfuz
else
xgf(i,j,k) = zero
ygf(i,j,k) = zero
zgf(i,j,k) = zero
end if
end do
end do
end do
else if ( CCTK_EQUALS ( metric_type, 'static conformal' ) ) then
do k = kzl, kzr
do j = jyl, jyr
do i = ixl, ixr
if ( eh_mask(i,j,k,l) .ge. 0 ) then
alp2 = alp(i,j,k)**2
! The inverse of psi^4
psi4 = one / psi(i,j,k)**4
guxx = gyy(i,j,k) * gzz(i,j,k) - gyz(i,j,k)**2
guxy = gxz(i,j,k) * gyz(i,j,k) - gxy(i,j,k) * gzz(i,j,k)
guxz = gxy(i,j,k) * gyz(i,j,k) - gxz(i,j,k) * gyy(i,j,k)
! The inverse of the determinant divided by psi^4.
idetg = psi4 / ( gxx(i,j,k) * guxx + &
gxy(i,j,k) * guxy + &
gxz(i,j,k) * guxz )
! The inverse metric. Since the determinant is already divided
! by psi^4, this gives the inverse of the physical metric.
guxx = idetg * guxx
guxy = idetg * guxy
guxz = idetg * guxz
guyy = ( gxx(i,j,k) * gzz(i,j,k) - gxz(i,j,k)**2 ) * idetg
guyz = ( gxy(i,j,k) * gxz(i,j,k) - &
gxx(i,j,k) * gyz(i,j,k) ) * idetg
guzz = ( gxx(i,j,k) * gyy(i,j,k) - gxy(i,j,k)**2 ) * idetg
dfux = guxx * dfx(i,j,k,l) + guxy * dfy(i,j,k,l) + &
guxz * dfz(i,j,k,l)
dfuy = guxy * dfx(i,j,k,l) + guyy * dfy(i,j,k,l) + &
guyz * dfz(i,j,k,l)
dfuz = guxz * dfx(i,j,k,l) + guyz * dfy(i,j,k,l) + &
guzz * dfz(i,j,k,l)
factor = alp2 / sqrt ( alp2 * ( dfux * dfx(i,j,k,l) + &
dfuy * dfy(i,j,k,l) + &
dfuz * dfz(i,j,k,l) ) )
xgf(i,j,k) = - betax(i,j,k) + ssign * factor * dfux
ygf(i,j,k) = - betay(i,j,k) + ssign * factor * dfuy
zgf(i,j,k) = - betaz(i,j,k) + ssign * factor * dfuz
else
xgf(i,j,k) = zero
ygf(i,j,k) = zero
zgf(i,j,k) = zero
end if
end do
end do
end do
end if
! Call the interpolator.
call CCTK_InterpGridArrays ( status, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1), CCTK_VARIABLE_REAL, &
interp_coords, 3, in_arrays, &
3, out_types, out_arrays )
if ( status .lt. 0 ) then
call CCTK_INFO ( 'Interpolation failed.' )
end if
end do
return
end subroutine EHFinder_Generator_Sources2
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