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! $Header$
#include "cctk.h"
subroutine dissipation_2_1 (var, ni, nj, nk, bb, gsize, delta, epsdis, rhs)
implicit none
integer :: ni, nj, nk
CCTK_REAL, dimension(ni,nj,nk), intent(in) :: var
CCTK_REAL, dimension(ni,nj,nk), intent(inout) :: rhs
CCTK_INT, dimension(6), intent(in) :: bb
CCTK_INT, dimension(3), intent(in) :: gsize
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsdis
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
integer :: i, j, k
CCTK_REAL, dimension(3,2) :: a
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr
call set_coeff ( a )
idel = epsdis / 4
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
rhs(1,:,:) = rhs(1,:,:) + &
( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) ) * idel
rhs(2,:,:) = rhs(2,:,:) + &
( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
a(3,2) * var(3,:,:) ) * idel
il = 3
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
rhs(ni-1,:,:) = rhs(ni-1,:,:) + &
( a(1,2) * var(ni,:,:) + a(2,2) * var(ni-1,:,:) + &
a(3,2) * var(ni-2,:,:) ) * idel
rhs(ni,:,:) = rhs(ni,:,:) + &
( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) ) * idel
ir = ni - 2
end if
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -2.0_wp * var(il:ir,:,:) + &
( var(il-1:ir-1,:,:) + &
var(il+1:ir+1,:,:) ) ) * idel
call set_coeff ( a )
idel = epsdis / 4
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
rhs(:,1,:) = rhs(:,1,:) + &
( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) ) * idel
rhs(:,2,:) = rhs(:,2,:) + &
( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
a(3,2) * var(:,3,:) ) * idel
jl = 3
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
rhs(:,nj-1,:) = rhs(:,nj-1,:) + &
( a(1,2) * var(:,nj,:) + a(2,2) * var(:,nj-1,:) + &
a(3,2) * var(:,nj-2,:) ) * idel
rhs(:,nj,:) = rhs(:,nj,:) + &
( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) ) * idel
jr = nj - 2
end if
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -2.0_wp * var(:,jl:jr,:) + &
( var(:,jl-1:jr-1,:) + &
var(:,jl+1:jr+1,:) ) ) * idel
call set_coeff ( a )
idel = epsdis / 4
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
rhs(:,:,1) = rhs(:,:,1) + &
( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) ) * idel
rhs(:,:,2) = rhs(:,:,2) + &
( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
a(3,2) * var(:,:,3) ) * idel
kl = 3
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
rhs(:,:,nk-1) = rhs(:,:,nk-1) + &
( a(1,2) * var(:,:,nk) + a(2,2) * var(:,:,nk-1) + &
a(3,2) * var(:,:,nk-2) ) * idel
rhs(:,:,nk) = rhs(:,:,nk) + &
( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) ) * idel
kr = nk - 2
end if
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -2.0_wp * var(:,:,kl:kr) + &
( var(:,:,kl-1:kr-1) + &
var(:,:,kl+1:kr+1) ) ) * idel
contains
subroutine set_coeff ( a )
implicit none
CCTK_REAL, dimension(3,2), intent(OUT) :: a
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
a(1,1) = -2.0_wp
a(2,1) = 2.0_wp
a(3,1) = 0.0_wp
a(1,2) = 1.0_wp
a(2,2) = -2.0_wp
a(3,2) = 1.0_wp
end subroutine set_coeff
end subroutine dissipation_2_1
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