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C $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
#include "cctk_Arguments.h"
#include "cctk_Functions.h"
subroutine Exact__blended_boundary(CCTK_ARGUMENTS)
implicit none
DECLARE_CCTK_ARGUMENTS
DECLARE_CCTK_PARAMETERS
DECLARE_CCTK_FUNCTIONS
logical doKij, doGij, doLapse, doShift
integer i,j,k
integer nx,ny,nz
CCTK_REAL router, rinner, frac, onemfrac
CCTK_REAL gxxe, gyye, gzze, gxye, gyze, gxze
CCTK_REAL kxxe, kyye, kzze, kxye, kyze, kxze
CCTK_REAL dxgxxe, dxgyye, dxgzze, dxgxye, dxgyze, dxgxze
CCTK_REAL dygxxe, dygyye, dygzze, dygxye, dygyze, dygxze
CCTK_REAL dzgxxe, dzgyye, dzgzze, dzgxye, dzgyze, dzgxze
CCTK_REAL
$ exact_psi,
$ exact_psix, exact_psiy, exact_psiz,
$ exact_psixx, exact_psiyy, exact_psizz,
$ exact_psixy, exact_psiyz, exact_psixz
CCTK_REAL alpe, dtalpe, axe, aye, aze
CCTK_REAL betaxe,betaye,betaze, dtbetaxe,dtbetaye,dtbetaze
CCTK_REAL bxxe,bxye,bxze,byxe,byye,byze,bzxe,bzye,bzze
CCTK_REAL det, uxx, uxy, uxz, uyy, uyz, uzz
CCTK_REAL dx,dy,dz,time
CCTK_REAL xmx,xmn,ymx,ymn,zmx,zmn,rmx
integer ierr
C Grid parameters.
nx = cctk_lsh(1)
ny = cctk_lsh(2)
nz = cctk_lsh(3)
dx = cctk_delta_space(1)
dy = cctk_delta_space(2)
dz = cctk_delta_space(3)
time = cctk_time
C Other parameters.
doKij = (exblend_Ks.eq.1)
doGij = (exblend_gs.eq.1)
doLapse = ((exblend_gauge.eq.1).and.
$ (CCTK_Equals(lapse_evolution_method,"exact").ne.0))
doShift = ((exblend_gauge.eq.1).and.
$ (CCTK_Equals(shift_evolution_method,"exact").ne.0))
call CCTK_CoordRange(ierr,cctkGH,xmn,xmx,-1,"x","cart3d")
call CCTK_CoordRange(ierr,cctkGH,ymn,ymx,-1,"y","cart3d")
call CCTK_CoordRange(ierr,cctkGH,zmn,zmx,-1,"z","cart3d")
rmx = min(xmx,ymx,zmx)
if (exblend_rout.lt.0) then
router = rmx - 2.0d0*dx
else
router = exblend_rout
endif
if (exblend_width.lt.0) then
rinner = router + exblend_width*dx
else
rinner = router - exblend_width
endif
do k=1,nz
do j=1,ny
do i=1,nx
c We only do anything if r >= rinner so only evaluate exact data
c there.
if (r(i,j,k) .ge. rinner) then
C Initialize the psi of exact
C (also to tell the models about the conformal_state)
if (conformal_state .ne. 0) then
exact_psi = 1.0D0
else
exact_psi = 0.0D0
end if
exact_psix = 0.0D0
exact_psiy = 0.0D0
exact_psiz = 0.0D0
exact_psixx = 0.0D0
exact_psiyy = 0.0D0
exact_psizz = 0.0D0
exact_psixy = 0.0D0
exact_psiyz = 0.0D0
exact_psixz = 0.0D0
call Exact__Bona_Masso_data(
$ decoded_exact_model,
$ x(i,j,k), y(i,j,k), z(i,j,k), time,
$ gxxe, gyye, gzze, gxye, gyze, gxze,
$ kxxe, kyye, kzze, kxye, kyze, kxze,
$ exact_psi,
$ exact_psix, exact_psiy, exact_psiz,
$ exact_psixx, exact_psiyy, exact_psizz,
$ exact_psixy, exact_psiyz, exact_psixz,
$ dxgxxe, dxgyye, dxgzze, dxgxye, dxgyze, dxgxze,
$ dygxxe, dygyye, dygzze, dygxye, dygyze, dygxze,
$ dzgxxe, dzgyye, dzgzze, dzgxye, dzgyze, dzgxze,
$ alpe, dtalpe, axe, aye, aze,
$ betaxe, betaye, betaze, dtbetaxe, dtbetaye, dtbetaze,
$ bxxe, bxye, bxze, byxe,
$ byye, byze, bzxe, bzye, bzze)
c This sucks, but we want the exact vs so we can blend them also.
det = -(gxze**2*gyye)
& + 2.d0*gxye*gxze*gyze
& - gxxe*gyze**2
& - gxye**2*gzze
& + gxxe*gyye*gzze
uxx=(-gyze**2 + gyye*gzze)/det
uxy=(gxze*gyze - gxye*gzze)/det
uyy=(-gxze**2 + gxxe*gzze)/det
uxz=(-gxze*gyye + gxye*gyze)/det
uyz=(gxye*gxze - gxxe*gyze)/det
uzz=(-gxye**2 + gxxe*gyye)/det
c Outside of router we want to place exact data on our grid
if (r(i,j,k) .gt. router) then
c This is one of those things I will invariably screw up if I type
c it in so let the computer do it
#define exassign(q) q(i,j,k) = q e
#define exassign_grp(p) \
exassign(p xx) &&\
exassign(p xy) &&\
exassign(p xz) &&\
exassign(p yy) &&\
exassign(p yz) &&\
exassign(p zz)
c Note this plays on the nasty trick that fortran doesnt give a
c damn about spaces so gxx e is the same as gxxe for the parser...
c Grody but effective!
if (doGij) then
exassign_grp(g)
endif
if (doKij) then
exassign_grp(k)
endif
if (doLapse) then
exassign(alp)
endif
if (doShift.and.(shift_state.ne.0)) then
exassign(betax)
exassign(betay)
exassign(betaz)
endif
c OK so we dont want to blend so use a goto to jump.
else
c Evaluate the linear weighting fraction. Obvious...
frac = (r(i,j,k) - rinner) / (router - rinner)
onemfrac = 1.0D0 - frac
c Once again some c-preprocessor tricks based on the whole fortran
c space thing...
#define INTPOINT(f,v) f(i,j,k) = frac * v + onemfrac * f(i,j,k)
#define intone(f) INTPOINT(f, f e)
#define int_grp(p) \
intone(p xx) &&\
intone(p xy) &&\
intone(p xz) &&\
intone(p yy) &&\
intone(p yz) &&\
intone(p zz)
if (doGij) then
int_grp(g)
endif
if (doKij) then
int_grp(k)
endif
if (doLapse) then
intone(alp)
endif
if (doShift.and.(shift_state.ne.0)) then
intone(betax)
intone(betay)
intone(betaz)
endif
endif ! r > router else
endif ! r > rinner
enddo
enddo
enddo
return
end
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