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|
/*@@
@file WaveToy.F77
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
c Using Cactus infrastructure
#include "cctk.h"
c Using Cactus parameters
#include "cctk_parameters.h"
c Using Cactus arguments lists
#include "cctk_arguments.h"
/*@@
@routine WaveToyF77_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, wavetoy_boundaries
@calledby
@history
@endhistory
@@*/
subroutine WaveToyF77_Evolution(CCTK_FARGUMENTS)
implicit none
c Declare variables in argument list
DECLARE_CCTK_FARGUMENTS
INTEGER i,j,k
INTEGER istart, jstart, kstart, iend, jend, kend
CCTK_REAL dx,dy,dz,dt
c Set up shorthands
c -----------------
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
c Do the evolution
c ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi_next(i,j,k) =
& 2.0*(1.0 - (dt**2)*(1.0/dx**2 +
& 1.0/dy**2 +1.0/dz**2))*phi(i,j,k) -
& phi_old(i,j,k) + (dt**2) *
& ((phi(i+1,j,k)+phi(i-1,j,k))/dx**2
& +(phi(i,j+1,k)+phi(i,j-1,k))/dy**2
& +(phi(i,j,k+1)+phi(i,j,k-1))/dz**2)
end do
end do
end do
c Synchronize
c -----------
call CCTK_SyncGroup(cctkGH,"wavetoyf77::scalartmps")
c Apply boundary conditions
c -------------------------
call WaveToyF77_Boundaries(CCTK_PASS_FTOF)
c Update timeslices
c -----------------
do k = 1, cctk_lsh(3)
do j = 1, cctk_lsh(2)
do i = 1, cctk_lsh(1)
phi_old(i,j,k) = phi(i,j,k)
phi(i,j,k) = phi_next(i,j,k)
end do
end do
end do
return
end
/*@@
@routine WaveToyF77_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@calls ApplySymmetry,ApplyFlatBC,ApplyRadiativeBC
@history
@endhistory
@@*/
subroutine WaveToyF77_Boundaries(CCTK_FARGUMENTS)
implicit none
c Declare arguement list
DECLARE_CCTK_FARGUMENTS
c Declare parameters
DECLARE_CCTK_PARAMETERS
c Local declarations
CCTK_REAL zero
integer ierr
integer sw(3)
c Cactus declarations
integer CCTK_Equals
zero = 0.0
c Set the stencil width
c ---------------------
sw(1)=1
sw(2)=1
sw(3)=1
c Apply the symmetry boundary conditions on any coordinate axes
c -------------------------------------------------------------
call ApplySymmetry(cctkGH,"wavetoyf77::scalartmps")
c Apply the outer boundary conditions
c -----------------------------------
if (CCTK_EQUALS(bound,"flat")) then
call ApplyFlatBC(ierr,cctkGH,sw,"wavetoyf77::phi_next")
else if (CCTK_EQUALS(bound,"zero")) then
call ApplyConstantBC(ierr,cctkGH,zero,sw,"wavetoyf77::phi_next")
else if (CCTK_Equals(bound,"radiation").eq.1) then
call ApplyRadiativeBC(ierr,cctkGH,zero,zero,sw,"wavetoyf77::phi_next",
& "wavetoy::phi")
end if
if (ierr < 0) then
call CCTK_WARN(0,"Boundary conditions not applied - giving up!");
end if
return
end
|
