[1] | 1 | MODULE diffusion_w_mod |
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| 2 | |
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[1036] | 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later 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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[1310] | 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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[1036] | 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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[484] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1320] | 22 | ! ONLY-attribute added to USE-statements, |
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| 23 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 24 | ! kinds are defined in new module kinds, |
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| 25 | ! old module precision_kind is removed, |
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| 26 | ! revision history before 2012 removed, |
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| 27 | ! comment fields (!:) to be used for variable explanations added to |
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| 28 | ! all variable declaration statements |
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[1] | 29 | ! |
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| 30 | ! Former revisions: |
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| 31 | ! ----------------- |
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[3] | 32 | ! $Id: diffusion_w.f90 1320 2014-03-20 08:40:49Z raasch $ |
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[39] | 33 | ! |
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[1258] | 34 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 35 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 36 | ! the FORTRAN declaration statement |
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| 37 | ! |
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[1132] | 38 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 39 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 40 | ! j_north |
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| 41 | ! |
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[1037] | 42 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 43 | ! code put under GPL (PALM 3.9) |
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| 44 | ! |
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[1017] | 45 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 46 | ! accelerator version (*_acc) added |
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| 47 | ! |
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[1002] | 48 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 49 | ! arrays comunicated by module instead of parameter list |
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| 50 | ! |
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[979] | 51 | ! 978 2012-08-09 08:28:32Z fricke |
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| 52 | ! outflow damping layer removed |
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| 53 | ! kmxm_x/_z and kmxp_x/_z change to kmxm and kmxp |
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| 54 | ! kmym_y/_z and kmyp_y/_z change to kmym and kmyp |
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| 55 | ! |
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[1] | 56 | ! Revision 1.1 1997/09/12 06:24:11 raasch |
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| 57 | ! Initial revision |
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| 58 | ! |
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| 59 | ! |
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| 60 | ! Description: |
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| 61 | ! ------------ |
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| 62 | ! Diffusion term of the w-component |
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| 63 | !------------------------------------------------------------------------------! |
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| 64 | |
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[1320] | 65 | USE wall_fluxes_mod, & |
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| 66 | ONLY : wall_fluxes, wall_fluxes_acc |
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[56] | 67 | |
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[1] | 68 | PRIVATE |
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[1015] | 69 | PUBLIC diffusion_w, diffusion_w_acc |
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[1] | 70 | |
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| 71 | INTERFACE diffusion_w |
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| 72 | MODULE PROCEDURE diffusion_w |
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| 73 | MODULE PROCEDURE diffusion_w_ij |
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| 74 | END INTERFACE diffusion_w |
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| 75 | |
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[1015] | 76 | INTERFACE diffusion_w_acc |
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| 77 | MODULE PROCEDURE diffusion_w_acc |
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| 78 | END INTERFACE diffusion_w_acc |
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| 79 | |
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[1] | 80 | CONTAINS |
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| 81 | |
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| 82 | |
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| 83 | !------------------------------------------------------------------------------! |
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| 84 | ! Call for all grid points |
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| 85 | !------------------------------------------------------------------------------! |
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[1001] | 86 | SUBROUTINE diffusion_w |
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[1] | 87 | |
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[1320] | 88 | USE arrays_3d, & |
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| 89 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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| 90 | |
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| 91 | USE control_parameters, & |
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| 92 | ONLY : topography |
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| 93 | |
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| 94 | USE grid_variables, & |
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| 95 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 96 | |
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| 97 | USE indices, & |
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| 98 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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| 99 | |
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| 100 | USE kinds |
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[1] | 101 | |
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| 102 | IMPLICIT NONE |
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| 103 | |
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[1320] | 104 | INTEGER(iwp) :: i !: |
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| 105 | INTEGER(iwp) :: j !: |
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| 106 | INTEGER(iwp) :: k !: |
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| 107 | |
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| 108 | REAL(wp) :: kmxm !: |
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| 109 | REAL(wp) :: kmxp !: |
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| 110 | REAL(wp) :: kmym !: |
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| 111 | REAL(wp) :: kmyp !: |
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[1001] | 112 | |
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[1320] | 113 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !: |
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| 114 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !: |
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[1] | 115 | |
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| 116 | |
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[56] | 117 | ! |
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| 118 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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| 119 | !-- walls, if neccessary |
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| 120 | IF ( topography /= 'flat' ) THEN |
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[1320] | 121 | CALL wall_fluxes( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, nzb_w_inner, & |
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[56] | 122 | nzb_w_outer, wall_w_x ) |
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[1320] | 123 | CALL wall_fluxes( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, nzb_w_inner, & |
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[56] | 124 | nzb_w_outer, wall_w_y ) |
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| 125 | ENDIF |
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| 126 | |
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[1] | 127 | DO i = nxl, nxr |
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| 128 | DO j = nys, nyn |
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| 129 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 130 | ! |
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| 131 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[978] | 132 | kmxp = 0.25 * & |
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| 133 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 134 | kmxm = 0.25 * & |
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| 135 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 136 | kmyp = 0.25 * & |
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| 137 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 138 | kmym = 0.25 * & |
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| 139 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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[1] | 140 | |
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| 141 | tend(k,j,i) = tend(k,j,i) & |
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[978] | 142 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 143 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 144 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 145 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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[1] | 146 | & ) * ddx & |
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[978] | 147 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 148 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 149 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 150 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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[1] | 151 | & ) * ddy & |
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| 152 | & + 2.0 * ( & |
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| 153 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 154 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 155 | & ) * ddzu(k+1) |
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| 156 | ENDDO |
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| 157 | |
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| 158 | ! |
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| 159 | !-- Wall functions at all vertical walls, where necessary |
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| 160 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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[51] | 161 | |
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[1] | 162 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 163 | ! |
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| 164 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[978] | 165 | kmxp = 0.25 * & |
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| 166 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 167 | kmxm = 0.25 * & |
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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 | kmyp = 0.25 * & |
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| 170 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 171 | kmym = 0.25 * & |
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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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[1] | 173 | |
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| 174 | tend(k,j,i) = tend(k,j,i) & |
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| 175 | + ( fwxp(j,i) * ( & |
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[978] | 176 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 177 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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[1] | 178 | ) & |
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| 179 | - fwxm(j,i) * ( & |
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[978] | 180 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 181 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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[1] | 182 | ) & |
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[56] | 183 | + wall_w_x(j,i) * wsus(k,j,i) & |
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[1] | 184 | ) * ddx & |
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| 185 | + ( fwyp(j,i) * ( & |
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[978] | 186 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 187 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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[1] | 188 | ) & |
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| 189 | - fwym(j,i) * ( & |
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[978] | 190 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 191 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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[1] | 192 | ) & |
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[56] | 193 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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[1] | 194 | ) * ddy & |
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| 195 | + 2.0 * ( & |
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| 196 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 197 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 198 | ) * ddzu(k+1) |
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| 199 | ENDDO |
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| 200 | ENDIF |
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| 201 | |
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| 202 | ENDDO |
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| 203 | ENDDO |
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| 204 | |
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| 205 | END SUBROUTINE diffusion_w |
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| 206 | |
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| 207 | |
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| 208 | !------------------------------------------------------------------------------! |
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[1015] | 209 | ! Call for all grid points - accelerator version |
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| 210 | !------------------------------------------------------------------------------! |
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| 211 | SUBROUTINE diffusion_w_acc |
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| 212 | |
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[1320] | 213 | USE arrays_3d, & |
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| 214 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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| 215 | |
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| 216 | USE control_parameters, & |
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| 217 | ONLY : topography |
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| 218 | |
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| 219 | USE grid_variables, & |
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| 220 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 221 | |
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| 222 | USE indices, & |
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| 223 | ONLY : i_left, i_right, j_north, j_south, nxl, nxr, nyn, nys, nzb, & |
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| 224 | nzb_w_inner, nzb_w_outer, nzt |
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| 225 | |
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| 226 | USE kinds |
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[1015] | 227 | |
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| 228 | IMPLICIT NONE |
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| 229 | |
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[1320] | 230 | INTEGER(iwp) :: i !: |
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| 231 | INTEGER(iwp) :: j !: |
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| 232 | INTEGER(iwp) :: k !: |
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| 233 | |
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| 234 | REAL(wp) :: kmxm !: |
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| 235 | REAL(wp) :: kmxp !: |
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| 236 | REAL(wp) :: kmym !: |
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| 237 | REAL(wp) :: kmyp !: |
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[1015] | 238 | |
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[1320] | 239 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !: |
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| 240 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !: |
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[1015] | 241 | !$acc declare create ( wsus, wsvs ) |
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| 242 | |
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| 243 | ! |
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| 244 | !-- First calculate horizontal momentum flux w'u' and/or w'v' at vertical |
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| 245 | !-- walls, if neccessary |
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| 246 | IF ( topography /= 'flat' ) THEN |
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[1320] | 247 | CALL wall_fluxes_acc( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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| 248 | nzb_w_inner, nzb_w_outer, wall_w_x ) |
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| 249 | CALL wall_fluxes_acc( wsvs, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, & |
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| 250 | nzb_w_inner, nzb_w_outer, wall_w_y ) |
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[1015] | 251 | ENDIF |
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| 252 | |
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| 253 | !$acc kernels present ( u, v, w, km, tend, vsws, vswst ) & |
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| 254 | !$acc present ( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y ) & |
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| 255 | !$acc present ( nzb_w_inner, nzb_w_outer ) |
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[1128] | 256 | DO i = i_left, i_right |
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| 257 | DO j = j_south, j_north |
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[1015] | 258 | DO k = 1, nzt |
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| 259 | IF ( k > nzb_w_outer(j,i) ) THEN |
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| 260 | ! |
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| 261 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 262 | kmxp = 0.25 * & |
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| 263 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 264 | kmxm = 0.25 * & |
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| 265 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 266 | kmyp = 0.25 * & |
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| 267 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 268 | kmym = 0.25 * & |
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| 269 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 270 | |
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| 271 | tend(k,j,i) = tend(k,j,i) & |
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| 272 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 273 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 274 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 275 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 276 | & ) * ddx & |
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| 277 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 278 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 279 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 280 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 281 | & ) * ddy & |
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| 282 | & + 2.0 * ( & |
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| 283 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 284 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 285 | & ) * ddzu(k+1) |
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| 286 | ENDIF |
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| 287 | ENDDO |
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| 288 | |
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| 289 | ! |
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| 290 | !-- Wall functions at all vertical walls, where necessary |
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| 291 | DO k = 1,nzt |
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| 292 | |
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| 293 | IF ( k > nzb_w_inner(j,i) .AND. k <= nzb_w_outer(j,i) .AND. & |
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| 294 | wall_w_x(j,i) /= 0.0 .AND. wall_w_y(j,i) /= 0.0 ) THEN |
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| 295 | ! |
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| 296 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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| 297 | kmxp = 0.25 * & |
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| 298 | ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 299 | kmxm = 0.25 * & |
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| 300 | ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 301 | kmyp = 0.25 * & |
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| 302 | ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 303 | kmym = 0.25 * & |
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| 304 | ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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| 305 | |
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| 306 | tend(k,j,i) = tend(k,j,i) & |
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| 307 | + ( fwxp(j,i) * ( & |
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| 308 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 309 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 310 | ) & |
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| 311 | - fwxm(j,i) * ( & |
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| 312 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 313 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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| 314 | ) & |
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| 315 | + wall_w_x(j,i) * wsus(k,j,i) & |
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| 316 | ) * ddx & |
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| 317 | + ( fwyp(j,i) * ( & |
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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 | ) & |
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| 321 | - fwym(j,i) * ( & |
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| 322 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 323 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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| 324 | ) & |
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| 325 | + wall_w_y(j,i) * wsvs(k,j,i) & |
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| 326 | ) * ddy & |
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| 327 | + 2.0 * ( & |
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| 328 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 329 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 330 | ) * ddzu(k+1) |
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| 331 | ENDIF |
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| 332 | ENDDO |
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| 333 | |
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| 334 | ENDDO |
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| 335 | ENDDO |
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| 336 | !$acc end kernels |
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| 337 | |
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| 338 | END SUBROUTINE diffusion_w_acc |
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| 339 | |
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| 340 | |
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| 341 | !------------------------------------------------------------------------------! |
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[1] | 342 | ! Call for grid point i,j |
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| 343 | !------------------------------------------------------------------------------! |
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[1001] | 344 | SUBROUTINE diffusion_w_ij( i, j ) |
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[1] | 345 | |
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[1320] | 346 | USE arrays_3d, & |
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| 347 | ONLY : ddzu, ddzw, km, tend, u, v, w |
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| 348 | |
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| 349 | USE control_parameters, & |
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| 350 | ONLY : topography |
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| 351 | |
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| 352 | USE grid_variables, & |
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| 353 | ONLY : ddx, ddy, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 354 | |
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| 355 | USE indices, & |
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| 356 | ONLY : nxl, nxr, nyn, nys, nzb, nzb_w_inner, nzb_w_outer, nzt |
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| 357 | |
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| 358 | USE kinds |
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[1] | 359 | |
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| 360 | IMPLICIT NONE |
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| 361 | |
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[1320] | 362 | INTEGER(iwp) :: i !: |
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| 363 | INTEGER(iwp) :: j !: |
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| 364 | INTEGER(iwp) :: k !: |
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| 365 | |
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| 366 | REAL(wp) :: kmxm !: |
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| 367 | REAL(wp) :: kmxp !: |
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| 368 | REAL(wp) :: kmym !: |
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| 369 | REAL(wp) :: kmyp !: |
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[1] | 370 | |
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[1320] | 371 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus |
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| 372 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs |
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[1] | 373 | |
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[1001] | 374 | |
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[1] | 375 | DO k = nzb_w_outer(j,i)+1, nzt-1 |
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| 376 | ! |
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| 377 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[978] | 378 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 379 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 380 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 381 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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[1] | 382 | |
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| 383 | tend(k,j,i) = tend(k,j,i) & |
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[978] | 384 | & + ( kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 385 | & + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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| 386 | & - kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 387 | & - kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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[1] | 388 | & ) * ddx & |
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[978] | 389 | & + ( kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 390 | & + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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| 391 | & - kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 392 | & - kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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[1] | 393 | & ) * ddy & |
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| 394 | & + 2.0 * ( & |
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| 395 | & km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 396 | & - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 397 | & ) * ddzu(k+1) |
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| 398 | ENDDO |
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| 399 | |
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| 400 | ! |
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| 401 | !-- Wall functions at all vertical walls, where necessary |
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| 402 | IF ( wall_w_x(j,i) /= 0.0 .OR. wall_w_y(j,i) /= 0.0 ) THEN |
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[51] | 403 | |
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| 404 | ! |
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| 405 | !-- Calculate the horizontal momentum fluxes w'u' and/or w'v' |
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| 406 | IF ( wall_w_x(j,i) /= 0.0 ) THEN |
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[1320] | 407 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 408 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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[51] | 409 | ELSE |
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| 410 | wsus = 0.0 |
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| 411 | ENDIF |
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| 412 | |
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| 413 | IF ( wall_w_y(j,i) /= 0.0 ) THEN |
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[1320] | 414 | CALL wall_fluxes( i, j, nzb_w_inner(j,i)+1, nzb_w_outer(j,i), & |
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| 415 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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[51] | 416 | ELSE |
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| 417 | wsvs = 0.0 |
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| 418 | ENDIF |
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| 419 | |
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[1] | 420 | DO k = nzb_w_inner(j,i)+1, nzb_w_outer(j,i) |
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| 421 | ! |
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| 422 | !-- Interpolate eddy diffusivities on staggered gridpoints |
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[978] | 423 | kmxp = 0.25 * ( km(k,j,i)+km(k,j,i+1)+km(k+1,j,i)+km(k+1,j,i+1) ) |
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| 424 | kmxm = 0.25 * ( km(k,j,i)+km(k,j,i-1)+km(k+1,j,i)+km(k+1,j,i-1) ) |
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| 425 | kmyp = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j+1,i)+km(k+1,j+1,i) ) |
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| 426 | kmym = 0.25 * ( km(k,j,i)+km(k+1,j,i)+km(k,j-1,i)+km(k+1,j-1,i) ) |
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[1] | 427 | |
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| 428 | tend(k,j,i) = tend(k,j,i) & |
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| 429 | + ( fwxp(j,i) * ( & |
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[978] | 430 | kmxp * ( w(k,j,i+1) - w(k,j,i) ) * ddx & |
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| 431 | + kmxp * ( u(k+1,j,i+1) - u(k,j,i+1) ) * ddzu(k+1) & |
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[1] | 432 | ) & |
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| 433 | - fwxm(j,i) * ( & |
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[978] | 434 | kmxm * ( w(k,j,i) - w(k,j,i-1) ) * ddx & |
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| 435 | + kmxm * ( u(k+1,j,i) - u(k,j,i) ) * ddzu(k+1) & |
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[1] | 436 | ) & |
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[51] | 437 | + wall_w_x(j,i) * wsus(k) & |
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[1] | 438 | ) * ddx & |
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| 439 | + ( fwyp(j,i) * ( & |
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[978] | 440 | kmyp * ( w(k,j+1,i) - w(k,j,i) ) * ddy & |
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| 441 | + kmyp * ( v(k+1,j+1,i) - v(k,j+1,i) ) * ddzu(k+1) & |
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[1] | 442 | ) & |
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| 443 | - fwym(j,i) * ( & |
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[978] | 444 | kmym * ( w(k,j,i) - w(k,j-1,i) ) * ddy & |
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| 445 | + kmym * ( v(k+1,j,i) - v(k,j,i) ) * ddzu(k+1) & |
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[1] | 446 | ) & |
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[51] | 447 | + wall_w_y(j,i) * wsvs(k) & |
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[1] | 448 | ) * ddy & |
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| 449 | + 2.0 * ( & |
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| 450 | km(k+1,j,i) * ( w(k+1,j,i) - w(k,j,i) ) * ddzw(k+1) & |
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| 451 | - km(k,j,i) * ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) & |
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| 452 | ) * ddzu(k+1) |
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| 453 | ENDDO |
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| 454 | ENDIF |
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| 455 | |
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| 456 | END SUBROUTINE diffusion_w_ij |
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| 457 | |
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[1320] | 458 | END MODULE diffusion_w_mod |
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