[1873] | 1 | !> @file diffusion_e.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[1036] | 3 | ! This file is part of PALM. |
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| 4 | ! |
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[2000] | 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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[1036] | 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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[2101] | 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[484] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[1341] | 22 | ! |
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[2119] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: diffusion_e.f90 2119 2017-01-17 16:51:50Z hoffmann $ |
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| 27 | ! |
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[2119] | 28 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 29 | ! OpenACC version of subroutine removed |
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| 30 | ! |
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[2038] | 31 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 32 | ! Anelastic approximation implemented |
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| 33 | ! |
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[2001] | 34 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 35 | ! Forced header and separation lines into 80 columns |
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| 36 | ! |
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[1874] | 37 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 38 | ! Module renamed (removed _mod) |
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| 39 | ! |
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[1851] | 40 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 41 | ! Module renamed |
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| 42 | ! Adapted for modularization of microphysics |
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| 43 | ! |
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[1832] | 44 | ! 1831 2016-04-07 13:15:51Z hoffmann |
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| 45 | ! turbulence renamed collision_turbulence |
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| 46 | ! |
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[1683] | 47 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 48 | ! Code annotations made doxygen readable |
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| 49 | ! |
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[1375] | 50 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 51 | ! missing variables added to ONLY list |
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| 52 | ! rif removed from acc-present-list |
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| 53 | ! |
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[1341] | 54 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 55 | ! REAL constants defined as wp-kind |
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| 56 | ! |
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[1321] | 57 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 58 | ! ONLY-attribute added to USE-statements, |
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| 59 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 60 | ! kinds are defined in new module kinds, |
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| 61 | ! revision history before 2012 removed, |
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| 62 | ! comment fields (!:) to be used for variable explanations added to |
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| 63 | ! all variable declaration statements |
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[98] | 64 | ! |
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[1258] | 65 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 66 | ! openacc loop and loop vector clauses removed |
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| 67 | ! |
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[1182] | 68 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 69 | ! use_reference renamed use_single_reference_value |
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| 70 | ! |
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[1172] | 71 | ! 1171 2013-05-30 11:27:45Z raasch |
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| 72 | ! use_reference-case activated in accelerator version |
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| 73 | ! |
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[1132] | 74 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 75 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 76 | ! j_north |
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| 77 | ! |
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[1066] | 78 | ! 1065 2012-11-22 17:42:36Z hoffmann |
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| 79 | ! Enabled the claculation of diss in case of turbulence = .TRUE. (parameterized |
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| 80 | ! effects of turbulence on autoconversion and accretion in two-moments cloud |
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| 81 | ! physics scheme). |
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| 82 | ! |
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[1037] | 83 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 84 | ! code put under GPL (PALM 3.9) |
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| 85 | ! |
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[1017] | 86 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 87 | ! accelerator version (*_acc) added, |
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| 88 | ! adjustment of mixing length to the Prandtl mixing length at first grid point |
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| 89 | ! above ground removed |
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| 90 | ! |
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[1011] | 91 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 92 | ! cpp switch __nopointer added for pointer free version |
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| 93 | ! |
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[1002] | 94 | ! 1001 2012-09-13 14:08:46Z raasch |
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| 95 | ! most arrays comunicated by module instead of parameter list |
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| 96 | ! |
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[826] | 97 | ! 825 2012-02-19 03:03:44Z raasch |
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| 98 | ! wang_collision_kernel renamed wang_kernel |
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| 99 | ! |
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[1] | 100 | ! Revision 1.1 1997/09/19 07:40:24 raasch |
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| 101 | ! Initial revision |
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| 102 | ! |
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| 103 | ! |
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| 104 | ! Description: |
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| 105 | ! ------------ |
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[1682] | 106 | !> Diffusion- and dissipation terms for the TKE |
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[1] | 107 | !------------------------------------------------------------------------------! |
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[1682] | 108 | MODULE diffusion_e_mod |
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| 109 | |
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[1] | 110 | |
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| 111 | PRIVATE |
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[2118] | 112 | PUBLIC diffusion_e |
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[1] | 113 | |
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| 114 | |
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| 115 | INTERFACE diffusion_e |
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| 116 | MODULE PROCEDURE diffusion_e |
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| 117 | MODULE PROCEDURE diffusion_e_ij |
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| 118 | END INTERFACE diffusion_e |
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| 119 | |
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| 120 | CONTAINS |
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| 121 | |
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| 122 | |
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| 123 | !------------------------------------------------------------------------------! |
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[1682] | 124 | ! Description: |
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| 125 | ! ------------ |
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| 126 | !> Call for all grid points |
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[1] | 127 | !------------------------------------------------------------------------------! |
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[1001] | 128 | SUBROUTINE diffusion_e( var, var_reference ) |
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[1] | 129 | |
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[1320] | 130 | USE arrays_3d, & |
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[2037] | 131 | ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw, & |
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| 132 | drho_air, rho_air_zw |
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[1320] | 133 | |
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| 134 | USE control_parameters, & |
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[1831] | 135 | ONLY: atmos_ocean_sign, g, use_single_reference_value, & |
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[1320] | 136 | wall_adjustment, wall_adjustment_factor |
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[1831] | 137 | |
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[1320] | 138 | USE grid_variables, & |
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| 139 | ONLY: ddx2, ddy2 |
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| 140 | |
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| 141 | USE indices, & |
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[1374] | 142 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_s_inner,& |
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| 143 | nzt |
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[1320] | 144 | |
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| 145 | USE kinds |
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[1849] | 146 | |
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| 147 | USE microphysics_mod, & |
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| 148 | ONLY: collision_turbulence |
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| 149 | |
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[1320] | 150 | USE particle_attributes, & |
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| 151 | ONLY: use_sgs_for_particles, wang_kernel |
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[1] | 152 | |
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| 153 | IMPLICIT NONE |
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| 154 | |
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[1682] | 155 | INTEGER(iwp) :: i !< |
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| 156 | INTEGER(iwp) :: j !< |
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| 157 | INTEGER(iwp) :: k !< |
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| 158 | REAL(wp) :: dvar_dz !< |
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| 159 | REAL(wp) :: l_stable !< |
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| 160 | REAL(wp) :: var_reference !< |
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[1001] | 161 | |
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[1010] | 162 | #if defined( __nopointer ) |
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[1682] | 163 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< |
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[1010] | 164 | #else |
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[1682] | 165 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< |
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[1010] | 166 | #endif |
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[1682] | 167 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dissipation !< |
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| 168 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: l !< |
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| 169 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: ll !< |
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[1] | 170 | |
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| 171 | |
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| 172 | ! |
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[65] | 173 | !-- This if clause must be outside the k-loop because otherwise |
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| 174 | !-- runtime errors occur with -C hopt on NEC |
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[1179] | 175 | IF ( use_single_reference_value ) THEN |
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[65] | 176 | |
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| 177 | DO i = nxl, nxr |
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| 178 | DO j = nys, nyn |
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| 179 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 180 | ! |
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[65] | 181 | !-- Calculate the mixing length (for dissipation) |
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[97] | 182 | dvar_dz = atmos_ocean_sign * & |
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| 183 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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[1340] | 184 | IF ( dvar_dz > 0.0_wp ) THEN |
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| 185 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) / & |
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| 186 | SQRT( g / var_reference * dvar_dz ) + 1E-5_wp |
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[57] | 187 | ELSE |
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[65] | 188 | l_stable = l_grid(k) |
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[57] | 189 | ENDIF |
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[1] | 190 | ! |
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[65] | 191 | !-- Adjustment of the mixing length |
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| 192 | IF ( wall_adjustment ) THEN |
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[94] | 193 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 194 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 195 | l_grid(k), l_stable ) |
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| 196 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 197 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 198 | l_grid(k) ) |
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[65] | 199 | ELSE |
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| 200 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 201 | ll(k,j) = l_grid(k) |
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| 202 | ENDIF |
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[1] | 203 | |
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[65] | 204 | ENDDO |
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[1] | 205 | ENDDO |
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[65] | 206 | |
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[1] | 207 | ! |
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[65] | 208 | !-- Calculate the tendency terms |
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| 209 | DO j = nys, nyn |
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| 210 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 211 | |
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[1340] | 212 | dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * & |
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[65] | 213 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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[1] | 214 | |
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[65] | 215 | tend(k,j,i) = tend(k,j,i) & |
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[1] | 216 | + ( & |
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| 217 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 218 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 219 | ) * ddx2 & |
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| 220 | + ( & |
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| 221 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 222 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 223 | ) * ddy2 & |
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| 224 | + ( & |
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| 225 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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[2037] | 226 | * rho_air_zw(k) & |
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[1] | 227 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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[2037] | 228 | * rho_air_zw(k-1) & |
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| 229 | ) * ddzw(k) * drho_air(k) & |
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[1] | 230 | - dissipation(k,j) |
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| 231 | |
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[65] | 232 | ENDDO |
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[1] | 233 | ENDDO |
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[65] | 234 | |
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| 235 | ! |
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| 236 | !-- Store dissipation if needed for calculating the sgs particle |
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| 237 | !-- velocities |
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[1065] | 238 | IF ( use_sgs_for_particles .OR. wang_kernel .OR. & |
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[1831] | 239 | collision_turbulence ) THEN |
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[65] | 240 | DO j = nys, nyn |
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| 241 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 242 | diss(k,j,i) = dissipation(k,j) |
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| 243 | ENDDO |
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| 244 | ENDDO |
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| 245 | ENDIF |
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| 246 | |
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[1] | 247 | ENDDO |
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| 248 | |
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[65] | 249 | ELSE |
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| 250 | |
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| 251 | DO i = nxl, nxr |
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| 252 | DO j = nys, nyn |
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| 253 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 254 | ! |
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| 255 | !-- Calculate the mixing length (for dissipation) |
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[97] | 256 | dvar_dz = atmos_ocean_sign * & |
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| 257 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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[1340] | 258 | IF ( dvar_dz > 0.0_wp ) THEN |
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| 259 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) / & |
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| 260 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp |
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[65] | 261 | ELSE |
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| 262 | l_stable = l_grid(k) |
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| 263 | ENDIF |
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| 264 | ! |
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| 265 | !-- Adjustment of the mixing length |
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| 266 | IF ( wall_adjustment ) THEN |
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[94] | 267 | l(k,j) = MIN( wall_adjustment_factor * & |
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| 268 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 269 | l_grid(k), l_stable ) |
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| 270 | ll(k,j) = MIN( wall_adjustment_factor * & |
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| 271 | ( zu(k) - zw(nzb_s_inner(j,i)) ), & |
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| 272 | l_grid(k) ) |
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[65] | 273 | ELSE |
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| 274 | l(k,j) = MIN( l_grid(k), l_stable ) |
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| 275 | ll(k,j) = l_grid(k) |
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| 276 | ENDIF |
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| 277 | |
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| 278 | ENDDO |
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| 279 | ENDDO |
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| 280 | |
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| 281 | ! |
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| 282 | !-- Calculate the tendency terms |
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[1] | 283 | DO j = nys, nyn |
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[19] | 284 | DO k = nzb_s_inner(j,i)+1, nzt |
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[65] | 285 | |
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[1340] | 286 | dissipation(k,j) = ( 0.19_wp + 0.74_wp * l(k,j) / ll(k,j) ) * & |
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| 287 | e(k,j,i) * SQRT( e(k,j,i) ) / l(k,j) |
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[65] | 288 | |
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| 289 | tend(k,j,i) = tend(k,j,i) & |
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| 290 | + ( & |
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| 291 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 292 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 293 | ) * ddx2 & |
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| 294 | + ( & |
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| 295 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 296 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 297 | ) * ddy2 & |
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| 298 | + ( & |
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| 299 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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[2037] | 300 | * rho_air_zw(k) & |
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[65] | 301 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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[2037] | 302 | * rho_air_zw(k-1) & |
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| 303 | ) * ddzw(k) * drho_air(k) & |
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[65] | 304 | - dissipation(k,j) |
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| 305 | |
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[1] | 306 | ENDDO |
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| 307 | ENDDO |
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| 308 | |
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[65] | 309 | ! |
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| 310 | !-- Store dissipation if needed for calculating the sgs particle |
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| 311 | !-- velocities |
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[1065] | 312 | IF ( use_sgs_for_particles .OR. wang_kernel .OR. & |
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[1831] | 313 | collision_turbulence ) THEN |
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[65] | 314 | DO j = nys, nyn |
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| 315 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 316 | diss(k,j,i) = dissipation(k,j) |
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| 317 | ENDDO |
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| 318 | ENDDO |
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| 319 | ENDIF |
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[1] | 320 | |
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[65] | 321 | ENDDO |
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| 322 | |
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| 323 | ENDIF |
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| 324 | |
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[1] | 325 | ! |
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| 326 | !-- Boundary condition for dissipation |
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[1849] | 327 | IF ( use_sgs_for_particles .OR. wang_kernel .OR. & |
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[1831] | 328 | collision_turbulence ) THEN |
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[1] | 329 | DO i = nxl, nxr |
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| 330 | DO j = nys, nyn |
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| 331 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 332 | ENDDO |
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| 333 | ENDDO |
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| 334 | ENDIF |
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| 335 | |
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| 336 | END SUBROUTINE diffusion_e |
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| 337 | |
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| 338 | |
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| 339 | !------------------------------------------------------------------------------! |
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[1682] | 340 | ! Description: |
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| 341 | ! ------------ |
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| 342 | !> Call for grid point i,j |
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[1] | 343 | !------------------------------------------------------------------------------! |
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[1001] | 344 | SUBROUTINE diffusion_e_ij( i, j, var, var_reference ) |
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[1] | 345 | |
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[1320] | 346 | USE arrays_3d, & |
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[2037] | 347 | ONLY: dd2zu, ddzu, ddzw, diss, e, km, l_grid, tend, zu, zw, & |
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| 348 | drho_air, rho_air_zw |
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[1320] | 349 | |
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| 350 | USE control_parameters, & |
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[1831] | 351 | ONLY: atmos_ocean_sign, g, use_single_reference_value, & |
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[1320] | 352 | wall_adjustment, wall_adjustment_factor |
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[1831] | 353 | |
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[1320] | 354 | USE grid_variables, & |
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| 355 | ONLY: ddx2, ddy2 |
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| 356 | |
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| 357 | USE indices, & |
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[1374] | 358 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzb_s_inner, nzt |
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[1320] | 359 | |
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| 360 | USE kinds |
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[1849] | 361 | |
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| 362 | USE microphysics_mod, & |
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| 363 | ONLY: collision_turbulence |
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| 364 | |
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[1320] | 365 | USE particle_attributes, & |
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| 366 | ONLY: use_sgs_for_particles, wang_kernel |
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[1] | 367 | |
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| 368 | IMPLICIT NONE |
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| 369 | |
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[1682] | 370 | INTEGER(iwp) :: i !< |
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| 371 | INTEGER(iwp) :: j !< |
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| 372 | INTEGER(iwp) :: k !< |
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| 373 | REAL(wp) :: dvar_dz !< |
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| 374 | REAL(wp) :: l_stable !< |
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| 375 | REAL(wp) :: var_reference !< |
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[1] | 376 | |
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[1010] | 377 | #if defined( __nopointer ) |
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[1682] | 378 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: var !< |
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[1010] | 379 | #else |
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[1682] | 380 | REAL(wp), DIMENSION(:,:,:), POINTER :: var !< |
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[1010] | 381 | #endif |
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[1682] | 382 | REAL(wp), DIMENSION(nzb+1:nzt) :: dissipation !< |
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| 383 | REAL(wp), DIMENSION(nzb+1:nzt) :: l !< |
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| 384 | REAL(wp), DIMENSION(nzb+1:nzt) :: ll !< |
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[1] | 385 | |
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[1001] | 386 | |
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[1] | 387 | ! |
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| 388 | !-- Calculate the mixing length (for dissipation) |
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[19] | 389 | DO k = nzb_s_inner(j,i)+1, nzt |
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[97] | 390 | dvar_dz = atmos_ocean_sign * & |
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| 391 | ( var(k+1,j,i) - var(k-1,j,i) ) * dd2zu(k) |
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[1340] | 392 | IF ( dvar_dz > 0.0_wp ) THEN |
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[1179] | 393 | IF ( use_single_reference_value ) THEN |
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[1340] | 394 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) / & |
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| 395 | SQRT( g / var_reference * dvar_dz ) + 1E-5_wp |
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[57] | 396 | ELSE |
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[1340] | 397 | l_stable = 0.76_wp * SQRT( e(k,j,i) ) / & |
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| 398 | SQRT( g / var(k,j,i) * dvar_dz ) + 1E-5_wp |
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[57] | 399 | ENDIF |
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[1] | 400 | ELSE |
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| 401 | l_stable = l_grid(k) |
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| 402 | ENDIF |
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| 403 | ! |
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| 404 | !-- Adjustment of the mixing length |
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| 405 | IF ( wall_adjustment ) THEN |
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[94] | 406 | l(k) = MIN( wall_adjustment_factor * & |
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| 407 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k), & |
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| 408 | l_stable ) |
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| 409 | ll(k) = MIN( wall_adjustment_factor * & |
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| 410 | ( zu(k) - zw(nzb_s_inner(j,i)) ), l_grid(k) ) |
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[1] | 411 | ELSE |
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| 412 | l(k) = MIN( l_grid(k), l_stable ) |
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| 413 | ll(k) = l_grid(k) |
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| 414 | ENDIF |
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| 415 | ! |
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| 416 | !-- Calculate the tendency term |
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[1340] | 417 | dissipation(k) = ( 0.19_wp + 0.74_wp * l(k) / ll(k) ) * e(k,j,i) * & |
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| 418 | SQRT( e(k,j,i) ) / l(k) |
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[1] | 419 | |
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| 420 | tend(k,j,i) = tend(k,j,i) & |
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| 421 | + ( & |
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| 422 | ( km(k,j,i)+km(k,j,i+1) ) * ( e(k,j,i+1)-e(k,j,i) ) & |
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| 423 | - ( km(k,j,i)+km(k,j,i-1) ) * ( e(k,j,i)-e(k,j,i-1) ) & |
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| 424 | ) * ddx2 & |
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| 425 | + ( & |
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| 426 | ( km(k,j,i)+km(k,j+1,i) ) * ( e(k,j+1,i)-e(k,j,i) ) & |
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| 427 | - ( km(k,j,i)+km(k,j-1,i) ) * ( e(k,j,i)-e(k,j-1,i) ) & |
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| 428 | ) * ddy2 & |
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| 429 | + ( & |
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| 430 | ( km(k,j,i)+km(k+1,j,i) ) * ( e(k+1,j,i)-e(k,j,i) ) * ddzu(k+1) & |
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[2037] | 431 | * rho_air_zw(k) & |
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[1] | 432 | - ( km(k,j,i)+km(k-1,j,i) ) * ( e(k,j,i)-e(k-1,j,i) ) * ddzu(k) & |
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[2037] | 433 | * rho_air_zw(k-1) & |
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| 434 | ) * ddzw(k) * drho_air(k) & |
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[1] | 435 | - dissipation(k) |
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| 436 | |
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| 437 | ENDDO |
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| 438 | |
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| 439 | ! |
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| 440 | !-- Store dissipation if needed for calculating the sgs particle velocities |
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[1849] | 441 | IF ( use_sgs_for_particles .OR. wang_kernel .OR. & |
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| 442 | collision_turbulence ) THEN |
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[19] | 443 | DO k = nzb_s_inner(j,i)+1, nzt |
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[1] | 444 | diss(k,j,i) = dissipation(k) |
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| 445 | ENDDO |
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| 446 | ! |
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| 447 | !-- Boundary condition for dissipation |
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| 448 | diss(nzb_s_inner(j,i),j,i) = diss(nzb_s_inner(j,i)+1,j,i) |
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| 449 | ENDIF |
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| 450 | |
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| 451 | END SUBROUTINE diffusion_e_ij |
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| 452 | |
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| 453 | END MODULE diffusion_e_mod |
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