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/*@@
@file WaveToyF90.F
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
! Using Cactus infrastructure
#include "cctk.h"
! Using Cactus parameters
#include "cctk_Parameters.h"
! Using Cactus arguments lists
#include "cctk_Arguments.h"
/*@@
@routine WaveToyF90_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, wavetoy_boundaries
@calledby
@history
@endhistory
@@*/
subroutine WaveToyf90_Evolution(CCTK_FARGUMENTS)
implicit none
DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
! Declare local variables
INTEGER :: i,j,k
INTEGER :: istart, jstart, kstart, iend, jend, kend
CCTK_REAL :: dx,dy,dz,dt
! Set up shorthands
! -----------------
dx = CCTK_DELTA_SPACE(1)
dy = CCTK_DELTA_SPACE(2)
dz = CCTK_DELTA_SPACE(3)
dt = CCTK_DELTA_TIME
istart = 2
jstart = 2
kstart = 2
iend = cctk_lsh(1)-1
jend = cctk_lsh(2)-1
kend = cctk_lsh(3)-1
! Do the evolution
! ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi_tmp(i,j,k) =
1 2.0*(1.0 - (dt**2)*(1.0/dx**2 +
2 1.0/dy**2 +1.0/dz**2))*phi(i,j,k) -
3 phi_old(i,j,k) + (dt**2) *
5 ((phi(i+1,j,k)+phi(i-1,j,k))/dx**2
6 +(phi(i,j+1,k)+phi(i,j-1,k))/dy**2
7 +(phi(i,j,k+1)+phi(i,j,k-1))/dz**2)
end do
end do
end do
! Synchronize
! -----------
call CCTK_SyncGroup(cctkGH,"wavetoyf90::temps")
! Apply boundary conditions
! -------------------------
call WaveToyF90_Boundaries(CCTK_PASS_FTOF)
! Update timeslices
! -----------------
phi_old = phi
phi = phi_tmp
end subroutine WaveToyF90_Evolution
/*@@
@routine WaveToyF90_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@calls FlatBCVar,RadiativeBCVar
@calledby
@history
@endhistory
@@*/
subroutine WaveToyF90_Boundaries(CCTK_FARGUMENTS)
implicit none
DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
integer :: ierr
integer,dimension(3):: sw=1
CCTK_REAL,parameter :: zero = 0.0
CCTK_REAL,parameter :: one = 1.0
call CartSymBCGroup(ierr,cctkGH,"wavetoyf90::temps")
if (CCTK_EQUALS(bound,"flat")) then
call FlatBCVar(ierr,cctkGH,sw,"wavetoyf90::phi_tmp")
else if (CCTK_EQUALS(bound,"radiation")) then
call RadiativeBCVar(ierr,cctkGH,zero,one,sw,
& "wavetoyf90::phi_tmp","wavetoy::phi")
end if
if (ierr < 0) then
call CCTK_WARN(0,"Boundary conditions not applied - giving up!")
end if
end subroutine WaveToyF90_Boundaries
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