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/*@@
@file WaveToyF90.F
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
/*@@
@routine WaveToyF90_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyf90_Evolution(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
! Declare local variables
INTEGER i,j,k
INTEGER istart, jstart, kstart, iend, jend, kend
CCTK_REAL dx,dy,dz,dt
CCTK_REAL dx2,dy2,dz2,dt2
CCTK_REAL dx2i,dy2i,dz2i
CCTK_REAL factor
! Set up shorthands
! -----------------
dx = CCTK_DELTA_SPACE(1)
dy = CCTK_DELTA_SPACE(2)
dz = CCTK_DELTA_SPACE(3)
dt = CCTK_DELTA_TIME
dx2 = dx*dx
dy2 = dy*dy
dz2 = dz*dz
dt2 = dt*dt
dx2i = 1.0/dx2
dy2i = 1.0/dy2
dz2i = 1.0/dz2
istart = 2
jstart = 2
kstart = 2
iend = cctk_lsh(1)-1
jend = cctk_lsh(2)-1
kend = cctk_lsh(3)-1
factor = 2*(1 - (dt2)*(dx2i + dy2i + dz2i))
! Do the evolution
! ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi(i,j,k) = factor*phi_p(i,j,k) -
1 phi_p_p(i,j,k) + (dt2) *
2 ((phi_p(i+1,j,k)+phi_p(i-1,j,k))*dx2i
3 +(phi_p(i,j+1,k)+phi_p(i,j-1,k))*dy2i
4 +(phi_p(i,j,k+1)+phi_p(i,j,k-1))*dz2i)
end do
end do
end do
end subroutine WaveToyF90_Evolution
/*@@
@routine WaveToyF90_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyF90_Boundaries(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
integer i
integer :: ierr=-1
integer,dimension(3):: sw=1
CCTK_REAL,parameter :: sval = 0.0
CCTK_REAL,parameter :: rzero = 0.0
CCTK_REAL,parameter :: rone = 1.0
integer,parameter :: swdir = 1
integer,parameter :: ione = 1,mione=-1
integer,parameter :: itwo = 2,mitwo=-2
integer,parameter :: ithree = 3,mithree=-3
integer,parameter :: ifour = 4,izero = 0
CCTK_REAL finf
integer npow
finf = 1.0d0
npow = 1
call CartSymGN(ierr,cctkGH,"wavetoy::scalarevolve")
if (CCTK_EQUALS(bound,"flat")) then
call BndFlatVN(ierr,cctkGH,sw,"wavetoy::phi")
else if (CCTK_EQUALS(bound,"static")) then
call BndStaticVN(ierr,cctkGH,sw,"wavetoy::phi")
else if (CCTK_EQUALS(bound,"radiation")) then
call BndRadiativeVN(ierr,cctkGH,sw,rzero,rone,"wavetoy::phi",
& "wavetoy::phi")
else if (CCTK_EQUALS(bound,"robin")) then
call BndRobinVN(ierr,cctkGH, sw, finf, npow,"wavetoy::phi")
else if (CCTK_EQUALS(bound,"zero")) then
call BndScalarDirVN(ierr,cctkGH,swdir,mione ,sval,"wavetoy::phi")
call BndScalarDirVN(ierr,cctkGH,swdir,ione ,sval,"wavetoy::phi")
call BndScalarDirVN(ierr,cctkGH,swdir,mitwo ,sval,"wavetoy::phi")
call BndScalarDirVN(ierr,cctkGH,swdir,itwo ,sval,"wavetoy::phi")
call BndScalarDirVN(ierr,cctkGH,swdir,mithree,sval,"wavetoy::phi")
call BndScalarDirVN(ierr,cctkGH,swdir,ithree ,sval,"wavetoy::phi")
else if (.NOT. CCTK_EQUALS(bound,"none")) then
call CCTK_WARN(0,"Unrecognized boundary condition")
end if
if (ierr < 0) then
call CCTK_WARN(0,"WaveToyF90_Boundaries: Error in boundary routines")
end if
end subroutine WaveToyF90_Boundaries
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