From 2be746a547a1c999bdb068e1023e4d1ae62004e0 Mon Sep 17 00:00:00 2001 From: diener Date: Wed, 15 Jun 2005 15:52:08 +0000 Subject: 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 --- src/Derivatives_6_3_min_err_coeff.F90 | 281 +++++++++++++++++++++++++++++ src/Dissipation_2_1.F90 | 137 ++++++++++++++ src/Dissipation_4_2.F90 | 215 ++++++++++++++++++++++ src/Dissipation_6_3.F90 | 323 ++++++++++++++++++++++++++++++++++ src/call_derivs.c | 13 ++ src/dissipation.c | 45 +++++ src/make.code.defn | 6 +- 7 files changed, 1019 insertions(+), 1 deletion(-) create mode 100644 src/Derivatives_6_3_min_err_coeff.F90 create mode 100644 src/Dissipation_2_1.F90 create mode 100644 src/Dissipation_4_2.F90 create mode 100644 src/Dissipation_6_3.F90 diff --git a/src/Derivatives_6_3_min_err_coeff.F90 b/src/Derivatives_6_3_min_err_coeff.F90 new file mode 100644 index 0000000..603c66c --- /dev/null +++ b/src/Derivatives_6_3_min_err_coeff.F90 @@ -0,0 +1,281 @@ +#include "cctk.h" +#include "cctk_Functions.h" +#include "cctk_Parameters.h" + +subroutine deriv_gf_6_3_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar ) + + implicit none + + DECLARE_CCTK_FUNCTIONS + DECLARE_CCTK_PARAMETERS + + CCTK_REAL, parameter :: zero = 0.0 + integer, parameter :: wp = kind(zero) + CCTK_INT, intent(IN) :: ni, nj, nk + CCTK_REAL, dimension(ni,nj,nk), intent(IN) :: var + CCTK_INT, intent(IN) :: dir + CCTK_INT, intent(IN) :: bb(2) + CCTK_INT, intent(IN) :: gsize + CCTK_REAL, intent(IN) :: delta + CCTK_REAL, dimension(ni,nj,nk), intent(OUT) :: dvar + + CCTK_REAL, dimension(3), save :: a + CCTK_REAL, dimension(9,6), save :: q + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + logical, save :: first = .true. + + if ( first ) then + a(1) = 3.0_wp/4.0_wp; a(2) = -3.0_wp/20.0_wp; a(3) = 1.0_wp/60.0_wp + + q(1,1) = -1.582533518939116418785258993332844897062_wp + q(2,1) = 2.033426786468126253898161347360808173712_wp + q(3,1) = -0.1417052898146741610733887894481170575600_wp + q(4,1) = -0.4501096599735708523162117824920488989702_wp + q(5,1) = 0.1042956382142412661862395105494407610836_wp + q(6,1) = 0.03662604404499391209045870736276191879693_wp + q(7,1) = 0_wp + q(8,1) = 0_wp + q(9,1) = 0_wp + q(1,2) = -0.4620701275035953590186631853846278325646_wp + q(2,2) = 0_wp + q(3,2) = 0.2873679417026202568532985205129449923126_wp + q(4,2) = 0.2585974499280928196267362923074433487080_wp + q(5,2) = -0.06894808744606961472005221923058251153103_wp + q(6,2) = -0.01494717668104810274131940820517799692506_wp + q(7,2) = 0_wp + q(8,2) = 0_wp + q(9,2) = 0_wp + q(1,3) = 0.07134398748360337973038301686379010397038_wp + q(2,3) = -0.6366933020423417826592908754928085932593_wp + q(3,3) = 0_wp + q(4,3) = 0.6067199374180168986519150843189505198519_wp + q(5,3) = -0.02338660408468356531858175098561718651857_wp + q(6,3) = -0.01798401877459493040442547470431484404443_wp + q(7,3) = 0_wp + q(8,3) = 0_wp + q(9,3) = 0_wp + q(1,4) = 0.1146397975178068401430112823144985150596_wp + q(2,4) = -0.2898424301162697370942324201800071793273_wp + q(3,4) = -0.3069262456316931913128086944558079603132_wp + q(4,4) = 0_wp + q(5,4) = 0.5203848121857539166740071338174418292578_wp + q(6,4) = -0.05169127637022742348368508279860701098408_wp + q(7,4) = 0.01343534241462959507370778130248180630715_wp + q(8,4) = 0_wp + q(9,4) = 0_wp + q(1,5) = -0.03614399304268576976452921364705641609825_wp + q(2,5) = 0.1051508663818248421520867474440761344449_wp + q(3,5) = 0.01609777419666805778308369351834662756172_wp + q(4,5) = -0.7080721616106272031118456849378369336023_wp + q(5,5) = 0_wp + q(6,5) = 0.7692160858661111736140494493705980473867_wp + q(7,5) = -0.1645296432652024882569506157166433921544_wp + q(8,5) = 0.01828107147391138758410562396851593246160_wp + q(9,5) = 0_wp + q(1,6) = -0.01141318406360863692889821914555232596651_wp + q(2,6) = 0.02049729840293952857599941220163960606616_wp + q(3,6) = 0.01113095018331244864875173213474522093204_wp + q(4,6) = 0.06324365883611076515355091406993789453750_wp + q(5,6) = -0.6916640154753724474963890679085181638850_wp + q(6,6) = 0_wp + q(7,6) = 0.7397091390607520376247117645715851236273_wp + q(8,6) = -0.1479418278121504075249423529143170247255_wp + q(9,6) = 0.01643798086801671194721581699047966941394_wp + + first = .false. + end if + + idel = 1.0_wp / delta + + direction: select case (dir) + case (0) direction + if ( bb(1) == 0 ) then + il = 1 + gsize + else + dvar(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + & + q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) + & + q(5,1) * var(5,:,:) + q(6,1) * var(6,:,:) ) * idel + dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(3,2) * var(3,:,:) + & + q(4,2) * var(4,:,:) + q(5,2) * var(5,:,:) + & + q(6,2) * var(6,:,:) ) * idel + dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + & + q(4,3) * var(4,:,:) + q(5,3) * var(5,:,:) + & + q(6,3) * var(6,:,:) ) * idel + dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + & + q(3,4) * var(3,:,:) + q(5,4) * var(5,:,:) + & + q(6,4) * var(6,:,:) + q(7,4) * var(7,:,:) ) * idel + dvar(5,:,:) = ( q(1,5) * var(1,:,:) + q(2,5) * var(2,:,:) + & + q(3,5) * var(3,:,:) + q(4,5) * var(4,:,:) + & + q(6,5) * var(6,:,:) + q(7,5) * var(7,:,:) + & + q(8,5) * var(8,:,:) ) * idel + dvar(6,:,:) = ( q(1,6) * var(1,:,:) + q(2,6) * var(2,:,:) + & + q(3,6) * var(3,:,:) + q(4,6) * var(4,:,:) + & + q(5,6) * var(5,:,:) + q(7,6) * var(7,:,:) + & + q(8,6) * var(8,:,:) + q(9,6) * var(9,:,:) ) * idel + + il = 7 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize + else + dvar(ni-5,:,:) = - ( q(1,6) * var(ni,:,:) + q(2,6) * var(ni-1,:,:) + & + q(3,6) * var(ni-2,:,:) + q(4,6) * var(ni-3,:,:) + & + q(5,6) * var(ni-4,:,:) + q(7,6) * var(ni-6,:,:) + & + q(8,6) * var(ni-7,:,:) + & + q(9,6) * var(ni-8,:,:) ) * idel + dvar(ni-4,:,:) = - ( q(1,5) * var(ni,:,:) + q(2,5) * var(ni-1,:,:) + & + q(3,5) * var(ni-2,:,:) + q(4,5) * var(ni-3,:,:) + & + q(6,5) * var(ni-5,:,:) + q(7,5) * var(ni-6,:,:) + & + q(8,5) * var(ni-7,:,:) ) * idel + dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + & + q(3,4) * var(ni-2,:,:) + q(5,4) * var(ni-4,:,:) + & + q(6,4) * var(ni-5,:,:) + & + q(7,4) * var(ni-6,:,:) ) * idel + dvar(ni-2,:,:) = - ( q(1,3) * var(ni,:,:) + q(2,3) * var(ni-1,:,:) + & + q(4,3) * var(ni-3,:,:) + q(5,3) * var(ni-4,:,:) + & + q(6,3) * var(ni-5,:,:) ) * idel + dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(3,2) * var(ni-2,:,:) + & + q(4,2) * var(ni-3,:,:) + q(5,2) * var(ni-4,:,:) + & + q(6,2) * var(ni-5,:,:) ) * idel + dvar(ni,:,:) = - ( q(1,1) * var(ni,:,:) + q(2,1) * var(ni-1,:,:) + & + q(3,1) * var(ni-2,:,:) + q(4,1) * var(ni-3,:,:) + & + q(5,1) * var(ni-4,:,:) + & + q(6,1) * var(ni-5,:,:) ) * idel + + ir = ni - 6 + end if + dvar(il:ir,:,:) = ( a(1) * ( var(il+1:ir+1,:,:) - & + var(il-1:ir-1,:,:) ) + & + a(2) * ( var(il+2:ir+2,:,:) - & + var(il-2:ir-2,:,:) ) + & + a(3) * ( var(il+3:ir+3,:,:) - & + var(il-3:ir-3,:,:) ) ) * idel + case (1) direction + if ( bb(1) == 0 ) then + jl = 1 + gsize + else + dvar(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) + & + q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) + & + q(5,1) * var(:,5,:) + q(6,1) * var(:,6,:) ) * idel + dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(3,2) * var(:,3,:) + & + q(4,2) * var(:,4,:) + q(5,2) * var(:,5,:) + & + q(6,2) * var(:,6,:) ) * idel + dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + & + q(4,3) * var(:,4,:) + q(5,3) * var(:,5,:) + & + q(6,3) * var(:,6,:) ) * idel + dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + & + q(3,4) * var(:,3,:) + q(5,4) * var(:,5,:) + & + q(6,4) * var(:,6,:) + q(7,4) * var(:,7,:) ) * idel + dvar(:,5,:) = ( q(1,5) * var(:,1,:) + q(2,5) * var(:,2,:) + & + q(3,5) * var(:,3,:) + q(4,5) * var(:,4,:) + & + q(6,5) * var(:,6,:) + q(7,5) * var(:,7,:) + & + q(8,5) * var(:,8,:) ) * idel + dvar(:,6,:) = ( q(1,6) * var(:,1,:) + q(2,6) * var(:,2,:) + & + q(3,6) * var(:,3,:) + q(4,6) * var(:,4,:) + & + q(5,6) * var(:,5,:) + q(7,6) * var(:,7,:) + & + q(8,6) * var(:,8,:) + q(9,6) * var(:,9,:) ) * idel + + jl = 7 + end if + if ( bb(2) == 0 ) then + jr = nj - gsize + else + dvar(:,nj-5,:) = - ( q(1,6) * var(:,nj,:) + q(2,6) * var(:,nj-1,:) + & + q(3,6) * var(:,nj-2,:) + q(4,6) * var(:,nj-3,:) + & + q(5,6) * var(:,nj-4,:) + q(7,6) * var(:,nj-6,:) + & + q(8,6) * var(:,nj-7,:) + & + q(9,6) * var(:,nj-8,:) ) * idel + dvar(:,nj-4,:) = - ( q(1,5) * var(:,nj,:) + q(2,5) * var(:,nj-1,:) + & + q(3,5) * var(:,nj-2,:) + q(4,5) * var(:,nj-3,:) + & + q(6,5) * var(:,nj-5,:) + q(7,5) * var(:,nj-6,:) + & + q(8,5) * var(:,nj-7,:) ) * idel + dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + & + q(3,4) * var(:,nj-2,:) + q(5,4) * var(:,nj-4,:) + & + q(6,4) * var(:,nj-5,:) + & + q(7,4) * var(:,nj-6,:) ) * idel + dvar(:,nj-2,:) = - ( q(1,3) * var(:,nj,:) + q(2,3) * var(:,nj-1,:) + & + q(4,3) * var(:,nj-3,:) + q(5,3) * var(:,nj-4,:) + & + q(6,3) * var(:,nj-5,:) ) * idel + dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(3,2) * var(:,nj-2,:) + & + q(4,2) * var(:,nj-3,:) + q(5,2) * var(:,nj-4,:) + & + q(6,2) * var(:,nj-5,:) ) * idel + dvar(:,nj,:) = - ( q(1,1) * var(:,nj,:) + q(2,1) * var(:,nj-1,:) + & + q(3,1) * var(:,nj-2,:) + q(4,1) * var(:,nj-3,:) + & + q(5,1) * var(:,nj-4,:) + & + q(6,1) * var(:,nj-5,:) ) * idel + + jr = nj - 6 + end if + dvar(:,jl:jr,:) = ( a(1) * ( var(:,jl+1:jr+1,:) - & + var(:,jl-1:jr-1,:) ) + & + a(2) * ( var(:,jl+2:jr+2,:) - & + var(:,jl-2:jr-2,:) ) + & + a(3) * ( var(:,jl+3:jr+3,:) - & + var(:,jl-3:jr-3,:) ) ) * idel + case (2) direction + if ( bb(1) == 0 ) then + kl = 1 + gsize + else + dvar(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + & + q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) + & + q(5,1) * var(:,:,5) + q(6,1) * var(:,:,6) ) * idel + dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(3,2) * var(:,:,3) + & + q(4,2) * var(:,:,4) + q(5,2) * var(:,:,5) + & + q(6,2) * var(:,:,6) ) * idel + dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + & + q(4,3) * var(:,:,4) + q(5,3) * var(:,:,5) + & + q(6,3) * var(:,:,6) ) * idel + dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + & + q(3,4) * var(:,:,3) + q(5,4) * var(:,:,5) + & + q(6,4) * var(:,:,6) + q(7,4) * var(:,:,7) ) * idel + dvar(:,:,5) = ( q(1,5) * var(:,:,1) + q(2,5) * var(:,:,2) + & + q(3,5) * var(:,:,3) + q(4,5) * var(:,:,4) + & + q(6,5) * var(:,:,6) + q(7,5) * var(:,:,7) + & + q(8,5) * var(:,:,8) ) * idel + dvar(:,:,6) = ( q(1,6) * var(:,:,1) + q(2,6) * var(:,:,2) + & + q(3,6) * var(:,:,3) + q(4,6) * var(:,:,4) + & + q(5,6) * var(:,:,5) + q(7,6) * var(:,:,7) + & + q(8,6) * var(:,:,8) + q(9,6) * var(:,:,9) ) * idel + + kl = 7 + end if + if ( bb(2) == 0 ) then + kr = nk - gsize + else + dvar(:,:,nk-5) = - ( q(1,6) * var(:,:,nk) + q(2,6) * var(:,:,nk-1) + & + q(3,6) * var(:,:,nk-2) + q(4,6) * var(:,:,nk-3) + & + q(5,6) * var(:,:,nk-4) + q(7,6) * var(:,:,nk-6) + & + q(8,6) * var(:,:,nk-7) + & + q(9,6) * var(:,:,nk-8) ) * idel + dvar(:,:,nk-4) = - ( q(1,5) * var(:,:,nk) + q(2,5) * var(:,:,nk-1) + & + q(3,5) * var(:,:,nk-2) + q(4,5) * var(:,:,nk-3) + & + q(6,5) * var(:,:,nk-5) + q(7,5) * var(:,:,nk-6) + & + q(8,5) * var(:,:,nk-7) ) * idel + dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + & + q(3,4) * var(:,:,nk-2) + q(5,4) * var(:,:,nk-4) + & + q(6,4) * var(:,:,nk-5) + & + q(7,4) * var(:,:,nk-6) ) * idel + dvar(:,:,nk-2) = - ( q(1,3) * var(:,:,nk) + q(2,3) * var(:,:,nk-1) + & + q(4,3) * var(:,:,nk-3) + q(5,3) * var(:,:,nk-4) + & + q(6,3) * var(:,:,nk-5) ) * idel + dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(3,2) * var(:,:,nk-2) + & + q(4,2) * var(:,:,nk-3) + q(5,2) * var(:,:,nk-4) + & + q(6,2) * var(:,:,nk-5) ) * idel + dvar(:,:,nk) = - ( q(1,1) * var(:,:,nk) + q(2,1) * var(:,:,nk-1) + & + q(3,1) * var(:,:,nk-2) + q(4,1) * var(:,:,nk-3) + & + q(5,1) * var(:,:,nk-4) + & + q(6,1) * var(:,:,nk-5) ) * idel + + kr = nk - 6 + end if + dvar(:,:,kl:kr) = ( a(1) * ( var(:,:,kl+1:kr+1) - & + var(:,:,kl-1:kr-1) ) + & + a(2) * ( var(:,:,kl+2:kr+2) - & + var(:,:,kl-2:kr-2) ) + & + a(3) * ( var(:,:,kl+3:kr+3) - & + var(:,:,kl-3:kr-3) ) ) * idel + end select direction +end subroutine deriv_gf_6_3_opt diff --git a/src/Dissipation_2_1.F90 b/src/Dissipation_2_1.F90 new file mode 100644 index 0000000..62ba030 --- /dev/null +++ b/src/Dissipation_2_1.F90 @@ -0,0 +1,137 @@ +! $Header$ + +#include "cctk.h" + +subroutine dissipation_2_1 (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(3,2) :: a + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + call set_coeff ( a ) + + idel = epsdis / 4 + + if ( bb(1) == 0 ) then + il = 1 + gsize(1) + else + rhs(1,:,:) = rhs(1,:,:) + & + ( a(1,1) * var(1,:,:) + a(2,1) * var(2,:,:) ) * idel + rhs(2,:,:) = rhs(2,:,:) + & + ( a(1,2) * var(1,:,:) + a(2,2) * var(2,:,:) + & + a(3,2) * var(3,:,:) ) * 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,:,:) ) * idel + rhs(ni,:,:) = rhs(ni,:,:) + & + ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) ) * idel + + ir = ni - 2 + end if + rhs(il:ir,:,:) = rhs(il:ir,:,:) + & + ( -2.0_wp * var(il:ir,:,:) + & + ( var(il-1:ir-1,:,:) + & + var(il+1:ir+1,:,:) ) ) * idel + + call set_coeff ( a ) + + idel = epsdis / 4 + + if ( bb(3) == 0 ) then + jl = 1 + gsize(2) + else + rhs(:,1,:) = rhs(:,1,:) + & + ( a(1,1) * var(:,1,:) + a(2,1) * var(:,2,:) ) * idel + rhs(:,2,:) = rhs(:,2,:) + & + ( a(1,2) * var(:,1,:) + a(2,2) * var(:,2,:) + & + a(3,2) * var(:,3,:) ) * 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,:) ) * idel + rhs(:,nj,:) = rhs(:,nj,:) + & + ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) ) * idel + + jr = nj - 2 + end if + rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + & + ( -2.0_wp * var(:,jl:jr,:) + & + ( var(:,jl-1:jr-1,:) + & + var(:,jl+1:jr+1,:) ) ) * idel + + call set_coeff ( a ) + + idel = epsdis / 4 + + if ( bb(5) == 0 ) then + kl = 1 + gsize(3) + else + rhs(:,:,1) = rhs(:,:,1) + & + ( a(1,1) * var(:,:,1) + a(2,1) * var(:,:,2) ) * idel + rhs(:,:,2) = rhs(:,:,2) + & + ( a(1,2) * var(:,:,1) + a(2,2) * var(:,:,2) + & + a(3,2) * var(:,:,3) ) * 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) ) * idel + rhs(:,:,nk) = rhs(:,:,nk) + & + ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) ) * idel + + kr = nk - 2 + end if + rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + & + ( -2.0_wp * var(:,:,kl:kr) + & + ( var(:,:,kl-1:kr-1) + & + var(:,:,kl+1:kr+1) ) ) * idel + +contains + + subroutine set_coeff ( a ) + + implicit none + + CCTK_REAL, dimension(3,2), intent(OUT) :: a + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + a(1,1) = -2.0_wp + a(2,1) = 2.0_wp + a(3,1) = 0.0_wp + a(1,2) = 1.0_wp + a(2,2) = -2.0_wp + a(3,2) = 1.0_wp + + end subroutine set_coeff + +end subroutine dissipation_2_1 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 diff --git a/src/Dissipation_6_3.F90 b/src/Dissipation_6_3.F90 new file mode 100644 index 0000000..4f35eec --- /dev/null +++ b/src/Dissipation_6_3.F90 @@ -0,0 +1,323 @@ +! $Header$ + +#include "cctk.h" + +subroutine dissipation_6_3 (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(9,6) :: a + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + call set_coeff ( a ) + + idel = epsdis / 64 + + 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,:,:) ) * 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,:,:) ) * 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,:,:) ) * idel + rhs(5,:,:) = rhs(5,:,:) + & + ( 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 + rhs(6,:,:) = rhs(6,:,:) + & + ( a(3,6) * var(3,:,:) + a(4,6) * var(4,:,:) + & + a(5,6) * var(5,:,:) + a(6,6) * var(6,:,:) + & + a(7,6) * var(7,:,:) + a(8,6) * var(8,:,:) + & + a(9,6) * var(9,:,:) ) * idel + + il = 7 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize(1) + else + rhs(ni-5,:,:) = rhs(ni-5,:,:) + & + ( a(3,6) * var(ni-2,:,:) + a(4,6) * var(ni-3,:,:) + & + a(5,6) * var(ni-4,:,:) + a(6,6) * var(ni-5,:,:) + & + a(7,6) * var(ni-6,:,:) + a(8,6) * var(ni-7,:,:) + & + a(9,6) * var(ni-8,:,:) ) * idel + rhs(ni-4,:,:) = rhs(ni-4,:,:) + & + ( a(2,5) * var(ni-1,:,:) + a(3,5) * var(ni-2,:,:) + & + a(4,5) * var(ni-3,:,:) + a(5,5) * var(ni-4,:,:) + & + a(6,5) * var(ni-5,:,:) + a(7,5) * var(ni-6,:,:) + & + a(8,5) * var(ni-7,:,:) ) * idel + rhs(ni-3,:,:) = rhs(ni-3,:,:) + & + ( a(1,4) * var(ni,:,:) + 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,:,:) + & + a(7,4) * var(ni-6,:,:) ) * 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,:,:) + a(6,3) * var(ni-5,:,:) ) * 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,:,:) + & + a(5,2) * var(ni-4,:,:) ) * idel + rhs(ni,:,:) = rhs(ni,:,:) + & + ( a(1,1) * var(ni,:,:) + a(2,1) * var(ni-1,:,:) + & + a(3,1) * var(ni-2,:,:) + a(4,1) * var(ni-3,:,:) ) * idel + + ir = ni - 6 + end if + rhs(il:ir,:,:) = rhs(il:ir,:,:) + & + ( -20.0_wp * var(il:ir,:,:) + & + 15.0_wp * ( var(il-1:ir-1,:,:) + & + var(il+1:ir+1,:,:) ) - & + 6.0_wp * ( var(il-2:ir-2,:,:) + & + var(il+2:ir+2,:,:) ) + & + ( var(il-3:ir-3,:,:) + & + var(il+3:ir+3,:,:) ) ) * idel + + call set_coeff ( a ) + + idel = epsdis / 64 + + 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,:) ) * 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,:) ) * 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,:) ) * idel + rhs(:,5,:) = rhs(:,5,:) + & + ( 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 + rhs(:,6,:) = rhs(:,6,:) + & + ( a(3,6) * var(:,3,:) + a(4,6) * var(:,4,:) + & + a(5,6) * var(:,5,:) + a(6,6) * var(:,6,:) + & + a(7,6) * var(:,7,:) + a(8,6) * var(:,8,:) + & + a(9,6) * var(:,9,:) ) * idel + + jl = 7 + end if + if ( bb(4) == 0 ) then + jr = nj - gsize(2) + else + rhs(:,nj-5,:) = rhs(:,nj-5,:) + & + ( a(3,6) * var(:,nj-2,:) + a(4,6) * var(:,nj-3,:) + & + a(5,6) * var(:,nj-4,:) + a(6,6) * var(:,nj-5,:) + & + a(7,6) * var(:,nj-6,:) + a(8,6) * var(:,nj-7,:) + & + a(9,6) * var(:,nj-8,:) ) * idel + rhs(:,nj-4,:) = rhs(:,nj-4,:) + & + ( a(2,5) * var(:,nj-1,:) + a(3,5) * var(:,nj-2,:) + & + a(4,5) * var(:,nj-3,:) + a(5,5) * var(:,nj-4,:) + & + a(6,5) * var(:,nj-5,:) + a(7,5) * var(:,nj-6,:) + & + a(8,5) * var(:,nj-7,:) ) * idel + rhs(:,nj-3,:) = rhs(:,nj-3,:) + & + ( a(1,4) * var(:,nj,:) + 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,:) + & + a(7,4) * var(:,nj-6,:) ) * 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,:) + a(6,3) * var(:,nj-5,:) ) * 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,:) + & + a(5,2) * var(:,nj-4,:) ) * idel + rhs(:,nj,:) = rhs(:,nj,:) + & + ( a(1,1) * var(:,nj,:) + a(2,1) * var(:,nj-1,:) + & + a(3,1) * var(:,nj-2,:) + a(4,1) * var(:,nj-3,:) ) * idel + + jr = nj - 6 + end if + rhs(:,jl:jr,:) = rhs(:,jl:jr,:) + & + ( -20.0_wp * var(:,jl:jr,:) + & + 15.0_wp * ( var(:,jl-1:jr-1,:) + & + var(:,jl+1:jr+1,:) ) - & + 6.0_wp * ( var(:,jl-2:jr-2,:) + & + var(:,jl+2:jr+2,:) ) + & + ( var(:,jl-3:jr-3,:) + & + var(:,jl+3:jr+3,:) ) ) * idel + + call set_coeff ( a ) + + idel = epsdis / 64 + + 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) ) * 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) ) * 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) ) * idel + rhs(:,:,5) = rhs(:,:,5) + & + ( 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 + rhs(:,:,6) = rhs(:,:,6) + & + ( a(3,6) * var(:,:,3) + a(4,6) * var(:,:,4) + & + a(5,6) * var(:,:,5) + a(6,6) * var(:,:,6) + & + a(7,6) * var(:,:,7) + a(8,6) * var(:,:,8) + & + a(9,6) * var(:,:,9) ) * idel + + kl = 7 + end if + if ( bb(6) == 0 ) then + kr = nk - gsize(3) + else + rhs(:,:,nk-5) = rhs(:,:,nk-5) + & + ( a(3,6) * var(:,:,nk-2) + a(4,6) * var(:,:,nk-3) + & + a(5,6) * var(:,:,nk-4) + a(6,6) * var(:,:,nk-5) + & + a(7,6) * var(:,:,nk-6) + a(8,6) * var(:,:,nk-7) + & + a(9,6) * var(:,:,nk-8) ) * idel + rhs(:,:,nk-4) = rhs(:,:,nk-4) + & + ( a(2,5) * var(:,:,nk-1) + a(3,5) * var(:,:,nk-2) + & + a(4,5) * var(:,:,nk-3) + a(5,5) * var(:,:,nk-4) + & + a(6,5) * var(:,:,nk-5) + a(7,5) * var(:,:,nk-6) + & + a(8,5) * var(:,:,nk-7) ) * idel + rhs(:,:,nk-3) = rhs(:,:,nk-3) + & + ( a(1,4) * var(:,:,nk) + 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) + & + a(7,4) * var(:,:,nk-6) ) * 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) + a(6,3) * var(:,:,nk-5) ) * 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) + & + a(5,2) * var(:,:,nk-4) ) * idel + rhs(:,:,nk) = rhs(:,:,nk) + & + ( a(1,1) * var(:,:,nk) + a(2,1) * var(:,:,nk-1) + & + a(3,1) * var(:,:,nk-2) + a(4,1) * var(:,:,nk-3) ) * idel + + kr = nk - 6 + end if + rhs(:,:,kl:kr) = rhs(:,:,kl:kr) + & + ( -20.0_wp * var(:,:,kl:kr) + & + 15.0_wp * ( var(:,:,kl-1:kr-1) + & + var(:,:,kl+1:kr+1) ) - & + 6.0_wp * ( var(:,:,kl-2:kr-2) + & + var(:,:,kl+2:kr+2) ) + & + ( var(:,:,kl-3:kr-3) + & + var(:,:,kl+3:kr+3) ) ) * idel + +contains + + subroutine set_coeff ( a ) + + implicit none + + CCTK_REAL, dimension(9,6), intent(OUT) :: a + CCTK_REAL :: zero = 0.0 + integer, parameter :: wp = kind(zero) + + a(1,1) = -3.1650670378782328375705179866656897941241116565316_wp + a(2,1) = 9.4952011136346985127115539599970693823723349695948_wp + a(3,1) = -9.4952011136346985127115539599970693823723349695948_wp + a(4,1) = 3.1650670378782328375705179866656897941241116565316_wp + a(5,1) = 0.0_wp + a(6,1) = 0.0_wp + a(7,1) = 0.0_wp + a(8,1) = 0.0_wp + a(9,1) = 0.0_wp + a(1,2) = 2.1576625322567218846249895946058436693581952884375_wp + a(2,2) = -7.1922084408557396154166319820194788978606509614584_wp + a(3,2) = 8.6306501290268875384999583784233746774327811537501_wp + a(4,2) = -4.3153250645134437692499791892116873387163905768751_wp + a(5,2) = 0.71922084408557396154166319820194788978606509614584_wp + a(6,2) = 0.0_wp + a(7,2) = 0.0_wp + a(8,2) = 0.0_wp + a(9,2) = 0.0_wp + a(1,3) = -4.7805237919586868314275175212098856510512725931391_wp + a(2,3) = 19.122095167834747325710070084839542604205090372556_wp + a(3,3) = -30.276650682405016599040944300995942456658059756547_wp + a(4,3) = 23.902618959793434157137587606049428255256362965695_wp + a(5,3) = -9.5610475839173736628550350424197713021025451862781_wp + a(6,3) = 1.5935079306528956104758391737366285503504241977130_wp + a(7,3) = 0.0_wp + a(8,3) = 0.0_wp + a(9,3) = 0.0_wp + a(1,4) = 0.80612054487777570442246687814890837842881134540026_wp + a(2,4) = -4.8367232692666542265348012688934502705728680724016_wp + a(3,4) = 12.091808173166635566337003172233625676432170181004_wp + a(4,4) = -16.122410897555514088449337562978167568576226908005_wp + a(5,4) = 12.091808173166635566337003172233625676432170181004_wp + a(6,4) = -4.8367232692666542265348012688934502705728680724016_wp + a(7,4) = 0.80612054487777570442246687814890837842881134540026_wp + a(8,4) = 0.0_wp + a(9,4) = 0.0_wp + a(1,5) = 0.0_wp + a(2,5) = 1.0968642884346832550463374381109559476958232829758_wp + a(3,5) = -6.5811857306080995302780246286657356861749396978545_wp + a(4,5) = 16.452964326520248825695061571664339215437349244636_wp + a(5,5) = -21.937285768693665100926748762219118953916465659515_wp + a(6,5) = 16.452964326520248825695061571664339215437349244636_wp + a(7,5) = -6.5811857306080995302780246286657356861749396978545_wp + a(8,5) = 1.0968642884346832550463374381109559476958232829758_wp + a(9,5) = 0.0_wp + a(1,6) = 0.0_wp + a(2,6) = 0.0_wp + a(3,6) = 0.98627885208100271683294901942878016483641925983425_wp + a(4,6) = -5.9176731124860163009976941165726809890185155590055_wp + a(5,6) = 14.794182781215040752494235291431702472546288897514_wp + a(6,6) = -19.725577041620054336658980388575603296728385196685_wp + a(7,6) = 14.794182781215040752494235291431702472546288897514_wp + a(8,6) = -5.9176731124860163009976941165726809890185155590055_wp + a(9,6) = 0.98627885208100271683294901942878016483641925983425_wp + + end subroutine set_coeff + +end subroutine dissipation_6_3 diff --git a/src/call_derivs.c b/src/call_derivs.c index 7d69c6d..25db68e 100644 --- a/src/call_derivs.c +++ b/src/call_derivs.c @@ -63,6 +63,15 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir, const CCTK_INT *gsize, const CCTK_REAL *delta, CCTK_REAL *dvar); + void CCTK_FCALL CCTK_FNAME(deriv_gf_6_3_opt)(const CCTK_REAL *var, + const CCTK_INT *ni, + const CCTK_INT *nj, + const CCTK_INT *nk, + const CCTK_INT *dir, + const CCTK_INT *bb, + const CCTK_INT *gsize, + const CCTK_REAL *delta, + CCTK_REAL *dvar); void CCTK_FCALL CCTK_FNAME(deriv_gf_6_5)(const CCTK_REAL *var, const CCTK_INT *ni, const CCTK_INT *nj, @@ -161,6 +170,10 @@ void DiffGv ( const CCTK_POINTER_TO_CONST cctkGH_, const CCTK_INT dir, } } else { switch(loc_order) { + case 6: { + CCTK_FNAME(deriv_gf_6_3_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar); + break; + } case 8: { CCTK_FNAME(deriv_gf_8_4_opt)(var,&ni,&nj,&nk,&dir,bb,&gsize,&delta,dvar); break; diff --git a/src/dissipation.c b/src/dissipation.c index 2b28950..6426431 100644 --- a/src/dissipation.c +++ b/src/dissipation.c @@ -27,6 +27,33 @@ void CCTK_FCALL CCTK_FNAME(dissipation_6_5_opt) (const CCTK_REAL *var, const CCTK_REAL *epsdis, const CCTK_REAL *diss_fraction, CCTK_REAL *rhs); +void CCTK_FCALL CCTK_FNAME(dissipation_2_1) (const CCTK_REAL *var, + const CCTK_INT *ni, + const CCTK_INT *nj, + const CCTK_INT *nk, + const CCTK_INT *bbox, + const CCTK_INT *gsize, + const CCTK_REAL *dx, + const CCTK_REAL *epsdis, + CCTK_REAL *rhs); +void CCTK_FCALL CCTK_FNAME(dissipation_4_2) (const CCTK_REAL *var, + const CCTK_INT *ni, + const CCTK_INT *nj, + const CCTK_INT *nk, + const CCTK_INT *bbox, + const CCTK_INT *gsize, + const CCTK_REAL *dx, + const CCTK_REAL *epsdis, + CCTK_REAL *rhs); +void CCTK_FCALL CCTK_FNAME(dissipation_6_3) (const CCTK_REAL *var, + const CCTK_INT *ni, + const CCTK_INT *nj, + const CCTK_INT *nk, + const CCTK_INT *bbox, + const CCTK_INT *gsize, + const CCTK_REAL *dx, + const CCTK_REAL *epsdis, + CCTK_REAL *rhs); void CCTK_FCALL CCTK_FNAME(dissipation_8_4) (const CCTK_REAL *var, const CCTK_INT *ni, const CCTK_INT *nj, @@ -124,6 +151,24 @@ apply (int const varindex, char const * const optstring, void * const arg) if ( CCTK_Equals(norm_type,"Diagonal") ) { switch(order) { + case 2: { + CCTK_FNAME(dissipation_2_1) + (varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2], + bbox, gsize, dx, &epsdis, rhsptr); + break; + } + case 4: { + CCTK_FNAME(dissipation_4_2) + (varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2], + bbox, gsize, dx, &epsdis, rhsptr); + break; + } + case 6: { + CCTK_FNAME(dissipation_6_3) + (varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2], + bbox, gsize, dx, &epsdis, rhsptr); + break; + } case 8: { CCTK_FNAME(dissipation_8_4) (varptr, &cctk_lsh[0], &cctk_lsh[1], &cctk_lsh[2], diff --git a/src/make.code.defn b/src/make.code.defn index c113cfe..cad8b2e 100644 --- a/src/make.code.defn +++ b/src/make.code.defn @@ -7,6 +7,7 @@ SRCS = call_derivs.c \ Derivatives_2_1.F90 \ Derivatives_4_2.F90 \ Derivatives_6_3.F90 \ + Derivatives_6_3_min_err_coeff.F90 \ Derivatives_8_4.F90 \ Derivatives_8_4_min_err_coeff.F90 \ Derivatives_4_3.F90 \ @@ -17,8 +18,11 @@ SRCS = call_derivs.c \ set_norm_mask.F90 \ CheckGridSizes.F90 \ dissipation.c \ - Dissipation_4_3_min_err_coeff.F90 \ + Dissipation_2_1.F90 \ + Dissipation_4_2.F90 \ + Dissipation_6_3.F90 \ Dissipation_8_4.F90 \ + Dissipation_4_3_min_err_coeff.F90 \ Dissipation_6_5.F90 \ Dissipation_6_5_min_err_coeff.F90 \ get_coeffs.c \ -- cgit v1.2.3