| 1 | !> @file diffusion_w.f90 |
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| 2 | !--------------------------------------------------------------------------------------------------! |
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| 3 | ! This file is part of the PALM model system. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms of the GNU General |
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| 6 | ! Public License as published by the Free Software Foundation, either version 3 of the License, or |
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| 7 | ! (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the |
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| 10 | ! implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General |
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| 11 | ! Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with PALM. If not, see |
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| 14 | ! <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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| 16 | ! Copyright 1997-2020 Leibniz Universitaet Hannover |
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| 17 | !--------------------------------------------------------------------------------------------------! |
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| 18 | ! |
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| 19 | ! Current revisions: |
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| 20 | ! ----------------- |
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| 21 | ! |
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| 22 | ! |
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| 23 | ! Former revisions: |
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| 24 | ! ----------------- |
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| 25 | ! $Id: diffusion_w.f90 4583 2020-06-29 12:36:47Z maronga $ |
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| 26 | ! file re-formatted to follow the PALM coding standard |
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| 27 | ! |
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| 28 | ! 4360 2020-01-07 11:25:50Z suehring |
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| 29 | ! Introduction of wall_flags_total_0, which currently sets bits based on static topography |
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| 30 | ! information used in wall_flags_static_0 |
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| 31 | ! |
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| 32 | ! 4329 2019-12-10 15:46:36Z motisi |
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| 33 | ! Renamed wall_flags_0 to wall_flags_static_0 |
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| 34 | ! |
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| 35 | ! 4182 2019-08-22 15:20:23Z scharf |
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| 36 | ! Corrected "Former revisions" section |
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| 37 | ! |
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| 38 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 39 | ! OpenACC port for SPEC |
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| 40 | ! |
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| 41 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 42 | ! Initial revision |
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| 43 | ! |
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| 44 | ! |
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| 45 | ! Description: |
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| 46 | ! ------------ |
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| 47 | !> Diffusion term of the w-component |
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| 48 | !--------------------------------------------------------------------------------------------------! |
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| 49 | MODULE diffusion_w_mod |
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| 50 | |
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| 51 | |
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| 52 | PRIVATE |
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| 53 | PUBLIC diffusion_w |
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| 54 | |
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| 55 | INTERFACE diffusion_w |
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| 56 | MODULE PROCEDURE diffusion_w |
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| 57 | MODULE PROCEDURE diffusion_w_ij |
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| 58 | END INTERFACE diffusion_w |
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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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| 64 | ! Description: |
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| 65 | ! ------------ |
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| 66 | !> Call for all grid points |
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| 67 | !--------------------------------------------------------------------------------------------------! |
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| 68 | SUBROUTINE diffusion_w |
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| 69 | |
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| 70 | USE arrays_3d, & |
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| 71 | ONLY : ddzu, ddzw, drho_air_zw, km, rho_air, tend, u, v, w |
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| 72 | |
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| 73 | USE grid_variables, & |
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| 74 | ONLY : ddx, ddy |
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| 75 | |
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| 76 | USE indices, & |
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| 77 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_total_0 |
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| 78 | |
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| 79 | USE kinds |
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| 80 | |
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| 81 | USE surface_mod, & |
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| 82 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 83 | |
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| 84 | IMPLICIT NONE |
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| 85 | |
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| 86 | INTEGER(iwp) :: i !< running index x direction |
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| 87 | INTEGER(iwp) :: j !< running index y direction |
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| 88 | INTEGER(iwp) :: k !< running index z direction |
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| 89 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 90 | INTEGER(iwp) :: m !< running index surface elements |
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| 91 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 92 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 93 | |
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| 94 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 95 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
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| 96 | REAL(wp) :: kmxp !<diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
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| 97 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
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| 98 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
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| 99 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 100 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 101 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 102 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 103 | |
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| 104 | |
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| 105 | |
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| 106 | !$ACC PARALLEL LOOP COLLAPSE(2) PRIVATE(i, j, k, l, m) & |
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| 107 | !$ACC PRIVATE(surf_e, surf_s, flag, kmxm, kmxp, kmym, kmyp) & |
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| 108 | !$ACC PRIVATE(mask_west, mask_east, mask_south, mask_north) & |
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| 109 | !$ACC PRESENT(wall_flags_total_0, km) & |
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| 110 | !$ACC PRESENT(u, v, w) & |
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| 111 | !$ACC PRESENT(ddzu, ddzw, rho_air, drho_air_zw) & |
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| 112 | !$ACC PRESENT(surf_def_v(0:3)) & |
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| 113 | !$ACC PRESENT(surf_lsm_v(0:3)) & |
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| 114 | !$ACC PRESENT(surf_usm_v(0:3)) & |
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| 115 | !$ACC PRESENT(tend) |
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| 116 | DO i = nxl, nxr |
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| 117 | DO j = nys, nyn |
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| 118 | DO k = nzb+1, nzt-1 |
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| 119 | ! |
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| 120 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 121 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) ) |
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| 122 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i+1), 3 ) ) |
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| 123 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i-1), 3 ) ) |
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| 124 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j-1,i), 3 ) ) |
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| 125 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j+1,i), 3 ) ) |
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| 126 | ! |
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| 127 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 128 | kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & |
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| 129 | km(k+1,j,i) + km(k+1,j,i+1) ) |
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| 130 | kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & |
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| 131 | km(k+1,j,i) + km(k+1,j,i-1) ) |
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| 132 | kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 133 | km(k,j+1,i) + km(k+1,j+1,i) ) |
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| 134 | kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 135 | km(k,j-1,i) + km(k+1,j-1,i) ) |
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| 136 | |
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| 137 | tend(k,j,i) = tend(k,j,i) & |
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| 138 | + ( mask_east * kmxp * ( & |
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| 139 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 140 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 141 | ) & |
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| 142 | - mask_west * kmxm * ( & |
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| 143 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 144 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 145 | ) & |
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| 146 | ) * ddx * flag & |
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| 147 | + ( mask_north * kmyp * ( & |
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| 148 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 149 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 150 | ) & |
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| 151 | - mask_south * kmym * ( & |
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| 152 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 153 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 154 | ) & |
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| 155 | ) * ddy * flag & |
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| 156 | + 2.0_wp * ( & |
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| 157 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 158 | * rho_air(k+1) & |
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| 159 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 160 | * rho_air(k) & |
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| 161 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 162 | ENDDO |
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| 163 | |
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| 164 | ! |
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| 165 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) surfaces. |
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| 166 | !-- Note, in the the flat case, loops won't be entered as start_index > end_index. |
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| 167 | !-- Furtermore, note, no vertical natural surfaces so far. |
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| 168 | !-- Default-type surfaces |
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| 169 | DO l = 0, 1 |
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| 170 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 171 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 172 | DO m = surf_s, surf_e |
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| 173 | k = surf_def_v(l)%k(m) |
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| 174 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_w(m) * ddy |
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| 175 | ENDDO |
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| 176 | ENDDO |
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| 177 | ! |
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| 178 | !-- Natural-type surfaces |
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| 179 | DO l = 0, 1 |
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| 180 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 181 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 182 | DO m = surf_s, surf_e |
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| 183 | k = surf_lsm_v(l)%k(m) |
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| 184 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 185 | ENDDO |
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| 186 | ENDDO |
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| 187 | ! |
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| 188 | !-- Urban-type surfaces |
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| 189 | DO l = 0, 1 |
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| 190 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 191 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 192 | DO m = surf_s, surf_e |
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| 193 | k = surf_usm_v(l)%k(m) |
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| 194 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 195 | ENDDO |
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| 196 | ENDDO |
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| 197 | ! |
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| 198 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) surface. |
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| 199 | !-- Default-type surfaces |
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| 200 | DO l = 2, 3 |
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| 201 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 202 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 203 | DO m = surf_s, surf_e |
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| 204 | k = surf_def_v(l)%k(m) |
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| 205 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_w(m) * ddx |
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| 206 | ENDDO |
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| 207 | ENDDO |
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| 208 | ! |
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| 209 | !-- Natural-type surfaces |
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| 210 | DO l = 2, 3 |
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| 211 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 212 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 213 | DO m = surf_s, surf_e |
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| 214 | k = surf_lsm_v(l)%k(m) |
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| 215 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 216 | ENDDO |
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| 217 | ENDDO |
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| 218 | ! |
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| 219 | !-- Urban-type surfaces |
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| 220 | DO l = 2, 3 |
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| 221 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 222 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 223 | DO m = surf_s, surf_e |
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| 224 | k = surf_usm_v(l)%k(m) |
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| 225 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 226 | ENDDO |
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| 227 | ENDDO |
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| 228 | |
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| 229 | ENDDO |
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| 230 | ENDDO |
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| 231 | |
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| 232 | END SUBROUTINE diffusion_w |
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| 233 | |
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| 234 | |
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| 235 | !--------------------------------------------------------------------------------------------------! |
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| 236 | ! Description: |
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| 237 | ! ------------ |
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| 238 | !> Call for grid point i,j |
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| 239 | !--------------------------------------------------------------------------------------------------! |
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| 240 | SUBROUTINE diffusion_w_ij( i, j ) |
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| 241 | |
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| 242 | USE arrays_3d, & |
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| 243 | ONLY : ddzu, ddzw, drho_air_zw, km, rho_air, tend, u, v, w |
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| 244 | |
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| 245 | USE grid_variables, & |
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| 246 | ONLY : ddx, ddy |
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| 247 | |
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| 248 | USE indices, & |
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| 249 | ONLY : nzb, nzt, wall_flags_total_0 |
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| 250 | |
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| 251 | USE kinds |
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| 252 | |
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| 253 | USE surface_mod, & |
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| 254 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 255 | |
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| 256 | IMPLICIT NONE |
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| 257 | |
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| 258 | |
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| 259 | INTEGER(iwp) :: i !< running index x direction |
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| 260 | INTEGER(iwp) :: j !< running index y direction |
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| 261 | INTEGER(iwp) :: k !< running index z direction |
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| 262 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 263 | INTEGER(iwp) :: m !< running index surface elements |
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| 264 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 265 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 266 | |
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| 267 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 268 | REAL(wp) :: kmxm !< diffusion coefficient on leftward side of the w-gridbox - interpolated onto xu-y grid |
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| 269 | REAL(wp) :: kmxp !< diffusion coefficient on rightward side of the w-gridbox - interpolated onto xu-y grid |
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| 270 | REAL(wp) :: kmym !< diffusion coefficient on southward side of the w-gridbox - interpolated onto x-yv grid |
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| 271 | REAL(wp) :: kmyp !< diffusion coefficient on northward side of the w-gridbox - interpolated onto x-yv grid |
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| 272 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 273 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 274 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 275 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 276 | |
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| 277 | |
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| 278 | DO k = nzb+1, nzt-1 |
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| 279 | ! |
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| 280 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 281 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i), 3 ) ) |
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| 282 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i+1), 3 ) ) |
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| 283 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j,i-1), 3 ) ) |
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| 284 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j-1,i), 3 ) ) |
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| 285 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_total_0(k,j+1,i), 3 ) ) |
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| 286 | ! |
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| 287 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 288 | kmxp = 0.25_wp * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 289 | kmxm = 0.25_wp * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 290 | kmyp = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 291 | kmym = 0.25_wp * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 292 | |
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| 293 | tend(k,j,i) = tend(k,j,i) & |
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| 294 | + ( mask_east * kmxp * ( & |
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| 295 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 296 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 297 | ) & |
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| 298 | - mask_west * kmxm * ( & |
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| 299 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 300 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 301 | ) & |
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| 302 | ) * ddx * flag & |
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| 303 | + ( mask_north * kmyp * ( & |
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| 304 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 305 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 306 | ) & |
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| 307 | - mask_south * kmym * ( & |
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| 308 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 309 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 310 | ) & |
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| 311 | ) * ddy * flag & |
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| 312 | + 2.0_wp * ( & |
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| 313 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 314 | * rho_air(k+1) & |
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| 315 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 316 | * rho_air(k) & |
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| 317 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 318 | ENDDO |
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| 319 | ! |
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| 320 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) surfaces. Note, in |
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| 321 | !-- the the flat case, loops won't be entered as start_index > end_index. Furtermore, note, no |
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| 322 | !-- vertical natural surfaces so far. |
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| 323 | !-- Default-type surfaces |
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| 324 | DO l = 0, 1 |
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| 325 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 326 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 327 | DO m = surf_s, surf_e |
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| 328 | k = surf_def_v(l)%k(m) |
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| 329 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_w(m) * ddy |
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| 330 | ENDDO |
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| 331 | ENDDO |
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| 332 | ! |
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| 333 | !-- Natural-type surfaces |
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| 334 | DO l = 0, 1 |
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| 335 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 336 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 337 | DO m = surf_s, surf_e |
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| 338 | k = surf_lsm_v(l)%k(m) |
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| 339 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 340 | ENDDO |
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| 341 | ENDDO |
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| 342 | ! |
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| 343 | !-- Urban-type surfaces |
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| 344 | DO l = 0, 1 |
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| 345 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 346 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 347 | DO m = surf_s, surf_e |
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| 348 | k = surf_usm_v(l)%k(m) |
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| 349 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 350 | ENDDO |
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| 351 | ENDDO |
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| 352 | ! |
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| 353 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) surfaces. |
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| 354 | !-- Default-type surfaces |
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| 355 | DO l = 2, 3 |
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| 356 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 357 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 358 | DO m = surf_s, surf_e |
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| 359 | k = surf_def_v(l)%k(m) |
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| 360 | tend(k,j,i) = tend(k,j,i) + surf_def_v(l)%mom_flux_w(m) * ddx |
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| 361 | ENDDO |
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| 362 | ENDDO |
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| 363 | ! |
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| 364 | !-- Natural-type surfaces |
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| 365 | DO l = 2, 3 |
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| 366 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 367 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 368 | DO m = surf_s, surf_e |
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| 369 | k = surf_lsm_v(l)%k(m) |
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| 370 | tend(k,j,i) = tend(k,j,i) + surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 371 | ENDDO |
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| 372 | ENDDO |
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| 373 | ! |
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| 374 | !-- Urban-type surfaces |
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| 375 | DO l = 2, 3 |
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| 376 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 377 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 378 | DO m = surf_s, surf_e |
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| 379 | k = surf_usm_v(l)%k(m) |
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| 380 | tend(k,j,i) = tend(k,j,i) + surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 381 | ENDDO |
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| 382 | ENDDO |
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| 383 | |
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| 384 | |
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| 385 | END SUBROUTINE diffusion_w_ij |
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| 386 | |
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| 387 | END MODULE diffusion_w_mod |
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