From 6c9e944df63221316b029d28b7cee534819da525 Mon Sep 17 00:00:00 2001 From: diener Date: Fri, 3 Feb 2006 15:41:12 +0000 Subject: Kreiss-Oliger type dissipation for the restricted full norm 4-3 operator. git-svn-id: https://svn.cct.lsu.edu/repos/numrel/LSUThorns/SummationByParts/trunk@57 f69c4107-0314-4c4f-9ad4-17e986b73f4a --- src/Dissipation_4_3_min_err_coeff_alt.F90 | 690 ++++++++++++++++++++++++++++++ src/dissipation.c | 6 + src/make.code.defn | 1 + 3 files changed, 697 insertions(+) create mode 100644 src/Dissipation_4_3_min_err_coeff_alt.F90 diff --git a/src/Dissipation_4_3_min_err_coeff_alt.F90 b/src/Dissipation_4_3_min_err_coeff_alt.F90 new file mode 100644 index 0000000..4f103cd --- /dev/null +++ b/src/Dissipation_4_3_min_err_coeff_alt.F90 @@ -0,0 +1,690 @@ +! $Header$ + +#include "cctk.h" +#include "cctk_Parameters.h" +#include "cctk_Functions.h" + + +subroutine dissipation_4_3_alt (var, lsh, gsh, lbnd, bb, gsize, & + delta, epsilon, dfl, rhs) + + implicit none + + DECLARE_CCTK_PARAMETERS + DECLARE_CCTK_FUNCTIONS + + CCTK_INT, dimension(3), intent(in) :: lsh, gsh, lbnd + CCTK_INT :: ni, nj, nk + CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), intent(in) :: var + CCTK_REAL, dimension(lsh(1),lsh(2),lsh(3)), 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, dfl + + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + integer :: i, j, k, center + CCTK_REAL, dimension(:,:), allocatable :: a, d, b, h, tmp + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + ni = lsh(1); nj = lsh(2); nk = lsh(3) + + allocate ( a(ni,ni), d(ni,ni), b(ni,ni), h(ni,ni), tmp(ni,ni) ) + a = zero; d = zero; b = zero; h = zero; tmp = zero + + call set_bmatrix ( b, bb(1:2), lsh(1), gsh(1), lbnd(1), delta(1), dfl ) + + call set_hmatrix ( h, bb(1:2) ) + + if ( any ( bb(1:2) == 0 ) ) then + + call set_dmatrix ( d, bb(1:2) ) + + a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) ) + + else + + if ( lsh(1) /= gsh(1) ) then + call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' ) + end if + + center = gsh(1) / 2 + ir = center + max(3,gsize(1)) + + call set_dmatrix_half ( d(1:ir,1:ir), 1 ) + + tmp(1:ir,1:ir) = -transpose ( & + matmul ( h(1:ir,1:ir), & + matmul ( & + transpose ( d(1:ir,1:ir) ), & + matmul ( b(1:ir,1:ir), & + d(1:ir,1:ir) ) ) ) ) + + a(1:ir,1:center) = tmp(1:ir,1:center) + + il = center + 1 - max(3,gsize(1)) + d = zero + call set_dmatrix_half ( d(il:ni,il:ni), 2 ) + tmp(il:ni,il:ni) = -transpose ( & + matmul ( h(il:ni,il:ni), & + matmul ( & + transpose ( d(il:ni,il:ni) ), & + matmul ( b(il:ni,il:ni), & + d(il:ni,il:ni) ) ) ) ) + + a(il:ni,center+1:ni) = tmp(il:ni,center+1:ni) + + end if + + idel = epsilon / ( 64 * 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,:,:) + a(4,1) * var(4,:,:) ) * 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,:,:) + & + a(5,2) * var(5,:,:) + a(6,2) * var(6,:,:) + & + a(7,2) * var(7,:,:) + a(8,2) * var(8,:,:) ) * 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,:,:) + a(6,3) * var(6,:,:) + & + a(7,3) * var(7,:,:) + a(8,3) * var(8,:,:) ) * idel + rhs(4,:,:) = rhs(4,:,:) + & + ( a(1,4) * var(1,:,:) + 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,:,:) + & + a(7,4) * var(7,:,:) + a(8,4) * var(8,:,:) ) * idel + rhs(5,:,:) = rhs(5,:,:) + & + ( a(1,5) * var(1,:,:) + a(2,5) * var(2,:,:) + & + a(3,5) * var(3,:,:) + a(4,5) * var(4,:,:) + & + a(5,5) * var(5,:,:) + a(6,5) * var(6,:,:) + & + a(7,5) * var(7,:,:) + a(8,5) * var(8,:,:) ) * idel + + il = 6 + + end if + + if ( bb(2) == 0 ) then + + ir = ni - gsize(1) + + else + + rhs(ni-4,:,:) = rhs(ni-4,:,:) + & + ( a(ni-7,ni-4) * var(ni-7,:,:) + & + a(ni-6,ni-4) * var(ni-6,:,:) + & + a(ni-5,ni-4) * var(ni-5,:,:) + & + a(ni-4,ni-4) * var(ni-4,:,:) + & + a(ni-3,ni-4) * var(ni-3,:,:) + & + a(ni-2,ni-4) * var(ni-2,:,:) + & + a(ni-1,ni-4) * var(ni-1,:,:) + & + a(ni,ni-4) * var(ni,:,:) ) * idel + rhs(ni-3,:,:) = rhs(ni-3,:,:) + & + ( a(ni-7,ni-3) * var(ni-7,:,:) + & + a(ni-6,ni-3) * var(ni-6,:,:) + & + a(ni-5,ni-3) * var(ni-5,:,:) + & + a(ni-4,ni-3) * var(ni-4,:,:) + & + a(ni-3,ni-3) * var(ni-3,:,:) + & + a(ni-2,ni-3) * var(ni-2,:,:) + & + a(ni-1,ni-3) * var(ni-1,:,:) + & + a(ni,ni-3) * var(ni,:,:) ) * idel + rhs(ni-2,:,:) = rhs(ni-2,:,:) + & + ( a(ni-7,ni-2) * var(ni-7,:,:) + & + a(ni-6,ni-2) * var(ni-6,:,:) + & + a(ni-5,ni-2) * var(ni-5,:,:) + & + a(ni-4,ni-2) * var(ni-4,:,:) + & + a(ni-3,ni-2) * var(ni-3,:,:) + & + a(ni-2,ni-2) * var(ni-2,:,:) + & + a(ni-1,ni-2) * var(ni-1,:,:) + & + a(ni,ni-2) * var(ni,:,:) ) * idel + rhs(ni-1,:,:) = rhs(ni-1,:,:) + & + ( a(ni-7,ni-1) * var(ni-7,:,:) + & + a(ni-6,ni-1) * var(ni-6,:,:) + & + a(ni-5,ni-1) * var(ni-5,:,:) + & + a(ni-4,ni-1) * var(ni-4,:,:) + & + a(ni-3,ni-1) * var(ni-3,:,:) + & + a(ni-2,ni-1) * var(ni-2,:,:) + & + a(ni-1,ni-1) * var(ni-1,:,:) + & + a(ni,ni-1) * var(ni,:,:) ) * idel + rhs(ni,:,:) = rhs(ni,:,:) + & + ( a(ni-3,ni) * var(ni-3,:,:) + & + a(ni-2,ni) * var(ni-2,:,:) + & + a(ni-1,ni) * var(ni-1,:,:) + & + a(ni,ni) * var(ni,:,:) ) * idel + + ir = ni - 5 + + end if + + do i = il, ir + + rhs(i,:,:) = rhs(i,:,:) + & + ( a(i-3,i) * var(i-3,:,:) + & + a(i-2,i) * var(i-2,:,:) + & + a(i-1,i) * var(i-1,:,:) + & + a(i,i) * var(i,:,:) + & + a(i+1,i) * var(i+1,:,:) + & + a(i+2,i) * var(i+2,:,:) + & + a(i+3,i) * var(i+3,:,:) ) * idel + + end do + + deallocate ( a, d, b, h, tmp ) + + allocate ( a(nj,nj), d(nj,nj), b(nj,nj), h(nj,nj), tmp(nj,nj) ) + a = zero; d = zero; b = zero; h = zero; + + call set_bmatrix ( b, bb(3:4), lsh(2), gsh(2), lbnd(2), delta(2), dfl ) + + call set_hmatrix ( h, bb(3:4) ) + + if ( any ( bb(3:4) == 0 ) ) then + + call set_dmatrix ( d, bb(3:4) ) + + a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) ) + + else + + if ( lsh(2) /= gsh(2) ) then + call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' ) + end if + + center = gsh(2) / 2 + jr = center + max(3,gsize(2)) + + call set_dmatrix_half ( d(1:jr,1:jr), 1 ) + + tmp(1:jr,1:jr) = -transpose ( & + matmul ( h(1:jr,1:jr), & + matmul ( & + transpose ( d(1:jr,1:jr) ), & + matmul ( b(1:jr,1:jr), & + d(1:jr,1:jr) ) ) ) ) + + a(1:jr,1:center) = tmp(1:jr,1:center) + + jl = center + 1 - max(3,gsize(2)) + d = zero + call set_dmatrix_half ( d(jl:nj,jl:nj), 2 ) + tmp(jl:nj,jl:nj) = -transpose ( & + matmul ( h(jl:nj,jl:nj), & + matmul ( & + transpose ( d(jl:nj,jl:nj) ), & + matmul ( b(jl:nj,jl:nj), & + d(jl:nj,jl:nj) ) ) ) ) + + a(jl:nj,center+1:nj) = tmp(jl:nj,center+1:nj) + + end if + + idel = epsilon / ( 64 * 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,:) + a(4,1) * var(:,4,:) ) * 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,:) + & + a(5,2) * var(:,5,:) + a(6,2) * var(:,6,:) + & + a(7,2) * var(:,7,:) + a(8,2) * var(:,8,:) ) * 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,:) + a(6,3) * var(:,6,:) + & + a(7,3) * var(:,7,:) + a(8,3) * var(:,8,:) ) * idel + rhs(:,4,:) = rhs(:,4,:) + & + ( a(1,4) * var(:,1,:) + 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,:) + & + a(7,4) * var(:,7,:) + a(8,4) * var(:,8,:) ) * idel + rhs(:,5,:) = rhs(:,5,:) + & + ( a(1,5) * var(:,1,:) + a(2,5) * var(:,2,:) + & + a(3,5) * var(:,3,:) + a(4,5) * var(:,4,:) + & + a(5,5) * var(:,5,:) + a(6,5) * var(:,6,:) + & + a(7,5) * var(:,7,:) + a(8,5) * var(:,8,:) ) * idel + + jl = 6 + + end if + + if ( bb(4) == 0 ) then + + jr = nj - gsize(2) + + else + + rhs(:,nj-4,:) = rhs(:,nj-4,:) + & + ( a(nj-7,nj-4) * var(:,nj-7,:) + & + a(nj-6,nj-4) * var(:,nj-6,:) + & + a(nj-5,nj-4) * var(:,nj-5,:) + & + a(nj-4,nj-4) * var(:,nj-4,:) + & + a(nj-3,nj-4) * var(:,nj-3,:) + & + a(nj-2,nj-4) * var(:,nj-2,:) + & + a(nj-1,nj-4) * var(:,nj-1,:) + & + a(nj,nj-4) * var(:,nj,:) ) * idel + rhs(:,nj-3,:) = rhs(:,nj-3,:) + & + ( a(nj-7,nj-3) * var(:,nj-7,:) + & + a(nj-6,nj-3) * var(:,nj-6,:) + & + a(nj-5,nj-3) * var(:,nj-5,:) + & + a(nj-4,nj-3) * var(:,nj-4,:) + & + a(nj-3,nj-3) * var(:,nj-3,:) + & + a(nj-2,nj-3) * var(:,nj-2,:) + & + a(nj-1,nj-3) * var(:,nj-1,:) + & + a(nj,nj-3) * var(:,nj,:) ) * idel + rhs(:,nj-2,:) = rhs(:,nj-2,:) + & + ( a(nj-7,nj-2) * var(:,nj-7,:) + & + a(nj-6,nj-2) * var(:,nj-6,:) + & + a(nj-5,nj-2) * var(:,nj-5,:) + & + a(nj-4,nj-2) * var(:,nj-4,:) + & + a(nj-3,nj-2) * var(:,nj-3,:) + & + a(nj-2,nj-2) * var(:,nj-2,:) + & + a(nj-1,nj-2) * var(:,nj-1,:) + & + a(nj,nj-2) * var(:,nj,:) ) * idel + rhs(:,nj-1,:) = rhs(:,nj-1,:) + & + ( a(nj-7,nj-1) * var(:,nj-7,:) + & + a(nj-6,nj-1) * var(:,nj-6,:) + & + a(nj-5,nj-1) * var(:,nj-5,:) + & + a(nj-4,nj-1) * var(:,nj-4,:) + & + a(nj-3,nj-1) * var(:,nj-3,:) + & + a(nj-2,nj-1) * var(:,nj-2,:) + & + a(nj-1,nj-1) * var(:,nj-1,:) + & + a(nj,nj-1) * var(:,nj,:) ) * idel + rhs(:,nj,:) = rhs(:,nj,:) + & + ( a(nj-3,nj) * var(:,nj-3,:) + & + a(nj-2,nj) * var(:,nj-2,:) + & + a(nj-1,nj) * var(:,nj-1,:) + & + a(nj,nj) * var(:,nj,:) ) * idel + + jr = nj - 5 + + end if + + do j = jl, jr + + rhs(:,j,:) = rhs(:,j,:) + & + ( a(j-3,j) * var(:,j-3,:) + & + a(j-2,j) * var(:,j-2,:) + & + a(j-1,j) * var(:,j-1,:) + & + a(j,j) * var(:,j,:) + & + a(j+1,j) * var(:,j+1,:) + & + a(j+2,j) * var(:,j+2,:) + & + a(j+3,j) * var(:,j+3,:) ) * idel + + end do + + deallocate ( a, d, b, h, tmp ) + + allocate ( a(nk,nk), d(nk,nk), b(nk,nk), h(nk,nk), tmp(nk,nk) ) + a = zero; d = zero; b = zero; h = zero; tmp = zero + + call set_bmatrix ( b, bb(5:6), lsh(3), gsh(3), lbnd(3), delta(3), dfl ) + + call set_hmatrix ( h, bb(5:6) ) + + if ( any ( bb(5:6) == 0 ) ) then + + call set_dmatrix ( d, bb(5:6) ) + + a = -transpose ( matmul ( h, matmul ( transpose(d), matmul ( b, d ) ) ) ) + + else + + if ( lsh(3) /= gsh(3) ) then + call CCTK_WARN(0, 'Internal error. Bounding box inconsistent with grid' ) + end if + + center = gsh(3) / 2 + kr = center + max(3,gsize(3)) + + call set_dmatrix_half ( d(1:kr,1:kr), 1 ) + + tmp(1:kr,1:kr) = -transpose ( & + matmul ( h(1:kr,1:kr), & + matmul ( & + transpose ( d(1:kr,1:kr) ), & + matmul ( b(1:kr,1:kr), & + d(1:kr,1:kr) ) ) ) ) + + a(1:kr,1:center) = tmp(1:kr,1:center) + + kl = center + 1 - max(3,gsize(3)) + d = zero + call set_dmatrix_half ( d(kl:nk,kl:nk), 2 ) + tmp(kl:nk,kl:nk) = -transpose ( & + matmul ( h(kl:nk,kl:nk), & + matmul ( & + transpose ( d(kl:nk,kl:nk) ), & + matmul ( b(kl:nk,kl:nk), & + d(kl:nk,kl:nk) ) ) ) ) + + a(kl:nk,center+1:nk) = tmp(kl:nk,center+1:nk) + + end if + + idel = epsilon / ( 64 * 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) + a(4,1) * var(:,:,4) ) * 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) + & + a(5,2) * var(:,:,5) + a(6,2) * var(:,:,6) + & + a(7,2) * var(:,:,7) + a(8,2) * var(:,:,8) ) * 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) + a(6,3) * var(:,:,6) + & + a(7,3) * var(:,:,7) + a(8,3) * var(:,:,8) ) * idel + rhs(:,:,4) = rhs(:,:,4) + & + ( a(1,4) * var(:,:,1) + 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) + & + a(7,4) * var(:,:,7) + a(8,4) * var(:,:,8) ) * idel + rhs(:,:,5) = rhs(:,:,5) + & + ( a(1,5) * var(:,:,1) + a(2,5) * var(:,:,2) + & + a(3,5) * var(:,:,3) + a(4,5) * var(:,:,4) + & + a(5,5) * var(:,:,5) + a(6,5) * var(:,:,6) + & + a(7,5) * var(:,:,7) + a(8,5) * var(:,:,8) ) * idel + + kl = 6 + + end if + + if ( bb(6) == 0 ) then + + kr = nk - gsize(3) + + else + + rhs(:,:,nk-4) = rhs(:,:,nk-4) + & + ( a(nk-7,nk-4) * var(:,:,nk-7) + & + a(nk-6,nk-4) * var(:,:,nk-6) + & + a(nk-5,nk-4) * var(:,:,nk-5) + & + a(nk-4,nk-4) * var(:,:,nk-4) + & + a(nk-3,nk-4) * var(:,:,nk-3) + & + a(nk-2,nk-4) * var(:,:,nk-2) + & + a(nk-1,nk-4) * var(:,:,nk-1) + & + a(nk,nk-4) * var(:,:,nk) ) * idel + rhs(:,:,nk-3) = rhs(:,:,nk-3) + & + ( a(nk-7,nk-3) * var(:,:,nk-7) + & + a(nk-6,nk-3) * var(:,:,nk-6) + & + a(nk-5,nk-3) * var(:,:,nk-5) + & + a(nk-4,nk-3) * var(:,:,nk-4) + & + a(nk-3,nk-3) * var(:,:,nk-3) + & + a(nk-2,nk-3) * var(:,:,nk-2) + & + a(nk-1,nk-3) * var(:,:,nk-1) + & + a(nk,nk-3) * var(:,:,nk) ) * idel + rhs(:,:,nk-2) = rhs(:,:,nk-2) + & + ( a(nk-7,nk-2) * var(:,:,nk-7) + & + a(nk-6,nk-2) * var(:,:,nk-6) + & + a(nk-5,nk-2) * var(:,:,nk-5) + & + a(nk-4,nk-2) * var(:,:,nk-4) + & + a(nk-3,nk-2) * var(:,:,nk-3) + & + a(nk-2,nk-2) * var(:,:,nk-2) + & + a(nk-1,nk-2) * var(:,:,nk-1) + & + a(nk,nk-2) * var(:,:,nk) ) * idel + rhs(:,:,nk-1) = rhs(:,:,nk-1) + & + ( a(nk-7,nk-1) * var(:,:,nk-7) + & + a(nk-6,nk-1) * var(:,:,nk-6) + & + a(nk-5,nk-1) * var(:,:,nk-5) + & + a(nk-4,nk-1) * var(:,:,nk-4) + & + a(nk-3,nk-1) * var(:,:,nk-3) + & + a(nk-2,nk-1) * var(:,:,nk-2) + & + a(nk-1,nk-1) * var(:,:,nk-1) + & + a(nk,nk-1) * var(:,:,nk) ) * idel + rhs(:,:,nk) = rhs(:,:,nk) + & + ( a(nk-3,nk) * var(:,:,nk-3) + & + a(nk-2,nk) * var(:,:,nk-2) + & + a(nk-1,nk) * var(:,:,nk-1) + & + a(nk,nk) * var(:,:,nk) ) * idel + + kr = nk - 5 + + end if + + do k = kl, kr + + rhs(:,:,k) = rhs(:,:,k) + & + ( a(k-3,k) * var(:,:,k-3) + & + a(k-2,k) * var(:,:,k-2) + & + a(k-1,k) * var(:,:,k-1) + & + a(k,k) * var(:,:,k) + & + a(k+1,k) * var(:,:,k+1) + & + a(k+2,k) * var(:,:,k+2) + & + a(k+3,k) * var(:,:,k+3) ) * idel + + end do + + deallocate ( a, d, b, h, tmp ) + +contains + + subroutine set_dmatrix ( d, bb ) + + implicit none + + CCTK_REAL, dimension(:,:), intent(out) :: d + CCTK_INT, dimension(2), intent(in) :: bb + CCTK_INT :: n + CCTK_REAL, dimension(4), save :: ac = (/ -1.0_wp, 3.0_wp, -3.0_wp, 1.0_wp /) + CCTK_INT :: i + + n = size(d,1) + + if ( any(bb /= 0) ) then + + if ( bb(1) /= 0 ) then + + d(1,1:4) = ac + d(2,1:4) = ac + + do i = 3, n-1 + d(i,i-2:i+1) = ac + end do + + d(n,n-2:n) = ac(1:3) + + else + + d(1,1:3) = ac(2:4) + + do i = 2, n-2 + d(i,i-1:i+2) = ac + end do + + d(n-1,n-3:n) = ac + d(n,n-3:n) = ac + + end if + + else + + d(1,1:2) = ac(3:4) + d(2,1:3) = ac(2:4) + + do i = 3, n-1 + d(i,i-2:i+1) = ac + end do + + d(n,n-2:n) = ac(1:3) + + end if + + end subroutine set_dmatrix + + + subroutine set_dmatrix_half ( d, part ) + + implicit none + + CCTK_REAL, dimension(:,:), intent(out) :: d + CCTK_INT, intent(in) :: part + CCTK_INT :: n + CCTK_REAL, dimension(4), save :: ac = (/ -1.0_wp, 3.0_wp, -3.0_wp, 1.0_wp /) + CCTK_INT :: i + + n = size(d,1) + + if ( part == 1 ) then + + d(1,1:4) = ac + d(2,1:4) = ac + + do i = 3, n-1 + d(i,i-2:i+1) = ac + end do + + d(n,n-2:n) = ac(1:3) + + else if ( part == 2 ) then + + d(1,1:3) = ac(2:4) + + do i = 2, n-2 + d(i,i-1:i+2) = ac + end do + + d(n-1,n-3:n) = ac + d(n,n-3:n) = ac + + end if + + end subroutine set_dmatrix_half + + + subroutine set_bmatrix ( b, bb, lsh, gsh, lbnd, h, dfl ) + + implicit none + + CCTK_REAL, dimension(:,:), intent(out) :: b + CCTK_INT, dimension(2), intent(in) :: bb + CCTK_INT, intent(in) :: lsh, gsh, lbnd + CCTK_REAL, intent(in) :: h, dfl + CCTK_INT :: n, nwt + CCTK_INT :: i + CCTK_REAL :: xp, xmax + + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + n = size(b,1) + xp = ( gsh - 1 ) * dfl - 1 + + do i = 1, n + b(i,i) = bf ( real(i+lbnd-1,wp), xp, real(gsh-1,wp), h ) + end do + + end subroutine set_bmatrix + + + subroutine set_hmatrix ( h, bb ) + + implicit none + + CCTK_REAL, dimension(:,:), intent(out) :: h + CCTK_INT, dimension(2), intent(in) :: bb + CCTK_INT :: n, i + + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + n = size(h,1) + + do i = 1, n + h(i,i) = 1.0_wp + end do + + if ( bb(1) /= 0 ) then + h(1:5,1:5) = sigma ( ) + end if + + if ( bb(2) /= 0 ) then + h(n:n-4:-1,n:n-4:-1) = sigma ( ) + end if + + end subroutine set_hmatrix + + function bf ( x, xp, xmax, h ) + + implicit none + + CCTK_REAL :: bf + CCTK_REAL, intent(in) :: x, xp, xmax, h + + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + if ( x < xp ) then + bf = ( 1.0_wp - h ) / xp * x + h + else if ( x > xmax - xp ) then + bf = ( h - 1.0_wp ) / xp * ( x + xp - xmax ) + 1 + else + bf = 1.0_wp + end if + + end function bf + + function sigma ( ) + + implicit none + + CCTK_REAL, dimension(5,5) :: sigma + + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + sigma(1,1) = 4.186595370392226897362216859769846226369_wp + sigma(2,1) = 0_wp + sigma(3,1) = 0_wp + sigma(4,1) = 0_wp + sigma(5,1) = 0_wp + sigma(1,2) = 0_wp + sigma(2,2) = 0.6725191921225620731888714836983116420871_wp + sigma(3,2) = 0.3613418181134949259370502966736306984367_wp + sigma(4,2) = -0.2021316117293899791481674539631879662707_wp + sigma(5,2) = 0.03455320708729270824077678274955265350304_wp + sigma(1,3) = 0_wp + sigma(2,3) = 0.3613418181134949259370502966736306984367_wp + sigma(3,3) = 0.7206133711630147057720442098623847362950_wp + sigma(4,3) = 0.1376472340546569368321616389764958792591_wp + sigma(5,3) = -0.04136405531324488624637892257286207044784_wp + sigma(1,4) = 0_wp + sigma(2,4) = -0.2021316117293899791481674539631879662707_wp + sigma(3,4) = 0.1376472340546569368321616389764958792591_wp + sigma(4,4) = 0.9578653607931026822074133441449909689509_wp + sigma(5,4) = 0.02069353627247161734563597102894256809696_wp + sigma(1,5) = 0_wp + sigma(2,5) = 0.03455320708729270824077678274955265350304_wp + sigma(3,5) = -0.04136405531324488624637892257286207044784_wp + sigma(4,5) = 0.02069353627247161734563597102894256809696_wp + sigma(5,5) = 0.9908272703370861473007798925906968380654_wp + + end function sigma + +end subroutine dissipation_4_3_alt diff --git a/src/dissipation.c b/src/dissipation.c index 9c8a8a9..cc93b33 100644 --- a/src/dissipation.c +++ b/src/dissipation.c @@ -233,9 +233,15 @@ apply (int const varindex, char const * const optstring, void * const arg) } else { switch(order) { case 4: { + if ( CCTK_Equals(dissipation_type,"Mattson-Svard-Nordstrom") ) { CCTK_FNAME(dissipation_4_3_opt) (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, bbox, gsize, dx, &epsdis, &diss_fraction, rhsptr); + } else { + CCTK_FNAME(dissipation_4_3_alt) + (varptr, cctk_lsh, cctk_gsh, cctk_lbnd, + bbox, gsize, dx, &epsdis, &diss_fraction, rhsptr); + } break; } case 6: { diff --git a/src/make.code.defn b/src/make.code.defn index 50857c5..44c5741 100644 --- a/src/make.code.defn +++ b/src/make.code.defn @@ -27,6 +27,7 @@ SRCS = call_derivs.c \ Dissipation_8_4.F90 \ Dissipation_8_4_alt.F90 \ Dissipation_4_3_min_err_coeff.F90 \ + Dissipation_4_3_min_err_coeff_alt.F90 \ Dissipation_6_5_min_err_coeff.F90 \ Dissipation_6_5_min_err_coeff_alt.F90 \ get_coeffs.c \ -- cgit v1.2.3