[1] | 1 | MODULE diffusion_s_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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[1001] | 21 | ! ------------------ |
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[1341] | 22 | ! |
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[1375] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_s.f90 1375 2014-04-25 13:07:08Z hoffmann $ |
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| 27 | ! |
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[1375] | 28 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 29 | ! missing variables added to ONLY list |
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| 30 | ! |
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[1341] | 31 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 32 | ! REAL constants defined as wp-kind |
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| 33 | ! |
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[1321] | 34 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 35 | ! ONLY-attribute added to USE-statements, |
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| 36 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 37 | ! kinds are defined in new module kinds, |
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| 38 | ! revision history before 2012 removed, |
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| 39 | ! comment fields (!:) to be used for variable explanations added to |
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| 40 | ! all variable declaration statements |
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[1321] | 41 | ! |
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[1258] | 42 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 43 | ! openacc loop and loop vector clauses removed |
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| 44 | ! |
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[1132] | 45 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 46 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 47 | ! j_north |
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| 48 | ! |
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[1093] | 49 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 50 | ! unused variables removed |
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| 51 | ! |
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[1037] | 52 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 53 | ! code put under GPL (PALM 3.9) |
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| 54 | ! |
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[1017] | 55 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 56 | ! accelerator version (*_acc) added |
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| 57 | ! |
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[1011] | 58 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 59 | ! cpp switch __nopointer added for pointer free version |
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| 60 | ! |
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[1002] | 61 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 62 | ! some arrays comunicated by module instead of parameter list |
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| 63 | ! |
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[1] | 64 | ! Revision 1.1 2000/04/13 14:54:02 schroeter |
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| 65 | ! Initial revision |
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| 66 | ! |
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| 67 | ! |
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| 68 | ! Description: |
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| 69 | ! ------------ |
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| 70 | ! Diffusion term of scalar quantities (temperature and water content) |
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| 71 | !------------------------------------------------------------------------------! |
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| 72 | |
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| 73 | PRIVATE |
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[1015] | 74 | PUBLIC diffusion_s, diffusion_s_acc |
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[1] | 75 | |
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| 76 | INTERFACE diffusion_s |
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| 77 | MODULE PROCEDURE diffusion_s |
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| 78 | MODULE PROCEDURE diffusion_s_ij |
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| 79 | END INTERFACE diffusion_s |
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| 80 | |
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[1015] | 81 | INTERFACE diffusion_s_acc |
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| 82 | MODULE PROCEDURE diffusion_s_acc |
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| 83 | END INTERFACE diffusion_s_acc |
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| 84 | |
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[1] | 85 | CONTAINS |
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| 86 | |
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| 87 | |
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| 88 | !------------------------------------------------------------------------------! |
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| 89 | ! Call for all grid points |
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| 90 | !------------------------------------------------------------------------------! |
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[1001] | 91 | SUBROUTINE diffusion_s( s, s_flux_b, s_flux_t, wall_s_flux ) |
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[1] | 92 | |
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[1320] | 93 | USE arrays_3d, & |
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| 94 | ONLY: ddzu, ddzw, kh, tend |
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| 95 | |
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| 96 | USE control_parameters, & |
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| 97 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 98 | |
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| 99 | USE grid_variables, & |
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| 100 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 101 | |
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| 102 | USE indices, & |
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[1374] | 103 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, & |
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[1320] | 104 | nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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| 105 | |
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| 106 | USE kinds |
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[1] | 107 | |
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| 108 | IMPLICIT NONE |
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| 109 | |
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[1320] | 110 | INTEGER(iwp) :: i !: |
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| 111 | INTEGER(iwp) :: j !: |
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| 112 | INTEGER(iwp) :: k !: |
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| 113 | REAL(wp) :: wall_s_flux(0:4) !: |
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| 114 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b, s_flux_t !: |
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[1010] | 115 | #if defined( __nopointer ) |
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[1320] | 116 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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[1010] | 117 | #else |
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[1320] | 118 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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[1010] | 119 | #endif |
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[1] | 120 | |
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| 121 | DO i = nxl, nxr |
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| 122 | DO j = nys,nyn |
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| 123 | ! |
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| 124 | !-- Compute horizontal diffusion |
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[19] | 125 | DO k = nzb_s_outer(j,i)+1, nzt |
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[1] | 126 | |
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[1320] | 127 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 128 | + 0.5_wp * ( & |
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[1320] | 129 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 130 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 131 | ) * ddx2 & |
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| 132 | + 0.5_wp * ( & |
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[1320] | 133 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 134 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 135 | ) * ddy2 |
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[1] | 136 | ENDDO |
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| 137 | |
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| 138 | ! |
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| 139 | !-- Apply prescribed horizontal wall heatflux where necessary |
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[1340] | 140 | IF ( ( wall_w_x(j,i) .NE. 0.0_wp ) .OR. ( wall_w_y(j,i) .NE. 0.0_wp ) ) & |
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[1] | 141 | THEN |
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| 142 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 143 | |
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[1320] | 144 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 145 | + ( fwxp(j,i) * 0.5_wp * & |
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[1320] | 146 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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[1340] | 147 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 148 | -fwxm(j,i) * 0.5_wp * & |
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[1320] | 149 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 150 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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[1320] | 151 | ) * ddx2 & |
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[1340] | 152 | + ( fwyp(j,i) * 0.5_wp * & |
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[1320] | 153 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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[1340] | 154 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 155 | -fwym(j,i) * 0.5_wp * & |
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[1320] | 156 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 157 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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[1] | 158 | ) * ddy2 |
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| 159 | ENDDO |
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| 160 | ENDIF |
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| 161 | |
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| 162 | ! |
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| 163 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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[19] | 164 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 165 | !-- nzb+2 or nzt-1, respectively. |
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| 166 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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[1] | 167 | |
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[1320] | 168 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 169 | + 0.5_wp * ( & |
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[1320] | 170 | ( 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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| 171 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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[1340] | 172 | ) * ddzw(k) |
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[1] | 173 | ENDDO |
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| 174 | |
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| 175 | ! |
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[19] | 176 | !-- Vertical diffusion at the first computational gridpoint along |
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[1] | 177 | !-- z-direction |
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| 178 | IF ( use_surface_fluxes ) THEN |
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| 179 | |
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| 180 | k = nzb_s_inner(j,i)+1 |
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| 181 | |
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[1320] | 182 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 183 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 184 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 185 | * ddzu(k+1) & |
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[1320] | 186 | + s_flux_b(j,i) & |
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[1] | 187 | ) * ddzw(k) |
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| 188 | |
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| 189 | ENDIF |
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| 190 | |
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[19] | 191 | ! |
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| 192 | !-- Vertical diffusion at the last computational gridpoint along |
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| 193 | !-- z-direction |
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| 194 | IF ( use_top_fluxes ) THEN |
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| 195 | |
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| 196 | k = nzt |
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| 197 | |
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[1320] | 198 | tend(k,j,i) = tend(k,j,i) & |
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| 199 | + ( - s_flux_t(j,i) & |
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[1340] | 200 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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| 201 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 202 | * ddzu(k) & |
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[19] | 203 | ) * ddzw(k) |
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| 204 | |
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| 205 | ENDIF |
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| 206 | |
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[1] | 207 | ENDDO |
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| 208 | ENDDO |
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| 209 | |
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| 210 | END SUBROUTINE diffusion_s |
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| 211 | |
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| 212 | |
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| 213 | !------------------------------------------------------------------------------! |
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[1015] | 214 | ! Call for all grid points - accelerator version |
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| 215 | !------------------------------------------------------------------------------! |
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| 216 | SUBROUTINE diffusion_s_acc( s, s_flux_b, s_flux_t, wall_s_flux ) |
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| 217 | |
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[1320] | 218 | USE arrays_3d, & |
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| 219 | ONLY: ddzu, ddzw, kh, tend |
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| 220 | |
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| 221 | USE control_parameters, & |
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| 222 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 223 | |
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| 224 | USE grid_variables, & |
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| 225 | ONLY: ddx2, ddy2, fwxm, fwxp, fwym, fwyp, wall_w_x, wall_w_y |
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| 226 | |
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| 227 | USE indices, & |
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| 228 | ONLY: i_left, i_right, j_north, j_south, nxlg, nxrg, nyng, nysg, & |
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[1374] | 229 | nzb, nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, nzt, nzt_diff |
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[1320] | 230 | |
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| 231 | USE kinds |
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[1015] | 232 | |
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| 233 | IMPLICIT NONE |
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| 234 | |
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[1320] | 235 | INTEGER(iwp) :: i !: |
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| 236 | INTEGER(iwp) :: j !: |
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| 237 | INTEGER(iwp) :: k !: |
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| 238 | REAL(wp) :: wall_s_flux(0:4) !: |
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| 239 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !: |
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| 240 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !: |
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[1015] | 241 | #if defined( __nopointer ) |
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[1320] | 242 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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[1015] | 243 | #else |
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[1320] | 244 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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[1015] | 245 | #endif |
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| 246 | |
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| 247 | !$acc kernels present( ddzu, ddzw, fwxm, fwxp, fwym, fwyp, kh ) & |
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| 248 | !$acc present( nzb_diff_s_inner, nzb_s_inner, nzb_s_outer, s ) & |
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| 249 | !$acc present( s_flux_b, s_flux_t, tend, wall_s_flux ) & |
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| 250 | !$acc present( wall_w_x, wall_w_y ) |
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[1128] | 251 | DO i = i_left, i_right |
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| 252 | DO j = j_south, j_north |
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[1015] | 253 | ! |
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| 254 | !-- Compute horizontal diffusion |
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| 255 | DO k = 1, nzt |
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| 256 | IF ( k > nzb_s_outer(j,i) ) THEN |
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| 257 | |
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[1320] | 258 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 259 | + 0.5_wp * ( & |
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[1320] | 260 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 261 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 262 | ) * ddx2 & |
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| 263 | + 0.5_wp * ( & |
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[1320] | 264 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 265 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 266 | ) * ddy2 |
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[1015] | 267 | ENDIF |
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| 268 | ENDDO |
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| 269 | |
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| 270 | ! |
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| 271 | !-- Apply prescribed horizontal wall heatflux where necessary |
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| 272 | DO k = 1, nzt |
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| 273 | IF ( k > nzb_s_inner(j,i) .AND. k <= nzb_s_outer(j,i) .AND. & |
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[1340] | 274 | ( wall_w_x(j,i) /= 0.0_wp .OR. wall_w_y(j,i) /= 0.0_wp ) ) & |
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[1015] | 275 | THEN |
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[1320] | 276 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 277 | + ( fwxp(j,i) * 0.5_wp * & |
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[1320] | 278 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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[1340] | 279 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 280 | -fwxm(j,i) * 0.5_wp * & |
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[1320] | 281 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 282 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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[1320] | 283 | ) * ddx2 & |
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[1340] | 284 | + ( fwyp(j,i) * 0.5_wp * & |
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[1320] | 285 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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[1340] | 286 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 287 | -fwym(j,i) * 0.5_wp * & |
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[1320] | 288 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 289 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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[1015] | 290 | ) * ddy2 |
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| 291 | ENDIF |
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| 292 | ENDDO |
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| 293 | |
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| 294 | ! |
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| 295 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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| 296 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 297 | !-- nzb+2 or nzt-1, respectively. |
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| 298 | DO k = 1, nzt_diff |
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| 299 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
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[1320] | 300 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 301 | + 0.5_wp * ( & |
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[1320] | 302 | ( 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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| 303 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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[1340] | 304 | ) * ddzw(k) |
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[1015] | 305 | ENDIF |
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| 306 | ENDDO |
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| 307 | |
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| 308 | ! |
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| 309 | !-- Vertical diffusion at the first computational gridpoint along |
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| 310 | !-- z-direction |
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| 311 | DO k = 1, nzt |
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| 312 | IF ( use_surface_fluxes .AND. k == nzb_s_inner(j,i)+1 ) THEN |
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[1320] | 313 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 314 | + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) )& |
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| 315 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 316 | * ddzu(k+1) & |
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[1320] | 317 | + s_flux_b(j,i) & |
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[1015] | 318 | ) * ddzw(k) |
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| 319 | ENDIF |
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| 320 | |
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| 321 | ! |
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| 322 | !-- Vertical diffusion at the last computational gridpoint along |
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| 323 | !-- z-direction |
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| 324 | IF ( use_top_fluxes .AND. k == nzt ) THEN |
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| 325 | tend(k,j,i) = tend(k,j,i) & |
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| 326 | + ( - s_flux_t(j,i) & |
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[1340] | 327 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) )& |
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| 328 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 329 | * ddzu(k) & |
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[1015] | 330 | ) * ddzw(k) |
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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_s_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_s_ij( i, j, s, s_flux_b, s_flux_t, wall_s_flux ) |
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[1] | 345 | |
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[1320] | 346 | USE arrays_3d, & |
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| 347 | ONLY: ddzu, ddzw, kh, tend |
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| 348 | |
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| 349 | USE control_parameters, & |
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| 350 | ONLY: use_surface_fluxes, use_top_fluxes |
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| 351 | |
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| 352 | USE grid_variables, & |
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| 353 | ONLY: ddx2, ddy2, 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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[1374] | 356 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_diff_s_inner, nzb_s_inner, & |
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[1320] | 357 | nzb_s_outer, nzt, nzt_diff |
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| 358 | |
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| 359 | USE kinds |
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[1] | 360 | |
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| 361 | IMPLICIT NONE |
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| 362 | |
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[1320] | 363 | INTEGER(iwp) :: i !: |
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| 364 | INTEGER(iwp) :: j !: |
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| 365 | INTEGER(iwp) :: k !: |
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| 366 | REAL(wp) :: wall_s_flux(0:4) !: |
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| 367 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_b !: |
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| 368 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: s_flux_t !: |
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[1010] | 369 | #if defined( __nopointer ) |
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[1320] | 370 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: s !: |
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[1010] | 371 | #else |
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[1320] | 372 | REAL(wp), DIMENSION(:,:,:), POINTER :: s !: |
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[1010] | 373 | #endif |
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[1] | 374 | |
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| 375 | ! |
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| 376 | !-- Compute horizontal diffusion |
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[19] | 377 | DO k = nzb_s_outer(j,i)+1, nzt |
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[1] | 378 | |
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[1320] | 379 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 380 | + 0.5_wp * ( & |
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[1320] | 381 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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| 382 | - ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 383 | ) * ddx2 & |
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| 384 | + 0.5_wp * ( & |
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[1320] | 385 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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| 386 | - ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 387 | ) * ddy2 |
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[1] | 388 | ENDDO |
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| 389 | |
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| 390 | ! |
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| 391 | !-- Apply prescribed horizontal wall heatflux where necessary |
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[1340] | 392 | IF ( ( wall_w_x(j,i) .NE. 0.0_wp ) .OR. ( wall_w_y(j,i) .NE. 0.0_wp ) ) & |
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[1] | 393 | THEN |
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| 394 | DO k = nzb_s_inner(j,i)+1, nzb_s_outer(j,i) |
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| 395 | |
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[1320] | 396 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 397 | + ( fwxp(j,i) * 0.5_wp * & |
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[1320] | 398 | ( kh(k,j,i) + kh(k,j,i+1) ) * ( s(k,j,i+1)-s(k,j,i) ) & |
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[1340] | 399 | + ( 1.0_wp - fwxp(j,i) ) * wall_s_flux(1) & |
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| 400 | -fwxm(j,i) * 0.5_wp * & |
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[1320] | 401 | ( kh(k,j,i) + kh(k,j,i-1) ) * ( s(k,j,i)-s(k,j,i-1) ) & |
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[1340] | 402 | + ( 1.0_wp - fwxm(j,i) ) * wall_s_flux(2) & |
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[1320] | 403 | ) * ddx2 & |
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[1340] | 404 | + ( fwyp(j,i) * 0.5_wp * & |
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[1320] | 405 | ( kh(k,j,i) + kh(k,j+1,i) ) * ( s(k,j+1,i)-s(k,j,i) ) & |
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[1340] | 406 | + ( 1.0_wp - fwyp(j,i) ) * wall_s_flux(3) & |
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| 407 | -fwym(j,i) * 0.5_wp * & |
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[1320] | 408 | ( kh(k,j,i) + kh(k,j-1,i) ) * ( s(k,j,i)-s(k,j-1,i) ) & |
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[1340] | 409 | + ( 1.0_wp - fwym(j,i) ) * wall_s_flux(4) & |
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[1] | 410 | ) * ddy2 |
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| 411 | ENDDO |
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| 412 | ENDIF |
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| 413 | |
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| 414 | ! |
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| 415 | !-- Compute vertical diffusion. In case that surface fluxes have been |
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[19] | 416 | !-- prescribed or computed at bottom and/or top, index k starts/ends at |
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| 417 | !-- nzb+2 or nzt-1, respectively. |
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| 418 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
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[1] | 419 | |
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[1320] | 420 | tend(k,j,i) = tend(k,j,i) & |
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[1340] | 421 | + 0.5_wp * ( & |
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[1320] | 422 | ( 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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| 423 | - ( kh(k,j,i) + kh(k-1,j,i) ) * ( s(k,j,i)-s(k-1,j,i) ) * ddzu(k) & |
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[1340] | 424 | ) * ddzw(k) |
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[1] | 425 | ENDDO |
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| 426 | |
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| 427 | ! |
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[19] | 428 | !-- Vertical diffusion at the first computational gridpoint along z-direction |
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[1] | 429 | IF ( use_surface_fluxes ) THEN |
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| 430 | |
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| 431 | k = nzb_s_inner(j,i)+1 |
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| 432 | |
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[1340] | 433 | tend(k,j,i) = tend(k,j,i) + ( 0.5_wp * ( kh(k,j,i)+kh(k+1,j,i) ) & |
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| 434 | * ( s(k+1,j,i)-s(k,j,i) ) & |
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| 435 | * ddzu(k+1) & |
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[1320] | 436 | + s_flux_b(j,i) & |
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[19] | 437 | ) * ddzw(k) |
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[1] | 438 | |
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| 439 | ENDIF |
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| 440 | |
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[19] | 441 | ! |
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| 442 | !-- Vertical diffusion at the last computational gridpoint along z-direction |
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| 443 | IF ( use_top_fluxes ) THEN |
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| 444 | |
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| 445 | k = nzt |
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| 446 | |
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[1320] | 447 | tend(k,j,i) = tend(k,j,i) + ( - s_flux_t(j,i) & |
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[1340] | 448 | - 0.5_wp * ( kh(k-1,j,i)+kh(k,j,i) ) & |
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| 449 | * ( s(k,j,i)-s(k-1,j,i) ) & |
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| 450 | * ddzu(k) & |
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[19] | 451 | ) * ddzw(k) |
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| 452 | |
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| 453 | ENDIF |
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| 454 | |
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[1] | 455 | END SUBROUTINE diffusion_s_ij |
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| 456 | |
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| 457 | END MODULE diffusion_s_mod |
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