| 1 | !> @file diffusion_s.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_s.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 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 43 | ! Formatting corrections. |
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| 44 | ! |
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| 45 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 46 | ! Code annotations made doxygen readable |
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| 47 | ! |
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| 48 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 49 | ! missing variables added to ONLY list |
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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 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 55 | ! ONLY-attribute added to USE-statements, |
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| 56 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 57 | ! kinds are defined in new module kinds, |
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| 58 | ! revision history before 2012 removed, |
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| 59 | ! comment fields (!:) to be used for variable explanations added to |
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| 60 | ! all variable declaration statements |
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| 61 | ! |
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| 62 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 63 | ! openacc loop and loop vector clauses removed |
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| 64 | ! |
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| 65 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 66 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 67 | ! j_north |
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| 68 | ! |
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| 69 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 70 | ! unused variables removed |
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| 71 | ! |
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| 72 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 73 | ! code put under GPL (PALM 3.9) |
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| 74 | ! |
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| 75 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 76 | ! accelerator version (*_acc) added |
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| 77 | ! |
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| 78 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 79 | ! cpp switch __nopointer added for pointer free version |
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| 80 | ! |
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| 81 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 82 | ! some arrays comunicated by module instead of parameter list |
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| 83 | ! |
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| 84 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 85 | ! Initial revision |
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| 86 | ! |
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| 87 | ! |
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| 88 | ! Description: |
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| 89 | ! ------------ |
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| 90 | !> Diffusion term of scalar quantities (temperature and water content) |
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| 91 | !------------------------------------------------------------------------------! |
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| 92 | MODULE diffusion_s_mod |
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| 93 | |
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| 94 | |
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| 95 | PRIVATE |
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| 96 | PUBLIC diffusion_s, diffusion_s_acc |
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| 97 | |
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| 98 | INTERFACE diffusion_s |
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| 99 | MODULE PROCEDURE diffusion_s |
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| 100 | MODULE PROCEDURE diffusion_s_ij |
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| 101 | END INTERFACE diffusion_s |
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| 102 | |
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| 103 | INTERFACE diffusion_s_acc |
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| 104 | MODULE PROCEDURE diffusion_s_acc |
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| 105 | END INTERFACE diffusion_s_acc |
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| 106 | |
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| 107 | CONTAINS |
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| 108 | |
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| 109 | |
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| 110 | !------------------------------------------------------------------------------! |
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| 111 | ! Description: |
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| 112 | ! ------------ |
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| 113 | !> Call for all grid points |
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| 114 | !------------------------------------------------------------------------------! |
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| 115 | SUBROUTINE diffusion_s( s, s_flux_b, s_flux_t, wall_s_flux ) |
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| 116 | |
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| 117 | USE arrays_3d, & |
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| 118 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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| 119 | |
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| 120 | USE control_parameters, & |
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| 121 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 122 | |
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| 123 | USE grid_variables, & |
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| 124 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 125 | |
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| 126 | USE indices, & |
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| 127 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
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| 128 | nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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| 129 | |
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| 130 | USE kinds |
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| 131 | |
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| 132 | IMPLICIT NONE |
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| 133 | |
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| 134 | INTEGER(iwp) :: i !< |
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| 135 | INTEGER(iwp) :: j !< |
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| 136 | INTEGER(iwp) :: k !< |
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| 137 | REAL(wp) :: wall_s_flux(0:4) !< |
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| 138 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b, s_flux_t !< |
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| 139 | #if defined( __nopointer ) |
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| 140 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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| 141 | #else |
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| 142 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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| 143 | #endif |
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| 144 | |
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| 145 | DO i = nxl, nxr |
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| 146 | DO j = nys,nyn |
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| 147 | ! |
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| 148 | !-- Compute horizontal diffusion |
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| 149 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 150 | |
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| 151 | tend(k,j,i) = tend(k,j,i) & |
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| 152 | + 0.5_wp * ( & |
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| 153 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 154 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 155 | ) * ddx2 & |
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| 156 | + 0.5_wp * ( & |
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| 157 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 158 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 159 | ) * ddy2 |
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| 160 | ENDDO |
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| 161 | |
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| 162 | ! |
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| 163 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 164 | IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) & |
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| 165 | ) THEN |
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| 166 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 167 | |
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| 168 | tend(k,j,i) = tend(k,j,i) & |
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| 169 | + ( fwxp(j,i) * 0.5_wp * & |
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| 170 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 171 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 172 | -fwxm(j,i) * 0.5_wp * & |
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| 173 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 174 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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| 175 | ) * ddx2 & |
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| 176 | + ( fwyp(j,i) * 0.5_wp * & |
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| 177 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 178 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 179 | -fwym(j,i) * 0.5_wp * & |
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| 180 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 181 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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| 182 | ) * ddy2 |
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| 183 | ENDDO |
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| 184 | ENDIF |
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| 185 | |
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| 186 | ! |
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| 187 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 188 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 189 | !-- nzb+2 or nzt-1, respectively. |
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| 190 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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| 191 | |
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| 192 | tend(k,j,i) = tend(k,j,i) & |
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| 193 | + 0.5_wp * ( & |
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| 194 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 195 | * rho_air_zw(k) & |
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| 196 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 197 | * rho_air_zw(k-1) & |
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| 198 | ) * ddzw(k) * drho_air(k) |
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| 199 | ENDDO |
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| 200 | |
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| 201 | ! |
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| 202 | !-- Vertical diffusion at the first computational gridpoint along |
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| 203 | !-- z-direction |
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| 204 | IF ( use_surface_fluxes ) THEN |
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| 205 | |
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| 206 | k = nzb_s_inner(j,i)+1 |
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| 207 | |
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| 208 | tend(k,j,i) = tend(k,j,i) & |
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| 209 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 210 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 211 | * ddzu(k+1) & |
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| 212 | * rho_air_zw(k) & |
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| 213 | + s_flux_b(j,i) & |
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| 214 | ) * ddzw(k) * drho_air(k) |
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| 215 | |
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| 216 | ENDIF |
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| 217 | |
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| 218 | ! |
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| 219 | !-- Vertical diffusion at the last computational gridpoint along |
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| 220 | !-- z-direction |
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| 221 | IF ( use_top_fluxes ) THEN |
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| 222 | |
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| 223 | k = nzt |
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| 224 | |
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| 225 | tend(k,j,i) = tend(k,j,i) & |
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| 226 | + ( - s_flux_t(j,i) & |
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| 227 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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| 228 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 229 | * ddzu(k) & |
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| 230 | * rho_air_zw(k-1) & |
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| 231 | ) * ddzw(k) * drho_air(k) |
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| 232 | |
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| 233 | ENDIF |
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| 234 | |
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| 235 | ENDDO |
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| 236 | ENDDO |
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| 237 | |
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| 238 | END SUBROUTINE diffusion_s |
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| 239 | |
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| 240 | |
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| 241 | !------------------------------------------------------------------------------! |
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| 242 | ! Description: |
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| 243 | ! ------------ |
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| 244 | !> Call for all grid points - accelerator version |
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| 245 | !------------------------------------------------------------------------------! |
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| 246 | SUBROUTINE diffusion_s_acc( s, s_flux_b, s_flux_t, wall_s_flux ) |
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| 247 | |
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| 248 | USE arrays_3d, & |
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| 249 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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| 250 | |
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| 251 | USE control_parameters, & |
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| 252 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 253 | |
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| 254 | USE grid_variables, & |
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| 255 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 256 | |
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| 257 | USE indices, & |
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| 258 | ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, & |
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| 259 | nzb, nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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| 260 | |
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| 261 | USE kinds |
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| 262 | |
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| 263 | IMPLICIT NONE |
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| 264 | |
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| 265 | INTEGER(iwp) :: i !< |
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| 266 | INTEGER(iwp) :: j !< |
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| 267 | INTEGER(iwp) :: k !< |
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| 268 | REAL(wp) :: wall_s_flux(0:4) !< |
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| 269 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !< |
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| 270 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !< |
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| 271 | #if defined( __nopointer ) |
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| 272 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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| 273 | #else |
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| 274 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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| 275 | #endif |
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| 276 | |
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| 277 | !$acc kernels present( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, kh ) & |
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| 278 | !$acc present( nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, s ) & |
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| 279 | !$acc present( s_flux_b, s_flux_t, tend, wall_s_flux ) & |
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| 280 | !$acc present( wall_w_x, wall_w_y ) |
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| 281 | DO i = i_left, i_right |
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| 282 | DO j = j_south, j_north |
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| 283 | ! |
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| 284 | !-- Compute horizontal diffusion |
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| 285 | DO k = 1, nzt |
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| 286 | IF ( k > nzb_s_outer(j,i) ) THEN |
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| 287 | |
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| 288 | tend(k,j,i) = tend(k,j,i) & |
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| 289 | + 0.5_wp * ( & |
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| 290 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 291 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 292 | ) * ddx2 & |
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| 293 | + 0.5_wp * ( & |
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| 294 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 295 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 296 | ) * ddy2 |
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| 297 | ENDIF |
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| 298 | ENDDO |
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| 299 | |
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| 300 | ! |
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| 301 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 302 | DO k = 1, nzt |
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| 303 | IF ( k > nzb_s_inner(j,i) .AND. k <= nzb_s_outer(j,i) .AND. & |
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| 304 | ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) ) & |
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| 305 | THEN |
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| 306 | tend(k,j,i) = tend(k,j,i) & |
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| 307 | + ( fwxp(j,i) * 0.5_wp * & |
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| 308 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 309 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 310 | -fwxm(j,i) * 0.5_wp * & |
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| 311 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 312 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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| 313 | ) * ddx2 & |
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| 314 | + ( fwyp(j,i) * 0.5_wp * & |
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| 315 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 316 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 317 | -fwym(j,i) * 0.5_wp * & |
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| 318 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 319 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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| 320 | ) * ddy2 |
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| 321 | ENDIF |
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| 322 | ENDDO |
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| 323 | |
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| 324 | ! |
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| 325 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 326 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 327 | !-- nzb+2 or nzt-1, respectively. |
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| 328 | DO k = 1, nzt_diff |
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| 329 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
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| 330 | tend(k,j,i) = tend(k,j,i) & |
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| 331 | + 0.5_wp * ( & |
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| 332 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 333 | * rho_air_zw(k) & |
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| 334 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 335 | * rho_air_zw(k-1) & |
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| 336 | ) * ddzw(k) * drho_air(k) |
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| 337 | ENDIF |
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| 338 | ENDDO |
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| 339 | |
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| 340 | ! |
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| 341 | !-- Vertical diffusion at the first computational gridpoint along |
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| 342 | !-- z-direction |
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| 343 | DO k = 1, nzt |
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| 344 | IF ( use_surface_fluxes .AND. k == nzb_s_inner(j,i)+1 ) THEN |
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| 345 | tend(k,j,i) = tend(k,j,i) & |
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| 346 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) )& |
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| 347 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 348 | * ddzu(k+1) & |
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| 349 | * rho_air_zw(k) & |
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| 350 | + s_flux_b(j,i) & |
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| 351 | ) * ddzw(k) * drho_air(k) |
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| 352 | ENDIF |
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| 353 | |
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| 354 | ! |
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| 355 | !-- Vertical diffusion at the last computational gridpoint along |
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| 356 | !-- z-direction |
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| 357 | IF ( use_top_fluxes .AND. k == nzt ) THEN |
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| 358 | tend(k,j,i) = tend(k,j,i) & |
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| 359 | + ( - s_flux_t(j,i) & |
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| 360 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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| 361 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 362 | * ddzu(k) & |
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| 363 | * rho_air_zw(k-1) & |
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| 364 | ) * ddzw(k) * drho_air(k) |
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| 365 | ENDIF |
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| 366 | ENDDO |
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| 367 | |
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| 368 | ENDDO |
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| 369 | ENDDO |
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| 370 | !$acc end kernels |
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| 371 | |
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| 372 | END SUBROUTINE diffusion_s_acc |
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| 373 | |
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| 374 | |
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| 375 | !------------------------------------------------------------------------------! |
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| 376 | ! Description: |
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| 377 | ! ------------ |
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| 378 | !> Call for grid point i,j |
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| 379 | !------------------------------------------------------------------------------! |
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| 380 | SUBROUTINE diffusion_s_ij( i, j, s, s_flux_b, s_flux_t, wall_s_flux ) |
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| 381 | |
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| 382 | USE arrays_3d, & |
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| 383 | ONLY: ddzu, ddzw, kh, tend, drho_air, rho_air_zw |
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| 384 | |
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| 385 | USE control_parameters, & |
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| 386 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 387 | |
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| 388 | USE grid_variables, & |
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| 389 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 390 | |
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| 391 | USE indices, & |
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| 392 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_diff_s_inner, nzb_s_inner, & |
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| 393 | nzb_s_outer, nzt, nzt_diff |
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| 394 | |
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| 395 | USE kinds |
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| 396 | |
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| 397 | IMPLICIT NONE |
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| 398 | |
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| 399 | INTEGER(iwp) :: i !< |
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| 400 | INTEGER(iwp) :: j !< |
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| 401 | INTEGER(iwp) :: k !< |
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| 402 | REAL(wp) :: wall_s_flux(0:4) !< |
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| 403 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !< |
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| 404 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !< |
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| 405 | #if defined( __nopointer ) |
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| 406 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !< |
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| 407 | #else |
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| 408 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !< |
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| 409 | #endif |
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| 410 | |
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| 411 | ! |
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| 412 | !-- Compute horizontal diffusion |
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| 413 | DO k = nzb_s_outer(j,i)+1, nzt |
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| 414 | |
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| 415 | tend(k,j,i) = tend(k,j,i) & |
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| 416 | + 0.5_wp * ( & |
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| 417 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 418 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 419 | ) * ddx2 & |
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| 420 | + 0.5_wp * ( & |
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| 421 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 422 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 423 | ) * ddy2 |
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| 424 | ENDDO |
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| 425 | |
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| 426 | ! |
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| 427 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 428 | IF ( ( wall_w_x(j,i) /= 0.0_wp ) .OR. ( wall_w_y(j,i) /= 0.0_wp ) ) & |
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| 429 | THEN |
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| 430 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 431 | |
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| 432 | tend(k,j,i) = tend(k,j,i) & |
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| 433 | + ( fwxp(j,i) * 0.5_wp * & |
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| 434 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 435 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 436 | -fwxm(j,i) * 0.5_wp * & |
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| 437 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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| 438 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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| 439 | ) * ddx2 & |
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| 440 | + ( fwyp(j,i) * 0.5_wp * & |
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| 441 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 442 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 443 | -fwym(j,i) * 0.5_wp * & |
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| 444 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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| 445 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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| 446 | ) * ddy2 |
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| 447 | ENDDO |
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| 448 | ENDIF |
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| 449 | |
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| 450 | ! |
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| 451 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 452 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 453 | !-- nzb+2 or nzt-1, respectively. |
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| 454 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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| 455 | |
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| 456 | tend(k,j,i) = tend(k,j,i) & |
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| 457 | + 0.5_wp * ( & |
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| 458 | ( kh(k,j,i) + kh(k+1,j,i) ) * ( s(k+1,j,i)-s(k,j,i) ) * ddzu(k+1) & |
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| 459 | * rho_air_zw(k) & |
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| 460 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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| 461 | * rho_air_zw(k-1) & |
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| 462 | ) * ddzw(k) * drho_air(k) |
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| 463 | ENDDO |
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| 464 | |
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| 465 | ! |
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| 466 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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| 467 | IF ( use_surface_fluxes ) THEN |
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| 468 | |
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| 469 | k = nzb_s_inner(j,i)+1 |
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| 470 | |
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| 471 | tend(k,j,i) = tend(k,j,i) + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 472 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 473 | * ddzu(k+1) & |
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| 474 | * rho_air_zw(k) & |
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| 475 | + s_flux_b(j,i) & |
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| 476 | ) * ddzw(k) * drho_air(k) |
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| 477 | |
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| 478 | ENDIF |
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| 479 | |
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| 480 | ! |
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| 481 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 482 | IF ( use_top_fluxes ) THEN |
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| 483 | |
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| 484 | k = nzt |
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| 485 | |
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| 486 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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| 487 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 488 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 489 | * ddzu(k) & |
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| 490 | * rho_air_zw(k-1) & |
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| 491 | ) * ddzw(k) * drho_air(k) |
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| 492 | |
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| 493 | ENDIF |
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| 494 | |
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| 495 | END SUBROUTINE diffusion_s_ij |
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| 496 | |
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| 497 | END MODULE diffusion_s_mod |
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