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Diffstat (limited to 'src/Derivatives2_4_2_min_err_coeff.F90')
| -rw-r--r-- | src/Derivatives2_4_2_min_err_coeff.F90 | 177 |
1 files changed, 177 insertions, 0 deletions
diff --git a/src/Derivatives2_4_2_min_err_coeff.F90 b/src/Derivatives2_4_2_min_err_coeff.F90 new file mode 100644 index 0000000..ed3d81f --- /dev/null +++ b/src/Derivatives2_4_2_min_err_coeff.F90 @@ -0,0 +1,177 @@ +#include "cctk.h" +#include "cctk_Functions.h" +#include "cctk_Parameters.h" + +subroutine deriv2_gf_4_2_opt ( var, ni, nj, nk, dir, bb, gsize, delta, dvar2 ) + + use All_Coeffs_mod + + implicit none + + DECLARE_CCTK_FUNCTIONS + DECLARE_CCTK_PARAMETERS + + 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) :: dvar2 + + CCTK_REAL, dimension(3), save :: a + CCTK_REAL, dimension(6,4), save :: q + CCTK_REAL :: idel2 + + CCTK_INT :: il, ir, jl, jr, kl, kr + + logical, save :: first = .true. + + if ( first ) then + call coeffs_2_4_2_opt ( a, q ) + first = .false. + end if + + idel2 = 1.0_wp / delta**2 + + direction: select case (dir) + case (0) direction + if ( bb(1) == 0 ) then + il = 1 + gsize + else + dvar2(1,:,:) = ( q(1,1) * var(1,:,:) + q(2,1) * var(2,:,:) + & + q(3,1) * var(3,:,:) + q(4,1) * var(4,:,:) ) * idel2 + dvar2(2,:,:) = ( q(1,2) * var(1,:,:) + q(2,2) * var(2,:,:) + & + q(3,2) * var(3,:,:) ) * idel2 + dvar2(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,:,:) ) * idel2 + dvar2(4,:,:) = ( q(1,4) * var(1,:,:) + q(3,4) * var(3,:,:) + & + q(4,4) * var(4,:,:) + q(5,4) * var(5,:,:) + & + q(6,4) * var(6,:,:) ) * idel2 + il = 5 + end if + if ( bb(2) == 0 ) then + ir = ni - gsize + else + dvar2(ni-3,:,:) = ( q(1,4) * var(ni,:,:) + & + q(3,4) * var(ni-2,:,:) + & + q(4,4) * var(ni-3,:,:) + & + q(5,4) * var(ni-4,:,:) + & + q(6,4) * var(ni-5,:,:) ) * idel2 + dvar2(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,:,:) ) * idel2 + dvar2(ni-1,:,:) = ( q(1,2) * var(ni,:,:) + & + q(2,2) * var(ni-1,:,:) + & + q(3,2) * var(ni-2,:,:) ) * idel2 + dvar2(ni,:,:) = ( q(1,1) * var(ni,:,:) + & + q(2,1) * var(ni-1,:,:) + & + q(3,1) * var(ni-2,:,:) + & + q(4,1) * var(ni-3,:,:) ) * idel2 + ir = ni - 4 + end if + dvar2(il:ir,:,:) = ( a(1) * var(il:ir,:,:) + & + a(2) * ( var(il+1:ir+1,:,:) + & + var(il-1:ir-1,:,:) ) + & + a(3) * ( var(il+2:ir+2,:,:) + & + var(il-2:ir-2,:,:) ) ) * idel2 + case (1) direction + if ( zero_derivs_y /= 0 ) then + dvar2 = zero + else + if ( bb(1) == 0 ) then + jl = 1 + gsize + else + dvar2(:,1,:) = ( q(1,1) * var(:,1,:) + q(2,1) * var(:,2,:) + & + q(3,1) * var(:,3,:) + q(4,1) * var(:,4,:) ) * idel2 + dvar2(:,2,:) = ( q(1,2) * var(:,1,:) + q(2,2) * var(:,2,:) + & + q(3,2) * var(:,3,:) ) * idel2 + dvar2(:,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,:) ) * idel2 + dvar2(:,4,:) = ( q(1,4) * var(:,1,:) + q(3,4) * var(:,3,:) + & + q(4,4) * var(:,4,:) + q(5,4) * var(:,5,:) + & + q(6,4) * var(:,6,:) ) * idel2 + jl = 5 + end if + if ( bb(2) == 0 ) then + jr = nj - gsize + else + dvar2(:,nj-3,:) = ( q(1,4) * var(:,nj,:) + & + q(3,4) * var(:,nj-2,:) + & + q(4,4) * var(:,nj-3,:) + & + q(5,4) * var(:,nj-4,:) + & + q(6,4) * var(:,nj-5,:) ) * idel2 + dvar2(:,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,:) ) * idel2 + dvar2(:,nj-1,:) = ( q(1,2) * var(:,nj,:) + & + q(2,2) * var(:,nj-1,:) + & + q(3,2) * var(:,nj-2,:) ) * idel2 + dvar2(:,nj,:) = ( q(1,1) * var(:,nj,:) + & + q(2,1) * var(:,nj-1,:) + & + q(3,1) * var(:,nj-2,:) + & + q(4,1) * var(:,nj-3,:) ) * idel2 + jr = nj - 4 + end if + dvar2(:,jl:jr,:) = ( a(1) * var(:,jl:jr,:) + & + a(2) * ( var(:,jl+1:jr+1,:) + & + var(:,jl-1:jr-1,:) ) + & + a(3) * ( var(:,jl+2:jr+2,:) + & + var(:,jl-2:jr-2,:) ) ) * idel2 + + end if + case (2) direction + if ( zero_derivs_z /= 0 ) then + dvar2 = zero + else + if ( bb(1) == 0 ) then + kl = 1 + gsize + else + dvar2(:,:,1) = ( q(1,1) * var(:,:,1) + q(2,1) * var(:,:,2) + & + q(3,1) * var(:,:,3) + q(4,1) * var(:,:,4) ) * idel2 + dvar2(:,:,2) = ( q(1,2) * var(:,:,1) + q(2,2) * var(:,:,2) + & + q(3,2) * var(:,:,3) ) * idel2 + dvar2(:,:,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) ) * idel2 + dvar2(:,:,4) = ( q(1,4) * var(:,:,1) + q(3,4) * var(:,:,3) + & + q(4,4) * var(:,:,4) + q(5,4) * var(:,:,5) + & + q(6,4) * var(:,:,6) ) * idel2 + kl = 5 + end if + if ( bb(2) == 0 ) then + kr = nk - gsize + else + dvar2(:,:,nk-3) = ( q(1,4) * var(:,:,nk) + & + q(3,4) * var(:,:,nk-2) + & + q(4,4) * var(:,:,nk-3) + & + q(5,4) * var(:,:,nk-4) + & + q(6,4) * var(:,:,nk-5) ) * idel2 + dvar2(:,:,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) ) * idel2 + dvar2(:,:,nk-1) = ( q(1,2) * var(:,:,nk) + & + q(2,2) * var(:,:,nk-1) + & + q(3,2) * var(:,:,nk-2) ) * idel2 + dvar2(:,:,nk) = ( q(1,1) * var(:,:,nk) + & + q(2,1) * var(:,:,nk-1) + & + q(3,1) * var(:,:,nk-2) + & + q(4,1) * var(:,:,nk-3) ) * idel2 + kr = nk - 4 + end if + dvar2(:,:,kl:kr) = ( a(1) * var(:,:,kl:kr) + & + a(2) * ( var(:,:,kl+1:kr+1) + & + var(:,:,kl-1:kr-1) ) + & + a(3) * ( var(:,:,kl+2:kr+2) + & + var(:,:,kl-2:kr-2) ) ) * idel2 + end if + end select direction +end subroutine deriv2_gf_4_2_opt |