| 1 | !> @file diffusivities.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 1997-2017 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: diffusivities.f90 2365 2017-08-21 14:59:59Z maronga $ |
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| 27 | ! Vertical grid nesting implemented (SadiqHuq) |
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| 28 | ! |
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| 29 | ! 2233 2017-05-30 18:08:54Z suehring |
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| 30 | ! |
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| 31 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 32 | ! Adjustments to new topography and surface concept |
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| 33 | ! |
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| 34 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 35 | ! OpenACC directives removed |
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| 36 | ! |
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| 37 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 38 | ! renamed variable rho to rho_ocean |
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| 39 | ! |
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| 40 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 41 | ! Forced header and separation lines into 80 columns |
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| 42 | ! |
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| 43 | ! 1711 2015-11-05 07:38:04Z raasch |
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| 44 | ! bugfix: loop moved into IF block to avoid usage of l without being defined |
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| 45 | ! |
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| 46 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 47 | ! Code annotations made doxygen readable |
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| 48 | ! |
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| 49 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 50 | ! rif removed from acc-present-list |
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| 51 | ! |
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| 52 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 53 | ! REAL constants provided with KIND-attribute |
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| 54 | ! |
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| 55 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 56 | ! REAL constants defined as wp-kind |
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| 57 | ! |
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| 58 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 59 | ! REAL constants defined as wp-kind |
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| 60 | ! |
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| 61 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 62 | ! ONLY-attribute added to USE-statements, |
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| 63 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 64 | ! kinds are defined in new module kinds, |
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| 65 | ! revision history before 2012 removed, |
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| 66 | ! comment fields (!:) to be used for variable explanations added to |
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| 67 | ! all variable declaration statements |
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| 68 | ! |
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| 69 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 70 | ! use_reference renamed use_single_reference_value |
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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 | ! OpenACC statements added + code changes required for GPU optimization, |
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| 77 | ! adjustment of mixing length to the Prandtl mixing length at first grid point |
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| 78 | ! above ground removed |
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| 79 | ! |
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| 80 | ! Revision 1.1 1997/09/19 07:41:10 raasch |
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| 81 | ! Initial revision |
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| 82 | ! |
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| 83 | ! |
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| 84 | ! Description: |
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| 85 | ! ------------ |
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| 86 | !> Computation of the turbulent diffusion coefficients for momentum and heat |
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| 87 | !> according to Prandtl-Kolmogorov |
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| 88 | !------------------------------------------------------------------------------! |
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| 89 | SUBROUTINE diffusivities( var, var_reference ) |
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| 90 | |
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| 91 | |
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| 92 | USE arrays_3d, & |
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| 93 | ONLY: dd2zu, e, kh, km, l_grid, l_wall |
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| 94 | |
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| 95 | USE control_parameters, & |
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| 96 | ONLY: atmos_ocean_sign, e_min, g, outflow_l, outflow_n, outflow_r, & |
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| 97 | outflow_s, use_single_reference_value, wall_adjustment, & |
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| 98 | wall_adjustment_factor |
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| 99 | |
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| 100 | USE indices, & |
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| 101 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzt, & |
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| 102 | wall_flags_0 |
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| 103 | USE kinds |
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| 104 | |
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| 105 | USE pegrid |
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| 106 | |
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| 107 | USE statistics, & |
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| 108 | ONLY : rmask, statistic_regions, sums_l_l |
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| 109 | |
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| 110 | USE surface_mod, & |
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| 111 | ONLY : bc_h |
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| 112 | |
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| 113 | USE vertical_nesting_mod, & |
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| 114 | ONLY: vnest_boundary_conds_khkm, vnest_init |
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| 115 | |
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| 116 | IMPLICIT NONE |
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| 117 | |
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| 118 | INTEGER(iwp) :: i !< |
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| 119 | INTEGER(iwp) :: j !< |
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| 120 | INTEGER(iwp) :: k !< |
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| 121 | INTEGER(iwp) :: m !< |
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| 122 | INTEGER(iwp) :: omp_get_thread_num !< |
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| 123 | INTEGER(iwp) :: sr !< |
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| 124 | INTEGER(iwp) :: tn !< |
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| 125 | |
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| 126 | REAL(wp) :: dvar_dz !< |
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| 127 | REAL(wp) :: flag !< |
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| 128 | REAL(wp) :: l !< |
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| 129 | REAL(wp) :: ll !< |
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| 130 | REAL(wp) :: l_stable !< |
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| 131 | REAL(wp) :: sqrt_e !< |
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| 132 | REAL(wp) :: var_reference !< |
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| 133 | |
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| 134 | REAL(wp) :: var(nzb:nzt+1,nysg:nyng,nxlg:nxrg) !< |
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| 135 | |
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| 136 | |
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| 137 | ! |
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| 138 | !-- Default thread number in case of one thread |
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| 139 | tn = 0 |
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| 140 | |
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| 141 | ! |
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| 142 | !-- Initialization for calculation of the mixing length profile |
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| 143 | sums_l_l = 0.0_wp |
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| 144 | |
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| 145 | ! |
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| 146 | !-- Compute the turbulent diffusion coefficient for momentum |
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| 147 | !$OMP PARALLEL PRIVATE (dvar_dz,i,j,k,l,ll,l_stable,sqrt_e,sr,tn,flag) |
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| 148 | !$ tn = omp_get_thread_num() |
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| 149 | |
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| 150 | ! |
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| 151 | !-- Introduce an optional minimum tke |
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| 152 | IF ( e_min > 0.0_wp ) THEN |
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| 153 | !$OMP DO |
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| 154 | DO i = nxlg, nxrg |
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| 155 | DO j = nysg, nyng |
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| 156 | DO k = nzb+1, nzt |
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| 157 | e(k,j,i) = MAX( e(k,j,i), e_min ) * & |
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| 158 | MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
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| 159 | ENDDO |
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| 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | ENDIF |
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| 163 | |
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| 164 | !$OMP DO |
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| 165 | DO i = nxlg, nxrg |
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| 166 | DO j = nysg, nyng |
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| 167 | DO k = nzb+1, nzt |
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| 168 | |
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| 169 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
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| 170 | |
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| 171 | sqrt_e = SQRT( e(k,j,i) ) |
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| 172 | ! |
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| 173 | !-- Determine the mixing length |
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| 174 | dvar_dz = atmos_ocean_sign * & ! inverse effect of pt/rho_ocean gradient |
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| 175 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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| 176 | IF ( dvar_dz > 0.0_wp ) THEN |
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| 177 | IF ( use_single_reference_value ) THEN |
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| 178 | l_stable = 0.76_wp * sqrt_e / & |
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| 179 | SQRT( g / var_reference * dvar_dz ) + 1E-5_wp |
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| 180 | ELSE |
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| 181 | l_stable = 0.76_wp * sqrt_e / & |
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| 182 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp |
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| 183 | ENDIF |
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| 184 | ELSE |
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| 185 | l_stable = l_grid(k) |
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| 186 | ENDIF |
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| 187 | ! |
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| 188 | !-- Adjustment of the mixing length |
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| 189 | IF ( wall_adjustment ) THEN |
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| 190 | l = MIN( wall_adjustment_factor * l_wall(k,j,i), l_grid(k), & |
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| 191 | l_stable ) |
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| 192 | ll = MIN( wall_adjustment_factor * l_wall(k,j,i), l_grid(k) ) |
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| 193 | ELSE |
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| 194 | l = MIN( l_grid(k), l_stable ) |
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| 195 | ll = l_grid(k) |
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| 196 | ENDIF |
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| 197 | ! |
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| 198 | !-- Compute diffusion coefficients for momentum and heat |
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| 199 | km(k,j,i) = 0.1_wp * l * sqrt_e * flag |
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| 200 | kh(k,j,i) = ( 1.0_wp + 2.0_wp * l / ll ) * km(k,j,i) * flag |
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| 201 | |
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| 202 | |
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| 203 | ! |
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| 204 | !-- Summation for averaged profile (cf. flow_statistics) |
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| 205 | DO sr = 0, statistic_regions |
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| 206 | sums_l_l(k,sr,tn) = sums_l_l(k,sr,tn) + l * rmask(j,i,sr) & |
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| 207 | * flag |
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| 208 | ENDDO |
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| 209 | |
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| 210 | ENDDO |
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| 211 | ENDDO |
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| 212 | ENDDO |
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| 213 | |
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| 214 | sums_l_l(nzt+1,:,tn) = sums_l_l(nzt,:,tn) ! quasi boundary-condition for |
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| 215 | ! data output |
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| 216 | !$OMP END PARALLEL |
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| 217 | |
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| 218 | ! |
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| 219 | !-- Set vertical boundary values (Neumann conditions both at upward- and |
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| 220 | !-- downward facing walls. To set wall-boundary values, the surface data type |
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| 221 | !-- is applied. |
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| 222 | !-- Horizontal boundary conditions at vertical walls are not set because |
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| 223 | !-- so far vertical surfaces require usage of a Prandtl-layer where the boundary |
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| 224 | !-- values of the diffusivities are not needed. |
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| 225 | !-- Upward-facing |
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| 226 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
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| 227 | DO m = 1, bc_h(0)%ns |
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| 228 | i = bc_h(0)%i(m) |
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| 229 | j = bc_h(0)%j(m) |
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| 230 | k = bc_h(0)%k(m) |
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| 231 | km(k-1,j,i) = km(k,j,i) |
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| 232 | kh(k-1,j,i) = kh(k,j,i) |
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| 233 | ENDDO |
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| 234 | ! |
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| 235 | !-- Downward facing surfaces |
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| 236 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
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| 237 | DO m = 1, bc_h(1)%ns |
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| 238 | i = bc_h(1)%i(m) |
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| 239 | j = bc_h(1)%j(m) |
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| 240 | k = bc_h(1)%k(m) |
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| 241 | km(k+1,j,i) = km(k,j,i) |
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| 242 | kh(k+1,j,i) = kh(k,j,i) |
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| 243 | ENDDO |
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| 244 | ! |
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| 245 | !-- Model top |
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| 246 | !$OMP PARALLEL DO |
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| 247 | DO i = nxlg, nxrg |
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| 248 | DO j = nysg, nyng |
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| 249 | km(nzt+1,j,i) = km(nzt,j,i) |
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| 250 | kh(nzt+1,j,i) = kh(nzt,j,i) |
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| 251 | ENDDO |
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| 252 | ENDDO |
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| 253 | |
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| 254 | |
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| 255 | ! |
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| 256 | !-- Set Neumann boundary conditions at the outflow boundaries in case of |
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| 257 | !-- non-cyclic lateral boundaries |
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| 258 | IF ( outflow_l ) THEN |
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| 259 | km(:,:,nxl-1) = km(:,:,nxl) |
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| 260 | kh(:,:,nxl-1) = kh(:,:,nxl) |
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| 261 | ENDIF |
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| 262 | IF ( outflow_r ) THEN |
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| 263 | km(:,:,nxr+1) = km(:,:,nxr) |
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| 264 | kh(:,:,nxr+1) = kh(:,:,nxr) |
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| 265 | ENDIF |
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| 266 | IF ( outflow_s ) THEN |
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| 267 | km(:,nys-1,:) = km(:,nys,:) |
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| 268 | kh(:,nys-1,:) = kh(:,nys,:) |
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| 269 | ENDIF |
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| 270 | IF ( outflow_n ) THEN |
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| 271 | km(:,nyn+1,:) = km(:,nyn,:) |
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| 272 | kh(:,nyn+1,:) = kh(:,nyn,:) |
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| 273 | ENDIF |
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| 274 | ! |
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| 275 | !-- Vertical nesting: set fine grid eddy viscosity top boundary condition |
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| 276 | IF ( vnest_init ) CALL vnest_boundary_conds_khkm |
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| 277 | |
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| 278 | END SUBROUTINE diffusivities |
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