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/*@@
@file WaveToy.F90
@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 WaveToyFreeF90_Evolution
@date
@author Tom Goodale
@desc
Evolution for the wave equation
@enddesc
@calls CCTK_SyncGroup, wavetoy_boundaries
@calledby
@history
@endhistory
@@*/
subroutine WaveToyFreeF90_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) - &
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
end subroutine WaveToyFreeF90_Evolution
/*@@
@routine WaveToyFortran_Boundaries
@date
@author Tom Goodale
@desc
Boundary conditions for the wave equation
@enddesc
@calls CartSymGH,FlatBC,RadiativeBC
@calledby
@history
@endhistory
@@*/
subroutine WaveToyFreeF90_Boundaries(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
integer :: ierr
integer, dimension(3):: sw(3)=1
CCTK_REAL, parameter :: zero = 0.0
CCTK_REAL, parameter :: one = 1.0
CCTK_REAL :: finf
integer :: npow
finf = 1.0d0
npow = 1
! Apply the symmetry boundary conditions on any coordinate axes
! -------------------------------------------------------------
call CartSymGN(ierr,cctkGH,"wavetoy::scalarevolve")
! Apply the outer boundary conditions
! -----------------------------------
! Note: In each of the following calls to Boundary_SelectVarForBC,
! default arguments are used, so an invalid table handle of -1 can
! be passed
if (CCTK_EQUALS(bound,"flat")) then
call Boundary_SelectVarForBC(ierr, cctkGH, CCTK_ALL_FACES, -1, &
"wavetoy::phi", "Flat");
else if (CCTK_EQUALS(bound,"static")) then
call Boundary_SelectVarForBC(ierr, cctkGH, CCTK_ALL_FACES, -1, &
"wavetoy::phi", "Static");
else if (CCTK_EQUALS(bound,"radiation")) then
call Boundary_SelectVarForBC(ierr, cctkGH, CCTK_ALL_FACES, -1, &
"wavetoy::phi", "Radiative");
else if (CCTK_EQUALS(bound,"robin")) then
call Boundary_SelectVarForBC(ierr, cctkGH, CCTK_ALL_FACES, -1, &
"wavetoy::phi", "Robin");
else if (CCTK_EQUALS(bound,"zero")) then
call Boundary_SelectVarForBC(ierr, cctkGH, CCTK_ALL_FACES, -1, &
"wavetoy::phi", "Scalar");
else if (CCTK_EQUALS(bound,"none")) then
call Boundary_SelectVarForBC(ierr, 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,"WaveToyFreeF90_Boundaries: Boundary conditions not applied")
end if
end subroutine WaveToyFreeF90_Boundaries
|
