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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_Sources(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, 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
character(len=15) :: vname
CCTK_INT, dimension(1) :: lsh
CCTK_POINTER, dimension(3) :: interp_coords
CCTK_POINTER, dimension(14) :: out_arrays
CCTK_INT, dimension(12) :: in_arrays
CCTK_INT, dimension(14), parameter :: op_indices = (/ 0, 1, 2, 3, 4, &
5, 6, 7, 8, 9, &
10, 10, 10, 11 /), &
op_codes = (/ 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, &
1, 2, 3, 0 /)
CCTK_INT, dimension(14) :: out_types
CCTK_REAL :: alp2, psi4, dfux, dfuy, dfuz, factor, ssign
CCTK_REAL :: idetg, guxx, guxy, guxz, guyy, guyz, guzz
! Set the sign correctly 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
! 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 pointers to the output arrays.
out_arrays(1) = CCTK_PointerTo(alpg)
out_arrays(2) = CCTK_PointerTo(betaxg)
out_arrays(3) = CCTK_PointerTo(betayg)
out_arrays(4) = CCTK_PointerTo(betazg)
out_arrays(5) = CCTK_PointerTo(gxxg)
out_arrays(6) = CCTK_PointerTo(gxyg)
out_arrays(7) = CCTK_PointerTo(gxzg)
out_arrays(8) = CCTK_PointerTo(gyyg)
out_arrays(9) = CCTK_PointerTo(gyzg)
out_arrays(10) = CCTK_PointerTo(gzzg)
out_arrays(11) = CCTK_PointerTo(dfxg)
out_arrays(12) = CCTK_PointerTo(dfyg)
out_arrays(13) = CCTK_PointerTo(dfzg)
out_arrays(14) = CCTK_PointerTo(psig)
! 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 indices to the input grid functions.
call CCTK_VarIndex ( in_arrays(1), 'admbase::alp' )
call CCTK_VarIndex ( in_arrays(2), 'admbase::betax' )
call CCTK_VarIndex ( in_arrays(3), 'admbase::betay' )
call CCTK_VarIndex ( in_arrays(4), 'admbase::betaz' )
call CCTK_VarIndex ( in_arrays(5), 'admbase::gxx' )
call CCTK_VarIndex ( in_arrays(6), 'admbase::gxy' )
call CCTK_VarIndex ( in_arrays(7), 'admbase::gxz' )
call CCTK_VarIndex ( in_arrays(8), 'admbase::gyy' )
call CCTK_VarIndex ( in_arrays(9), 'admbase::gyz' )
call CCTK_VarIndex ( in_arrays(10), 'admbase::gzz' )
write(vname,'(a12,i1,a1)') 'ehfinder::f[', l-1,']'
call CCTK_VarIndex ( in_arrays(11), vname )
call CCTK_VarIndex ( in_arrays(12), 'staticconformal::psi' )
! Check the metric type. At present physical and static_conformal are
! supported.
if ( CCTK_EQUALS ( metric_type, 'physical' ) ) then
! Set the operand indices table entry, corresponding
! to interpolation of admbase::alp (1), admbase::shift (3),
! admbase::metric(6) and the first derivatives of ehfinder::f (3) for
! a total of 13 output arrays.
call Util_TableSetIntArray ( status, table_handle, 13, &
op_indices(1:13), 'operand_indices' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operand indices array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
! Set the corresponding table entry for the operation codes.
call Util_TableSetIntArray ( status, table_handle, 13, &
op_codes(1:13), 'operation_codes' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operation codes array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
! Call the interpolator.
call CCTK_InterpGridArrays ( status, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1), CCTK_VARIABLE_REAL, &
interp_coords, 11, in_arrays(1:11), &
13, out_types(1:13), out_arrays(1:13) )
if ( status .lt. 0 ) then
call CCTK_INFO ( 'Interpolation failed.' )
end if
! For each point on this processor calculate the right hand side of the
! characteristic evolution equation.
do i = 1, lsh(1)
! calculate the square of the lapse.
alp2 = alpg(i)**2
! Calculate the inverse of the 3-metric.
guxx = gyyg(i) * gzzg(i) - gyzg(i)**2
guxy = gxzg(i) * gyzg(i) - gxyg(i) * gzzg(i)
guxz = gxyg(i) * gyzg(i) - gxzg(i) * gyyg(i)
idetg = one / ( gxxg(i) * guxx + gxyg(i) * guxy + gxzg(i) * guxz )
guxx = idetg * guxx
guxy = idetg * guxy
guxz = idetg * guxz
guyy = ( gxxg(i) * gzzg(i) - gxzg(i)**2 ) * idetg
guyz = ( gxyg(i) * gxzg(i) - gxxg(i) * gyzg(i) ) * idetg
guzz = ( gxxg(i) * gyyg(i) - gxyg(i)**2 ) * idetg
! Raise the index of the partial derivatives of f.
dfux = guxx * dfxg(i) + guxy * dfyg(i) + guxz * dfzg(i)
dfuy = guxy * dfxg(i) + guyy * dfyg(i) + guyz * dfzg(i)
dfuz = guxz * dfxg(i) + guyz * dfyg(i) + guzz * dfzg(i)
! Calculate the overall multiplication factor.
factor = alp2 / sqrt ( alp2 * ( dfux * dfxg(i) + &
dfuy * dfyg(i) + &
dfuz * dfzg(i) ) )
! Finally obtain dx^i/dt.
dxg(i,l) = - betaxg(i) + ssign * factor * dfux
dyg(i,l) = - betayg(i) + ssign * factor * dfuy
dzg(i,l) = - betazg(i) + ssign * factor * dfuz
end do
else if ( CCTK_EQUALS ( metric_type, 'static conformal' ) ) then
call Util_TableSetIntArray ( status, table_handle, 14, &
op_indices, 'operand_indices' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operand indices array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
call Util_TableSetIntArray ( status, table_handle, 14, &
op_codes, 'operation_codes' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operation codes array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
call CCTK_InterpGridArrays ( status, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1), CCTK_VARIABLE_REAL, &
interp_coords, 12, in_arrays, &
14, out_types, out_arrays )
if ( status .lt. 0 ) then
call CCTK_INFO ( 'Interpolation failed.' )
end if
do i = 1, lsh(1)
alp2 = alpg(i)**2
! The inverse of psi^4
psi4 = one / psig(i)**4
guxx = gyyg(i) * gzzg(i) - gyzg(i)**2
guxy = gxzg(i) * gyzg(i) - gxyg(i) * gzzg(i)
guxz = gxyg(i) * gyzg(i) - gxzg(i) * gyyg(i)
! The inverse of the determinant divided by psi^4.
idetg = psi4 / ( gxxg(i) * guxx + &
gxyg(i) * guxy + &
gxzg(i) * 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 = ( gxxg(i) * gzzg(i) - gxzg(i)**2 ) * idetg
guyz = ( gxyg(i) * gxzg(i) - gxxg(i) * gyzg(i) ) * idetg
guzz = ( gxxg(i) * gyyg(i) - gxyg(i)**2 ) * idetg
dfux = guxx * dfxg(i) + guxy * dfyg(i) + guxz * dfzg(i)
dfuy = guxy * dfxg(i) + guyy * dfyg(i) + guyz * dfzg(i)
dfuz = guxz * dfxg(i) + guyz * dfyg(i) + guzz * dfzg(i)
factor = alp2 / sqrt ( alp2 * ( dfux * dfxg(i) + &
dfuy * dfyg(i) + &
dfuz * dfzg(i) ) )
dxg(i,l) = - betaxg(i) + ssign * factor * dfux
dyg(i,l) = - betayg(i) + ssign * factor * dfuy
dzg(i,l) = - betazg(i) + ssign * factor * dfuz
end do
end if
end do
return
end subroutine EHFinder_Generator_Sources
subroutine EHFinder_Generator_Sources_2D(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, 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
character(len=15) :: vname
CCTK_INT, dimension(2) :: lsh
CCTK_POINTER, dimension(3) :: interp_coords
CCTK_POINTER, dimension(14) :: out_arrays
CCTK_INT, dimension(12) :: in_arrays
CCTK_INT, dimension(14), parameter :: op_indices = (/ 0, 1, 2, 3, 4, &
5, 6, 7, 8, 9, &
10, 10, 10, 11 /), &
op_codes = (/ 0, 0, 0, 0, 0, &
0, 0, 0, 0, 0, &
1, 2, 3, 0 /)
CCTK_INT, dimension(14) :: out_types
CCTK_REAL :: alp2, psi4, dfux, dfuy, dfuz, factor, ssign
CCTK_REAL :: idetg, guxx, guxy, guxz, guyy, guyz, guzz
! Set the sign correctly 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
! Find out how many interpolation points are located on this processor.
call CCTK_GrouplshGN ( status, cctkGH, 2, lsh, 'ehfinder::xg2' )
if ( status .lt. 0 ) then
call CCTK_WARN ( 0, 'cannot get local size for surface arrays' )
end if
out_arrays(1) = CCTK_PointerTo(alpg2)
out_arrays(2) = CCTK_PointerTo(betaxg2)
out_arrays(3) = CCTK_PointerTo(betayg2)
out_arrays(4) = CCTK_PointerTo(betazg2)
out_arrays(5) = CCTK_PointerTo(gxxg2)
out_arrays(6) = CCTK_PointerTo(gxyg2)
out_arrays(7) = CCTK_PointerTo(gxzg2)
out_arrays(8) = CCTK_PointerTo(gyyg2)
out_arrays(9) = CCTK_PointerTo(gyzg2)
out_arrays(10) = CCTK_PointerTo(gzzg2)
out_arrays(11) = CCTK_PointerTo(dfxg2)
out_arrays(12) = CCTK_PointerTo(dfyg2)
out_arrays(13) = CCTK_PointerTo(dfzg2)
out_arrays(14) = CCTK_PointerTo(psig2)
! Set the pointers to the output arrays.
! 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(xg2(1,1,l))
interp_coords(2) = CCTK_PointerTo(yg2(1,1,l))
interp_coords(3) = CCTK_PointerTo(zg2(1,1,l))
! Set the indices to the input grid functions.
call CCTK_VarIndex ( in_arrays(1), 'admbase::alp' )
call CCTK_VarIndex ( in_arrays(2), 'admbase::betax' )
call CCTK_VarIndex ( in_arrays(3), 'admbase::betay' )
call CCTK_VarIndex ( in_arrays(4), 'admbase::betaz' )
call CCTK_VarIndex ( in_arrays(5), 'admbase::gxx' )
call CCTK_VarIndex ( in_arrays(6), 'admbase::gxy' )
call CCTK_VarIndex ( in_arrays(7), 'admbase::gxz' )
call CCTK_VarIndex ( in_arrays(8), 'admbase::gyy' )
call CCTK_VarIndex ( in_arrays(9), 'admbase::gyz' )
call CCTK_VarIndex ( in_arrays(10), 'admbase::gzz' )
write(vname,'(a12,i1,a1)') 'ehfinder::f[', l-1,']'
call CCTK_VarIndex ( in_arrays(11), vname )
call CCTK_VarIndex ( in_arrays(12), 'staticconformal::psi' )
! Check the metric type. At present physical and static_conformal are
! supported.
if ( CCTK_EQUALS ( metric_type, 'physical' ) ) then
! Set the operand indices table entry, corresponding
! to interpolation of admbase::alp (1), admbase::shift (3),
! admbase::metric(6) and the first derivatives of ehfinder::f (3) for
! a total of 13 output arrays.
call Util_TableSetIntArray ( status, table_handle, 13, &
op_indices(1:13), 'operand_indices' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operand indices array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
! Set the corresponding table entry for the operation codes.
call Util_TableSetIntArray ( status, table_handle, 13, &
op_codes(1:13), 'operation_codes' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operation codes array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
! Call the interpolator.
call CCTK_InterpGridArrays ( status, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1)*lsh(2), CCTK_VARIABLE_REAL, &
interp_coords, 11, in_arrays(1:11), &
13, out_types(1:13), out_arrays(1:13) )
if ( status .lt. 0 ) then
call CCTK_INFO ( 'Interpolation failed.' )
end if
! For each point on this processor calculate the right hand side of the
! characteristic evolution equation.
do j = 1, lsh(2)
do i = 1, lsh(1)
! calculate the square of the lapse.
alp2 = alpg2(i,j)**2
! Calculate the inverse of the 3-metric.
guxx = gyyg2(i,j) * gzzg2(i,j) - gyzg2(i,j)**2
guxy = gxzg2(i,j) * gyzg2(i,j) - gxyg2(i,j) * gzzg2(i,j)
guxz = gxyg2(i,j) * gyzg2(i,j) - gxzg2(i,j) * gyyg2(i,j)
idetg = one / ( gxxg2(i,j) * guxx + gxyg2(i,j) * guxy &
+ gxzg2(i,j) * guxz )
guxx = idetg * guxx
guxy = idetg * guxy
guxz = idetg * guxz
guyy = ( gxxg2(i,j) * gzzg2(i,j) - gxzg2(i,j)**2 ) * idetg
guyz = ( gxyg2(i,j) * gxzg2(i,j) - gxxg2(i,j) * gyzg2(i,j) ) * idetg
guzz = ( gxxg2(i,j) * gyyg2(i,j) - gxyg2(i,j)**2 ) * idetg
! Raise the index of the partial derivatives of f.
dfux = guxx * dfxg2(i,j) + guxy * dfyg2(i,j) + guxz * dfzg2(i,j)
dfuy = guxy * dfxg2(i,j) + guyy * dfyg2(i,j) + guyz * dfzg2(i,j)
dfuz = guxz * dfxg2(i,j) + guyz * dfyg2(i,j) + guzz * dfzg2(i,j)
! Calculate the overall multiplication factor.
factor = alp2 / sqrt ( alp2 * ( dfux * dfxg2(i,j) + &
dfuy * dfyg2(i,j) + &
dfuz * dfzg2(i,j) ) )
! Finally obtain dx^i/dt.
dxg2(i,j,l) = - betaxg2(i,j) + ssign * factor * dfux
dyg2(i,j,l) = - betayg2(i,j) + ssign * factor * dfuy
dzg2(i,j,l) = - betazg2(i,j) + ssign * factor * dfuz
end do
end do
else if ( CCTK_EQUALS ( metric_type, 'static conformal' ) ) then
call Util_TableSetIntArray ( status, table_handle, 14, &
op_indices, 'operand_indices' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operand indices array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
call Util_TableSetIntArray ( status, table_handle, 14, &
op_codes, 'operation_codes' )
if ( status .lt. 0 ) then
warn_message = 'Cannot set operation codes array in parameter table'
call CCTK_WARN ( 0, trim(warn_message) )
endif
call CCTK_InterpGridArrays ( status, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1)*lsh(2), CCTK_VARIABLE_REAL, &
interp_coords, 12, in_arrays, &
14, out_types, out_arrays )
if ( status .lt. 0 ) then
call CCTK_INFO ( 'Interpolation failed.' )
end if
do j = 1, lsh(2)
do i = 1, lsh(1)
alp2 = alpg2(i,j)**2
! The inverse of psi^4
psi4 = one / psig2(i,j)**4
guxx = gyyg2(i,j) * gzzg2(i,j) - gyzg2(i,j)**2
guxy = gxzg2(i,j) * gyzg2(i,j) - gxyg2(i,j) * gzzg2(i,j)
guxz = gxyg2(i,j) * gyzg2(i,j) - gxzg2(i,j) * gyyg2(i,j)
! The inverse of the determinant divided by psi^4.
idetg = psi4 / ( gxxg2(i,j) * guxx + &
gxyg2(i,j) * guxy + &
gxzg2(i,j) * 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 = ( gxxg2(i,j) * gzzg2(i,j) - gxzg2(i,j)**2 ) * idetg
guyz = ( gxyg2(i,j) * gxzg2(i,j) - gxxg2(i,j) * gyzg2(i,j) ) * idetg
guzz = ( gxxg2(i,j) * gyyg2(i,j) - gxyg2(i,j)**2 ) * idetg
dfux = guxx * dfxg2(i,j) + guxy * dfyg2(i,j) + guxz * dfzg2(i,j)
dfuy = guxy * dfxg2(i,j) + guyy * dfyg2(i,j) + guyz * dfzg2(i,j)
dfuz = guxz * dfxg2(i,j) + guyz * dfyg2(i,j) + guzz * dfzg2(i,j)
factor = alp2 / sqrt ( alp2 * ( dfux * dfxg2(i,j) + &
dfuy * dfyg2(i,j) + &
dfuz * dfzg2(i,j) ) )
dxg2(i,j,l) = - betaxg2(i,j) + ssign * factor * dfux
dyg2(i,j,l) = - betayg2(i,j) + ssign * factor * dfuy
dzg2(i,j,l) = - betazg2(i,j) + ssign * factor * dfuz
end do
end do
end if
end do
return
end subroutine EHFinder_Generator_Sources_2D
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