| 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 |
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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 1997-2018 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 3241 2018-09-12 15:02:00Z suehring $ |
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| 27 | ! unused variables removed |
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| 28 | ! |
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| 29 | ! 2718 2018-01-02 08:49:38Z maronga |
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| 30 | ! Corrected "Former revisions" section |
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| 31 | ! |
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| 32 | ! 2696 2017-12-14 17:12:51Z kanani |
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| 33 | ! Change in file header (GPL part) |
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| 34 | ! |
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| 35 | ! 2233 2017-05-30 18:08:54Z suehring |
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| 36 | ! |
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| 37 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 38 | ! Adjustments to new topography and surface concept |
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| 39 | ! |
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| 40 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 41 | ! OpenACC version of subroutine removed |
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| 42 | ! |
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| 43 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 44 | ! Anelastic approximation implemented |
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| 45 | ! |
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| 46 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 47 | ! Forced header and separation lines into 80 columns |
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| 48 | ! |
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| 49 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 50 | ! Module renamed (removed _mod) |
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| 51 | ! |
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| 52 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 53 | ! Module renamed |
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| 54 | ! |
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| 55 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 56 | ! Code annotations made doxygen readable |
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| 57 | ! |
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| 58 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 59 | ! vsws + vswst removed from acc-present-list |
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| 60 | ! |
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| 61 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 62 | ! REAL constants provided with KIND-attribute |
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| 63 | ! |
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| 64 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 65 | ! REAL constants defined as wp-kind |
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| 66 | ! |
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| 67 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 68 | ! REAL constants defined as wp-kind |
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| 69 | ! |
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| 70 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 71 | ! ONLY-attribute added to USE-statements, |
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| 72 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 73 | ! kinds are defined in new module kinds, |
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| 74 | ! revision history before 2012 removed, |
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| 75 | ! comment fields (!:) to be used for variable explanations added to |
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| 76 | ! all variable declaration statements |
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| 77 | ! |
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| 78 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 79 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 80 | ! the FORTRAN declaration statement |
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| 81 | ! |
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| 82 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 83 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 84 | ! j_north |
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| 85 | ! |
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| 86 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 87 | ! code put under GPL (PALM 3.9) |
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| 88 | ! |
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| 89 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 90 | ! accelerator version (*_acc) added |
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| 91 | ! |
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| 92 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 93 | ! arrays comunicated by module instead of parameter list |
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| 94 | ! |
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| 95 | ! 978 2012-08-09 08:28:32Z fricke |
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| 96 | ! outflow damping layer removed |
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| 97 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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| 98 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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| 99 | ! |
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| 100 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 101 | ! Initial revision |
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| 102 | ! |
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| 103 | ! |
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| 104 | ! Description: |
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| 105 | ! ------------ |
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| 106 | !> Diffusion term of the w-component |
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| 107 | !------------------------------------------------------------------------------! |
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| 108 | MODULE diffusion_w_mod |
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| 109 | |
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| 110 | |
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| 111 | PRIVATE |
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| 112 | PUBLIC diffusion_w |
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| 113 | |
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| 114 | INTERFACE diffusion_w |
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| 115 | MODULE PROCEDURE diffusion_w |
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| 116 | MODULE PROCEDURE diffusion_w_ij |
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| 117 | END INTERFACE diffusion_w |
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| 118 | |
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| 119 | CONTAINS |
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| 120 | |
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| 121 | |
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| 122 | !------------------------------------------------------------------------------! |
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| 123 | ! Description: |
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| 124 | ! ------------ |
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| 125 | !> Call for all grid points |
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| 126 | !------------------------------------------------------------------------------! |
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| 127 | SUBROUTINE diffusion_w |
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| 128 | |
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| 129 | USE arrays_3d, & |
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| 130 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 131 | |
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| 132 | USE grid_variables, & |
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| 133 | ONLY : ddx, ddy |
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| 134 | |
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| 135 | USE indices, & |
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| 136 | ONLY : nxl, nxr, nyn, nys, nzb, nzt, wall_flags_0 |
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| 137 | |
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| 138 | USE kinds |
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| 139 | |
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| 140 | USE surface_mod, & |
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| 141 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 142 | |
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| 143 | IMPLICIT NONE |
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| 144 | |
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| 145 | INTEGER(iwp) :: i !< running index x direction |
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| 146 | INTEGER(iwp) :: j !< running index y direction |
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| 147 | INTEGER(iwp) :: k !< running index z direction |
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| 148 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 149 | INTEGER(iwp) :: m !< running index surface elements |
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| 150 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 151 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 152 | |
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| 153 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 154 | REAL(wp) :: kmxm !< |
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| 155 | REAL(wp) :: kmxp !< |
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| 156 | REAL(wp) :: kmym !< |
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| 157 | REAL(wp) :: kmyp !< |
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| 158 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 159 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 160 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 161 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 162 | |
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| 163 | |
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| 164 | |
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| 165 | DO i = nxl, nxr |
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| 166 | DO j = nys, nyn |
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| 167 | DO k = nzb+1, nzt-1 |
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| 168 | ! |
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| 169 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 170 | flag = MERGE( 1.0_wp, 0.0_wp, & |
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| 171 | BTEST( wall_flags_0(k,j,i), 3 ) ) |
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| 172 | mask_east = MERGE( 1.0_wp, 0.0_wp, & |
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| 173 | BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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| 174 | mask_west = MERGE( 1.0_wp, 0.0_wp, & |
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| 175 | BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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| 176 | mask_south = MERGE( 1.0_wp, 0.0_wp, & |
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| 177 | BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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| 178 | mask_north = MERGE( 1.0_wp, 0.0_wp, & |
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| 179 | BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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| 180 | ! |
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| 181 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 182 | kmxp = 0.25_wp * ( km(k,j,i) + km(k,j,i+1) + & |
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| 183 | km(k+1,j,i) + km(k+1,j,i+1) ) |
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| 184 | kmxm = 0.25_wp * ( km(k,j,i) + km(k,j,i-1) + & |
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| 185 | km(k+1,j,i) + km(k+1,j,i-1) ) |
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| 186 | kmyp = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 187 | km(k,j+1,i) + km(k+1,j+1,i) ) |
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| 188 | kmym = 0.25_wp * ( km(k,j,i) + km(k+1,j,i) + & |
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| 189 | km(k,j-1,i) + km(k+1,j-1,i) ) |
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| 190 | |
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| 191 | tend(k,j,i) = tend(k,j,i) & |
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| 192 | + ( mask_east * kmxp * ( & |
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| 193 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 194 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 195 | ) & |
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| 196 | - mask_west * kmxm * ( & |
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| 197 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 198 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 199 | ) & |
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| 200 | ) * ddx * flag & |
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| 201 | + ( mask_north * kmyp * ( & |
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| 202 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 203 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 204 | ) & |
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| 205 | - mask_south * kmym * ( & |
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| 206 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 207 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 208 | ) & |
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| 209 | ) * ddy * flag & |
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| 210 | + 2.0_wp * ( & |
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| 211 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 212 | * rho_air(k+1) & |
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| 213 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 214 | * rho_air(k) & |
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| 215 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 216 | ENDDO |
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| 217 | |
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| 218 | ! |
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| 219 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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| 220 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 221 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 222 | !-- so far. |
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| 223 | !-- Default-type surfaces |
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| 224 | DO l = 0, 1 |
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| 225 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 226 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 227 | DO m = surf_s, surf_e |
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| 228 | k = surf_def_v(l)%k(m) |
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| 229 | tend(k,j,i) = tend(k,j,i) + & |
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| 230 | surf_def_v(l)%mom_flux_w(m) * ddy |
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| 231 | ENDDO |
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| 232 | ENDDO |
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| 233 | ! |
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| 234 | !-- Natural-type surfaces |
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| 235 | DO l = 0, 1 |
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| 236 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 237 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 238 | DO m = surf_s, surf_e |
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| 239 | k = surf_lsm_v(l)%k(m) |
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| 240 | tend(k,j,i) = tend(k,j,i) + & |
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| 241 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 242 | ENDDO |
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| 243 | ENDDO |
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| 244 | ! |
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| 245 | !-- Urban-type surfaces |
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| 246 | DO l = 0, 1 |
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| 247 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 248 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 249 | DO m = surf_s, surf_e |
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| 250 | k = surf_usm_v(l)%k(m) |
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| 251 | tend(k,j,i) = tend(k,j,i) + & |
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| 252 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 253 | ENDDO |
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| 254 | ENDDO |
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| 255 | ! |
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| 256 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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| 257 | !-- surface. |
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| 258 | !-- Default-type surfaces |
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| 259 | DO l = 2, 3 |
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| 260 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 261 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 262 | DO m = surf_s, surf_e |
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| 263 | k = surf_def_v(l)%k(m) |
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| 264 | tend(k,j,i) = tend(k,j,i) + & |
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| 265 | surf_def_v(l)%mom_flux_w(m) * ddx |
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| 266 | ENDDO |
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| 267 | ENDDO |
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| 268 | ! |
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| 269 | !-- Natural-type surfaces |
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| 270 | DO l = 2, 3 |
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| 271 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 272 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 273 | DO m = surf_s, surf_e |
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| 274 | k = surf_lsm_v(l)%k(m) |
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| 275 | tend(k,j,i) = tend(k,j,i) + & |
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| 276 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 277 | ENDDO |
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| 278 | ENDDO |
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| 279 | ! |
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| 280 | !-- Urban-type surfaces |
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| 281 | DO l = 2, 3 |
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| 282 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 283 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 284 | DO m = surf_s, surf_e |
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| 285 | k = surf_usm_v(l)%k(m) |
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| 286 | tend(k,j,i) = tend(k,j,i) + & |
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| 287 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 288 | ENDDO |
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| 289 | ENDDO |
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| 290 | |
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| 291 | ENDDO |
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| 292 | ENDDO |
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| 293 | |
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| 294 | END SUBROUTINE diffusion_w |
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| 295 | |
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| 296 | |
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| 297 | !------------------------------------------------------------------------------! |
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| 298 | ! Description: |
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| 299 | ! ------------ |
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| 300 | !> Call for grid point i,j |
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| 301 | !------------------------------------------------------------------------------! |
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| 302 | SUBROUTINE diffusion_w_ij( i, j ) |
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| 303 | |
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| 304 | USE arrays_3d, & |
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| 305 | ONLY : ddzu, ddzw, km, tend, u, v, w, drho_air_zw, rho_air |
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| 306 | |
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| 307 | USE grid_variables, & |
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| 308 | ONLY : ddx, ddy |
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| 309 | |
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| 310 | USE indices, & |
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| 311 | ONLY : nzb, nzt, wall_flags_0 |
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| 312 | |
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| 313 | USE kinds |
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| 314 | |
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| 315 | USE surface_mod, & |
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| 316 | ONLY : surf_def_v, surf_lsm_v, surf_usm_v |
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| 317 | |
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| 318 | IMPLICIT NONE |
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| 319 | |
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| 320 | |
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| 321 | INTEGER(iwp) :: i !< running index x direction |
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| 322 | INTEGER(iwp) :: j !< running index y direction |
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| 323 | INTEGER(iwp) :: k !< running index z direction |
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| 324 | INTEGER(iwp) :: l !< running index of surface type, south- or north-facing wall |
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| 325 | INTEGER(iwp) :: m !< running index surface elements |
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| 326 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 327 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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| 328 | |
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| 329 | REAL(wp) :: flag !< flag to mask topography grid points |
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| 330 | REAL(wp) :: kmxm !< |
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| 331 | REAL(wp) :: kmxp !< |
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| 332 | REAL(wp) :: kmym !< |
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| 333 | REAL(wp) :: kmyp !< |
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| 334 | REAL(wp) :: mask_west !< flag to mask vertical wall west of the grid point |
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| 335 | REAL(wp) :: mask_east !< flag to mask vertical wall east of the grid point |
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| 336 | REAL(wp) :: mask_south !< flag to mask vertical wall south of the grid point |
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| 337 | REAL(wp) :: mask_north !< flag to mask vertical wall north of the grid point |
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| 338 | |
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| 339 | |
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| 340 | DO k = nzb+1, nzt-1 |
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| 341 | ! |
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| 342 | !-- Predetermine flag to mask topography and wall-bounded grid points. |
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| 343 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 3 ) ) |
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| 344 | mask_east = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i+1), 3 ) ) |
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| 345 | mask_west = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i-1), 3 ) ) |
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| 346 | mask_south = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j-1,i), 3 ) ) |
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| 347 | mask_north = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j+1,i), 3 ) ) |
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| 348 | ! |
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| 349 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 350 | 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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| 351 | 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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| 352 | 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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| 353 | 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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| 354 | |
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| 355 | tend(k,j,i) = tend(k,j,i) & |
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| 356 | + ( mask_east * kmxp * ( & |
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| 357 | ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 358 | + ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 359 | ) & |
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| 360 | - mask_west * kmxm * ( & |
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| 361 | ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 362 | + ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 363 | ) & |
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| 364 | ) * ddx * flag & |
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| 365 | + ( mask_north * kmyp * ( & |
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| 366 | ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 367 | + ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 368 | ) & |
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| 369 | - mask_south * kmym * ( & |
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| 370 | ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 371 | + ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 372 | ) & |
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| 373 | ) * ddy * flag & |
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| 374 | + 2.0_wp * ( & |
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| 375 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 376 | * rho_air(k+1) & |
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| 377 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 378 | * rho_air(k) & |
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| 379 | ) * ddzu(k+1) * drho_air_zw(k) * flag |
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| 380 | ENDDO |
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| 381 | ! |
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| 382 | !-- Add horizontal momentum flux v'w' at north- (l=0) and south-facing (l=1) |
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| 383 | !-- surfaces. Note, in the the flat case, loops won't be entered as |
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| 384 | !-- start_index > end_index. Furtermore, note, no vertical natural surfaces |
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| 385 | !-- so far. |
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| 386 | !-- Default-type surfaces |
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| 387 | DO l = 0, 1 |
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| 388 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 389 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 390 | DO m = surf_s, surf_e |
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| 391 | k = surf_def_v(l)%k(m) |
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| 392 | tend(k,j,i) = tend(k,j,i) + & |
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| 393 | surf_def_v(l)%mom_flux_w(m) * ddy |
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| 394 | ENDDO |
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| 395 | ENDDO |
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| 396 | ! |
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| 397 | !-- Natural-type surfaces |
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| 398 | DO l = 0, 1 |
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| 399 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 400 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 401 | DO m = surf_s, surf_e |
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| 402 | k = surf_lsm_v(l)%k(m) |
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| 403 | tend(k,j,i) = tend(k,j,i) + & |
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| 404 | surf_lsm_v(l)%mom_flux_w(m) * ddy |
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| 405 | ENDDO |
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| 406 | ENDDO |
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| 407 | ! |
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| 408 | !-- Urban-type surfaces |
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| 409 | DO l = 0, 1 |
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| 410 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 411 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 412 | DO m = surf_s, surf_e |
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| 413 | k = surf_usm_v(l)%k(m) |
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| 414 | tend(k,j,i) = tend(k,j,i) + & |
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| 415 | surf_usm_v(l)%mom_flux_w(m) * ddy |
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| 416 | ENDDO |
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| 417 | ENDDO |
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| 418 | ! |
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| 419 | !-- Add horizontal momentum flux u'w' at east- (l=2) and west-facing (l=3) |
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| 420 | !-- surfaces. |
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| 421 | !-- Default-type surfaces |
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| 422 | DO l = 2, 3 |
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| 423 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 424 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 425 | DO m = surf_s, surf_e |
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| 426 | k = surf_def_v(l)%k(m) |
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| 427 | tend(k,j,i) = tend(k,j,i) + & |
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| 428 | surf_def_v(l)%mom_flux_w(m) * ddx |
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| 429 | ENDDO |
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| 430 | ENDDO |
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| 431 | ! |
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| 432 | !-- Natural-type surfaces |
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| 433 | DO l = 2, 3 |
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| 434 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 435 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 436 | DO m = surf_s, surf_e |
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| 437 | k = surf_lsm_v(l)%k(m) |
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| 438 | tend(k,j,i) = tend(k,j,i) + & |
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| 439 | surf_lsm_v(l)%mom_flux_w(m) * ddx |
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| 440 | ENDDO |
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| 441 | ENDDO |
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| 442 | ! |
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| 443 | !-- Urban-type surfaces |
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| 444 | DO l = 2, 3 |
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| 445 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 446 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 447 | DO m = surf_s, surf_e |
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| 448 | k = surf_usm_v(l)%k(m) |
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| 449 | tend(k,j,i) = tend(k,j,i) + & |
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| 450 | surf_usm_v(l)%mom_flux_w(m) * ddx |
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| 451 | ENDDO |
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| 452 | ENDDO |
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| 453 | |
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| 454 | |
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| 455 | END SUBROUTINE diffusion_w_ij |
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| 456 | |
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| 457 | END MODULE diffusion_w_mod |
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