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/*@@
@file WaveToy.F77
@date
@author Tom Goodale
@desc
Evolution routines for the wave equation solver
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Faces.h"
#include "cctk_Parameters.h"
#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_ARGUMENTS)
implicit none
c Declare variables in argument list
DECLARE_CCTK_ARGUMENTS
INTEGER i,j,k,ierr
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
c Set up shorthands
c -----------------
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))
c Do the evolution
c ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
phi(i,j,k) = factor*phi_p(i,j,k) -
& phi_p_p(i,j,k) + (dt2) *
& ((phi_p(i+1,j,k)+phi_p(i-1,j,k))*dx2i
& +(phi_p(i,j+1,k)+phi_p(i,j-1,k))*dy2i
& +(phi_p(i,j,k+1)+phi_p(i,j,k-1))*dz2i)
end do
end do
end do
return
end
/*@@
@routine WaveToyF77_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine WaveToyF77_Boundaries(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
CCTK_INT Boundary_SelectVarForBC
c Local declarations
CCTK_REAL zero,one
CCTK_REAL finf
integer npow
integer ierr
integer sw(3)
ierr = -1
zero = 0.0
one = 1.0
npow = 1
finf = 1.0d0
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 CartSymGN(ierr,cctkGH,"wavetoy::scalarevolve")
c Apply the outer boundary conditions
c -----------------------------------
c Note: In each of the following calls to Boundary_SelectVarForBC,
c default arguments are used, so an invalid table handle of -1 can
c be passed
if (CCTK_EQUALS(bound,"flat")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "Flat");
else if (CCTK_EQUALS(bound,"static")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "Static");
else if (CCTK_EQUALS(bound,"radiation")) then
print *, "selecting for rediation cond"
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "Radiation");
else if (CCTK_EQUALS(bound,"robin")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "Robin");
else if (CCTK_EQUALS(bound,"zero")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "Scalar");
else if (CCTK_EQUALS(bound,"none")) then
ierr = Boundary_SelectVarForBC(cctkGH, CCTK_ALL_FACES, -1,
$ "wavetoy::phi", "None");
else
call CCTK_WARN(0,"Unrecognized boundary condition")
end if
if (ierr < 0) then
call CCTK_WARN(0,"Boundary conditions not applied - giving up!")
end if
return
end
|
