#include "cctk.h" #include "cctk_Functions.h" #include "cctk_Parameters.h" subroutine deriv_gf_6_3 ( 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) = -21600.0_wp/13649.0_wp; q(2,1) = 81763.0_wp/40947.0_wp q(3,1) = 131.0_wp/27298.0_wp; q(4,1) = -9143.0_wp/13649.0_wp q(5,1) = 20539.0_wp/81894.0_wp; q(6,1) = zero; q(7,1) = zero; q(8,1) = zero; q(9,1) = zero q(1,2) = -81763.0_wp/180195.0_wp; q(2,2) = zero q(3,2) = 7357.0_wp/36039.0_wp; q(4,2) = 30637.0_wp/72078.0_wp q(5,2) = -2328.0_wp/12013.0_wp; q(6,2) = 6611.0_wp/360390.0_wp q(7,2) = zero; q(8,2) = zero; q(9,2) = zero q(1,3) = -131.0_wp/54220.0_wp; q(2,3) = -7357.0_wp/16266.0_wp q(3,3) = zero; q(4,3) = 645.0_wp/2711.0_wp q(5,3) = 11237.0_wp/32532.0_wp; q(6,3) = -3487.0_wp/27110.0_wp q(7,3) = zero; q(8,3) = zero; q(9,3) = zero q(1,4) = 9143.0_wp/53590.0_wp; q(2,4) = -30637.0_wp/64308.0_wp q(3,4) = -645.0_wp/5359.0_wp; q(4,4) = zero q(5,4) = 13733.0_wp/32154.0_wp; q(6,4) = -67.0_wp/4660.0_wp q(7,4) = 72.0_wp/5359.0_wp; q(8,4) = zero; q(9,4) = zero; q(1,5) = -20539.0_wp/236310.0_wp; q(2,5) = 2328.0_wp/7877.0_wp q(3,5) = -11237.0_wp/47262.0_wp; q(4,5) = -13733.0_wp/23631.0_wp q(5,5) = zero; q(6,5) = 89387.0_wp/118155.0_wp q(7,5) = -1296.0_wp/7877.0_wp; q(8,5) = 144.0_wp/7877.0_wp; q(9,5) = zero q(1,6) = zero; q(2,6) = -6611.0_wp/262806.0_wp q(3,6) = 3487.0_wp/43801.0_wp; q(4,6) = 1541.0_wp/87602.0_wp q(5,6) = -89387.0_wp/131403.0_wp; q(6,6) = zero q(7,6) = 32400.0_wp/43801.0_wp; q(8,6) = -6480.0_wp/43801.0_wp q(9,6) = 720.0_wp/43801.0_wp first = .false. end if idel = 1.0_wp / delta if (gsize < 3) call CCTK_WARN (0, "not enough ghostzones") 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(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(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,:,:) = - ( 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 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-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-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-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-5,:,:) = - ( 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 ir = ni - 6 end if if (il > ir+1) call CCTK_WARN (0, "domain too small") 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 ( zero_derivs_y /= 0 ) then dvar = zero else 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(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(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,:) = - ( 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 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-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-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-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-5,:) = - ( 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 jr = nj - 6 end if if (jl > jr+1) call CCTK_WARN (0, "domain too small") 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 end if case (2) direction if ( zero_derivs_z /= 0 ) then dvar = zero else 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(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(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) = - ( 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 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-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-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-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-5) = - ( 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 kr = nk - 6 end if if (kl > kr+1) call CCTK_WARN (0, "domain too small") 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 if end select direction end subroutine deriv_gf_6_3