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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_Arguments.h"
#include "cctk_Functions.h"
#include "cctk_Parameters.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(3), iend(3)
INTEGER d
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
do d = 1, 3
if (cctk_bbox(2*d-1).eq.0) then
istart(d) = 1+cctk_nghostzones(d)
else
istart(d) = 1+bound_width
end if
if (cctk_bbox(2*d).eq.0) then
iend(d) = cctk_lsh(d)-cctk_nghostzones(d)
else
iend(d) = cctk_lsh(d)-bound_width
end if
end do
c Do the evolution
c ----------------
do k = istart(3), iend(3)
do j = istart(2), iend(2)
do i = istart(1), iend(1)
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_PARAMETERS
DECLARE_CCTK_FUNCTIONS
c Local declarations
integer table
data table /-1/
character fbound*100
CCTK_INT fboundlen
integer i,j,k
CCTK_REAL spher3d_r
integer ierr
CCTK_REAL ri3
c call CCTK_INFO ("FOWaveToyF77_Boundaries")
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)
spher3d_r = sqrt(x(i,j,k)**2 + y(i,j,k)**2 + z(i,j,k)**2)
if (spher3d_r .le. excision_radius) then
pi(i,j,k) = 0.0
phi(i,j,k) = 1.0 / spher3d_r
ri3 = phi(i,j,k)**3
phix(i,j,k) = - x(i,j,k) * ri3
phiy(i,j,k) = - y(i,j,k) * ri3
phiz(i,j,k) = - 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 symmetry boundary conditions on any coordinate axes
c -------------------------------------------------------------
call CartSymGN(ierr,cctkGH,"fowavetoy::scalarevolve")
if (ierr.ne.0) call CCTK_WARN (0, "internal error")
call CartSymGN(ierr,cctkGH,"fowavetoy::scalarevolve_derivs")
if (ierr.ne.0) call CCTK_WARN (0, "internal error")
c Apply the outer boundary conditions
c -----------------------------------
if (table.eq.-1) then
call Util_TableCreateFromString (table, "LIMIT=0.0 SPEED=1.0")
if (table.lt.0) call CCTK_WARN (0, "internal error")
end if
call CCTK_FortranString (fboundlen, bound, fbound)
if (fboundlen.lt.0) call CCTK_WARN (0, "internal error")
ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bound_width,
$ table, "fowavetoy::scalarevolve", fbound)
if (ierr.ne.0) call CCTK_WARN (0, "internal error")
ierr = Boundary_SelectGroupForBC (cctkGH, CCTK_ALL_FACES, bound_width,
$ table, "fowavetoy::scalarevolve_derivs", fbound)
if (ierr.ne.0) call CCTK_WARN (0, "internal error")
end
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