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! $Header$
#include "cctk.h"
#include "cctk_Parameters.h"
subroutine dissipation_4_2 (var, ni, nj, nk, bb, gsize, offset, 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_INT, dimension(6), intent(in) :: offset
CCTK_REAL, dimension(3), intent(in) :: delta
CCTK_REAL, intent(in) :: epsilon
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
CCTK_REAL, dimension(6,4) :: a
CCTK_REAL :: idel
CCTK_INT :: il, ir, jl, jr, kl, kr, ol, or
call set_coeff ( a )
if ( scale_with_h > 0 ) then
idel = epsilon / ( 16 * delta(1) )
else
idel = epsilon / 16
end if
if ( bb(1) == 0 ) then
il = 1 + gsize(1)
else
ol = offset(1)
!$omp parallel workshare
rhs(1+ol,:,:) = rhs(1+ol,:,:) + &
( a(1,1) * var(1+ol,:,:) + a(2,1) * var(2+ol,:,:) + &
a(3,1) * var(3+ol,:,:) ) * idel
rhs(2+ol,:,:) = rhs(2+ol,:,:) + &
( a(1,2) * var(1+ol,:,:) + a(2,2) * var(2+ol,:,:) + &
a(3,2) * var(3+ol,:,:) + a(4,2) * var(4+ol,:,:) ) * idel
rhs(3+ol,:,:) = rhs(3+ol,:,:) + &
( a(1,3) * var(1+ol,:,:) + a(2,3) * var(2+ol,:,:) + &
a(3,3) * var(3+ol,:,:) + a(4,3) * var(4+ol,:,:) + &
a(5,3) * var(5+ol,:,:) ) * idel
rhs(4+ol,:,:) = rhs(4+ol,:,:) + &
( a(2,4) * var(2+ol,:,:) + a(3,4) * var(3+ol,:,:) + &
a(4,4) * var(4+ol,:,:) + a(5,4) * var(5+ol,:,:) + &
a(6,4) * var(6+ol,:,:) ) * idel
!$omp end parallel workshare
il = 5 + ol
end if
if ( bb(2) == 0 ) then
ir = ni - gsize(1)
else
or = ni - offset(2)
!$omp parallel workshare
rhs(or-3,:,:) = rhs(or-3,:,:) + &
( a(2,4) * var(or-1,:,:) + a(3,4) * var(or-2,:,:) + &
a(4,4) * var(or-3,:,:) + a(5,4) * var(or-4,:,:) + &
a(6,4) * var(or-5,:,:) ) * idel
rhs(or-2,:,:) = rhs(or-2,:,:) + &
( a(1,3) * var(or,:,:) + a(2,3) * var(or-1,:,:) + &
a(3,3) * var(or-2,:,:) + a(4,3) * var(or-3,:,:) + &
a(5,3) * var(or-4,:,:) ) * idel
rhs(or-1,:,:) = rhs(or-1,:,:) + &
( a(1,2) * var(or,:,:) + a(2,2) * var(or-1,:,:) + &
a(3,2) * var(or-2,:,:) + a(4,2) * var(or-3,:,:) ) * idel
rhs(or,:,:) = rhs(or,:,:) + &
( a(1,1) * var(or,:,:) + a(2,1) * var(or-1,:,:) + &
a(3,1) * var(or-2,:,:) ) * idel
!$omp end parallel workshare
ir = or - 4
end if
!$omp parallel workshare
rhs(il:ir,:,:) = rhs(il:ir,:,:) + &
( -6.0_wp * var(il:ir,:,:) + &
4.0_wp * ( var(il-1:ir-1,:,:) + &
var(il+1:ir+1,:,:) ) - &
( var(il-2:ir-2,:,:) + &
var(il+2:ir+2,:,:) ) ) * idel
!$omp end parallel workshare
if ( zero_derivs_y == 0 ) then
call set_coeff ( a )
if ( scale_with_h > 0 ) then
idel = epsilon / ( 16 * delta(2) )
else
idel = epsilon / 16
end if
if ( bb(3) == 0 ) then
jl = 1 + gsize(2)
else
ol = offset(3)
!$omp parallel workshare
rhs(:,1+ol,:) = rhs(:,1+ol,:) + &
( a(1,1) * var(:,1+ol,:) + a(2,1) * var(:,2+ol,:) + &
a(3,1) * var(:,3+ol,:) ) * idel
rhs(:,2+ol,:) = rhs(:,2+ol,:) + &
( a(1,2) * var(:,1+ol,:) + a(2,2) * var(:,2+ol,:) + &
a(3,2) * var(:,3+ol,:) + a(4,2) * var(:,4+ol,:) ) * idel
rhs(:,3+ol,:) = rhs(:,3+ol,:) + &
( a(1,3) * var(:,1+ol,:) + a(2,3) * var(:,2+ol,:) + &
a(3,3) * var(:,3+ol,:) + a(4,3) * var(:,4+ol,:) + &
a(5,3) * var(:,5+ol,:) ) * idel
rhs(:,4+ol,:) = rhs(:,4+ol,:) + &
( a(2,4) * var(:,2+ol,:) + a(3,4) * var(:,3+ol,:) + &
a(4,4) * var(:,4+ol,:) + a(5,4) * var(:,5+ol,:) + &
a(6,4) * var(:,6+ol,:) ) * idel
!$omp end parallel workshare
jl = 5 + ol
end if
if ( bb(4) == 0 ) then
jr = nj - gsize(2)
else
or = nj - offset(4)
!$omp parallel workshare
rhs(:,or-3,:) = rhs(:,or-3,:) + &
( a(2,4) * var(:,or-1,:) + a(3,4) * var(:,or-2,:) + &
a(4,4) * var(:,or-3,:) + a(5,4) * var(:,or-4,:) + &
a(6,4) * var(:,or-5,:) ) * idel
rhs(:,or-2,:) = rhs(:,or-2,:) + &
( a(1,3) * var(:,or,:) + a(2,3) * var(:,or-1,:) + &
a(3,3) * var(:,or-2,:) + a(4,3) * var(:,or-3,:) + &
a(5,3) * var(:,or-4,:) ) * idel
rhs(:,or-1,:) = rhs(:,or-1,:) + &
( a(1,2) * var(:,or,:) + a(2,2) * var(:,or-1,:) + &
a(3,2) * var(:,or-2,:) + a(4,2) * var(:,or-3,:) ) * idel
rhs(:,or,:) = rhs(:,or,:) + &
( a(1,1) * var(:,or,:) + a(2,1) * var(:,or-1,:) + &
a(3,1) * var(:,or-2,:) ) * idel
!$omp end parallel workshare
jr = or - 4
end if
!$omp parallel workshare
rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + &
( -6.0_wp * var(:,jl:jr,:) + &
4.0_wp * ( var(:,jl-1:jr-1,:) + &
var(:,jl+1:jr+1,:) ) - &
( var(:,jl-2:jr-2,:) + &
var(:,jl+2:jr+2,:) ) ) * idel
!$omp end parallel workshare
end if
if ( zero_derivs_z == 0 ) then
call set_coeff ( a )
if ( scale_with_h > 0 ) then
idel = epsilon / ( 16 * delta(3) )
else
idel = epsilon / 16
end if
if ( bb(5) == 0 ) then
kl = 1 + gsize(3)
else
ol = offset(5)
!$omp parallel workshare
rhs(:,:,1+ol) = rhs(:,:,1+ol) + &
( a(1,1) * var(:,:,1+ol) + a(2,1) * var(:,:,2+ol) + &
a(3,1) * var(:,:,3+ol) ) * idel
rhs(:,:,2+ol) = rhs(:,:,2+ol) + &
( a(1,2) * var(:,:,1+ol) + a(2,2) * var(:,:,2+ol) + &
a(3,2) * var(:,:,3+ol) + a(4,2) * var(:,:,4+ol) ) * idel
rhs(:,:,3+ol) = rhs(:,:,3+ol) + &
( a(1,3) * var(:,:,1+ol) + a(2,3) * var(:,:,2+ol) + &
a(3,3) * var(:,:,3+ol) + a(4,3) * var(:,:,4+ol) + &
a(5,3) * var(:,:,5+ol) ) * idel
rhs(:,:,4+ol) = rhs(:,:,4+ol) + &
( a(2,4) * var(:,:,2+ol) + a(3,4) * var(:,:,3+ol) + &
a(4,4) * var(:,:,4+ol) + a(5,4) * var(:,:,5+ol) + &
a(6,4) * var(:,:,6+ol) ) * idel
!$omp end parallel workshare
kl = 5 + ol
end if
if ( bb(6) == 0 ) then
kr = nk - gsize(3)
else
or = nk - offset(6)
!$omp parallel workshare
rhs(:,:,or-3) = rhs(:,:,or-3) + &
( a(2,4) * var(:,:,or-1) + a(3,4) * var(:,:,or-2) + &
a(4,4) * var(:,:,or-3) + a(5,4) * var(:,:,or-4) + &
a(6,4) * var(:,:,or-5) ) * idel
rhs(:,:,or-2) = rhs(:,:,or-2) + &
( a(1,3) * var(:,:,or) + a(2,3) * var(:,:,or-1) + &
a(3,3) * var(:,:,or-2) + a(4,3) * var(:,:,or-3) + &
a(5,3) * var(:,:,or-4) ) * idel
rhs(:,:,or-1) = rhs(:,:,or-1) + &
( a(1,2) * var(:,:,or) + a(2,2) * var(:,:,or-1) + &
a(3,2) * var(:,:,or-2) + a(4,2) * var(:,:,or-3) ) * idel
rhs(:,:,or) = rhs(:,:,or) + &
( a(1,1) * var(:,:,or) + a(2,1) * var(:,:,or-1) + &
a(3,1) * var(:,:,or-2) ) * idel
!$omp end parallel workshare
kr = or - 4
end if
!$omp parallel workshare
rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + &
( -6.0_wp * var(:,:,kl:kr) + &
4.0_wp * ( var(:,:,kl-1:kr-1) + &
var(:,:,kl+1:kr+1) ) - &
( var(:,:,kl-2:kr-2) + &
var(:,:,kl+2:kr+2) ) ) * idel
!$omp end parallel workshare
end if
contains
subroutine set_coeff ( a )
implicit none
CCTK_REAL, dimension(6,4), intent(OUT) :: a
CCTK_REAL :: zero = 0.0
integer, parameter :: wp = kind(zero)
a(1,1) = -2.8235294117647058823529411764705882352941176470588_wp
a(2,1) = 5.6470588235294117647058823529411764705882352941176_wp
a(3,1) = -2.8235294117647058823529411764705882352941176470588_wp
a(4,1) = 0.0_wp
a(5,1) = 0.0_wp
a(6,1) = 0.0_wp
a(1,2) = 1.6271186440677966101694915254237288135593220338983_wp
a(2,2) = -4.0677966101694915254237288135593220338983050847458_wp
a(3,2) = 3.2542372881355932203389830508474576271186440677966_wp
a(4,2) = -0.81355932203389830508474576271186440677966101694915_wp
a(5,2) = 0.0_wp
a(6,2) = 0.0_wp
a(1,3) = -1.1162790697674418604651162790697674418604651162791_wp
a(2,3) = 4.4651162790697674418604651162790697674418604651163_wp
a(3,3) = -6.6976744186046511627906976744186046511627906976744_wp
a(4,3) = 4.4651162790697674418604651162790697674418604651163_wp
a(5,3) = -1.1162790697674418604651162790697674418604651162791_wp
a(6,3) = 0.0_wp
a(1,4) = 0.0_wp
a(2,4) = -0.97959183673469387755102040816326530612244897959184_wp
a(3,4) = 3.9183673469387755102040816326530612244897959183673_wp
a(4,4) = -5.8775510204081632653061224489795918367346938775510_wp
a(5,4) = 3.9183673469387755102040816326530612244897959183673_wp
a(6,4) = -0.97959183673469387755102040816326530612244897959184_wp
end subroutine set_coeff
end subroutine dissipation_4_2
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