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c -*-Fortran-*-
/*@@
@file FOWaveToy.F77
@date
@author Scott Hawley, based on WaveToy by Tom Goodale, Erik Schnetter
@desc
Evolution routines for the wave equation solver
written as a first order system.
The field phi itself does not enter into the evolution,
system but we carry it along using pi = partial phi / partial t.
@enddesc
@@*/
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
/*@@
@routine FOWaveToyF77_Evolution
@date
@author Scott Hawley, using code of Tom Goodale, Erik Schnetter
@desc
Evolution for the wave equation as a 1st-order system
@enddesc
@calls CCTK_SyncGroup
@calledby
@history
@endhistory
@@*/
subroutine FOWaveToyF77_Evolution (CCTK_ARGUMENTS)
implicit none
c Declare variables in argument list
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
INTEGER i,j,k
INTEGER istart, jstart, kstart, iend, jend, kend
CCTK_REAL dx,dy,dz,dt
CCTK_REAL dxi,dyi,dzi
c call CCTK_INFO ("WaveToyF77_Evolution")
c Set up shorthands
c -----------------
dx = 2*CCTK_DELTA_SPACE(1)
dy = 2*CCTK_DELTA_SPACE(2)
dz = 2*CCTK_DELTA_SPACE(3)
dt = 2*CCTK_DELTA_TIME
dxi = 1/dx
dyi = 1/dy
dzi = 1/dz
istart = 1+cctk_nghostzones(1)
jstart = 1+cctk_nghostzones(2)
kstart = 1+cctk_nghostzones(3)
iend = cctk_lsh(1)-cctk_nghostzones(1)
jend = cctk_lsh(2)-cctk_nghostzones(2)
kend = cctk_lsh(3)-cctk_nghostzones(3)
c Do the evolution
c ----------------
do k = kstart, kend
do j = jstart, jend
do i = istart, iend
pi(i,j,k) = pi_p_p(i,j,k) + dt * (
$ (phix_p(i+1,j,k) - phix_p(i-1,j,k))*dxi
$ + (phiy_p(i,j+1,k) - phiy_p(i,j-1,k))*dyi
$ + (phiz_p(i,j,k+1) - phiz_p(i,j,k-1))*dzi
$ )
phix(i,j,k) = phix_p_p(i,j,k) + dt * dxi * (
$ pi_p(i+1,j,k) - pi_p(i-1,j,k) )
phiy(i,j,k) = phiy_p_p(i,j,k) + dt * dyi * (
$ pi_p(i,j+1,k) - pi_p(i,j-1,k) )
phiz(i,j,k) = phiz_p_p(i,j,k) + dt * dzi * (
$ pi_p(i,j,k+1) - pi_p(i,j,k-1) )
phi(i,j,k) = phi_p_p(i,j,k) + 2*dt * pi_p(i,j,i)
end do
end do
end do
end
/*@@
@routine FOWaveToyF77_Boundaries
@date
@author Scott Hawley stealing from Tom Goodale, Erik Schnetter
@desc
Boundary conditions for the wave equation
@enddesc
@history
@endhistory
@@*/
subroutine FOWaveToyF77_Boundaries (CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_FUNCTIONS
DECLARE_CCTK_PARAMETERS
c Local declarations
CCTK_REAL zero, one
parameter (zero=0, one=1)
CCTK_REAL finf
integer npow
parameter (finf = 1)
parameter (npow = 1)
integer i,j,k
integer ierr
integer sw(3)
CCTK_REAL ri3
c call CCTK_INFO ("FOWaveToyF77_Boundaries")
c Set the stencil width
c ---------------------
sw(1) = cctk_nghostzones(1)
sw(2) = cctk_nghostzones(2)
sw(3) = cctk_nghostzones(3)
c Apply the excision boundary condition
c -------------------------------------
if (CCTK_EQUALS(excision_bound, "none")) then
c do nothing
else if (CCTK_EQUALS(excision_bound, "1/r")) then
do k=1,cctk_lsh(3)
do j=1,cctk_lsh(2)
do i=1,cctk_lsh(1)
if (spher3d_r(i,j,k) .le. excision_radius) then
pi(i,j,k) = 0.0
phi(i,j,k) = 1 / spher3d_r(i,j,k)
ri3 = phi(i,j,k)**3
phix(i,j,k) = - cart3d_x(i,j,k) * ri3
phiy(i,j,k) = - cart3d_y(i,j,k) * ri3
phiz(i,j,k) = - cart3d_z(i,j,k) * ri3
end if
end do
end do
end do
else
call CCTK_WARN (0, "internal error")
end if
c Apply the outer boundary conditions
c Only "flat" and "zero" and "none" are currently supported
c -----------------------------------
if (CCTK_EQUALS(bound, "flat")) then
call BndFlatVN (ierr, cctkGH, sw, "wavetoy::pi")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phix")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phiy")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phiz")
call BndFlatVN (ierr, cctkGH, sw, "wavetoy::phi")
else if (CCTK_EQUALS(bound, "zero")) then
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::pi")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phix")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phiy")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phiz")
call BndScalarVN (ierr, cctkGH, sw, zero, "wavetoy::phi")
else if (CCTK_EQUALS(bound, "static")) then
ierr = 0
call CCTK_WARN (2, "Static boundary conditions chosen")
call BndCopyTLVN (ierr, cctkGH, sw, 1, 0, "wavetoy::phi")
call BndCopyTLVN (ierr, cctkGH, sw, 1, 0, "wavetoy::pi")
call BndCopyTLVN (ierr, cctkGH, sw, 1, 0, "wavetoy::phix")
call BndCopyTLVN (ierr, cctkGH, sw, 1, 0, "wavetoy::phiy")
call BndCopyTLVN (ierr, cctkGH, sw, 1, 0, "wavetoy::phiz")
else if (CCTK_EQUALS(bound, "radiation")) then
call BndRadiativeVN (ierr, cctkGH, sw, zero, one,
$ "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, "none")) then
ierr = 0
else
call CCTK_WARN (0, "internal error")
end if
if (ierr .lt. 0) then
call CCTK_WARN (0, "Boundary conditions not applied - giving up!")
end if
c Apply the symmetry boundary conditions on any coordinate axes
c -------------------------------------------------------------
call Cart3dSymGN (ierr, cctkGH, "wavetoy::scalarevolve")
call Cart3dSymGN (ierr, cctkGH, "wavetoy::scalarevolve_derivs")
if (ierr .lt. 0) then
call CCTK_WARN (0, "Symmetry conditions not applied - giving up!")
end if
end
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