[1873] | 1 | !> @file diffusion_s.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[2696] | 3 | ! This file is part of the PALM model system. |
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[1036] | 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1036] | 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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[3655] | 17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[484] | 20 | ! Current revisions: |
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[1001] | 21 | ! ------------------ |
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[1341] | 22 | ! |
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[2233] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_s.f90 4329 2019-12-10 15:46:36Z suehring $ |
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[4329] | 27 | ! Renamed wall_flags_0 to wall_flags_static_0 |
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| 28 | ! |
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| 29 | ! 4182 2019-08-22 15:20:23Z scharf |
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[4182] | 30 | ! Corrected "Former revisions" section |
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| 31 | ! |
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| 32 | ! 3927 2019-04-23 13:24:29Z raasch |
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[3927] | 33 | ! pointer attribute removed from scalar 3d-array for performance reasons |
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| 34 | ! |
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| 35 | ! 3761 2019-02-25 15:31:42Z raasch |
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[3761] | 36 | ! unused variables removed |
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| 37 | ! |
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| 38 | ! 3655 2019-01-07 16:51:22Z knoop |
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[3636] | 39 | ! nopointer option removed |
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[1321] | 40 | ! |
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[4182] | 41 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 42 | ! Initial revision |
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| 43 | ! |
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| 44 | ! |
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[1] | 45 | ! Description: |
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| 46 | ! ------------ |
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[1682] | 47 | !> Diffusion term of scalar quantities (temperature and water content) |
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[1] | 48 | !------------------------------------------------------------------------------! |
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[1682] | 49 | MODULE diffusion_s_mod |
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| 50 | |
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[1] | 51 | |
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| 52 | PRIVATE |
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[2118] | 53 | PUBLIC diffusion_s |
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[1] | 54 | |
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| 55 | INTERFACE diffusion_s |
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| 56 | MODULE PROCEDURE diffusion_s |
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| 57 | MODULE PROCEDURE diffusion_s_ij |
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| 58 | END INTERFACE diffusion_s |
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| 59 | |
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| 60 | CONTAINS |
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| 61 | |
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| 62 | |
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| 63 | !------------------------------------------------------------------------------! |
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[1682] | 64 | ! Description: |
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| 65 | ! ------------ |
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| 66 | !> Call for all grid points |
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[1] | 67 | !------------------------------------------------------------------------------! |
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[2232] | 68 | SUBROUTINE diffusion_s( s, s_flux_def_h_up, s_flux_def_h_down, & |
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| 69 | s_flux_t, & |
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| 70 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
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| 71 | s_flux_def_v_north, s_flux_def_v_south, & |
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| 72 | s_flux_def_v_east, s_flux_def_v_west, & |
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| 73 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
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| 74 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
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| 75 | s_flux_usm_v_north, s_flux_usm_v_south, & |
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| 76 | s_flux_usm_v_east, s_flux_usm_v_west ) |
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[1] | 77 | |
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[1320] | 78 | USE arrays_3d, & |
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[2037] | 79 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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[1320] | 80 | |
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| 81 | USE control_parameters, & |
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| 82 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 83 | |
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| 84 | USE grid_variables, & |
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[2759] | 85 | ONLY: ddx, ddx2, ddy, ddy2 |
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[1320] | 86 | |
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| 87 | USE indices, & |
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[4329] | 88 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt, wall_flags_static_0 |
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[1320] | 89 | |
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| 90 | USE kinds |
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[1] | 91 | |
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[2232] | 92 | USE surface_mod, & |
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| 93 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 94 | surf_usm_v |
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| 95 | |
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[1] | 96 | IMPLICIT NONE |
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| 97 | |
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[2232] | 98 | INTEGER(iwp) :: i !< running index x direction |
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| 99 | INTEGER(iwp) :: j !< running index y direction |
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| 100 | INTEGER(iwp) :: k !< running index z direction |
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| 101 | INTEGER(iwp) :: m !< running index surface elements |
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| 102 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 103 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 104 | |
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| 105 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 106 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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| 107 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
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| 108 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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| 109 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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| 110 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
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| 111 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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| 112 | |
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| 113 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
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| 114 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
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| 115 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
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| 116 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
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| 117 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
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| 118 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
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| 119 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
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| 120 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical natural-type surfaces |
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| 121 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical natural-type surfaces |
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| 122 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical natural-type surfaces |
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| 123 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical natural-type surfaces |
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| 124 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
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| 125 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
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| 126 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
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| 127 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
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| 128 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
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| 129 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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[3636] | 130 | |
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[3927] | 131 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< treated scalar |
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[1] | 132 | |
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[3636] | 133 | |
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[3634] | 134 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, m) & |
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| 135 | !$ACC PRIVATE(surf_e, surf_s, flag, mask_top, mask_bottom) & |
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| 136 | !$ACC PRIVATE(mask_north, mask_south, mask_west, mask_east) & |
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[4329] | 137 | !$ACC PRESENT(wall_flags_static_0, kh) & |
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[3634] | 138 | !$ACC PRESENT(s) & |
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| 139 | !$ACC PRESENT(ddzu, ddzw, drho_air, rho_air_zw) & |
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| 140 | !$ACC PRESENT(surf_def_h(0:2), surf_def_v(0:3)) & |
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| 141 | !$ACC PRESENT(surf_lsm_h, surf_lsm_v(0:3)) & |
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| 142 | !$ACC PRESENT(surf_usm_h, surf_usm_v(0:3)) & |
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| 143 | !$ACC PRESENT(s_flux_def_h_up, s_flux_def_h_down) & |
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| 144 | !$ACC PRESENT(s_flux_t) & |
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| 145 | !$ACC PRESENT(s_flux_def_v_north, s_flux_def_v_south) & |
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| 146 | !$ACC PRESENT(s_flux_def_v_east, s_flux_def_v_west) & |
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| 147 | !$ACC PRESENT(s_flux_lsm_h_up) & |
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| 148 | !$ACC PRESENT(s_flux_lsm_v_north, s_flux_lsm_v_south) & |
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| 149 | !$ACC PRESENT(s_flux_lsm_v_east, s_flux_lsm_v_west) & |
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| 150 | !$ACC PRESENT(s_flux_usm_h_up) & |
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| 151 | !$ACC PRESENT(s_flux_usm_v_north, s_flux_usm_v_south) & |
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| 152 | !$ACC PRESENT(s_flux_usm_v_east, s_flux_usm_v_west) & |
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| 153 | !$ACC PRESENT(tend) |
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[1] | 154 | DO i = nxl, nxr |
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| 155 | DO j = nys,nyn |
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| 156 | ! |
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| 157 | !-- Compute horizontal diffusion |
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[2232] | 158 | DO k = nzb+1, nzt |
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| 159 | ! |
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| 160 | !-- Predetermine flag to mask topography and wall-bounded grid points |
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[4329] | 161 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 0 ) ) |
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[2232] | 162 | ! |
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| 163 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
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| 164 | !-- former s_outer array |
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[4329] | 165 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i-1), 0 ) ) |
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| 166 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i+1), 0 ) ) |
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| 167 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j-1,i), 0 ) ) |
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| 168 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j+1,i), 0 ) ) |
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[1] | 169 | |
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[1320] | 170 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 171 | + 0.5_wp * ( & |
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[2232] | 172 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
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| 173 | * ( s(k,j,i+1) - s(k,j,i) ) & |
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| 174 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
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| 175 | * ( s(k,j,i) - s(k,j,i-1) ) & |
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| 176 | ) * ddx2 * flag & |
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[1340] | 177 | + 0.5_wp * ( & |
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[2232] | 178 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
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| 179 | * ( s(k,j+1,i) - s(k,j,i) ) & |
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| 180 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
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| 181 | * ( s(k,j,i) - s(k,j-1,i) ) & |
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| 182 | ) * ddy2 * flag |
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[1] | 183 | ENDDO |
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| 184 | |
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| 185 | ! |
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[2232] | 186 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
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| 187 | !-- determine start and end index for respective (j,i)-index. Please |
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| 188 | !-- note, in the flat case following loop will not be entered, as |
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| 189 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
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| 190 | !-- so far. |
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| 191 | !-- First, for default-type surfaces |
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| 192 | !-- North-facing vertical default-type surfaces |
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| 193 | surf_s = surf_def_v(0)%start_index(j,i) |
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| 194 | surf_e = surf_def_v(0)%end_index(j,i) |
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| 195 | DO m = surf_s, surf_e |
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| 196 | k = surf_def_v(0)%k(m) |
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[2759] | 197 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy |
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[2232] | 198 | ENDDO |
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| 199 | ! |
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| 200 | !-- South-facing vertical default-type surfaces |
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| 201 | surf_s = surf_def_v(1)%start_index(j,i) |
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| 202 | surf_e = surf_def_v(1)%end_index(j,i) |
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| 203 | DO m = surf_s, surf_e |
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| 204 | k = surf_def_v(1)%k(m) |
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[2759] | 205 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy |
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[2232] | 206 | ENDDO |
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| 207 | ! |
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| 208 | !-- East-facing vertical default-type surfaces |
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| 209 | surf_s = surf_def_v(2)%start_index(j,i) |
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| 210 | surf_e = surf_def_v(2)%end_index(j,i) |
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| 211 | DO m = surf_s, surf_e |
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| 212 | k = surf_def_v(2)%k(m) |
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[2759] | 213 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx |
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[2232] | 214 | ENDDO |
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| 215 | ! |
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| 216 | !-- West-facing vertical default-type surfaces |
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| 217 | surf_s = surf_def_v(3)%start_index(j,i) |
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| 218 | surf_e = surf_def_v(3)%end_index(j,i) |
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| 219 | DO m = surf_s, surf_e |
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| 220 | k = surf_def_v(3)%k(m) |
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[2759] | 221 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx |
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[2232] | 222 | ENDDO |
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| 223 | ! |
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| 224 | !-- Now, for natural-type surfaces. |
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| 225 | !-- North-facing |
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| 226 | surf_s = surf_lsm_v(0)%start_index(j,i) |
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| 227 | surf_e = surf_lsm_v(0)%end_index(j,i) |
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| 228 | DO m = surf_s, surf_e |
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| 229 | k = surf_lsm_v(0)%k(m) |
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[2759] | 230 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy |
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[2232] | 231 | ENDDO |
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| 232 | ! |
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| 233 | !-- South-facing |
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| 234 | surf_s = surf_lsm_v(1)%start_index(j,i) |
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| 235 | surf_e = surf_lsm_v(1)%end_index(j,i) |
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| 236 | DO m = surf_s, surf_e |
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| 237 | k = surf_lsm_v(1)%k(m) |
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[2759] | 238 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy |
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[2232] | 239 | ENDDO |
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| 240 | ! |
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| 241 | !-- East-facing |
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| 242 | surf_s = surf_lsm_v(2)%start_index(j,i) |
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| 243 | surf_e = surf_lsm_v(2)%end_index(j,i) |
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| 244 | DO m = surf_s, surf_e |
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| 245 | k = surf_lsm_v(2)%k(m) |
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[2759] | 246 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx |
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[2232] | 247 | ENDDO |
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| 248 | ! |
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| 249 | !-- West-facing |
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| 250 | surf_s = surf_lsm_v(3)%start_index(j,i) |
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| 251 | surf_e = surf_lsm_v(3)%end_index(j,i) |
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| 252 | DO m = surf_s, surf_e |
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| 253 | k = surf_lsm_v(3)%k(m) |
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[2759] | 254 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx |
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[2232] | 255 | ENDDO |
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| 256 | ! |
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| 257 | !-- Now, for urban-type surfaces. |
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| 258 | !-- North-facing |
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| 259 | surf_s = surf_usm_v(0)%start_index(j,i) |
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| 260 | surf_e = surf_usm_v(0)%end_index(j,i) |
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| 261 | DO m = surf_s, surf_e |
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| 262 | k = surf_usm_v(0)%k(m) |
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[2759] | 263 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy |
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[2232] | 264 | ENDDO |
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| 265 | ! |
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| 266 | !-- South-facing |
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| 267 | surf_s = surf_usm_v(1)%start_index(j,i) |
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| 268 | surf_e = surf_usm_v(1)%end_index(j,i) |
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| 269 | DO m = surf_s, surf_e |
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| 270 | k = surf_usm_v(1)%k(m) |
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[2759] | 271 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy |
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[2232] | 272 | ENDDO |
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| 273 | ! |
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| 274 | !-- East-facing |
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| 275 | surf_s = surf_usm_v(2)%start_index(j,i) |
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| 276 | surf_e = surf_usm_v(2)%end_index(j,i) |
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| 277 | DO m = surf_s, surf_e |
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| 278 | k = surf_usm_v(2)%k(m) |
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[2759] | 279 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx |
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[2232] | 280 | ENDDO |
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| 281 | ! |
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| 282 | !-- West-facing |
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| 283 | surf_s = surf_usm_v(3)%start_index(j,i) |
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| 284 | surf_e = surf_usm_v(3)%end_index(j,i) |
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| 285 | DO m = surf_s, surf_e |
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| 286 | k = surf_usm_v(3)%k(m) |
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[2759] | 287 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx |
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[2232] | 288 | ENDDO |
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[1] | 289 | |
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| 290 | ! |
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| 291 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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[19] | 292 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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[2232] | 293 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
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| 294 | !-- is given. |
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| 295 | DO k = nzb+1, nzt |
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| 296 | ! |
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| 297 | !-- Determine flags to mask topography below and above. Flag 0 is |
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| 298 | !-- used to mask topography in general, and flag 8 implies |
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| 299 | !-- information about use_surface_fluxes. Flag 9 is used to control |
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| 300 | !-- flux at model top. |
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| 301 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 302 | BTEST( wall_flags_static_0(k-1,j,i), 8 ) ) |
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[2232] | 303 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 304 | BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * & |
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[2232] | 305 | MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 306 | BTEST( wall_flags_static_0(k+1,j,i), 9 ) ) |
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[2232] | 307 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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[4329] | 308 | BTEST( wall_flags_static_0(k,j,i), 0 ) ) |
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[1] | 309 | |
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[1320] | 310 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 311 | + 0.5_wp * ( & |
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[2232] | 312 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
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| 313 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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[2037] | 314 | * rho_air_zw(k) & |
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[2232] | 315 | * mask_top & |
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| 316 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
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| 317 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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[2037] | 318 | * rho_air_zw(k-1) & |
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[2232] | 319 | * mask_bottom & |
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| 320 | ) * ddzw(k) * drho_air(k) & |
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| 321 | * flag |
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[1] | 322 | ENDDO |
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| 323 | |
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| 324 | ! |
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[2232] | 325 | !-- Vertical diffusion at horizontal walls. |
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[1] | 326 | IF ( use_surface_fluxes ) THEN |
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[2232] | 327 | ! |
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| 328 | !-- Default-type surfaces, upward-facing |
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| 329 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 330 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 331 | DO m = surf_s, surf_e |
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[1] | 332 | |
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[2232] | 333 | k = surf_def_h(0)%k(m) |
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| 334 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
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| 335 | * ddzw(k) * drho_air(k) |
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[1] | 336 | |
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[2232] | 337 | ENDDO |
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| 338 | ! |
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| 339 | !-- Default-type surfaces, downward-facing |
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| 340 | surf_s = surf_def_h(1)%start_index(j,i) |
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| 341 | surf_e = surf_def_h(1)%end_index(j,i) |
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| 342 | DO m = surf_s, surf_e |
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[1] | 343 | |
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[2232] | 344 | k = surf_def_h(1)%k(m) |
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| 345 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
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| 346 | * ddzw(k) * drho_air(k) |
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[1] | 347 | |
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[2232] | 348 | ENDDO |
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[19] | 349 | ! |
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[2232] | 350 | !-- Natural-type surfaces, upward-facing |
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| 351 | surf_s = surf_lsm_h%start_index(j,i) |
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| 352 | surf_e = surf_lsm_h%end_index(j,i) |
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| 353 | DO m = surf_s, surf_e |
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[19] | 354 | |
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[2232] | 355 | k = surf_lsm_h%k(m) |
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| 356 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
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| 357 | * ddzw(k) * drho_air(k) |
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[19] | 358 | |
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[2232] | 359 | ENDDO |
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| 360 | ! |
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| 361 | !-- Urban-type surfaces, upward-facing |
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| 362 | surf_s = surf_usm_h%start_index(j,i) |
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| 363 | surf_e = surf_usm_h%end_index(j,i) |
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| 364 | DO m = surf_s, surf_e |
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[19] | 365 | |
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[2232] | 366 | k = surf_usm_h%k(m) |
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| 367 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
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| 368 | * ddzw(k) * drho_air(k) |
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| 369 | |
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| 370 | ENDDO |
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| 371 | |
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[19] | 372 | ENDIF |
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[2232] | 373 | ! |
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| 374 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 375 | IF ( use_top_fluxes ) THEN |
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| 376 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 377 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 378 | DO m = surf_s, surf_e |
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[19] | 379 | |
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[2232] | 380 | k = surf_def_h(2)%k(m) |
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| 381 | tend(k,j,i) = tend(k,j,i) & |
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| 382 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
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| 383 | ENDDO |
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| 384 | ENDIF |
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| 385 | |
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[1] | 386 | ENDDO |
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| 387 | ENDDO |
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| 388 | |
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| 389 | END SUBROUTINE diffusion_s |
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| 390 | |
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| 391 | !------------------------------------------------------------------------------! |
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[1682] | 392 | ! Description: |
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| 393 | ! ------------ |
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| 394 | !> Call for grid point i,j |
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[1] | 395 | !------------------------------------------------------------------------------! |
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[2232] | 396 | SUBROUTINE diffusion_s_ij( i, j, s, & |
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| 397 | s_flux_def_h_up, s_flux_def_h_down, & |
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| 398 | s_flux_t, & |
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| 399 | s_flux_lsm_h_up, s_flux_usm_h_up, & |
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| 400 | s_flux_def_v_north, s_flux_def_v_south, & |
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| 401 | s_flux_def_v_east, s_flux_def_v_west, & |
---|
| 402 | s_flux_lsm_v_north, s_flux_lsm_v_south, & |
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| 403 | s_flux_lsm_v_east, s_flux_lsm_v_west, & |
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| 404 | s_flux_usm_v_north, s_flux_usm_v_south, & |
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| 405 | s_flux_usm_v_east, s_flux_usm_v_west ) |
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[1] | 406 | |
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[1320] | 407 | USE arrays_3d, & |
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[2037] | 408 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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[1320] | 409 | |
---|
| 410 | USE control_parameters, & |
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| 411 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 412 | |
---|
| 413 | USE grid_variables, & |
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[2759] | 414 | ONLY: ddx, ddx2, ddy, ddy2 |
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[1320] | 415 | |
---|
| 416 | USE indices, & |
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[4329] | 417 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_static_0 |
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[1320] | 418 | |
---|
| 419 | USE kinds |
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[1] | 420 | |
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[2232] | 421 | USE surface_mod, & |
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| 422 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 423 | surf_usm_v |
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| 424 | |
---|
[1] | 425 | IMPLICIT NONE |
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| 426 | |
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[2232] | 427 | INTEGER(iwp) :: i !< running index x direction |
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| 428 | INTEGER(iwp) :: j !< running index y direction |
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| 429 | INTEGER(iwp) :: k !< running index z direction |
---|
| 430 | INTEGER(iwp) :: m !< running index surface elements |
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| 431 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 432 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 433 | |
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| 434 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 435 | REAL(wp) :: mask_bottom !< flag to mask vertical upward-facing surface |
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| 436 | REAL(wp) :: mask_east !< flag to mask vertical surface east of the grid point |
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| 437 | REAL(wp) :: mask_north !< flag to mask vertical surface north of the grid point |
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| 438 | REAL(wp) :: mask_south !< flag to mask vertical surface south of the grid point |
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| 439 | REAL(wp) :: mask_west !< flag to mask vertical surface west of the grid point |
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| 440 | REAL(wp) :: mask_top !< flag to mask vertical downward-facing surface |
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| 441 | |
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| 442 | REAL(wp), DIMENSION(1:surf_def_v(0)%ns) :: s_flux_def_v_north !< flux at north-facing vertical default-type surfaces |
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| 443 | REAL(wp), DIMENSION(1:surf_def_v(1)%ns) :: s_flux_def_v_south !< flux at south-facing vertical default-type surfaces |
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| 444 | REAL(wp), DIMENSION(1:surf_def_v(2)%ns) :: s_flux_def_v_east !< flux at east-facing vertical default-type surfaces |
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| 445 | REAL(wp), DIMENSION(1:surf_def_v(3)%ns) :: s_flux_def_v_west !< flux at west-facing vertical default-type surfaces |
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| 446 | REAL(wp), DIMENSION(1:surf_def_h(0)%ns) :: s_flux_def_h_up !< flux at horizontal upward-facing default-type surfaces |
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| 447 | REAL(wp), DIMENSION(1:surf_def_h(1)%ns) :: s_flux_def_h_down !< flux at horizontal donwward-facing default-type surfaces |
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| 448 | REAL(wp), DIMENSION(1:surf_lsm_h%ns) :: s_flux_lsm_h_up !< flux at horizontal upward-facing natural-type surfaces |
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| 449 | REAL(wp), DIMENSION(1:surf_lsm_v(0)%ns) :: s_flux_lsm_v_north !< flux at north-facing vertical urban-type surfaces |
---|
| 450 | REAL(wp), DIMENSION(1:surf_lsm_v(1)%ns) :: s_flux_lsm_v_south !< flux at south-facing vertical urban-type surfaces |
---|
| 451 | REAL(wp), DIMENSION(1:surf_lsm_v(2)%ns) :: s_flux_lsm_v_east !< flux at east-facing vertical urban-type surfaces |
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| 452 | REAL(wp), DIMENSION(1:surf_lsm_v(3)%ns) :: s_flux_lsm_v_west !< flux at west-facing vertical urban-type surfaces |
---|
| 453 | REAL(wp), DIMENSION(1:surf_usm_h%ns) :: s_flux_usm_h_up !< flux at horizontal upward-facing urban-type surfaces |
---|
| 454 | REAL(wp), DIMENSION(1:surf_usm_v(0)%ns) :: s_flux_usm_v_north !< flux at north-facing vertical urban-type surfaces |
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| 455 | REAL(wp), DIMENSION(1:surf_usm_v(1)%ns) :: s_flux_usm_v_south !< flux at south-facing vertical urban-type surfaces |
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| 456 | REAL(wp), DIMENSION(1:surf_usm_v(2)%ns) :: s_flux_usm_v_east !< flux at east-facing vertical urban-type surfaces |
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| 457 | REAL(wp), DIMENSION(1:surf_usm_v(3)%ns) :: s_flux_usm_v_west !< flux at west-facing vertical urban-type surfaces |
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| 458 | REAL(wp), DIMENSION(1:surf_def_h(2)%ns) :: s_flux_t !< flux at model top |
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[3636] | 459 | |
---|
[3927] | 460 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< treated scalar |
---|
[1] | 461 | |
---|
| 462 | ! |
---|
| 463 | !-- Compute horizontal diffusion |
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[2232] | 464 | DO k = nzb+1, nzt |
---|
| 465 | ! |
---|
| 466 | !-- Predetermine flag to mask topography and wall-bounded grid points |
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[4329] | 467 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i), 0 ) ) |
---|
[2232] | 468 | ! |
---|
| 469 | !-- Predetermine flag to mask wall-bounded grid points, equivalent to |
---|
| 470 | !-- former s_outer array |
---|
[4329] | 471 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i-1), 0 ) ) |
---|
| 472 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j,i+1), 0 ) ) |
---|
| 473 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j-1,i), 0 ) ) |
---|
| 474 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_static_0(k,j+1,i), 0 ) ) |
---|
[2232] | 475 | ! |
---|
| 476 | !-- Finally, determine flag to mask both topography itself as well |
---|
| 477 | !-- as wall-bounded grid points, which will be treated further below |
---|
[1] | 478 | |
---|
[1320] | 479 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 480 | + 0.5_wp * ( & |
---|
[2232] | 481 | mask_east * ( kh(k,j,i) + kh(k,j,i+1) ) & |
---|
| 482 | * ( s(k,j,i+1) - s(k,j,i) ) & |
---|
| 483 | - mask_west * ( kh(k,j,i) + kh(k,j,i-1) ) & |
---|
| 484 | * ( s(k,j,i) - s(k,j,i-1) ) & |
---|
| 485 | ) * ddx2 * flag & |
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[1340] | 486 | + 0.5_wp * ( & |
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[2232] | 487 | mask_north * ( kh(k,j,i) + kh(k,j+1,i) ) & |
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| 488 | * ( s(k,j+1,i) - s(k,j,i) ) & |
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| 489 | - mask_south * ( kh(k,j,i) + kh(k,j-1,i) ) & |
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| 490 | * ( s(k,j,i) - s(k,j-1,i) ) & |
---|
| 491 | ) * ddy2 * flag |
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[1] | 492 | ENDDO |
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| 493 | |
---|
| 494 | ! |
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[2232] | 495 | !-- Apply prescribed horizontal wall heatflux where necessary. First, |
---|
| 496 | !-- determine start and end index for respective (j,i)-index. Please |
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| 497 | !-- note, in the flat case following loops will not be entered, as |
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| 498 | !-- surf_s=1 and surf_e=0. Furtermore, note, no vertical natural surfaces |
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| 499 | !-- so far. |
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| 500 | !-- First, for default-type surfaces |
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| 501 | !-- North-facing vertical default-type surfaces |
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| 502 | surf_s = surf_def_v(0)%start_index(j,i) |
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| 503 | surf_e = surf_def_v(0)%end_index(j,i) |
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| 504 | DO m = surf_s, surf_e |
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| 505 | k = surf_def_v(0)%k(m) |
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[2759] | 506 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_north(m) * ddy |
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[2232] | 507 | ENDDO |
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| 508 | ! |
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| 509 | !-- South-facing vertical default-type surfaces |
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| 510 | surf_s = surf_def_v(1)%start_index(j,i) |
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| 511 | surf_e = surf_def_v(1)%end_index(j,i) |
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| 512 | DO m = surf_s, surf_e |
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| 513 | k = surf_def_v(1)%k(m) |
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[2759] | 514 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_south(m) * ddy |
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[2232] | 515 | ENDDO |
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| 516 | ! |
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| 517 | !-- East-facing vertical default-type surfaces |
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| 518 | surf_s = surf_def_v(2)%start_index(j,i) |
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| 519 | surf_e = surf_def_v(2)%end_index(j,i) |
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| 520 | DO m = surf_s, surf_e |
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| 521 | k = surf_def_v(2)%k(m) |
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[2759] | 522 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_east(m) * ddx |
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[2232] | 523 | ENDDO |
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| 524 | ! |
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| 525 | !-- West-facing vertical default-type surfaces |
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| 526 | surf_s = surf_def_v(3)%start_index(j,i) |
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| 527 | surf_e = surf_def_v(3)%end_index(j,i) |
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| 528 | DO m = surf_s, surf_e |
---|
| 529 | k = surf_def_v(3)%k(m) |
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[2759] | 530 | tend(k,j,i) = tend(k,j,i) + s_flux_def_v_west(m) * ddx |
---|
[2232] | 531 | ENDDO |
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| 532 | ! |
---|
| 533 | !-- Now, for natural-type surfaces |
---|
| 534 | !-- North-facing |
---|
| 535 | surf_s = surf_lsm_v(0)%start_index(j,i) |
---|
| 536 | surf_e = surf_lsm_v(0)%end_index(j,i) |
---|
| 537 | DO m = surf_s, surf_e |
---|
| 538 | k = surf_lsm_v(0)%k(m) |
---|
[2759] | 539 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_north(m) * ddy |
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[2232] | 540 | ENDDO |
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| 541 | ! |
---|
| 542 | !-- South-facing |
---|
| 543 | surf_s = surf_lsm_v(1)%start_index(j,i) |
---|
| 544 | surf_e = surf_lsm_v(1)%end_index(j,i) |
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| 545 | DO m = surf_s, surf_e |
---|
| 546 | k = surf_lsm_v(1)%k(m) |
---|
[2759] | 547 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_south(m) * ddy |
---|
[2232] | 548 | ENDDO |
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| 549 | ! |
---|
| 550 | !-- East-facing |
---|
| 551 | surf_s = surf_lsm_v(2)%start_index(j,i) |
---|
| 552 | surf_e = surf_lsm_v(2)%end_index(j,i) |
---|
| 553 | DO m = surf_s, surf_e |
---|
| 554 | k = surf_lsm_v(2)%k(m) |
---|
[2759] | 555 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_east(m) * ddx |
---|
[2232] | 556 | ENDDO |
---|
| 557 | ! |
---|
| 558 | !-- West-facing |
---|
| 559 | surf_s = surf_lsm_v(3)%start_index(j,i) |
---|
| 560 | surf_e = surf_lsm_v(3)%end_index(j,i) |
---|
| 561 | DO m = surf_s, surf_e |
---|
| 562 | k = surf_lsm_v(3)%k(m) |
---|
[2759] | 563 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_v_west(m) * ddx |
---|
[2232] | 564 | ENDDO |
---|
| 565 | ! |
---|
| 566 | !-- Now, for urban-type surfaces |
---|
| 567 | !-- North-facing |
---|
| 568 | surf_s = surf_usm_v(0)%start_index(j,i) |
---|
| 569 | surf_e = surf_usm_v(0)%end_index(j,i) |
---|
| 570 | DO m = surf_s, surf_e |
---|
| 571 | k = surf_usm_v(0)%k(m) |
---|
[2759] | 572 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_north(m) * ddy |
---|
[2232] | 573 | ENDDO |
---|
| 574 | ! |
---|
| 575 | !-- South-facing |
---|
| 576 | surf_s = surf_usm_v(1)%start_index(j,i) |
---|
| 577 | surf_e = surf_usm_v(1)%end_index(j,i) |
---|
| 578 | DO m = surf_s, surf_e |
---|
| 579 | k = surf_usm_v(1)%k(m) |
---|
[2759] | 580 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_south(m) * ddy |
---|
[2232] | 581 | ENDDO |
---|
| 582 | ! |
---|
| 583 | !-- East-facing |
---|
| 584 | surf_s = surf_usm_v(2)%start_index(j,i) |
---|
| 585 | surf_e = surf_usm_v(2)%end_index(j,i) |
---|
| 586 | DO m = surf_s, surf_e |
---|
| 587 | k = surf_usm_v(2)%k(m) |
---|
[2759] | 588 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_east(m) * ddx |
---|
[2232] | 589 | ENDDO |
---|
| 590 | ! |
---|
| 591 | !-- West-facing |
---|
| 592 | surf_s = surf_usm_v(3)%start_index(j,i) |
---|
| 593 | surf_e = surf_usm_v(3)%end_index(j,i) |
---|
| 594 | DO m = surf_s, surf_e |
---|
| 595 | k = surf_usm_v(3)%k(m) |
---|
[2759] | 596 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_v_west(m) * ddx |
---|
[2232] | 597 | ENDDO |
---|
[1] | 598 | |
---|
| 599 | |
---|
| 600 | ! |
---|
| 601 | !-- Compute vertical diffusion. In case that surface fluxes have been |
---|
[19] | 602 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
---|
[2232] | 603 | !-- nzb+2 or nzt-1, respectively. Model top is also mask if top flux |
---|
| 604 | !-- is given. |
---|
| 605 | DO k = nzb+1, nzt |
---|
| 606 | ! |
---|
| 607 | !-- Determine flags to mask topography below and above. Flag 0 is |
---|
| 608 | !-- used to mask topography in general, and flag 8 implies |
---|
| 609 | !-- information about use_surface_fluxes. Flag 9 is used to control |
---|
| 610 | !-- flux at model top. |
---|
| 611 | mask_bottom = MERGE( 1.0_wp, 0.0_wp, & |
---|
[4329] | 612 | BTEST( wall_flags_static_0(k-1,j,i), 8 ) ) |
---|
[2232] | 613 | mask_top = MERGE( 1.0_wp, 0.0_wp, & |
---|
[4329] | 614 | BTEST( wall_flags_static_0(k+1,j,i), 8 ) ) * & |
---|
[2232] | 615 | MERGE( 1.0_wp, 0.0_wp, & |
---|
[4329] | 616 | BTEST( wall_flags_static_0(k+1,j,i), 9 ) ) |
---|
[2232] | 617 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
[4329] | 618 | BTEST( wall_flags_static_0(k,j,i), 0 ) ) |
---|
[1] | 619 | |
---|
[1320] | 620 | tend(k,j,i) = tend(k,j,i) & |
---|
[1340] | 621 | + 0.5_wp * ( & |
---|
[2232] | 622 | ( kh(k,j,i) + kh(k+1,j,i) ) * & |
---|
| 623 | ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
---|
[2037] | 624 | * rho_air_zw(k) & |
---|
[2232] | 625 | * mask_top & |
---|
| 626 | - ( kh(k,j,i) + kh(k-1,j,i) ) * & |
---|
| 627 | ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
---|
[2037] | 628 | * rho_air_zw(k-1) & |
---|
[2232] | 629 | * mask_bottom & |
---|
| 630 | ) * ddzw(k) * drho_air(k) & |
---|
| 631 | * flag |
---|
[1] | 632 | ENDDO |
---|
| 633 | |
---|
| 634 | ! |
---|
[2232] | 635 | !-- Vertical diffusion at horizontal walls. |
---|
| 636 | !-- TO DO: Adjust for downward facing walls and mask already in main loop |
---|
[1] | 637 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 638 | ! |
---|
| 639 | !-- Default-type surfaces, upward-facing |
---|
| 640 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
| 641 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
| 642 | DO m = surf_s, surf_e |
---|
[1] | 643 | |
---|
[2232] | 644 | k = surf_def_h(0)%k(m) |
---|
[1] | 645 | |
---|
[2232] | 646 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_up(m) & |
---|
| 647 | * ddzw(k) * drho_air(k) |
---|
| 648 | ENDDO |
---|
| 649 | ! |
---|
| 650 | !-- Default-type surfaces, downward-facing |
---|
| 651 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 652 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
| 653 | DO m = surf_s, surf_e |
---|
[1] | 654 | |
---|
[2232] | 655 | k = surf_def_h(1)%k(m) |
---|
[1] | 656 | |
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[2232] | 657 | tend(k,j,i) = tend(k,j,i) + s_flux_def_h_down(m) & |
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| 658 | * ddzw(k) * drho_air(k) |
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| 659 | ENDDO |
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[19] | 660 | ! |
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[2232] | 661 | !-- Natural-type surfaces, upward-facing |
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| 662 | surf_s = surf_lsm_h%start_index(j,i) |
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| 663 | surf_e = surf_lsm_h%end_index(j,i) |
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| 664 | DO m = surf_s, surf_e |
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| 665 | k = surf_lsm_h%k(m) |
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| 666 | |
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| 667 | tend(k,j,i) = tend(k,j,i) + s_flux_lsm_h_up(m) & |
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| 668 | * ddzw(k) * drho_air(k) |
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| 669 | ENDDO |
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| 670 | ! |
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| 671 | !-- Urban-type surfaces, upward-facing |
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| 672 | surf_s = surf_usm_h%start_index(j,i) |
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| 673 | surf_e = surf_usm_h%end_index(j,i) |
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| 674 | DO m = surf_s, surf_e |
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| 675 | k = surf_usm_h%k(m) |
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| 676 | |
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| 677 | tend(k,j,i) = tend(k,j,i) + s_flux_usm_h_up(m) & |
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| 678 | * ddzw(k) * drho_air(k) |
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| 679 | ENDDO |
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| 680 | ENDIF |
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| 681 | ! |
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[19] | 682 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 683 | IF ( use_top_fluxes ) THEN |
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[2232] | 684 | surf_s = surf_def_h(2)%start_index(j,i) |
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| 685 | surf_e = surf_def_h(2)%end_index(j,i) |
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| 686 | DO m = surf_s, surf_e |
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[19] | 687 | |
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[2232] | 688 | k = surf_def_h(2)%k(m) |
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| 689 | tend(k,j,i) = tend(k,j,i) & |
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| 690 | + ( - s_flux_t(m) ) * ddzw(k) * drho_air(k) |
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| 691 | ENDDO |
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[19] | 692 | ENDIF |
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| 693 | |
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[1] | 694 | END SUBROUTINE diffusion_s_ij |
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| 695 | |
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| 696 | END MODULE diffusion_s_mod |
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