diff options
author | diener <diener@f69c4107-0314-4c4f-9ad4-17e986b73f4a> | 2005-06-15 15:52:08 +0000 |
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committer | diener <diener@f69c4107-0314-4c4f-9ad4-17e986b73f4a> | 2005-06-15 15:52:08 +0000 |
commit | 2be746a547a1c999bdb068e1023e4d1ae62004e0 (patch) | |
tree | bf914c315bd2a3b436ae7863e4c618576ae16218 /src/Dissipation_4_2.F90 | |
parent | e08a6676391c01d9dce81e260c783f24c043c1d6 (diff) |
Added an optimized 6-3 operator and dissipation operators for the remaining
diagonal norm operators.
git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/SummationByParts/trunk@38 f69c4107-0314-4c4f-9ad4-17e986b73f4a
Diffstat (limited to 'src/Dissipation_4_2.F90')
-rw-r--r-- | src/Dissipation_4_2.F90 | 215 |
1 files changed, 215 insertions, 0 deletions
diff --git a/src/Dissipation_4_2.F90 b/src/Dissipation_4_2.F90 new file mode 100644 index 0000000..16a870d --- /dev/null +++ b/src/Dissipation_4_2.F90 @@ -0,0 +1,215 @@ +! $Header$ + +#include "cctk.h" + +subroutine dissipation_4_2 (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(6,4) :: a + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + call set_coeff ( a ) + + idel = epsdis / 16 + + 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 + rhs(3,:,:) = rhs(3,:,:) + & + ( a(1,3) * var(1,:,:) + a(2,3) * var(2,:,:) + & + a(3,3) * var(3,:,:) + a(4,3) * var(4,:,:) + & + a(5,3) * var(5,:,:) ) * idel + rhs(4,:,:) = rhs(4,:,:) + & + ( a(2,4) * var(2,:,:) + a(3,4) * var(3,:,:) + & + a(4,4) * var(4,:,:) + a(5,4) * var(5,:,:) + & + a(6,4) * var(6,:,:) ) * idel + + il = 5 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize(1) + else + rhs(ni-3,:,:) = rhs(ni-3,:,:) + & + ( a(2,4) * var(ni-1,:,:) + a(3,4) * var(ni-2,:,:) + & + a(4,4) * var(ni-3,:,:) + a(5,4) * var(ni-4,:,:) + & + a(6,4) * var(ni-5,:,:) ) * idel + rhs(ni-2,:,:) = rhs(ni-2,:,:) + & + ( a(1,3) * var(ni,:,:) + a(2,3) * var(ni-1,:,:) + & + a(3,3) * var(ni-2,:,:) + a(4,3) * var(ni-3,:,:) + & + a(5,3) * var(ni-4,:,:) ) * idel + 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 - 4 + 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 = epsdis / 16 + + 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 + rhs(:,3,:) = rhs(:,3,:) + & + ( a(1,3) * var(:,1,:) + a(2,3) * var(:,2,:) + & + a(3,3) * var(:,3,:) + a(4,3) * var(:,4,:) + & + a(5,3) * var(:,5,:) ) * idel + rhs(:,4,:) = rhs(:,4,:) + & + ( a(2,4) * var(:,2,:) + a(3,4) * var(:,3,:) + & + a(4,4) * var(:,4,:) + a(5,4) * var(:,5,:) + & + a(6,4) * var(:,6,:) ) * idel + + jl = 5 + end if + if ( bb(4) == 0 ) then + jr = nj - gsize(2) + else + rhs(:,nj-3,:) = rhs(:,nj-3,:) + & + ( a(2,4) * var(:,nj-1,:) + a(3,4) * var(:,nj-2,:) + & + a(4,4) * var(:,nj-3,:) + a(5,4) * var(:,nj-4,:) + & + a(6,4) * var(:,nj-5,:) ) * idel + rhs(:,nj-2,:) = rhs(:,nj-2,:) + & + ( a(1,3) * var(:,nj,:) + a(2,3) * var(:,nj-1,:) + & + a(3,3) * var(:,nj-2,:) + a(4,3) * var(:,nj-3,:) + & + a(5,3) * var(:,nj-4,:) ) * idel + 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 - 4 + 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 = epsdis / 16 + + 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 + rhs(:,:,3) = rhs(:,:,3) + & + ( a(1,3) * var(:,:,1) + a(2,3) * var(:,:,2) + & + a(3,3) * var(:,:,3) + a(4,3) * var(:,:,4) + & + a(5,3) * var(:,:,5) ) * idel + rhs(:,:,4) = rhs(:,:,4) + & + ( a(2,4) * var(:,:,2) + a(3,4) * var(:,:,3) + & + a(4,4) * var(:,:,4) + a(5,4) * var(:,:,5) + & + a(6,4) * var(:,:,6) ) * idel + + kl = 5 + end if + if ( bb(6) == 0 ) then + kr = nk - gsize(3) + else + rhs(:,:,nk-3) = rhs(:,:,nk-3) + & + ( a(2,4) * var(:,:,nk-1) + a(3,4) * var(:,:,nk-2) + & + a(4,4) * var(:,:,nk-3) + a(5,4) * var(:,:,nk-4) + & + a(6,4) * var(:,:,nk-5) ) * idel + rhs(:,:,nk-2) = rhs(:,:,nk-2) + & + ( a(1,3) * var(:,:,nk) + a(2,3) * var(:,:,nk-1) + & + a(3,3) * var(:,:,nk-2) + a(4,3) * var(:,:,nk-3) + & + a(5,3) * var(:,:,nk-4) ) * idel + 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 - 4 + 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(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 |