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+! $Header$
+
+#include "cctk.h"
+#include "cctk_Parameters.h"
+
+subroutine dissipation_2_1_alt (var, ni, nj, nk, bb, gsize, delta, epsilon, rhs)
+
+ implicit none
+
+ DECLARE_CCTK_PARAMETERS
+
+ 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) :: epsilon
+
+ CCTK_REAL :: zero = 0.0
+ integer, parameter :: wp = kind(zero)
+ integer :: i, j, k
+ CCTK_REAL, dimension(4,2) :: a
+ CCTK_REAL :: idel
+
+ CCTK_INT :: il, ir, jl, jr, kl, kr
+
+ call set_coeff ( a )
+
+ idel = epsilon / ( 16 * delta(1) )
+
+ if ( bb(1) == 0 ) then
+ il = 1 + gsize(1)
+ else
+ rhs(1,:,:) = rhs(1,:,:) + &
+ ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) + &
+ a(3,1) * var(3,:,:) ) * idel
+ rhs(2,:,:) = rhs(2,:,:) + &
+ ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + &
+ a(3,2) * var(3,:,:) + a(4,2) * var(4,:,:) ) * 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,:,:) + a(4,2) * var(ni-3,:,:) ) * idel
+ rhs(ni,:,:) = rhs(ni,:,:) + &
+ ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + &
+ a(3,1) * var(ni-2,:,:) ) * idel
+
+ ir = ni - 2
+ end if
+ rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
+ ( -6.0_wp * var(il:ir,:,:) + &
+ 4.0_wp * ( var(il-1:ir-1,:,:) + &
+ var(il+1:ir+1,:,:) ) - &
+ ( var(il-2:ir-2,:,:) + &
+ var(il+2:ir+2,:,:) ) ) * idel
+
+ call set_coeff ( a )
+
+ idel = epsilon / ( 16 * delta(2) )
+
+ if ( bb(3) == 0 ) then
+ jl = 1 + gsize(2)
+ else
+ rhs(:,1,:) = rhs(:,1,:) + &
+ ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) + &
+ a(3,1) * var(:,3,:) ) * idel
+ rhs(:,2,:) = rhs(:,2,:) + &
+ ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + &
+ a(3,2) * var(:,3,:) + a(4,2) * var(:,4,:) ) * 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,:) + a(4,2) * var(:,nj-3,:) ) * idel
+ rhs(:,nj,:) = rhs(:,nj,:) + &
+ ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + &
+ a(3,1) * var(:,nj-2,:) ) * idel
+
+ jr = nj - 2
+ end if
+ rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
+ ( -6.0_wp * var(:,jl:jr,:) + &
+ 4.0_wp * ( var(:,jl-1:jr-1,:) + &
+ var(:,jl+1:jr+1,:) ) - &
+ ( var(:,jl-2:jr-2,:) + &
+ var(:,jl+2:jr+2,:) ) ) * idel
+
+ call set_coeff ( a )
+
+ idel = epsilon / ( 16 * delta(3) )
+
+ if ( bb(5) == 0 ) then
+ kl = 1 + gsize(3)
+ else
+ rhs(:,:,1) = rhs(:,:,1) + &
+ ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) + &
+ a(3,1) * var(:,:,3) ) * idel
+ rhs(:,:,2) = rhs(:,:,2) + &
+ ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + &
+ a(3,2) * var(:,:,3) + a(4,2) * var(:,:,4) ) * 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) + a(4,2) * var(:,:,nk-3) ) * idel
+ rhs(:,:,nk) = rhs(:,:,nk) + &
+ ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + &
+ a(3,1) * var(:,:,nk-2) ) * idel
+
+ kr = nk - 2
+ end if
+ rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
+ ( -6.0_wp * var(:,:,kl:kr) + &
+ 4.0_wp * ( var(:,:,kl-1:kr-1) + &
+ var(:,:,kl+1:kr+1) ) - &
+ ( var(:,:,kl-2:kr-2) + &
+ var(:,:,kl+2:kr+2) ) ) * idel
+
+contains
+
+ subroutine set_coeff ( a )
+
+ implicit none
+
+ CCTK_REAL, dimension(4,2), intent(OUT) :: a
+ CCTK_REAL :: zero = 0.0
+ integer, parameter :: wp = kind(zero)
+
+ a(1,1) = -2.0_wp
+ a(2,1) = 4.0_wp
+ a(3,1) = -2.0_wp
+ a(4,1) = 0.0_wp
+ a(1,2) = 2.0_wp
+ a(2,2) = -5.0_wp
+ a(3,2) = 4.0_wp
+ a(4,2) = -1.0_wp
+
+ end subroutine set_coeff
+
+end subroutine dissipation_2_1_alt