| 1 | !> @file diffusion_w.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 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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| 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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| 17 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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| 18 | !------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_w.f90 2038 2016-10-26 11:16:56Z gronemeier $ |
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| 27 | ! |
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| 28 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 29 | ! Anelastic approximation implemented |
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| 30 | ! |
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| 31 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 32 | ! Forced header and separation lines into 80 columns |
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| 33 | ! |
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| 34 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 35 | ! Module renamed (removed _mod) |
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| 36 | ! |
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| 37 | ! |
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| 38 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 39 | ! Module renamed |
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| 40 | ! |
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| 41 | ! |
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| 42 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 43 | ! Code annotations made doxygen readable |
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| 44 | ! |
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| 45 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 46 | ! vsws + vswst removed from acc-present-list |
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| 47 | ! |
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| 48 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 49 | ! REAL constants provided with KIND-attribute |
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| 50 | ! |
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| 51 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 52 | ! REAL constants defined as wp-kind |
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| 53 | ! |
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| 54 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 55 | ! REAL constants defined as wp-kind |
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| 56 | ! |
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| 57 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 58 | ! ONLY-attribute added to USE-statements, |
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| 59 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 60 | ! kinds are defined in new module kinds, |
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| 61 | ! revision history before 2012 removed, |
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| 62 | ! comment fields (!:) to be used for variable explanations added to |
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| 63 | ! all variable declaration statements |
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| 64 | ! |
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| 65 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 66 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 67 | ! the FORTRAN declaration statement |
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| 68 | ! |
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| 69 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 70 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 71 | ! j_north |
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| 72 | ! |
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| 73 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 74 | ! code put under GPL (PALM 3.9) |
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| 75 | ! |
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| 76 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 77 | ! accelerator version (*_acc) added |
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| 78 | ! |
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| 79 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 80 | ! arrays comunicated by module instead of parameter list |
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| 81 | ! |
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| 82 | ! 978 2012-08-09 08:28:32Z fricke |
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| 83 | ! outflow damping layer removed |
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| 84 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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| 85 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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| 86 | ! |
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| 87 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 88 | ! Initial revision |
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| 89 | ! |
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| 90 | ! |
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| 91 | ! Description: |
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| 92 | ! ------------ |
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| 93 | !> Diffusion term of the w-component |
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| 94 | !------------------------------------------------------------------------------! |
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| 95 | MODULE diffusion_w_mod |
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| 96 | |
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| 97 | |
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| 98 | USE wall_fluxes_mod, & |
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| 99 | ONLY : wall_fluxes, wall_fluxes_acc |
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| 100 | |
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| 101 | PRIVATE |
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| 102 | PUBLIC diffusion_w, diffusion_w_acc |
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| 103 | |
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| 104 | INTERFACE diffusion_w |
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| 105 | MODULE PROCEDURE diffusion_w |
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| 106 | MODULE PROCEDURE diffusion_w_ij |
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| 107 | END INTERFACE diffusion_w |
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| 108 | |
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| 109 | INTERFACE diffusion_w_acc |
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| 110 | MODULE PROCEDURE diffusion_w_acc |
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| 111 | END INTERFACE diffusion_w_acc |
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| 112 | |
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| 113 | CONTAINS |
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| 114 | |
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| 115 | |
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| 116 | !------------------------------------------------------------------------------! |
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| 117 | ! Description: |
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| 118 | ! ------------ |
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| 119 | !> Call for all grid points |
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| 120 | !------------------------------------------------------------------------------! |
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| 121 | SUBROUTINE diffusion_w |
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| 122 | |
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| 123 | USE arrays_3d, & |
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| 124 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 125 | |
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| 126 | USE control_parameters, & |
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| 127 | ONLY : topography |
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| 128 | |
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| 129 | USE grid_variables, & |
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| 130 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 131 | |
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| 132 | USE indices, & |
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| 133 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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| 134 | |
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| 135 | USE kinds |
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| 136 | |
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| 137 | IMPLICIT NONE |
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| 138 | |
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| 139 | INTEGER(iwp) :: i !< |
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| 140 | INTEGER(iwp) :: j !< |
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| 141 | INTEGER(iwp) :: k !< |
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| 142 | |
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| 143 | REAL(wp) :: kmxm !< |
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| 144 | REAL(wp) :: kmxp !< |
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| 145 | REAL(wp) :: kmym !< |
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| 146 | REAL(wp) :: kmyp !< |
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| 147 | |
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| 148 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
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| 149 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
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| 150 | |
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| 151 | |
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| 152 | ! |
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| 153 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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| 154 | !-- walls, if neccessary |
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| 155 | IF ( topography /= 'flat' ) THEN |
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| 156 | CALL wall_fluxes( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, nzb_w_inner, & |
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| 157 | nzb_w_outer, wall_w_x ) |
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| 158 | CALL wall_fluxes( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, nzb_w_inner, & |
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| 159 | nzb_w_outer, wall_w_y ) |
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| 160 | ENDIF |
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| 161 | |
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| 162 | DO i = nxl, nxr |
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| 163 | DO j = nys, nyn |
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| 164 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 165 | ! |
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| 166 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 167 | kmxp = 0.25_wp * & |
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| 168 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 169 | kmxm = 0.25_wp * & |
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| 170 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 171 | kmyp = 0.25_wp * & |
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| 172 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 173 | kmym = 0.25_wp * & |
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| 174 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 175 | |
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| 176 | tend(k,j,i) = tend(k,j,i) & |
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| 177 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 178 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 179 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 180 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 181 | & ) * ddx & |
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| 182 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 183 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 184 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 185 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 186 | & ) * ddy & |
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| 187 | & + 2.0_wp * ( & |
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| 188 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 189 | & * rho_air(k+1) & |
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| 190 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 191 | & * rho_air(k) & |
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| 192 | & ) * ddzu(k+1) * drho_air_zw(k) |
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| 193 | ENDDO |
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| 194 | |
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| 195 | ! |
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| 196 | !-- Wall functions at all vertical walls, where necessary |
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| 197 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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| 198 | |
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| 199 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 200 | ! |
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| 201 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 202 | kmxp = 0.25_wp * & |
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| 203 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 204 | kmxm = 0.25_wp * & |
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| 205 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 206 | kmyp = 0.25_wp * & |
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| 207 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 208 | kmym = 0.25_wp * & |
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| 209 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 210 | |
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| 211 | tend(k,j,i) = tend(k,j,i) & |
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| 212 | + ( fwxp(j,i) * ( & |
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| 213 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 214 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 215 | ) & |
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| 216 | - fwxm(j,i) * ( & |
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| 217 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 218 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 219 | ) & |
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| 220 | + wall_w_x(j,i) * wsus(k,j,i) & |
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| 221 | ) * ddx & |
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| 222 | + ( fwyp(j,i) * ( & |
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| 223 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 224 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 225 | ) & |
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| 226 | - fwym(j,i) * ( & |
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| 227 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 228 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 229 | ) & |
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| 230 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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| 231 | ) * ddy & |
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| 232 | + 2.0_wp * ( & |
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| 233 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 234 | * rho_air(k+1) & |
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| 235 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 236 | * rho_air(k) & |
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| 237 | ) * ddzu(k+1) * drho_air_zw(k) |
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| 238 | ENDDO |
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| 239 | ENDIF |
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| 240 | |
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| 241 | ENDDO |
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| 242 | ENDDO |
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| 243 | |
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| 244 | END SUBROUTINE diffusion_w |
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| 245 | |
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| 246 | |
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| 247 | !------------------------------------------------------------------------------! |
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| 248 | ! Description: |
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| 249 | ! ------------ |
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| 250 | !> Call for all grid points - accelerator version |
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| 251 | !------------------------------------------------------------------------------! |
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| 252 | SUBROUTINE diffusion_w_acc |
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| 253 | |
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| 254 | USE arrays_3d, & |
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| 255 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 256 | |
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| 257 | USE control_parameters, & |
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| 258 | ONLY : topography |
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| 259 | |
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| 260 | USE grid_variables, & |
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| 261 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 262 | |
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| 263 | USE indices, & |
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| 264 | ONLY : i_left, i_right, j_north, j_south, nxl, nxr, nyn, nys, nzb, & |
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| 265 | nzb_w_inner, nzb_w_outer, nzt |
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| 266 | |
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| 267 | USE kinds |
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| 268 | |
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| 269 | IMPLICIT NONE |
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| 270 | |
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| 271 | INTEGER(iwp) :: i !< |
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| 272 | INTEGER(iwp) :: j !< |
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| 273 | INTEGER(iwp) :: k !< |
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| 274 | |
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| 275 | REAL(wp) :: kmxm !< |
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| 276 | REAL(wp) :: kmxp !< |
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| 277 | REAL(wp) :: kmym !< |
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| 278 | REAL(wp) :: kmyp !< |
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| 279 | |
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| 280 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !< |
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| 281 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !< |
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| 282 | !$acc declare create ( wsus, wsvs ) |
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| 283 | |
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| 284 | ! |
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| 285 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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| 286 | !-- walls, if neccessary |
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| 287 | IF ( topography /= 'flat' ) THEN |
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| 288 | CALL wall_fluxes_acc( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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| 289 | nzb_w_inner, nzb_w_outer, wall_w_x ) |
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| 290 | CALL wall_fluxes_acc( wsvs, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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| 291 | nzb_w_inner, nzb_w_outer, wall_w_y ) |
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| 292 | ENDIF |
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| 293 | |
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| 294 | !$acc kernels present ( u, v, w, km, tend ) & |
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| 295 | !$acc present ( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y ) & |
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| 296 | !$acc present ( nzb_w_inner, nzb_w_outer ) |
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| 297 | DO i = i_left, i_right |
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| 298 | DO j = j_south, j_north |
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| 299 | DO k = 1, nzt |
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| 300 | IF ( k > nzb_w_outer(j,i) ) THEN |
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| 301 | ! |
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| 302 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 303 | kmxp = 0.25_wp * & |
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| 304 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 305 | kmxm = 0.25_wp * & |
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| 306 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 307 | kmyp = 0.25_wp * & |
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| 308 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 309 | kmym = 0.25_wp * & |
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| 310 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 311 | |
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| 312 | tend(k,j,i) = tend(k,j,i) & |
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| 313 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 314 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 315 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 316 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 317 | & ) * ddx & |
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| 318 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 319 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 320 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 321 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 322 | & ) * ddy & |
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| 323 | & + 2.0_wp * ( & |
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| 324 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 325 | & * rho_air(k+1) & |
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| 326 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 327 | & * rho_air(k) & |
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| 328 | & ) * ddzu(k+1) * drho_air_zw(k) |
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| 329 | ENDIF |
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| 330 | ENDDO |
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| 331 | |
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| 332 | ! |
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| 333 | !-- Wall functions at all vertical walls, where necessary |
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| 334 | DO k = 1,nzt |
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| 335 | |
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| 336 | IF ( k > nzb_w_inner(j,i) .AND. k <= nzb_w_outer(j,i) .AND. & |
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| 337 | wall_w_x(j,i) /= 0.0_wp .AND. wall_w_y(j,i) /= 0.0_wp ) THEN |
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| 338 | ! |
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| 339 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 340 | kmxp = 0.25_wp * & |
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| 341 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 342 | kmxm = 0.25_wp * & |
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| 343 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 344 | kmyp = 0.25_wp * & |
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| 345 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 346 | kmym = 0.25_wp * & |
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| 347 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 348 | |
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| 349 | tend(k,j,i) = tend(k,j,i) & |
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| 350 | + ( fwxp(j,i) * ( & |
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| 351 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 352 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 353 | ) & |
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| 354 | - fwxm(j,i) * ( & |
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| 355 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 356 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 357 | ) & |
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| 358 | + wall_w_x(j,i) * wsus(k,j,i) & |
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| 359 | ) * ddx & |
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| 360 | + ( fwyp(j,i) * ( & |
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| 361 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 362 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 363 | ) & |
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| 364 | - fwym(j,i) * ( & |
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| 365 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 366 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 367 | ) & |
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| 368 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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| 369 | ) * ddy & |
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| 370 | + 2.0_wp * ( & |
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| 371 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 372 | * rho_air(k+1) & |
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| 373 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 374 | * rho_air(k) & |
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| 375 | ) * ddzu(k+1) * drho_air_zw(k) |
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| 376 | ENDIF |
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| 377 | ENDDO |
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| 378 | |
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| 379 | ENDDO |
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| 380 | ENDDO |
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| 381 | !$acc end kernels |
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| 382 | |
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| 383 | END SUBROUTINE diffusion_w_acc |
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| 384 | |
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| 385 | |
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| 386 | !------------------------------------------------------------------------------! |
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| 387 | ! Description: |
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| 388 | ! ------------ |
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| 389 | !> Call for grid point i,j |
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| 390 | !------------------------------------------------------------------------------! |
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| 391 | SUBROUTINE diffusion_w_ij( i, j ) |
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| 392 | |
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| 393 | USE arrays_3d, & |
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| 394 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 395 | |
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| 396 | USE control_parameters, & |
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| 397 | ONLY : topography |
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| 398 | |
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| 399 | USE grid_variables, & |
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| 400 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 401 | |
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| 402 | USE indices, & |
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| 403 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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| 404 | |
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| 405 | USE kinds |
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| 406 | |
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| 407 | IMPLICIT NONE |
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| 408 | |
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| 409 | INTEGER(iwp) :: i !< |
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| 410 | INTEGER(iwp) :: j !< |
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| 411 | INTEGER(iwp) :: k !< |
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| 412 | |
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| 413 | REAL(wp) :: kmxm !< |
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| 414 | REAL(wp) :: kmxp !< |
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| 415 | REAL(wp) :: kmym !< |
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| 416 | REAL(wp) :: kmyp !< |
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| 417 | |
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| 418 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus |
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| 419 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs |
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| 420 | |
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| 421 | |
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| 422 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 423 | ! |
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| 424 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 425 | 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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| 426 | 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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| 427 | 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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| 428 | 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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| 429 | |
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| 430 | tend(k,j,i) = tend(k,j,i) & |
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| 431 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 432 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 433 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 434 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 435 | & ) * ddx & |
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| 436 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 437 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 438 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 439 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 440 | & ) * ddy & |
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| 441 | & + 2.0_wp * ( & |
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| 442 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 443 | & * rho_air(k+1) & |
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| 444 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 445 | & * rho_air(k) & |
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| 446 | & ) * ddzu(k+1) * drho_air_zw(k) |
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| 447 | ENDDO |
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| 448 | |
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| 449 | ! |
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| 450 | !-- Wall functions at all vertical walls, where necessary |
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| 451 | IF ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) THEN |
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| 452 | |
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| 453 | ! |
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| 454 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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| 455 | IF ( wall_w_x(j,i) /= 0.0_wp ) THEN |
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| 456 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 457 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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| 458 | ELSE |
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| 459 | wsus = 0.0_wp |
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| 460 | ENDIF |
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| 461 | |
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| 462 | IF ( wall_w_y(j,i) /= 0.0_wp ) THEN |
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| 463 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 464 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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| 465 | ELSE |
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| 466 | wsvs = 0.0_wp |
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| 467 | ENDIF |
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| 468 | |
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| 469 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 470 | ! |
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| 471 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 472 | 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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| 473 | 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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| 474 | 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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| 475 | 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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| 476 | |
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| 477 | tend(k,j,i) = tend(k,j,i) & |
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| 478 | + ( fwxp(j,i) * ( & |
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| 479 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 480 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 481 | ) & |
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| 482 | - fwxm(j,i) * ( & |
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| 483 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 484 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 485 | ) & |
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| 486 | + wall_w_x(j,i) * wsus(k) & |
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| 487 | ) * ddx & |
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| 488 | + ( fwyp(j,i) * ( & |
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| 489 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 490 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 491 | ) & |
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| 492 | - fwym(j,i) * ( & |
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| 493 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 494 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 495 | ) & |
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| 496 | + wall_w_y(j,i) * wsvs(k) & |
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| 497 | ) * ddy & |
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| 498 | + 2.0_wp * ( & |
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| 499 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 500 | * rho_air(k+1) & |
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| 501 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 502 | * rho_air(k) & |
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| 503 | ) * ddzu(k+1) * drho_air_zw(k) |
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| 504 | ENDDO |
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| 505 | ENDIF |
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| 506 | |
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| 507 | END SUBROUTINE diffusion_w_ij |
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| 508 | |
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| 509 | END MODULE diffusion_w_mod |
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