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Diffstat (limited to 'src/Derivatives_4_3_min_err_coeff.F90')
| -rw-r--r-- | src/Derivatives_4_3_min_err_coeff.F90 | 235 |
1 files changed, 235 insertions, 0 deletions
diff --git a/src/Derivatives_4_3_min_err_coeff.F90 b/src/Derivatives_4_3_min_err_coeff.F90 new file mode 100644 index 0000000..938c4bc --- /dev/null +++ b/src/Derivatives_4_3_min_err_coeff.F90 @@ -0,0 +1,235 @@ +#include "cctk.h" +#include "cctk_Functions.h" +#include "cctk_Parameters.h" + +subroutine deriv_gf_4_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(2), save :: a + CCTK_REAL, dimension(7,5), save :: q + CCTK_REAL :: idel + + CCTK_INT :: il, ir, jl, jr, kl, kr + + logical, save :: first = .true. + + if ( first ) then + a(1) = 2.0_wp/3.0_wp; a(2) = -1.0_wp/12.0_wp + + q(1,1) = -2.09329763466349871588733_wp + q(2,1) = 4.0398572053206615302160_wp + q(3,1) = -3.0597858079809922953240_wp + q(4,1) = 1.37319053865399486354933_wp + q(5,1) = -0.25996430133016538255400_wp + q(6,1) = 0_wp + q(7,1) = 0_wp + q(1,2) = -0.31641585285940445272297_wp + q(2,2) = -0.53930788973980422327388_wp + q(3,2) = 0.98517732028644343383297_wp + q(4,2) = -0.05264665989297578146709_wp + q(5,2) = -0.113807251750624235013258_wp + q(6,2) = 0.039879767889849911803103_wp + q(7,2) = -0.0028794339334846531588787_wp + q(1,3) = 0.13026916185021164524452_wp + q(2,3) = -0.87966858995059249256890_wp + q(3,3) = 0.38609640961100070000134_wp + q(4,3) = 0.31358369072435588745988_wp + q(5,3) = 0.085318941913678384633511_wp + q(6,3) = -0.039046615792734640274641_wp + q(7,3) = 0.0034470016440805155042908_wp + q(1,4) = -0.01724512193824647912172_wp + q(2,4) = 0.16272288227127504381134_wp + q(3,4) = -0.81349810248648813029217_wp + q(4,4) = 0.13833269266479833215645_wp + q(5,4) = 0.59743854328548053399616_wp + q(6,4) = -0.066026434346299887619324_wp + q(7,4) = -0.0017244594505194129307249_wp + q(1,5) = -0.00883569468552192965061_wp + q(2,5) = 0.03056074759203203857284_wp + q(3,5) = 0.05021168274530854232278_wp + q(4,5) = -0.66307364652444929534068_wp + q(5,5) = 0.014878787464005191116088_wp + q(6,5) = 0.65882706381707471953820_wp + q(7,5) = -0.082568940408449266558615_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,:,:) ) * idel + dvar(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + & + q(3,2) * var(3,:,:) + q(4,2) * var(4,:,:) + & + q(5,2) * var(5,:,:) + q(6,2) * var(6,:,:) + & + q(7,2) * var(7,:,:) ) * idel + dvar(3,:,:) = ( q(1,3) * var(1,:,:) + q(2,3) * var(2,:,:) + & + q(3,3) * var(3,:,:) + q(4,3) * var(4,:,:) + & + q(5,3) * var(5,:,:) + q(6,3) * var(6,:,:) + & + q(7,3) * var(7,:,:) ) * idel + dvar(4,:,:) = ( q(1,4) * var(1,:,:) + q(2,4) * var(2,:,:) + & + q(3,4) * var(3,:,:) + q(4,4) * var(4,:,:) + & + 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(5,5) * var(5,:,:) + q(6,5) * var(6,:,:) + & + q(7,5) * var(7,:,:) ) * idel + il = 6 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize + else + 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(5,5) * var(ni-4,:,:) + q(6,5) * var(ni-5,:,:) + & + q(7,5) * var(ni-6,:,:) ) * idel + dvar(ni-3,:,:) = - ( q(1,4) * var(ni,:,:) + q(2,4) * var(ni-1,:,:) + & + q(3,4) * var(ni-2,:,:) + q(4,4) * var(ni-3,:,:) + & + 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(3,3) * var(ni-2,:,:) + q(4,3) * var(ni-3,:,:) + & + q(5,3) * var(ni-4,:,:) + q(6,3) * var(ni-5,:,:) + & + q(7,3) * var(ni-6,:,:) ) * idel + dvar(ni-1,:,:) = - ( q(1,2) * var(ni,:,:) + q(2,2) * var(ni-1,:,:) + & + q(3,2) * var(ni-2,:,:) + q(4,2) * var(ni-3,:,:) + & + q(5,2) * var(ni-4,:,:) + q(6,2) * var(ni-5,:,:) + & + q(7,2) * var(ni-6,:,:) ) * 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,:,:) ) * idel + ir = ni - 5 + 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,:,:) ) ) * 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,:) ) * idel + dvar(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + & + q(3,2) * var(:,3,:) + q(4,2) * var(:,4,:) + & + q(5,2) * var(:,5,:) + q(6,2) * var(:,6,:) + & + q(7,2) * var(:,7,:) ) * idel + dvar(:,3,:) = ( q(1,3) * var(:,1,:) + q(2,3) * var(:,2,:) + & + q(3,3) * var(:,3,:) + q(4,3) * var(:,4,:) + & + q(5,3) * var(:,5,:) + q(6,3) * var(:,6,:) + & + q(7,3) * var(:,7,:) ) * idel + dvar(:,4,:) = ( q(1,4) * var(:,1,:) + q(2,4) * var(:,2,:) + & + q(3,4) * var(:,3,:) + q(4,4) * var(:,4,:) + & + 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(5,5) * var(:,5,:) + q(6,5) * var(:,6,:) + & + q(7,5) * var(:,7,:) ) * idel + jl = 6 + end if + if ( bb(2) == 0 ) then + jr = nj - gsize + else + 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(5,5) * var(:,nj-4,:) + q(6,5) * var(:,nj-5,:) + & + q(7,5) * var(:,nj-6,:) ) * idel + dvar(:,nj-3,:) = - ( q(1,4) * var(:,nj,:) + q(2,4) * var(:,nj-1,:) + & + q(3,4) * var(:,nj-2,:) + q(4,4) * var(:,nj-3,:) + & + 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(3,3) * var(:,nj-2,:) + q(4,3) * var(:,nj-3,:) + & + q(5,3) * var(:,nj-4,:) + q(6,3) * var(:,nj-5,:) + & + q(7,3) * var(:,nj-6,:) ) * idel + dvar(:,nj-1,:) = - ( q(1,2) * var(:,nj,:) + q(2,2) * var(:,nj-1,:) + & + q(3,2) * var(:,nj-2,:) + q(4,2) * var(:,nj-3,:) + & + q(5,2) * var(:,nj-4,:) + q(6,2) * var(:,nj-5,:) + & + q(7,2) * var(:,nj-6,:) ) * 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,:) ) * idel + jr = nj - 5 + 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,:) ) ) * 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) ) * idel + dvar(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + & + q(3,2) * var(:,:,3) + q(4,2) * var(:,:,4) + & + q(5,2) * var(:,:,5) + q(6,2) * var(:,:,6) + & + q(7,2) * var(:,:,7) ) * idel + dvar(:,:,3) = ( q(1,3) * var(:,:,1) + q(2,3) * var(:,:,2) + & + q(3,3) * var(:,:,3) + q(4,3) * var(:,:,4) + & + q(5,3) * var(:,:,5) + q(6,3) * var(:,:,6) + & + q(7,3) * var(:,:,7) ) * idel + dvar(:,:,4) = ( q(1,4) * var(:,:,1) + q(2,4) * var(:,:,2) + & + q(3,4) * var(:,:,3) + q(4,4) * var(:,:,4) + & + 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(5,5) * var(:,:,5) + q(6,5) * var(:,:,6) + & + q(7,5) * var(:,:,7) ) * idel + kl = 6 + end if + if ( bb(2) == 0 ) then + kr = nk - gsize + else + 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(5,5) * var(:,:,nk-4) + q(6,5) * var(:,:,nk-5) + & + q(7,5) * var(:,:,nk-6) ) * idel + dvar(:,:,nk-3) = - ( q(1,4) * var(:,:,nk) + q(2,4) * var(:,:,nk-1) + & + q(3,4) * var(:,:,nk-2) + q(4,4) * var(:,:,nk-3) + & + 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(3,3) * var(:,:,nk-2) + q(4,3) * var(:,:,nk-3) + & + q(5,3) * var(:,:,nk-4) + q(6,3) * var(:,:,nk-5) + & + q(7,3) * var(:,:,nk-6) ) * idel + dvar(:,:,nk-1) = - ( q(1,2) * var(:,:,nk) + q(2,2) * var(:,:,nk-1) + & + q(3,2) * var(:,:,nk-2) + q(4,2) * var(:,:,nk-3) + & + q(5,2) * var(:,:,nk-4) + q(6,2) * var(:,:,nk-5) + & + q(7,2) * var(:,:,nk-6) ) * 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) ) * idel + kr = nk - 5 + 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) ) ) * idel + end select direction +end subroutine deriv_gf_4_3_opt |