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cc/*@@
c @file ADMConstraints.F
c @date Aug 98
c @desc
c Calculate the ADM Constraints for output:
c
c Hamiltonian Constraint is:
c
c R - K^i_j K^j_i + trK^2 - 16 Pi rho
c
c Momentum Constraints are:
c
c Del_j K_i^j - Del_i trK - 8 Pi j_i
c
c @enddesc
c@@*/
c --------------------------------------------------------------
c CCTK Header files
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "CactusEinstein/Einstein/src/Einstein.h"
c --------------------------------------------------------------
c/*@@
c @routine ADMConstraints
c @date Aug 98
c @desc
c Calculate the ADM Constraints
c @enddesc
c @calls
c @calledby
c @history
c
c @endhistory
c@@*/
subroutine ADMConstraints(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
integer :: i,j,k,i1,i2,j1,j2,k1,k2
c Stencil width used for calculating constraints (for outer boundary condition)
integer, dimension(3),parameter :: sw = 1
c Return code from Cactus boundary conditions
integer ierr
CCTK_REAL :: dx,dy,dz
CCTK_REAL :: pi,det,uxx,uxy,uxz,uyy,uyz,uzz
c Temporaries for the Stress-Energy tensor
CCTK_REAL :: Ttt,Ttx,Tty,Ttz,Txx,Txy,Txz,Tyy,Tyz,Tzz
#include "CalcTmunu_temps.inc"
c Macros from Standard Einstein
#include "CactusEinstein/Einstein/src/macro/HAMADM_declare.h"
#include "CactusEinstein/Einstein/src/macro/MOMXADM_declare.h"
#include "CactusEinstein/Einstein/src/macro/MOMYADM_declare.h"
#include "CactusEinstein/Einstein/src/macro/MOMZADM_declare.h"
#include "CactusEinstein/Einstein/src/macro/DETG_declare.h"
#include "CactusEinstein/Einstein/src/macro/UPPERMET_declare.h"
dx = cctk_delta_space(1)
dy = cctk_delta_space(2)
dz = cctk_delta_space(3)
i1 = 2
i2 = cctk_lsh(1)-1
j1 = 2
j2 = cctk_lsh(2)-1
k1 = 2
k2 = cctk_lsh(3)-1
do i=i1,i2
do j=j1,j2
do k=k1,k2
ham(i,j,k) = 0.0D0
momx(i,j,k) = 0.0D0
momy(i,j,k) = 0.0D0
momz(i,j,k) = 0.0D0
end do
end do
end do
Pi = ACOS(-1D0)
do k = k1, k2
do j = j1, j2
do i = i1, i2
c Calculate the stress energy tensor at this point
c ------------------------------------------------
Ttt = 0.0D0; Ttx = 0.0D0; Tty = 0.0D0; Ttz = 0.0D0
Txx = 0.0D0; Txy = 0.0D0; Txz = 0.0D0; Tyy = 0.0D0
Tyz = 0.0D0; Tzz = 0.0D0
c This may be needed for CalcTmunu etc
#include "CactusEinstein/Einstein/src/macro/DETG_guts.h"
det = DETG_DETCG
#include "CactusEinstein/Einstein/src/macro/UPPERMET_guts.h"
uxx = UPPERMET_UXX; uxy = UPPERMET_UXY; uxz = UPPERMET_UXZ
uyy = UPPERMET_UYY; uyz = UPPERMET_UYZ; uzz = UPPERMET_UZZ
#include "CalcTmunu.inc"
c Calculate the hamiltonian constraint
c ------------------------------------
#include "CactusEinstein/Einstein/src/macro/HAMADM_guts.h"
ham(i,j,k) = HAMADM_HAMADM - 16D0*Pi*Ttt/alp(i,j,k)**2
#ifdef THORN_MAHC
if ((some_hydro .eq. MAHCHYDRO).or.
. (some_hydro .eq. MAHCHYDRODUST)) then
ham(i,j,k) = ADM_ham(i,j,k) - 16.0d0 * pi *
. ( (rho(i,j,k) + rho(i,j,k)*eps(i,j,k) + press(i,j,k)) *
. w_lorentz(i,j,k)**2 - press(i,j,k))
endif
#endif
c Calculate the Momentum constraints
c ----------------------------------
#include "CactusEinstein/Einstein/src/macro/MOMXADM_guts.h"
#include "CactusEinstein/Einstein/src/macro/MOMYADM_guts.h"
#include "CactusEinstein/Einstein/src/macro/MOMZADM_guts.h"
momx(i,j,k) = MOMXADM_MOMXADM - 8D0*Pi*Ttx/alp(i,j,k)**2
momy(i,j,k) = MOMYADM_MOMYADM - 8D0*Pi*Tty/alp(i,j,k)**2
momz(i,j,k) = MOMZADM_MOMZADM - 8D0*Pi*Ttz/alp(i,j,k)**2
#ifdef THORN_MAHC
if ((some_hydro .eq. MAHCHYDRO).or.
. (some_hydro .eq. MAHCHYDRODUST)) then
momx(i,j,k) = ADM_momx(i,j,k) -
. 8.0d0 * pi * sx(i,j,k) / sqrt(det)
momy(i,j,k) = ADM_momy(i,j,k) -
. 8.0d0 * pi * sy(i,j,k) / sqrt(det)
momz(i,j,k) = ADM_momz(i,j,k) -
. 8.0d0 * pi * sz(i,j,k) / sqrt(det)
endif
#endif
enddo
enddo
enddo
#include "CactusEinstein/Einstein/src/macro/DETG_undefine.h"
#include "CactusEinstein/Einstein/src/macro/HAMADM_undefine.h"
#include "CactusEinstein/Einstein/src/macro/MOMXADM_undefine.h"
#include "CactusEinstein/Einstein/src/macro/MOMYADM_undefine.h"
#include "CactusEinstein/Einstein/src/macro/MOMZADM_undefine.h"
#include "CactusEinstein/Einstein/src/macro/UPPERMET_undefine.h"
c Synchronize and apply flat boundary conditions
call CartSymBCGroup(ierr,cctkGH,"admconstraints::admconstraints")
if (CCTK_Equals(bound,"flat") == 1) then
call FlatBCGroup(ierr,cctkGH,sw,"admconstraints::admconstraints")
end if
if (constraint_communication.eq.1) then
call CCTK_SyncGroup(cctkGH,"admconstraints::admconstraints")
end if
end subroutine ADMConstraints
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