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|
! Integrating over the surface(s). Right now only in full mode.
! $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
subroutine EHFinder_FindSurfaceElement(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, im, jm
CCTK_INT :: interp_handle, table_handle, coord_system_handle
character(len=200) :: area_interp
CCTK_INT :: area_interp_len
character(len=7) :: area_order
CCTK_INT, dimension(4) :: bbox
CCTK_INT, dimension(2) :: gsh, lsh, lbnd, ubnd, nghost
CCTK_REAL :: dtheta, dphi, dthetainv, dphiinv
CCTK_REAL :: dxdth, dxdph, dydth, dydph, dzdth, dzdph
! CCTK_REAL :: gtt, gtp, gpp
CCTK_POINTER, dimension(3) :: interp_coords
CCTK_POINTER, dimension(7) :: out_array
CCTK_INT, dimension(7) :: in_array
CCTK_INT, dimension(7), parameter :: out_types = (/ CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL, &
CCTK_VARIABLE_REAL /)
! If finding of surface failed do not try to integrate but exit.
if ( find_surface_status .lt. 0 ) then
return
endif
call CCTK_INFO ( 'Finding surface element' )
call CCTK_GroupbboxGN ( ierr, cctkGH, 4, bbox, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get bounding box for surface arrays" )
end if
! print*,bbox
call CCTK_GroupgshGN ( ierr, cctkGH, 2, gsh, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get global size for surface arrays" )
end if
! print*,gsh
call CCTK_GrouplbndGN ( ierr, cctkGH, 2, lbnd, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for surface arrays" )
end if
! print*,lbnd
call CCTK_GroupubndGN ( ierr, cctkGH, 2, ubnd, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get upper bounds for surface arrays" )
end if
! print*,ubnd
call CCTK_GrouplshGN ( ierr, cctkGH, 2, lsh, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for surface arrays" )
end if
! print*,lsh
call CCTK_GroupnghostzonesGN ( ierr, cctkGH, 2, nghost, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for surface arrays" )
end if
dtheta = ctheta(2,1) - ctheta(1,1)
dphi = cphi(1,2) - cphi(1,1)
dthetainv = one / dtheta
dphiinv = one / dphi
call CCTK_FortranString ( area_interp_len, area_interpolator, &
area_interp )
call CCTK_InterpHandle ( interp_handle, area_interp(1:area_interp_len) )
if ( interp_handle .lt. 0 ) then
call CCTK_WARN( 0, "Cannot get handle for interpolation. Forgot to activate an implementation providing interpolation operators??" )
end if
write(area_order,'(a6,i1)') 'order=',area_interpolation_order
call Util_TableCreateFromString ( table_handle, area_order )
if ( table_handle .lt. 0 ) then
call CCTK_WARN( 0, "Cannot create parameter table for interpolator" )
end if
call CCTK_CoordSystemHandle ( coord_system_handle, "cart3d" )
if ( coord_system_handle .lt. 0) then
call CCTK_WARN( 0, "Cannot get handle for cart3d coordinate system. Forgot to activate an implementation providing coordinates ??" )
endif
interp_coords(1) = CCTK_PointerTo(interp_x)
interp_coords(2) = CCTK_PointerTo(interp_y)
interp_coords(3) = CCTK_PointerTo(interp_z)
out_array(1) = CCTK_PointerTo(gxxi)
out_array(2) = CCTK_PointerTo(gxyi)
out_array(3) = CCTK_PointerTo(gxzi)
out_array(4) = CCTK_PointerTo(gyyi)
out_array(5) = CCTK_PointerTo(gyzi)
out_array(6) = CCTK_PointerTo(gzzi)
out_array(7) = CCTK_PointerTo(psii)
! find the cartesian coordinates for the interpolation points
! print*,center
do j = 1, lsh(2)
do i = 1, lsh(1)
interp_x(i,j) = center(1) + rsurf(i,j) * sintheta(i,j) * cosphi(i,j)
interp_y(i,j) = center(2) + rsurf(i,j) * sintheta(i,j) * sinphi(i,j)
interp_z(i,j) = center(3) + rsurf(i,j) * costheta(i,j)
end do
end do
call CCTK_VarIndex ( in_array(1), "admbase::gxx" )
call CCTK_VarIndex ( in_array(2), "admbase::gxy" )
call CCTK_VarIndex ( in_array(3), "admbase::gxz" )
call CCTK_VarIndex ( in_array(4), "admbase::gyy" )
call CCTK_VarIndex ( in_array(5), "admbase::gyz" )
call CCTK_VarIndex ( in_array(6), "admbase::gzz" )
if ( CCTK_EQUALS ( metric_type, "static conformal" ) ) then
call CCTK_VarIndex ( in_array(7), "staticconformal::psi" )
call CCTK_InterpGridArrays ( ierr, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1) * lsh(2), CCTK_VARIABLE_REAL, &
interp_coords, 7, in_array, &
7, out_types, out_array )
gxxi = psii**4 * gxxi
gxyi = psii**4 * gxyi
gxzi = psii**4 * gxzi
gyyi = psii**4 * gyyi
gyzi = psii**4 * gyzi
gzzi = psii**4 * gzzi
else
call CCTK_InterpGridArrays ( ierr, cctkGH, 3, interp_handle, &
table_handle, coord_system_handle, &
lsh(1) * lsh(2), CCTK_VARIABLE_REAL, &
interp_coords, 6, in_array(1:6), &
6, out_types(1:6), out_array(1:6) )
end if
do j = 1, lsh(2)
do i = 1, lsh(1)
! print*,i,j,ctheta(i,j),cphi(i,j)
dxdth = ( drdtheta(i,j) * sintheta(i,j) + &
rsurf(i,j) * costheta(i,j) ) * cosphi(i,j)
! print*,dxdth,rsurf(i,j)*costheta(i,j)*cosphi(i,j)
dydth = ( drdtheta(i,j) * sintheta(i,j) + &
rsurf(i,j) * costheta(i,j) ) * sinphi(i,j)
! print*,dydth,rsurf(i,j)*costheta(i,j)*sinphi(i,j)
dzdth = drdtheta(i,j) * costheta(i,j) - rsurf(i,j) * sintheta(i,j)
! print*,dzdth,-rsurf(i,j)*sintheta(i,j)
dxdph = ( drdphi(i,j) * cosphi(i,j) - &
rsurf(i,j) * sinphi(i,j) ) * sintheta(i,j)
! print*,dxdph,-rsurf(i,j)*sintheta(i,j)*sinphi(i,j)
dydph = ( drdphi(i,j) * sinphi(i,j) + &
rsurf(i,j) * cosphi(i,j) ) * sintheta(i,j)
! print*,dydph,rsurf(i,j)*sintheta(i,j)*cosphi(i,j)
dzdph = drdphi(i,j) * costheta(i,j)
! print*,dzdph,0
! print*
gtt(i,j) = dxdth**2 * gxxi(i,j) + dydth**2 * gyyi(i,j) + &
dzdth**2 * gzzi(i,j) + &
two * ( dxdth * dydth * gxyi(i,j) + &
dxdth * dzdth * gxzi(i,j) + &
dydth * dzdth * gyzi(i,j) )
gtp(i,j) = dxdth * dxdph * gxxi(i,j) + &
( dxdth * dydph + dydth * dxdph ) * gxyi(i,j) + &
( dxdth * dzdph + dzdth * dxdph ) * gxzi(i,j) + &
dydth * dydph * gyyi(i,j) + &
( dydth * dzdph + dzdth * dydph ) * gyzi(i,j) + &
dzdth * dzdph * gzzi(i,j)
gpp(i,j) = dxdph**2 * gxxi(i,j) + dydph**2 * gyyi(i,j) + &
dzdph**2 * gzzi(i,j) + &
two * ( dxdph * dydph * gxyi(i,j) + &
dxdph * dzdph * gxzi(i,j) + &
dydph * dzdph * gyzi(i,j) )
da(i,j) = dtheta * dphi * sqrt ( gtt(i,j) * gpp(i,j) - gtp(i,j)**2 )
dltheta(i,j) = dtheta * sqrt ( gtt(i,j) )
dlphi(i,j) = dphi * sqrt ( gpp(i,j) )
end do
end do
! print*,da
! do j = 1, lsh(2)
! print*,'phi = ',cphi(1,j)
! print*,da(:,j)
! print*,gtt(:,j)
! print*,gtp(:,j)
! print*,gpp(:,j)
! end do
end subroutine EHFinder_FindSurfaceElement
subroutine EHFinder_IntegrateArea(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: int_var, sn
CCTK_REAL :: eh_area_tmp
character(len=30) :: info_message
CCTK_INT, dimension(1) :: lbnd, ubnd, lsh
! If finding of surface failed do not try to integrate but exit.
if ( find_surface_status .lt. 0 ) then
return
endif
call CCTK_INFO ( 'Integrating area' )
sn = surface_counter - integrate_counter
int_tmp = sym_factor * weights * da
call CCTK_VarIndex ( int_var, "ehfinder::int_tmp" )
if ( int_var .lt. 0 ) then
call CCTK_WARN ( 0, 'Could not get index to grid array int_tmp' )
end if
! call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
! eh_area2(sn), 1, int_var )
! write(info_message,'(a15,f10.5)') 'Horizon area = ',eh_area2(sn)
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
eh_area_tmp, 1, int_var )
write(info_message,'(a15,f10.5)') 'Horizon area = ',eh_area_tmp
call CCTK_INFO(info_message)
call CCTK_GrouplbndGN ( ierr, cctkGH, 1, lbnd, "ehfinder::eh_area2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for area array" )
end if
call CCTK_GroupubndGN ( ierr, cctkGH, 1, ubnd, "ehfinder::eh_area2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get upper bounds for area array" )
end if
call CCTK_GrouplshGN ( ierr, cctkGH, 1, lsh, "ehfinder::eh_area2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for area array" )
end if
! if ( ( sn .ge. lbnd(1) + lsh(1) ) .and. ( sn .le. ubnd(1) + lsh(1) ) ) then
if ( ( sn .ge. lbnd(1) + 1 ) .and. ( sn .le. ubnd(1) + 1 ) ) then
eh_area2(sn-lbnd(1)) = eh_area_tmp
end if
print*,'Debug information : ',sn,lbnd,ubnd,lsh
! print*,eh_area2
end subroutine EHFinder_IntegrateArea
subroutine EHFinder_IntegrateCentroid(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: int_var, sn, k
character(len=50) :: info_message
CCTK_INT, dimension(1) :: lbnd, ubnd, lsh
CCTK_REAL :: centroid_x, centroid_y, centroid_z
! If finding of surface failed do not try to integrate but exit.
if ( find_surface_status .lt. 0 ) then
return
endif
call CCTK_INFO ( 'Integrating centroid' )
sn = surface_counter - integrate_counter
interp_x = center(1) + rsurf * sintheta * cosphi
interp_y = center(2) + rsurf * sintheta * sinphi
interp_z = center(3) + rsurf * costheta
call CCTK_VarIndex ( int_var, "ehfinder::int_tmp" )
if ( int_var .lt. 0 ) then
call CCTK_WARN ( 0, 'Could not get index to grid array int_tmp' )
end if
! int_tmp = sym_factor * interp_x * weights * da
! call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
! eh_centroid2_x(sn), 1, int_var )
!
! int_tmp = sym_factor * interp_y * weights * da
! call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
! eh_centroid2_y(sn), 1, int_var )
!
! int_tmp = sym_factor * interp_z * weights * da
! call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
! eh_centroid2_z(sn), 1, int_var )
! if ( s_symx ) eh_centroid2_x(sn) = zero
! if ( s_symy ) eh_centroid2_y(sn) = zero
! if ( s_symz ) eh_centroid2_z(sn) = zero
int_tmp = sym_factor * interp_x * weights * da
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
centroid_x, 1, int_var )
int_tmp = sym_factor * interp_y * weights * da
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
centroid_y, 1, int_var )
int_tmp = sym_factor * interp_z * weights * da
call CCTK_Reduce ( ierr, cctkGH, -1, sum_handle, 1, CCTK_VARIABLE_REAL, &
centroid_z, 1, int_var )
if ( s_symx ) centroid_x = zero
if ( s_symy ) centroid_y = zero
if ( s_symz ) centroid_z = zero
call CCTK_GrouplbndGN ( ierr, cctkGH, 1, lbnd, "ehfinder::eh_centroid2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for centroid array" )
end if
call CCTK_GroupubndGN ( ierr, cctkGH, 1, ubnd, "ehfinder::eh_centroid2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get upper bounds for centroid array" )
end if
call CCTK_GrouplshGN ( ierr, cctkGH, 1, lsh, "ehfinder::eh_centroid2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for centroid array" )
end if
! eh_centroid2_x(sn) = eh_centroid2_x(sn) / eh_area2(sn)
! eh_centroid2_y(sn) = eh_centroid2_y(sn) / eh_area2(sn)
! eh_centroid2_z(sn) = eh_centroid2_z(sn) / eh_area2(sn)
if ( ( sn .ge. lbnd(1) + 1 ) .and. ( sn .le. ubnd(1) + 1 ) ) then
k = sn - lbnd(1)
eh_centroid2_x(k) = centroid_x / eh_area2(k)
eh_centroid2_y(k) = centroid_y / eh_area2(k)
eh_centroid2_z(k) = centroid_z / eh_area2(k)
! print*,centroid_x,centroid_y,centroid_z
! print*,eh_area2(k)
end if
! write(info_message,'(a19,3(f10.5))') 'Horizon centroid = ', &
! eh_centroid2_x(sn), &
! eh_centroid2_y(sn), &
! eh_centroid2_z(sn)
write(info_message,'(a19,3(f10.5))') 'Horizon centroid = ', &
eh_centroid2_x(sn), &
eh_centroid2_y(sn), &
eh_centroid2_z(sn)
call CCTK_INFO(info_message)
end subroutine EHFinder_IntegrateCentroid
subroutine EHFinder_IntegrateEquatorial(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: int_var, sn, k
character(len=50) :: info_message
CCTK_INT, dimension(1) :: lbnd1, ubnd1, lsh1
CCTK_INT, dimension(2) :: lbnd, lsh, nghost
CCTK_INT, dimension(4) :: bbox
CCTK_INT :: ithl, ithr, jphl, jphr, itha, jpha
CCTK_REAL :: eq_circ_loc, eq_circ, pol_circ_loc, pol_circ
! If finding of surface failed do not try to integrate but exit.
if ( find_surface_status .lt. 0 ) then
return
endif
sn = surface_counter - integrate_counter
! Find out the lower bounds of the distributed integration grid arrays.
call CCTK_GrouplbndGN ( ierr, cctkGH, 2, lbnd, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for surface arrays" )
end if
! Find out the local size of the distributed integration grid arrays
call CCTK_GrouplshGN ( ierr, cctkGH, 2, lsh, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for surface arrays" )
end if
! Find out the bounding box of the distributed integration grid arrays
call CCTK_GroupbboxGN ( ierr, cctkGH, 4, bbox, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get bounding box for surface arrays" )
end if
! Find out the ghost size of the distributed integration grid arrays
call CCTK_GroupnghostzonesGN ( ierr, cctkGH, 2, nghost, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get ghost zones for surface arrays" )
end if
! print*,lbnd
! print*,lsh
! print*,bbox
! print*,nghost
ithl = 1; ithr = lsh(1)
jphl = 1; jphr = lsh(2)
if ( bbox(1) .eq. 0 ) ithl = ithl + nghost(1)
if ( bbox(2) .eq. 0 ) ithr = ithr - nghost(1)
if ( bbox(3) .eq. 0 ) jphl = jphl + nghost(2)
if ( bbox(4) .eq. 0 ) jphr = jphr - nghost(2)
! print*,ithl,ithr
! print*,jphl,jphr
call CCTK_INFO ( 'Integrating equatorial circumference' )
int_tmp = phi_sym_factor * phiweights * dlphi
if ( ( ithl+lbnd(1) .le. githeta ) .and. ( githeta .le. ithr+lbnd(1) ) ) then
itha = githeta - lbnd(1)
eq_circ_loc = sum ( int_tmp(itha,jphl:jphr) )
else
eq_circ_loc = zero
end if
! print*,itha,githeta,eq_circ_loc
! print*
! print*,int_tmp(itha,jphl:jphr)
! print*
! print*,phi_sym_factor
! print*
! print*,phiweights(itha,jphl:jphr)
! print*
! print*,dlphi(itha,jphl:jphr)
call CCTK_ReduceLocScalar ( ierr, cctkGH, -1, sum_handle, &
eq_circ_loc, eq_circ, CCTK_VARIABLE_REAL )
call CCTK_GrouplbndGN ( ierr, cctkGH, 1, lbnd1, "ehfinder::eh_circumference2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for area array" )
end if
call CCTK_GroupubndGN ( ierr, cctkGH, 1, ubnd1, "ehfinder::eh_circumference2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get upper bounds for area array" )
end if
call CCTK_GrouplshGN ( ierr, cctkGH, 1, lsh1, "ehfinder::eh_circumference2" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for area array" )
end if
if ( ( sn .ge. lbnd1(1) + 1 ) .and. ( sn .le. ubnd1(1) + 1 ) ) then
k = sn - lbnd1(1)
eh_circ_eq2(k) = eq_circ
end if
! eh_circ_eq2(sn) = eq_circ
write(info_message,'(a35,f10.5)') 'Horizon equatorial circumference = ',eq_circ
call CCTK_INFO(info_message)
call CCTK_INFO ( 'Integrating polar circumference' )
int_tmp = theta_sym_factor * thetaweights * dltheta
! print*,jphl+lbnd(2),jphr+lbnd(2),gjphi
if ( ( jphl+lbnd(2) .le. gjphi ) .and. ( gjphi .le. jphr+lbnd(2) ) ) then
jpha = gjphi - lbnd(2)
pol_circ_loc = sum ( int_tmp(ithl:ithr,jpha) )
else
pol_circ_loc = zero
end if
! print*,jpha,gjphi,pol_circ_loc
! print*
! print*,int_tmp(ithl:ithr,jpha)
! print*
! print*,theta_sym_factor
! print*,thetaweights(ithl:ithr,jpha)
! print*
! print*,dltheta(ithl:ithr,jpha)
call CCTK_ReduceLocScalar ( ierr, cctkGH, -1, sum_handle, &
pol_circ_loc, pol_circ, CCTK_VARIABLE_REAL )
if ( ( sn .ge. lbnd1(1) + 1 ) .and. ( sn .le. ubnd1(1) + 1 ) ) then
k = sn - lbnd1(1)
eh_circ_pol2(k) = pol_circ
end if
! eh_circ_pol2(sn) = pol_circ
write(info_message,'(a30,f10.5)') 'Horizon polar circumference = ',pol_circ
call CCTK_INFO(info_message)
end subroutine EHFinder_IntegrateEquatorial
! This routine sets up the weights for the Simpsons rule integration
! over the surface.
subroutine EHFinder_InitWeights(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
CCTK_INT :: i, j, k, im, jm
CCTK_INT, dimension(4) :: bbox
CCTK_INT, dimension(2) :: gsh, lsh, lbnd, ubnd, nghost
! Find out the lower bounds of the distributed integration grid arrays.
call CCTK_GrouplbndGN ( ierr, cctkGH, 2, lbnd, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get lower bounds for surface arrays" )
end if
! Find out the local size of the distributed integration grid arrays
call CCTK_GrouplshGN ( ierr, cctkGH, 2, lsh, "ehfinder::surface_arrays" )
if ( ierr .lt. 0 ) then
call CCTK_WARN ( 0, "cannot get local size for surface arrays" )
end if
weights = one
! Initialise the weight grid array for the 2D Simpsons rule integration.
! To do this I need to figure out the global location of the given point.
! There are 3 cases in the one dimensional case. If the point is on the
! boundary the weight is 1/3. If it is at an even position the weight
! is 4/3 and if it is at an odd position the weight is 2/3.
do j = 1, lsh(2)
! This is first done in the phi direction. Meaning that all points with
! the same theta coordinate are set to the same weight.
if ( ( lbnd(2)+j .eq. 1 ) .or. ( lbnd(2)+j .eq. nphi ) ) then
weights(:,j) = onethird
phiweights(:,j) = onethird
else if ( mod(lbnd(2)+j,2) .eq. 0 ) then
weights(:,j) = fourthirds
phiweights(:,j) = fourthirds
else
weights(:,j) = twothirds
phiweights(:,j) = twothirds
end if
! Then it is done in the theta direction with the one-dimensional
! weights beeing multiplied.
do i = 1, lsh(1)
if ( ( lbnd(1)+i .eq. 1 ) .or. ( lbnd(1)+i .eq. ntheta ) ) then
weights(i,j) = onethird * weights(i,j)
thetaweights(i,j) = onethird
else if ( mod(lbnd(1)+i,2) .eq. 0 ) then
weights(i,j) = fourthirds * weights(i,j)
thetaweights(i,j) = fourthirds
else
weights(i,j) = twothirds * weights(i,j)
thetaweights(i,j) = twothirds
end if
end do
end do
! The end result is a 2D array with the weights in the following pattern.
! 1/9 4/9 2/9 4/9 2/9 4/9 1/9
! 4/9 16/9 8/9 16/9 8/9 16/9 4/9
! 2/9 8/9 4/9 8/9 4/9 8/9 2/9
! 4/9 16/9 8/9 16/9 8/9 16/9 4/9
! 2/9 8/9 4/9 8/9 4/9 8/9 2/9
! 4/9 16/9 8/9 16/9 8/9 16/9 4/9
! 1/9 4/9 2/9 4/9 2/9 4/9 1/9
end subroutine EHFinder_InitWeights
subroutine EHFinder_CopyArea(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
! print*,Xeh_area0
! print*,Xeh_area20
! If finding of surface failed set area to zero.
print*,'Debug2 : ',find_surface_status
if ( find_surface_status .lt. 0 ) then
eh_area = zero
return
else
call CCTK_INFO('Copying area data')
eh_area = eh_area2
endif
end subroutine EHFinder_CopyArea
subroutine EHFinder_CopyCentroid(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
! print*,Xeh_centroid0
! print*,Xeh_centroid20
! If finding of surface failed set centroids to zero.
if ( find_surface_status .lt. 0 ) then
eh_centroid_x = zero
eh_centroid_y = zero
eh_centroid_z = zero
return
else
call CCTK_INFO('Copying centroid data')
eh_centroid_x = eh_centroid2_x
eh_centroid_y = eh_centroid2_y
eh_centroid_z = eh_centroid2_z
end if
end subroutine EHFinder_CopyCentroid
subroutine EHFinder_CopyCircumference(CCTK_ARGUMENTS)
use EHFinder_mod
implicit none
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
if ( find_surface_status .lt. 0 ) then
eh_circ_eq = zero
eh_circ_pol = zero
return
else
call CCTK_INFO('Copying circumference data')
eh_circ_eq = eh_circ_eq2
eh_circ_pol = eh_circ_pol2
end if
end subroutine EHFinder_CopyCircumference
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