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Diffstat (limited to 'src/Dissipation_6_3.F90')
| -rw-r--r-- | src/Dissipation_6_3.F90 | 323 |
1 files changed, 323 insertions, 0 deletions
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 |