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/*@@
@file sor.F
@date Thu Mar 13 07:46:55 1997
@author Joan Masso + Paul Walker
@desc
The SOR solver
@enddesc
@@*/
#include "cctk.h"
#include "cctk_arguments.h"
#include "cctk_parameters.h"
/*@@
@routine sor
@date Thu Apr 24 13:29:52 1997
@author Joan Masso
@desc
This is a standalone sor solver which does all the MPI itself.
It is a pretty good example of doing pugh-based communications
in FORTRAN.
@enddesc
@@*/
subroutine sor_flat_core3d(_CCTK_FARGUMENTS,
$ Mlinear_lsh,Mlinear,
$ Nsource_lsh,Nsource,
$ var,var_idx,
$ abstol,reltol)
implicit none
_DECLARE_CCTK_FARGUMENTS
DECLARE_CCTK_PARAMETERS
INTEGER CCTK_Equals
INTEGER Mlinear_lsh(3)
CCTK_REAL Mlinear(Mlinear_lsh(1),Mlinear_lsh(2),Mlinear_lsh(3))
INTEGER Nsource_lsh(3)
CCTK_REAL Nsource(Nsource_lsh(1),Nsource_lsh(2),Nsource_lsh(3))
CCTK_REAL var(cctk_lsh(1),cctk_lsh(2),cctk_lsh(3))
INTEGER var_idx
CCTK_REAL abstol(3),reltol(3)
CCTK_REAL tol
INTEGER toltype
CCTK_REAL dx,dy,dz
c Temporaries
INTEGER sor_iteration
CCTK_REAL tmp
c Numbers...
CCTK_REAL two, four
c Total residual
CCTK_REAL resnorm, residual
c Stencil
CCTK_REAL a(-1:1,-1:1,-1:1)
c Loopers
INTEGER i,j,k
c Acceleration factor
CCTK_REAL omega, rjacobian
c conformal test
logical conformal
logical octant
c Loop bounds. Starts, Ends, and deltas (steps)
INTEGER is, js, ks, ie, je, ke, di, dj, dk, kstep
c Coeeficients for the solver: 19 point stencil...
CCTK_REAL ac,ac_orig,aw,ae,an,as,at,ab
CCTK_REAL ane,anw,ase,asw,ate,atw
CCTK_REAL abe,abw,atn,ats,abn,asb
CCTK_REAL finf
CCTK_INT npow
logical cheb, const, none, verb
integer Mlinear_storage,Nsource_storage
INTEGER sum_handle,ierr
c stencil size
INTEGER sw(3)
tol = AbsTol(1)
c Get the reduction handel for the sum operation
call CCTK_ReductionArrayHandle(sum_handle,"sum");
if (sum_handle.lt.0) then
call CCTK_WARN(1,"Cannot get reduction handle.")
endif
c Set boundary related variables
if (CCTK_EQUALS(sor_bound,"robin")) then
sw(1)=1
sw(2)=1
sw(3)=1
call Ell_GetRealKey(ierr, finf, "EllLinFlat::Bnd::Robin::inf")
call Ell_GetIntKey (ierr, npow, "EllLinFlat::Bnd::Robin::falloff")
end if
c We have no storage for M/N if they are of size one in each direction
if ((Mlinear_lsh(1).eq.1).and.(Mlinear_lsh(2).eq.1).and.(Mlinear_lsh(3).eq.1)) then
Mlinear_storage=0
else
Mlinear_storage=1
endif
if ((Nsource_lsh(1).eq.1).and.(Nsource_lsh(2).eq.1).and.(Nsource_lsh(3).eq.1)) then
Nsource_storage=0
else
Nsource_storage=1
endif
c Set up shorthand for the grid spacings
dx=cctk_delta_space(1)
dy=cctk_delta_space(2)
dz=cctk_delta_space(3)
verb = CCTK_Equals(elliptic_verbose,"yes").eq.1
octant = CCTK_Equals(domain,"octant").eq.1
c cheb = contains("sor_accel","cheb").ne.0
c const = contains("sor_accel","const").ne.0
c none = contains("sor_accel","none").ne.0
verb = .true.
cheb = .false.
none = .false.
const = .false.
if (verb .and. cheb)
$ print *,"Chebyshev Acceleration with radius of 1"
if (verb .and. const)
$ print *,"SOR with omega = 1.8"
if (verb .and. none)
$ print *,"Un-accelearted relaxation (omega = 1)"
two = 2.0D0
four = 4.0D0
resnorm = 0
ae = 1.0d0/dx**2.
aw = 1.0d0/dx**2.
an = 1.0d0/dy**2.
as = 1.0d0/dy**2.
at = 1.0d0/dz**2.
ab = 1.0d0/dz**2.
ac_orig = -2.0d0/dx**2. - 2.0d0/dy**2. - 2.0d0/dz**2.
do sor_iteration=1,maxit
c We do not know the spectral radius of the Jacobi iteration,
c so we will take it to be one which empirically seems to be pretty good
rjacobian = 1.0D0
c Set up the omega factor
omega = 1.0D0
if (cheb) then
do i=2,sor_iteration
omega = 1.0D0/(1.0D0 - .25D0*rjacobian**2*omega)
enddo
endif
if (const) then
omega = 1.8
endif
c Total norm of the residual zero
resnorm = 0.
c Start loop with Red Black
ks = mod(sor_iteration,2)+2
if (cctk_lsh(3) .eq. 3) then
ks = 2
endif
kstep = 2
do k=ks,cctk_lsh(3)-1,kstep
do j=2,cctk_lsh(2)-1
do i=2,cctk_lsh(1)-1
ac = ac_orig
if (Mlinear_storage.eq.1) then
ac = ac - Mlinear(i,j,k)
endif
residual = ac*var(i,j,k)
& + ae*var(i+1,j,k) + aw*var(i-1,j,k)
& + an*var(i,j+1,k) + as*var(i,j-1,k)
& + at*var(i,j,k+1) + ab*var(i,j,k-1)
if (Nsource_storage.eq.1) then
residual = residual - Nsource(i,j,k)
endif
c Accumulate to the total Norm of the residual
resnorm = resnorm + abs(residual)
c Update
var(i,j,k) = var(i,j,k) - omega*residual/ac
end do
end do
end do
c Reduce the norm
call CCTK_ReduceLocalScalar(ierr, cctkGH, -1, sum_handle,
$ resnorm, residual, CCTK_VARIABLE_REAL)
if (ierr.ne.0) then
call CCTK_WARN(1,"Reduction of norm failed!");
endif
residual = residual / (cctk_gsh(1)*cctk_gsh(2)*cctk_gsh(3))
c write (*,*) "Iteration/Norm",sor_iteration,residual
c Synchronize the variables
call CCTK_SyncGroupWithVarI(cctkGH, var_idx)
if (residual .lt. tol) then
goto 123
endif
c Apply boundary conditions
c call Ell_GetStringKey(nchar, mybound,"EllLinFlat::Bnd")
if (CCTK_EQUALS(sor_bound,"robin")) then
call RobinBCVarI(ierr, cctkGH, finf, npow, sw, var_idx);
if (ierr.ne.0) then
call CCTK_WARN(1,"Could not apply Robin BC !")
endif
endif
c Apply octant Symmetries
call CartSymBCVarI(ierr, cctkGH, var_idx)
enddo
write (*,*) "!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
write (*,*) "!! WARNING: SOR SOLVER DID NOT CONVERGE !!"
write (*,*) "!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
123 continue
if (verb) write (*,*) "Iteration/Norm",sor_iteration,residual
return
end
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