[1873] | 1 | !> @file production_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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[1343] | 22 | ! |
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[2127] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_e.f90 2127 2017-01-20 16:06:40Z kanani $ |
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| 27 | ! |
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[2127] | 28 | ! 2126 2017-01-20 15:54:21Z raasch |
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| 29 | ! density in ocean case replaced by potential density |
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| 30 | ! |
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[2119] | 31 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 32 | ! OpenACC version of subroutine removed |
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| 33 | ! |
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[2032] | 34 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 35 | ! renamed variable rho to rho_ocean |
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| 36 | ! |
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[2001] | 37 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 38 | ! Forced header and separation lines into 80 columns |
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| 39 | ! |
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[1874] | 40 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 41 | ! Module renamed (removed _mod) |
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| 42 | ! |
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| 43 | ! |
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[1851] | 44 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 45 | ! Module renamed |
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| 46 | ! |
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| 47 | ! |
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[1692] | 48 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 49 | ! Renamed prandtl_layer to constant_flux_layer. |
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| 50 | ! |
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[1683] | 51 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 52 | ! Code annotations made doxygen readable |
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| 53 | ! |
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[1375] | 54 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 55 | ! nzb_s_outer removed from acc-present-list |
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| 56 | ! |
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[1354] | 57 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 58 | ! REAL constants provided with KIND-attribute |
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| 59 | ! |
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[1343] | 60 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 61 | ! REAL constants defined as wp-kind |
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| 62 | ! |
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[1321] | 63 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 64 | ! ONLY-attribute added to USE-statements, |
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| 65 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 66 | ! kinds are defined in new module kinds, |
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| 67 | ! old module precision_kind is removed, |
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| 68 | ! revision history before 2012 removed, |
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| 69 | ! comment fields (!:) to be used for variable explanations added to |
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| 70 | ! all variable declaration statements |
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[110] | 71 | ! |
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[1258] | 72 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 73 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 74 | ! the FORTRAN declaration statement |
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| 75 | ! |
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[1182] | 76 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 77 | ! use_reference renamed use_single_reference_value |
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| 78 | ! |
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[1132] | 79 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 80 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 81 | ! j_north |
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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 | ! |
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[1008] | 89 | ! 1007 2012-09-19 14:30:36Z franke |
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| 90 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 91 | ! mixing ratio in case of cloud droplets |
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| 92 | ! |
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[941] | 93 | ! 940 2012-07-09 14:31:00Z raasch |
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| 94 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 95 | ! neutral stratification |
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| 96 | ! |
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[1] | 97 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 98 | ! Initial revision |
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| 99 | ! |
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| 100 | ! |
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| 101 | ! Description: |
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| 102 | ! ------------ |
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[1682] | 103 | !> Production terms (shear + buoyancy) of the TKE. |
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[1691] | 104 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
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[1682] | 105 | !> not considered well! |
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[1] | 106 | !------------------------------------------------------------------------------! |
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[1682] | 107 | MODULE production_e_mod |
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| 108 | |
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[1] | 109 | |
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[1320] | 110 | USE wall_fluxes_mod, & |
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[2118] | 111 | ONLY: wall_fluxes_e |
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[56] | 112 | |
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[1320] | 113 | USE kinds |
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| 114 | |
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[1] | 115 | PRIVATE |
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[2118] | 116 | PUBLIC production_e, production_e_init |
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[56] | 117 | |
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[1682] | 118 | LOGICAL, SAVE :: first_call = .TRUE. !< |
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[1] | 119 | |
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[1682] | 120 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0 !< |
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| 121 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: v_0 !< |
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[1] | 122 | |
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| 123 | INTERFACE production_e |
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| 124 | MODULE PROCEDURE production_e |
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| 125 | MODULE PROCEDURE production_e_ij |
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| 126 | END INTERFACE production_e |
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| 127 | |
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| 128 | INTERFACE production_e_init |
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| 129 | MODULE PROCEDURE production_e_init |
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| 130 | END INTERFACE production_e_init |
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| 131 | |
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| 132 | CONTAINS |
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| 133 | |
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| 134 | |
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| 135 | !------------------------------------------------------------------------------! |
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[1682] | 136 | ! Description: |
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| 137 | ! ------------ |
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| 138 | !> Call for all grid points |
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[1] | 139 | !------------------------------------------------------------------------------! |
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| 140 | SUBROUTINE production_e |
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| 141 | |
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[1320] | 142 | USE arrays_3d, & |
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[2126] | 143 | ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, qsws, qswst, shf, & |
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[1320] | 144 | tend, tswst, u, v, vpt, w |
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[1] | 145 | |
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[1320] | 146 | USE cloud_parameters, & |
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| 147 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
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| 148 | |
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| 149 | USE control_parameters, & |
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[1691] | 150 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
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| 151 | humidity, kappa, neutral, ocean, pt_reference, & |
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| 152 | rho_reference, use_single_reference_value, & |
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| 153 | use_surface_fluxes, use_top_fluxes |
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[1320] | 154 | |
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| 155 | USE grid_variables, & |
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| 156 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
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| 157 | |
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| 158 | USE indices, & |
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| 159 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
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| 160 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
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| 161 | |
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[1] | 162 | IMPLICIT NONE |
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| 163 | |
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[1682] | 164 | INTEGER(iwp) :: i !< |
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| 165 | INTEGER(iwp) :: j !< |
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| 166 | INTEGER(iwp) :: k !< |
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[1] | 167 | |
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[1682] | 168 | REAL(wp) :: def !< |
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| 169 | REAL(wp) :: dudx !< |
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| 170 | REAL(wp) :: dudy !< |
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| 171 | REAL(wp) :: dudz !< |
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| 172 | REAL(wp) :: dvdx !< |
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| 173 | REAL(wp) :: dvdy !< |
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| 174 | REAL(wp) :: dvdz !< |
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| 175 | REAL(wp) :: dwdx !< |
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| 176 | REAL(wp) :: dwdy !< |
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| 177 | REAL(wp) :: dwdz !< |
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| 178 | REAL(wp) :: k1 !< |
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| 179 | REAL(wp) :: k2 !< |
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| 180 | REAL(wp) :: km_neutral !< |
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| 181 | REAL(wp) :: theta !< |
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| 182 | REAL(wp) :: temp !< |
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[1] | 183 | |
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[1320] | 184 | ! REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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[1682] | 185 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
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| 186 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
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| 187 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
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| 188 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
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[1] | 189 | |
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[56] | 190 | ! |
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| 191 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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| 192 | !-- vertical walls, if neccessary |
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| 193 | !-- So far, results are slightly different from the ij-Version. |
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| 194 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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| 195 | ! IF ( topography /= 'flat' ) THEN |
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[1320] | 196 | ! CALL wall_fluxes_e( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
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| 197 | ! CALL wall_fluxes_e( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
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| 198 | ! CALL wall_fluxes_e( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
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| 199 | ! CALL wall_fluxes_e( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) |
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[56] | 200 | ! ENDIF |
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[53] | 201 | |
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[940] | 202 | |
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[1] | 203 | DO i = nxl, nxr |
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| 204 | |
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[940] | 205 | ! |
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| 206 | !-- Calculate TKE production by shear |
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[1] | 207 | DO j = nys, nyn |
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[19] | 208 | DO k = nzb_diff_s_outer(j,i), nzt |
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[1] | 209 | |
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[1342] | 210 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 211 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 212 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 213 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 214 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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[1] | 215 | |
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[1342] | 216 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 217 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 218 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 219 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 220 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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[1] | 221 | |
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[1342] | 222 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 223 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 224 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 225 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 226 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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[1] | 227 | |
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[1342] | 228 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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[1] | 229 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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[1342] | 230 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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[1] | 231 | |
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[1342] | 232 | IF ( def < 0.0_wp ) def = 0.0_wp |
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[1] | 233 | |
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| 234 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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[1007] | 235 | |
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[1] | 236 | ENDDO |
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| 237 | ENDDO |
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| 238 | |
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[1691] | 239 | IF ( constant_flux_layer ) THEN |
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[1] | 240 | |
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| 241 | ! |
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[55] | 242 | !-- Position beneath wall |
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| 243 | !-- (2) - Will allways be executed. |
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| 244 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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[1] | 245 | DO j = nys, nyn |
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| 246 | |
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[1342] | 247 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
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[1] | 248 | THEN |
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| 249 | |
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| 250 | k = nzb_diff_s_inner(j,i) - 1 |
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| 251 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[1342] | 252 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 253 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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[53] | 254 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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[1342] | 255 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 256 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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[53] | 257 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 258 | |
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[1342] | 259 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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[1007] | 260 | ! |
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[208] | 261 | !-- Inconsistency removed: as the thermal stratification is |
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| 262 | !-- not taken into account for the evaluation of the wall |
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| 263 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 264 | !-- be used for the evaluation of the velocity gradients dudy |
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| 265 | !-- and dwdy |
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| 266 | !-- Note: The validity of the new method has not yet been |
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| 267 | !-- shown, as so far no suitable data for a validation |
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| 268 | !-- has been available |
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[53] | 269 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 270 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
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[53] | 271 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 272 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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[1342] | 273 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
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| 274 | 0.5_wp * dy |
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| 275 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 276 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 277 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 278 | ELSE |
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[1342] | 279 | dudy = 0.0_wp |
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| 280 | dwdy = 0.0_wp |
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[364] | 281 | ENDIF |
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[1] | 282 | ELSE |
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[1342] | 283 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 284 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 285 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 286 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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[1] | 287 | ENDIF |
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| 288 | |
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[1342] | 289 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
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[1007] | 290 | ! |
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[208] | 291 | !-- Inconsistency removed: as the thermal stratification is |
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| 292 | !-- not taken into account for the evaluation of the wall |
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| 293 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 294 | !-- be used for the evaluation of the velocity gradients dvdx |
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| 295 | !-- and dwdx |
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| 296 | !-- Note: The validity of the new method has not yet been |
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| 297 | !-- shown, as so far no suitable data for a validation |
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| 298 | !-- has been available |
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[53] | 299 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 300 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
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[53] | 301 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 302 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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[1342] | 303 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
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| 304 | 0.5_wp * dx |
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| 305 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 306 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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| 307 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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| 308 | ELSE |
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[1342] | 309 | dvdx = 0.0_wp |
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| 310 | dwdx = 0.0_wp |
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[364] | 311 | ENDIF |
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[1] | 312 | ELSE |
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[1342] | 313 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 314 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 315 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 316 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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[1] | 317 | ENDIF |
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| 318 | |
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[1342] | 319 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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[1] | 320 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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[1342] | 321 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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[1] | 322 | |
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[1342] | 323 | IF ( def < 0.0_wp ) def = 0.0_wp |
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[1] | 324 | |
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| 325 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 326 | |
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| 327 | |
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| 328 | ! |
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[55] | 329 | !-- (3) - will be executed only, if there is at least one level |
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| 330 | !-- between (2) and (4), i.e. the topography must have a |
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| 331 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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| 332 | !-- already been calculated for (2). |
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| 333 | !-- 'wall only: use wall functions' |
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[1] | 334 | |
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| 335 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 336 | |
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| 337 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[1342] | 338 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 339 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 340 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 341 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 342 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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[53] | 343 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 344 | |
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[1342] | 345 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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[1007] | 346 | ! |
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[208] | 347 | !-- Inconsistency removed: as the thermal stratification |
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| 348 | !-- is not taken into account for the evaluation of the |
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| 349 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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| 350 | !-- must not be used for the evaluation of the velocity |
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| 351 | !-- gradients dudy and dwdy |
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| 352 | !-- Note: The validity of the new method has not yet |
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| 353 | !-- been shown, as so far no suitable data for a |
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| 354 | !-- validation has been available |
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| 355 | km_neutral = kappa * ( usvs(k)**2 + & |
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[1342] | 356 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
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| 357 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 358 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
| 359 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
| 360 | ELSE |
---|
[1342] | 361 | dudy = 0.0_wp |
---|
| 362 | dwdy = 0.0_wp |
---|
[364] | 363 | ENDIF |
---|
[1] | 364 | ELSE |
---|
[1342] | 365 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 366 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 367 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 368 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 369 | ENDIF |
---|
| 370 | |
---|
[1342] | 371 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 372 | ! |
---|
[208] | 373 | !-- Inconsistency removed: as the thermal stratification |
---|
| 374 | !-- is not taken into account for the evaluation of the |
---|
| 375 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 376 | !-- must not be used for the evaluation of the velocity |
---|
| 377 | !-- gradients dvdx and dwdx |
---|
| 378 | !-- Note: The validity of the new method has not yet |
---|
| 379 | !-- been shown, as so far no suitable data for a |
---|
| 380 | !-- validation has been available |
---|
| 381 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
[1342] | 382 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
| 383 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 384 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 385 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 386 | ELSE |
---|
[1342] | 387 | dvdx = 0.0_wp |
---|
| 388 | dwdx = 0.0_wp |
---|
[364] | 389 | ENDIF |
---|
[1] | 390 | ELSE |
---|
[1342] | 391 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 392 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 393 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 394 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 395 | ENDIF |
---|
| 396 | |
---|
[1342] | 397 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 398 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 399 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 400 | |
---|
[1342] | 401 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 402 | |
---|
| 403 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 404 | |
---|
| 405 | ENDDO |
---|
| 406 | |
---|
| 407 | ENDIF |
---|
| 408 | |
---|
| 409 | ENDDO |
---|
| 410 | |
---|
| 411 | ! |
---|
[55] | 412 | !-- (4) - will allways be executed. |
---|
| 413 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
[1] | 414 | DO j = nys, nyn |
---|
| 415 | |
---|
[1342] | 416 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
---|
[1] | 417 | THEN |
---|
| 418 | |
---|
| 419 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 420 | |
---|
[1342] | 421 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 422 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 423 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 424 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 425 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 426 | |
---|
[1342] | 427 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 428 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 429 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 430 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 431 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 432 | |
---|
[1342] | 433 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 434 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 435 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 436 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 437 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 438 | |
---|
[1342] | 439 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 440 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 441 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 442 | |
---|
[1342] | 443 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 444 | |
---|
| 445 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 446 | |
---|
| 447 | ENDIF |
---|
| 448 | |
---|
| 449 | ENDDO |
---|
| 450 | |
---|
| 451 | ! |
---|
[55] | 452 | !-- Position without adjacent wall |
---|
| 453 | !-- (1) - will allways be executed. |
---|
| 454 | !-- 'bottom only: use u_0,v_0' |
---|
[1] | 455 | DO j = nys, nyn |
---|
| 456 | |
---|
[1342] | 457 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
---|
[1] | 458 | THEN |
---|
| 459 | |
---|
| 460 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 461 | |
---|
[1342] | 462 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 463 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 464 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 465 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 466 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
[1] | 467 | |
---|
[1342] | 468 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 469 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 470 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 471 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 472 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[1] | 473 | |
---|
[1342] | 474 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 475 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 476 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 477 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 478 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 479 | |
---|
[1342] | 480 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 481 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 482 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 483 | |
---|
[1342] | 484 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 485 | |
---|
| 486 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
[1007] | 487 | |
---|
[1] | 488 | ENDIF |
---|
| 489 | |
---|
| 490 | ENDDO |
---|
| 491 | |
---|
[37] | 492 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 493 | |
---|
| 494 | DO j = nys, nyn |
---|
| 495 | |
---|
| 496 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 497 | |
---|
[1342] | 498 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 499 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 500 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 501 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 502 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[37] | 503 | |
---|
[1342] | 504 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 505 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 506 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 507 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 508 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[37] | 509 | |
---|
[1342] | 510 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 511 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 512 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 513 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 514 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[37] | 515 | |
---|
[1342] | 516 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[37] | 517 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 518 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[37] | 519 | |
---|
[1342] | 520 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[37] | 521 | |
---|
| 522 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 523 | |
---|
| 524 | ENDDO |
---|
| 525 | |
---|
[1] | 526 | ENDIF |
---|
| 527 | |
---|
| 528 | ! |
---|
[940] | 529 | !-- If required, calculate TKE production by buoyancy |
---|
| 530 | IF ( .NOT. neutral ) THEN |
---|
[1] | 531 | |
---|
[940] | 532 | IF ( .NOT. humidity ) THEN |
---|
[1] | 533 | |
---|
[1179] | 534 | IF ( use_single_reference_value ) THEN |
---|
[940] | 535 | |
---|
| 536 | IF ( ocean ) THEN |
---|
[97] | 537 | ! |
---|
[940] | 538 | !-- So far in the ocean no special treatment of density flux |
---|
| 539 | !-- in the bottom and top surface layer |
---|
| 540 | DO j = nys, nyn |
---|
| 541 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[2126] | 542 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 543 | kh(k,j,i) * g / rho_reference * & |
---|
| 544 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
[940] | 545 | dd2zu(k) |
---|
| 546 | ENDDO |
---|
[97] | 547 | ENDDO |
---|
| 548 | |
---|
[940] | 549 | ELSE |
---|
[97] | 550 | |
---|
[940] | 551 | DO j = nys, nyn |
---|
| 552 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 553 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 554 | kh(k,j,i) * g / pt_reference * & |
---|
| 555 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 556 | dd2zu(k) |
---|
| 557 | ENDDO |
---|
[97] | 558 | |
---|
[940] | 559 | IF ( use_surface_fluxes ) THEN |
---|
| 560 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 561 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 562 | shf(j,i) |
---|
| 563 | ENDIF |
---|
[97] | 564 | |
---|
[940] | 565 | IF ( use_top_fluxes ) THEN |
---|
| 566 | k = nzt |
---|
| 567 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 568 | tswst(j,i) |
---|
| 569 | ENDIF |
---|
| 570 | ENDDO |
---|
[57] | 571 | |
---|
[940] | 572 | ENDIF |
---|
[57] | 573 | |
---|
[940] | 574 | ELSE |
---|
[1] | 575 | |
---|
[940] | 576 | IF ( ocean ) THEN |
---|
[97] | 577 | ! |
---|
[940] | 578 | !-- So far in the ocean no special treatment of density flux |
---|
| 579 | !-- in the bottom and top surface layer |
---|
| 580 | DO j = nys, nyn |
---|
| 581 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[2126] | 582 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 583 | kh(k,j,i) * g / prho(k,j,i) * & |
---|
| 584 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
[940] | 585 | dd2zu(k) |
---|
| 586 | ENDDO |
---|
[97] | 587 | ENDDO |
---|
| 588 | |
---|
[940] | 589 | ELSE |
---|
[97] | 590 | |
---|
[940] | 591 | DO j = nys, nyn |
---|
| 592 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 593 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 594 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 595 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 596 | dd2zu(k) |
---|
| 597 | ENDDO |
---|
| 598 | |
---|
| 599 | IF ( use_surface_fluxes ) THEN |
---|
| 600 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 601 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
| 602 | shf(j,i) |
---|
| 603 | ENDIF |
---|
| 604 | |
---|
| 605 | IF ( use_top_fluxes ) THEN |
---|
| 606 | k = nzt |
---|
| 607 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
| 608 | tswst(j,i) |
---|
| 609 | ENDIF |
---|
[97] | 610 | ENDDO |
---|
| 611 | |
---|
[940] | 612 | ENDIF |
---|
[97] | 613 | |
---|
| 614 | ENDIF |
---|
[1] | 615 | |
---|
[940] | 616 | ELSE |
---|
[57] | 617 | |
---|
[940] | 618 | DO j = nys, nyn |
---|
[1] | 619 | |
---|
[940] | 620 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 621 | |
---|
[1007] | 622 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 623 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 624 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 625 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 626 | g / vpt(k,j,i) * & |
---|
| 627 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 628 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 629 | ) * dd2zu(k) |
---|
| 630 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 631 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 632 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 633 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 634 | ELSE |
---|
| 635 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 636 | temp = theta * t_d_pt(k) |
---|
[1342] | 637 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 638 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 639 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 640 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 641 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 642 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 643 | ENDIF |
---|
[1007] | 644 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 645 | g / vpt(k,j,i) * & |
---|
[940] | 646 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 647 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 648 | ) * dd2zu(k) |
---|
[1007] | 649 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 650 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 651 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 652 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 653 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 654 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
| 655 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 656 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 657 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
| 658 | ENDIF |
---|
| 659 | |
---|
[940] | 660 | ENDDO |
---|
| 661 | |
---|
[1] | 662 | ENDDO |
---|
| 663 | |
---|
[940] | 664 | IF ( use_surface_fluxes ) THEN |
---|
[1] | 665 | |
---|
[940] | 666 | DO j = nys, nyn |
---|
[1] | 667 | |
---|
[940] | 668 | k = nzb_diff_s_inner(j,i)-1 |
---|
[1] | 669 | |
---|
[1007] | 670 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 671 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 672 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 673 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 674 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 675 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 676 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 677 | ELSE |
---|
| 678 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 679 | temp = theta * t_d_pt(k) |
---|
[1342] | 680 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
[1353] | 681 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 682 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 683 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 684 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 685 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 686 | ENDIF |
---|
[1007] | 687 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 688 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 689 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1] | 690 | ENDIF |
---|
| 691 | |
---|
[940] | 692 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 693 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
| 694 | ENDDO |
---|
[1] | 695 | |
---|
[940] | 696 | ENDIF |
---|
[1] | 697 | |
---|
[940] | 698 | IF ( use_top_fluxes ) THEN |
---|
[19] | 699 | |
---|
[940] | 700 | DO j = nys, nyn |
---|
[19] | 701 | |
---|
[940] | 702 | k = nzt |
---|
[19] | 703 | |
---|
[1007] | 704 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 705 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 706 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 707 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 708 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 709 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 710 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 711 | ELSE |
---|
| 712 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 713 | temp = theta * t_d_pt(k) |
---|
[1353] | 714 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 715 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 716 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 717 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 718 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 719 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 720 | ENDIF |
---|
[1007] | 721 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 722 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 723 | k2 = 0.61_wp * pt(k,j,i) |
---|
[19] | 724 | ENDIF |
---|
| 725 | |
---|
[940] | 726 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 727 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
| 728 | ENDDO |
---|
[19] | 729 | |
---|
[940] | 730 | ENDIF |
---|
| 731 | |
---|
[19] | 732 | ENDIF |
---|
| 733 | |
---|
[1] | 734 | ENDIF |
---|
| 735 | |
---|
| 736 | ENDDO |
---|
| 737 | |
---|
| 738 | END SUBROUTINE production_e |
---|
| 739 | |
---|
| 740 | |
---|
| 741 | !------------------------------------------------------------------------------! |
---|
[1682] | 742 | ! Description: |
---|
| 743 | ! ------------ |
---|
| 744 | !> Call for grid point i,j |
---|
[1] | 745 | !------------------------------------------------------------------------------! |
---|
| 746 | SUBROUTINE production_e_ij( i, j ) |
---|
| 747 | |
---|
[1320] | 748 | USE arrays_3d, & |
---|
[2126] | 749 | ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, qsws, qswst, shf, & |
---|
[1320] | 750 | tend, tswst, u, v, vpt, w |
---|
[449] | 751 | |
---|
[1320] | 752 | USE cloud_parameters, & |
---|
| 753 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
| 754 | |
---|
| 755 | USE control_parameters, & |
---|
[1691] | 756 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
| 757 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
| 758 | rho_reference, use_single_reference_value, & |
---|
| 759 | use_surface_fluxes, use_top_fluxes |
---|
[1320] | 760 | |
---|
| 761 | USE grid_variables, & |
---|
| 762 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
---|
| 763 | |
---|
| 764 | USE indices, & |
---|
| 765 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
---|
| 766 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
---|
| 767 | |
---|
[1] | 768 | IMPLICIT NONE |
---|
| 769 | |
---|
[1682] | 770 | INTEGER(iwp) :: i !< |
---|
| 771 | INTEGER(iwp) :: j !< |
---|
| 772 | INTEGER(iwp) :: k !< |
---|
[1] | 773 | |
---|
[1682] | 774 | REAL(wp) :: def !< |
---|
| 775 | REAL(wp) :: dudx !< |
---|
| 776 | REAL(wp) :: dudy !< |
---|
| 777 | REAL(wp) :: dudz !< |
---|
| 778 | REAL(wp) :: dvdx !< |
---|
| 779 | REAL(wp) :: dvdy !< |
---|
| 780 | REAL(wp) :: dvdz !< |
---|
| 781 | REAL(wp) :: dwdx !< |
---|
| 782 | REAL(wp) :: dwdy !< |
---|
| 783 | REAL(wp) :: dwdz !< |
---|
| 784 | REAL(wp) :: k1 !< |
---|
| 785 | REAL(wp) :: k2 !< |
---|
| 786 | REAL(wp) :: km_neutral !< |
---|
| 787 | REAL(wp) :: theta !< |
---|
| 788 | REAL(wp) :: temp !< |
---|
[1] | 789 | |
---|
[1682] | 790 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
---|
| 791 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
---|
| 792 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
---|
| 793 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
---|
[53] | 794 | |
---|
[1] | 795 | ! |
---|
| 796 | !-- Calculate TKE production by shear |
---|
[19] | 797 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
[1] | 798 | |
---|
[1342] | 799 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 800 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 801 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 802 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 803 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 804 | |
---|
[1342] | 805 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 806 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 807 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 808 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 809 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 810 | |
---|
[1342] | 811 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 812 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 813 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 814 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 815 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 816 | |
---|
[1342] | 817 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
| 818 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
| 819 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 820 | |
---|
[1342] | 821 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 822 | |
---|
| 823 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
[1007] | 824 | |
---|
[1] | 825 | ENDDO |
---|
| 826 | |
---|
[1691] | 827 | IF ( constant_flux_layer ) THEN |
---|
[1] | 828 | |
---|
[1342] | 829 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) THEN |
---|
[55] | 830 | |
---|
[1] | 831 | ! |
---|
[55] | 832 | !-- Position beneath wall |
---|
| 833 | !-- (2) - Will allways be executed. |
---|
| 834 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
[1] | 835 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 836 | |
---|
| 837 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[1342] | 838 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 839 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
| 840 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 841 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 842 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[53] | 843 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 844 | |
---|
[1342] | 845 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 846 | ! |
---|
[208] | 847 | !-- Inconsistency removed: as the thermal stratification |
---|
| 848 | !-- is not taken into account for the evaluation of the |
---|
| 849 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 850 | !-- must not be used for the evaluation of the velocity |
---|
| 851 | !-- gradients dudy and dwdy |
---|
| 852 | !-- Note: The validity of the new method has not yet |
---|
| 853 | !-- been shown, as so far no suitable data for a |
---|
| 854 | !-- validation has been available |
---|
[53] | 855 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 856 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
---|
[53] | 857 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 858 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
---|
[1342] | 859 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
---|
| 860 | 0.5_wp * dy |
---|
| 861 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 862 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
| 863 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
| 864 | ELSE |
---|
[1342] | 865 | dudy = 0.0_wp |
---|
| 866 | dwdy = 0.0_wp |
---|
[364] | 867 | ENDIF |
---|
[1] | 868 | ELSE |
---|
[1342] | 869 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 870 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 871 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 872 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 873 | ENDIF |
---|
| 874 | |
---|
[1342] | 875 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 876 | ! |
---|
[208] | 877 | !-- Inconsistency removed: as the thermal stratification |
---|
| 878 | !-- is not taken into account for the evaluation of the |
---|
| 879 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 880 | !-- must not be used for the evaluation of the velocity |
---|
| 881 | !-- gradients dvdx and dwdx |
---|
| 882 | !-- Note: The validity of the new method has not yet |
---|
| 883 | !-- been shown, as so far no suitable data for a |
---|
| 884 | !-- validation has been available |
---|
[53] | 885 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 886 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
[53] | 887 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 888 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
---|
[1342] | 889 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
---|
| 890 | 0.5_wp * dx |
---|
| 891 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 892 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 893 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 894 | ELSE |
---|
[1342] | 895 | dvdx = 0.0_wp |
---|
| 896 | dwdx = 0.0_wp |
---|
[364] | 897 | ENDIF |
---|
[1] | 898 | ELSE |
---|
[1342] | 899 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 900 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 901 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 902 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 903 | ENDIF |
---|
| 904 | |
---|
[1342] | 905 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 906 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 907 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 908 | |
---|
[1342] | 909 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 910 | |
---|
| 911 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 912 | |
---|
| 913 | ! |
---|
[55] | 914 | !-- (3) - will be executed only, if there is at least one level |
---|
| 915 | !-- between (2) and (4), i.e. the topography must have a |
---|
| 916 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
| 917 | !-- already been calculated for (2). |
---|
| 918 | !-- 'wall only: use wall functions' |
---|
[1] | 919 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
| 920 | |
---|
| 921 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[1342] | 922 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 923 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 924 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 925 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 926 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[53] | 927 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 928 | |
---|
[1342] | 929 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 930 | ! |
---|
[208] | 931 | !-- Inconsistency removed: as the thermal stratification |
---|
| 932 | !-- is not taken into account for the evaluation of the |
---|
| 933 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 934 | !-- must not be used for the evaluation of the velocity |
---|
| 935 | !-- gradients dudy and dwdy |
---|
| 936 | !-- Note: The validity of the new method has not yet |
---|
| 937 | !-- been shown, as so far no suitable data for a |
---|
| 938 | !-- validation has been available |
---|
| 939 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
[1342] | 940 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
---|
| 941 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 942 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
| 943 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
| 944 | ELSE |
---|
[1342] | 945 | dudy = 0.0_wp |
---|
| 946 | dwdy = 0.0_wp |
---|
[364] | 947 | ENDIF |
---|
[1] | 948 | ELSE |
---|
[1342] | 949 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 950 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 951 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 952 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 953 | ENDIF |
---|
| 954 | |
---|
[1342] | 955 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 956 | ! |
---|
[208] | 957 | !-- Inconsistency removed: as the thermal stratification |
---|
| 958 | !-- is not taken into account for the evaluation of the |
---|
| 959 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 960 | !-- must not be used for the evaluation of the velocity |
---|
| 961 | !-- gradients dvdx and dwdx |
---|
| 962 | !-- Note: The validity of the new method has not yet |
---|
| 963 | !-- been shown, as so far no suitable data for a |
---|
| 964 | !-- validation has been available |
---|
| 965 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
[1342] | 966 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
| 967 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 968 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 969 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 970 | ELSE |
---|
[1342] | 971 | dvdx = 0.0_wp |
---|
| 972 | dwdx = 0.0_wp |
---|
[364] | 973 | ENDIF |
---|
[1] | 974 | ELSE |
---|
[1342] | 975 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 976 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 977 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 978 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 979 | ENDIF |
---|
| 980 | |
---|
[1342] | 981 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 982 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 983 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 984 | |
---|
[1342] | 985 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 986 | |
---|
| 987 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 988 | |
---|
| 989 | ENDDO |
---|
| 990 | |
---|
| 991 | ! |
---|
[55] | 992 | !-- (4) - will allways be executed. |
---|
| 993 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
[1] | 994 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 995 | |
---|
[1342] | 996 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 997 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 998 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 999 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1000 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 1001 | |
---|
[1342] | 1002 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1003 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1004 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1005 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1006 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 1007 | |
---|
[1342] | 1008 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1009 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1010 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1011 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1012 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 1013 | |
---|
[1353] | 1014 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 1015 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1353] | 1016 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 1017 | |
---|
[1342] | 1018 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1019 | |
---|
| 1020 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1021 | |
---|
| 1022 | ELSE |
---|
| 1023 | |
---|
| 1024 | ! |
---|
[55] | 1025 | !-- Position without adjacent wall |
---|
| 1026 | !-- (1) - will allways be executed. |
---|
| 1027 | !-- 'bottom only: use u_0,v_0' |
---|
[1] | 1028 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1029 | |
---|
[1342] | 1030 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 1031 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 1032 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 1033 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1034 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
[1] | 1035 | |
---|
[1342] | 1036 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1037 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1038 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1039 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1040 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[1] | 1041 | |
---|
[1342] | 1042 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1043 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1044 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1045 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1046 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 1047 | |
---|
[1342] | 1048 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
[1] | 1049 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
[1342] | 1050 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 1051 | |
---|
[1342] | 1052 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1053 | |
---|
| 1054 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1055 | |
---|
| 1056 | ENDIF |
---|
| 1057 | |
---|
[37] | 1058 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 1059 | |
---|
| 1060 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 1061 | |
---|
[1342] | 1062 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 1063 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 1064 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 1065 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1066 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[37] | 1067 | |
---|
[1342] | 1068 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1069 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1070 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1071 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1072 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[37] | 1073 | |
---|
[1342] | 1074 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1075 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1076 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1077 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1078 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[37] | 1079 | |
---|
[1342] | 1080 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[37] | 1081 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 1082 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[37] | 1083 | |
---|
[1342] | 1084 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[37] | 1085 | |
---|
| 1086 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1087 | |
---|
[1] | 1088 | ENDIF |
---|
| 1089 | |
---|
| 1090 | ! |
---|
[940] | 1091 | !-- If required, calculate TKE production by buoyancy |
---|
| 1092 | IF ( .NOT. neutral ) THEN |
---|
[1] | 1093 | |
---|
[940] | 1094 | IF ( .NOT. humidity ) THEN |
---|
[19] | 1095 | |
---|
[1179] | 1096 | IF ( use_single_reference_value ) THEN |
---|
[940] | 1097 | |
---|
| 1098 | IF ( ocean ) THEN |
---|
[97] | 1099 | ! |
---|
[940] | 1100 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1101 | !-- the bottom and top surface layer |
---|
| 1102 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 1103 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 1104 | kh(k,j,i) * g / rho_reference * & |
---|
[2126] | 1105 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * dd2zu(k) |
---|
[940] | 1106 | ENDDO |
---|
[97] | 1107 | |
---|
[940] | 1108 | ELSE |
---|
[97] | 1109 | |
---|
[940] | 1110 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 1111 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1112 | kh(k,j,i) * g / pt_reference * & |
---|
| 1113 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 1114 | ENDDO |
---|
[1] | 1115 | |
---|
[940] | 1116 | IF ( use_surface_fluxes ) THEN |
---|
| 1117 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1118 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
| 1119 | ENDIF |
---|
[19] | 1120 | |
---|
[940] | 1121 | IF ( use_top_fluxes ) THEN |
---|
| 1122 | k = nzt |
---|
| 1123 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
| 1124 | ENDIF |
---|
| 1125 | |
---|
[97] | 1126 | ENDIF |
---|
| 1127 | |
---|
[940] | 1128 | ELSE |
---|
[57] | 1129 | |
---|
[940] | 1130 | IF ( ocean ) THEN |
---|
[97] | 1131 | ! |
---|
[940] | 1132 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1133 | !-- the bottom and top surface layer |
---|
| 1134 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
[2126] | 1135 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 1136 | kh(k,j,i) * g / prho(k,j,i) * & |
---|
| 1137 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * dd2zu(k) |
---|
[940] | 1138 | ENDDO |
---|
[97] | 1139 | |
---|
[940] | 1140 | ELSE |
---|
[97] | 1141 | |
---|
[940] | 1142 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 1143 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1144 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 1145 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 1146 | ENDDO |
---|
[57] | 1147 | |
---|
[940] | 1148 | IF ( use_surface_fluxes ) THEN |
---|
| 1149 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1150 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
| 1151 | ENDIF |
---|
[57] | 1152 | |
---|
[940] | 1153 | IF ( use_top_fluxes ) THEN |
---|
| 1154 | k = nzt |
---|
| 1155 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
| 1156 | ENDIF |
---|
| 1157 | |
---|
[97] | 1158 | ENDIF |
---|
| 1159 | |
---|
[57] | 1160 | ENDIF |
---|
| 1161 | |
---|
[940] | 1162 | ELSE |
---|
[57] | 1163 | |
---|
[940] | 1164 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 1165 | |
---|
[1007] | 1166 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1167 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1168 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1169 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1170 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1171 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1172 | ) * dd2zu(k) |
---|
| 1173 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1174 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1175 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1176 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1177 | ELSE |
---|
| 1178 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1179 | temp = theta * t_d_pt(k) |
---|
[1342] | 1180 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1181 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1182 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1183 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1184 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1185 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1186 | ENDIF |
---|
[1007] | 1187 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
[940] | 1188 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1189 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1190 | ) * dd2zu(k) |
---|
[1007] | 1191 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1192 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1193 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1194 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1195 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1196 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 1197 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 1198 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
| 1199 | ENDIF |
---|
[940] | 1200 | ENDDO |
---|
[19] | 1201 | |
---|
[940] | 1202 | IF ( use_surface_fluxes ) THEN |
---|
| 1203 | k = nzb_diff_s_inner(j,i)-1 |
---|
[1] | 1204 | |
---|
[1007] | 1205 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1206 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1207 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1208 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1209 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1210 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1211 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1212 | ELSE |
---|
| 1213 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1214 | temp = theta * t_d_pt(k) |
---|
[1342] | 1215 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1216 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1217 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1218 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1219 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1220 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1221 | ENDIF |
---|
[1007] | 1222 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1223 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1224 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1] | 1225 | ENDIF |
---|
[940] | 1226 | |
---|
| 1227 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1228 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
[1] | 1229 | ENDIF |
---|
| 1230 | |
---|
[940] | 1231 | IF ( use_top_fluxes ) THEN |
---|
| 1232 | k = nzt |
---|
[1] | 1233 | |
---|
[1007] | 1234 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1235 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1236 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1237 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1238 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1239 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1240 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1241 | ELSE |
---|
| 1242 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1243 | temp = theta * t_d_pt(k) |
---|
[1342] | 1244 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1245 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1246 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1247 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1248 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1249 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1250 | ENDIF |
---|
[1007] | 1251 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1252 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1253 | k2 = 0.61_wp * pt(k,j,i) |
---|
[19] | 1254 | ENDIF |
---|
[940] | 1255 | |
---|
| 1256 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1257 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
[19] | 1258 | ENDIF |
---|
| 1259 | |
---|
| 1260 | ENDIF |
---|
| 1261 | |
---|
[1] | 1262 | ENDIF |
---|
| 1263 | |
---|
| 1264 | END SUBROUTINE production_e_ij |
---|
| 1265 | |
---|
| 1266 | |
---|
[1682] | 1267 | !------------------------------------------------------------------------------! |
---|
| 1268 | ! Description: |
---|
| 1269 | ! ------------ |
---|
| 1270 | !> @todo Missing subroutine description. |
---|
| 1271 | !------------------------------------------------------------------------------! |
---|
[1] | 1272 | SUBROUTINE production_e_init |
---|
| 1273 | |
---|
[1320] | 1274 | USE arrays_3d, & |
---|
| 1275 | ONLY: kh, km, u, us, usws, v, vsws, zu |
---|
[1] | 1276 | |
---|
[1320] | 1277 | USE control_parameters, & |
---|
[1691] | 1278 | ONLY: constant_flux_layer, kappa |
---|
[1320] | 1279 | |
---|
| 1280 | USE indices, & |
---|
| 1281 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
---|
| 1282 | nzb_v_inner |
---|
| 1283 | |
---|
[1] | 1284 | IMPLICIT NONE |
---|
| 1285 | |
---|
[1682] | 1286 | INTEGER(iwp) :: i !< |
---|
| 1287 | INTEGER(iwp) :: j !< |
---|
| 1288 | INTEGER(iwp) :: ku !< |
---|
| 1289 | INTEGER(iwp) :: kv !< |
---|
[1] | 1290 | |
---|
[1691] | 1291 | IF ( constant_flux_layer ) THEN |
---|
[1] | 1292 | |
---|
| 1293 | IF ( first_call ) THEN |
---|
[759] | 1294 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
[1342] | 1295 | u_0 = 0.0_wp ! just to avoid access of uninitialized memory |
---|
| 1296 | v_0 = 0.0_wp ! within exchange_horiz_2d |
---|
[1] | 1297 | first_call = .FALSE. |
---|
| 1298 | ENDIF |
---|
| 1299 | |
---|
| 1300 | ! |
---|
| 1301 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
| 1302 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
| 1303 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
| 1304 | !-- production term at k=1 (see production_e_ij). |
---|
| 1305 | !-- The velocity gradient has to be limited in case of too small km |
---|
| 1306 | !-- (otherwise the timestep may be significantly reduced by large |
---|
| 1307 | !-- surface winds). |
---|
[106] | 1308 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
| 1309 | !-- not available in case of non-cyclic boundary conditions. |
---|
[1] | 1310 | !-- WARNING: the exact analytical solution would require the determination |
---|
| 1311 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
| 1312 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
[106] | 1313 | DO i = nxl, nxr+1 |
---|
| 1314 | DO j = nys, nyn+1 |
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[1] | 1315 | |
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| 1316 | ku = nzb_u_inner(j,i)+1 |
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| 1317 | kv = nzb_v_inner(j,i)+1 |
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| 1318 | |
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| 1319 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
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[1342] | 1320 | ( 0.5_wp * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
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| 1321 | 1.0E-20_wp ) |
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[1] | 1322 | ! ( us(j,i) * kappa * zu(1) ) |
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| 1323 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
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[1342] | 1324 | ( 0.5_wp * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
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| 1325 | 1.0E-20_wp ) |
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[1] | 1326 | ! ( us(j,i) * kappa * zu(1) ) |
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| 1327 | |
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| 1328 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
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| 1329 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
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| 1330 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
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| 1331 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
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| 1332 | |
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| 1333 | ENDDO |
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| 1334 | ENDDO |
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| 1335 | |
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| 1336 | CALL exchange_horiz_2d( u_0 ) |
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| 1337 | CALL exchange_horiz_2d( v_0 ) |
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| 1338 | |
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| 1339 | ENDIF |
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| 1340 | |
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| 1341 | END SUBROUTINE production_e_init |
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| 1342 | |
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| 1343 | END MODULE production_e_mod |
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