From 4a35d4d322c030c2b9dab1aaf6324ab956fee976 Mon Sep 17 00:00:00 2001 From: eschnett Date: Fri, 16 Dec 2011 15:55:08 +0000 Subject: Add ninth order dissipation operator git-svn-id: http://svn.cactuscode.org/arrangements/CactusNumerical/Dissipation/trunk@46 850bcc8b-0e4f-0410-8c26-8d28fbf1eda9 --- param.ccl | 1 + src/apply_dissipation.F77 | 46 +++++++++++++++++++++++++++++++++------------- 2 files changed, 34 insertions(+), 13 deletions(-) diff --git a/param.ccl b/param.ccl index 81798b5..fe6f50f 100644 --- a/param.ccl +++ b/param.ccl @@ -13,6 +13,7 @@ INT order "Dissipation order" STEERABLE=always 3 :: "third order accurate dissipation (using a fourth derivative)" 5 :: "fifth order accurate dissipation (using a sixth derivative)" 7 :: "seventh order accurate dissipation (using an eighth derivative)" + 9 :: "ninth order accurate dissipation (using a tenth derivative)" } 3 REAL epsdis "Dissipation strength" STEERABLE=always diff --git a/src/apply_dissipation.F77 b/src/apply_dissipation.F77 index d4a9519..a54b80c 100644 --- a/src/apply_dissipation.F77 +++ b/src/apply_dissipation.F77 @@ -7,12 +7,16 @@ c $Header$ integer ni, nj, nk CCTK_REAL var(ni,nj,nk), rhs(ni,nj,nk) - CCTK_REAL dx(3) + CCTK_REAL dx(3), idx(3) CCTK_INT order CCTK_REAL epsdis(ni,nj,nk) integer i, j, k + idx(1) = 1 / dx(1) + idx(2) = 1 / dx(2) + idx(3) = 1 / dx(3) + if (order .eq. 1) then c$omp parallel do private(i,j,k) @@ -20,9 +24,9 @@ c$omp parallel do private(i,j,k) do j = 2, nj-1 do i = 2, ni-1 rhs(i,j,k) = rhs(i,j,k) + epsdis(i,j,k) - $ * (+ (var(i-1,j,k) - 2*var(i,j,k) + var(i+1,j,k)) / dx(1) - $ + (var(i,j-1,k) - 2*var(i,j,k) + var(i,j+1,k)) / dx(2) - $ + (var(i,j,k-1) - 2*var(i,j,k) + var(i,j,k+1)) / dx(3)) + $ * (+ (var(i-1,j,k) - 2*var(i,j,k) + var(i+1,j,k)) * idx(1) + $ + (var(i,j-1,k) - 2*var(i,j,k) + var(i,j+1,k)) * idx(2) + $ + (var(i,j,k-1) - 2*var(i,j,k) + var(i,j,k+1)) * idx(3)) end do end do @@ -36,9 +40,9 @@ c$omp parallel do private(i,j,k) do i = 3, ni-2 rhs(i,j,k) = rhs(i,j,k) - epsdis(i,j,k) / 16 - $ * (+ (var(i-2,j,k) - 4*var(i-1,j,k) + 6*var(i,j,k) - 4*var(i+1,j,k) + var(i+2,j,k)) / dx(1) - $ + (var(i,j-2,k) - 4*var(i,j-1,k) + 6*var(i,j,k) - 4*var(i,j+1,k) + var(i,j+2,k)) / dx(2) - $ + (var(i,j,k-2) - 4*var(i,j,k-1) + 6*var(i,j,k) - 4*var(i,j,k+1) + var(i,j,k+2)) / dx(3)) + $ * (+ (var(i-2,j,k) - 4*var(i-1,j,k) + 6*var(i,j,k) - 4*var(i+1,j,k) + var(i+2,j,k)) * idx(1) + $ + (var(i,j-2,k) - 4*var(i,j-1,k) + 6*var(i,j,k) - 4*var(i,j+1,k) + var(i,j+2,k)) * idx(2) + $ + (var(i,j,k-2) - 4*var(i,j,k-1) + 6*var(i,j,k) - 4*var(i,j,k+1) + var(i,j,k+2)) * idx(3)) end do end do @@ -52,9 +56,9 @@ c$omp parallel do private(i,j,k) do i = 4, ni-3 rhs(i,j,k) = rhs(i,j,k) + epsdis(i,j,k) / 64 - $ * (+ (var(i-3,j,k) - 6*var(i-2,j,k) + 15*var(i-1,j,k) - 20*var(i,j,k) + 15*var(i+1,j,k) - 6*var(i+2,j,k) + var(i+3,j,k)) / dx(1) - $ + (var(i,j-3,k) - 6*var(i,j-2,k) + 15*var(i,j-1,k) - 20*var(i,j,k) + 15*var(i,j+1,k) - 6*var(i,j+2,k) + var(i,j+3,k) ) / dx(2) - $ + (var(i,j,k-3) - 6*var(i,j,k-2) + 15*var(i,j,k-1) - 20*var(i,j,k) + 15*var(i,j,k+1) - 6*var(i,j,k+2) + var(i,j,k+3) ) / dx(3)) + $ * (+ (var(i-3,j,k) - 6*var(i-2,j,k) + 15*var(i-1,j,k) - 20*var(i,j,k) + 15*var(i+1,j,k) - 6*var(i+2,j,k) + var(i+3,j,k)) * idx(1) + $ + (var(i,j-3,k) - 6*var(i,j-2,k) + 15*var(i,j-1,k) - 20*var(i,j,k) + 15*var(i,j+1,k) - 6*var(i,j+2,k) + var(i,j+3,k) ) * idx(2) + $ + (var(i,j,k-3) - 6*var(i,j,k-2) + 15*var(i,j,k-1) - 20*var(i,j,k) + 15*var(i,j,k+1) - 6*var(i,j,k+2) + var(i,j,k+3) ) * idx(3)) end do end do @@ -68,9 +72,25 @@ c$omp parallel do private(i,j,k) do i = 5, ni-4 rhs(i,j,k) = rhs(i,j,k) - epsdis(i,j,k) / 256 - $ * (+ (var(i-4,j,k) - 8*var(i-3,j,k) + 28*var(i-2,j,k) - 56*var(i-1,j,k) + 70*var(i,j,k) - 56*var(i+1,j,k) + 28*var(i+2,j,k) - 8*var(i+3,j,k) + var(i+4,j,k)) / dx(1) - $ + (var(i,j-4,k) - 8*var(i,j-3,k) + 28*var(i,j-2,k) - 56*var(i,j-1,k) + 70*var(i,j,k) - 56*var(i,j+1,k) + 28*var(i,j+2,k) - 8*var(i,j+3,k) + var(i,j+4,k)) / dx(2) - $ + (var(i,j,k-4) - 8*var(i,j,k-3) + 28*var(i,j,k-2) - 56*var(i,j,k-1) + 70*var(i,j,k) - 56*var(i,j,k+1) + 28*var(i,j,k+2) - 8*var(i,j,k+3) + var(i,j,k+4)) / dx(3)) + $ * (+ (var(i-4,j,k) - 8*var(i-3,j,k) + 28*var(i-2,j,k) - 56*var(i-1,j,k) + 70*var(i,j,k) - 56*var(i+1,j,k) + 28*var(i+2,j,k) - 8*var(i+3,j,k) + var(i+4,j,k)) * idx(1) + $ + (var(i,j-4,k) - 8*var(i,j-3,k) + 28*var(i,j-2,k) - 56*var(i,j-1,k) + 70*var(i,j,k) - 56*var(i,j+1,k) + 28*var(i,j+2,k) - 8*var(i,j+3,k) + var(i,j+4,k)) * idx(2) + $ + (var(i,j,k-4) - 8*var(i,j,k-3) + 28*var(i,j,k-2) - 56*var(i,j,k-1) + 70*var(i,j,k) - 56*var(i,j,k+1) + 28*var(i,j,k+2) - 8*var(i,j,k+3) + var(i,j,k+4)) * idx(3)) + + end do + end do + end do + + else if (order .eq. 9) then + +c$omp parallel do private(i,j,k) + do k = 6, nk-5 + do j = 6, nj-5 + do i = 6, ni-5 + + rhs(i,j,k) = rhs(i,j,k) + epsdis(i,j,k) / 1024 + $ * (+ (var(i-5,j,k) - 10*var(i-4,j,k) + 45*var(i-3,j,k) - 120*var(i-2,j,k) + 210*var(i-1,j,k) - 252*var(i,j,k) + 210*var(i+1,j,k) - 120*var(i+2,j,k) + 45*var(i+3,j,k) - 10*var(i+4,j,k) + var(i+5,j,k)) * idx(1) + $ + (var(i,j-5,k) - 10*var(i,j-4,k) + 45*var(i,j-3,k) - 120*var(i,j-2,k) + 210*var(i,j-1,k) - 252*var(i,j,k) + 210*var(i,j+1,k) - 120*var(i,j+2,k) + 45*var(i,j+3,k) - 10*var(i,j+4,k) + var(i,j+5,k)) * idx(2) + $ + (var(i,j,k-5) - 10*var(i,j,k-4) + 45*var(i,j,k-3) - 120*var(i,j,k-2) + 210*var(i,j,k-1) - 252*var(i,j,k) + 210*var(i,j,k+1) - 120*var(i,j,k+2) + 45*var(i,j,k+3) - 10*var(i,j,k+4) + var(i,j,k+5)) * idx(3)) end do end do -- cgit v1.2.3