[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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[2119] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_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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[2032] | 31 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 32 | ! renamed variable rho to rho_ocean |
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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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| 40 | ! |
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[1851] | 41 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 42 | ! Module renamed |
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| 43 | ! |
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| 44 | ! |
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[1692] | 45 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 46 | ! Renamed prandtl_layer to constant_flux_layer. |
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| 47 | ! |
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[1683] | 48 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 49 | ! Code annotations made doxygen readable |
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| 50 | ! |
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[1375] | 51 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 52 | ! nzb_s_outer removed from acc-present-list |
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| 53 | ! |
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[1354] | 54 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 55 | ! REAL constants provided with KIND-attribute |
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| 56 | ! |
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[1343] | 57 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 58 | ! REAL constants defined as wp-kind |
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| 59 | ! |
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[1321] | 60 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 61 | ! ONLY-attribute added to USE-statements, |
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| 62 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 63 | ! kinds are defined in new module kinds, |
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| 64 | ! old module precision_kind is removed, |
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| 65 | ! revision history before 2012 removed, |
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| 66 | ! comment fields (!:) to be used for variable explanations added to |
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| 67 | ! all variable declaration statements |
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[110] | 68 | ! |
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[1258] | 69 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 70 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 71 | ! the FORTRAN declaration statement |
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| 72 | ! |
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[1182] | 73 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 74 | ! use_reference renamed use_single_reference_value |
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| 75 | ! |
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[1132] | 76 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 77 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 78 | ! j_north |
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| 79 | ! |
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[1037] | 80 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 81 | ! code put under GPL (PALM 3.9) |
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| 82 | ! |
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[1017] | 83 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 84 | ! accelerator version (*_acc) added |
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| 85 | ! |
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[1008] | 86 | ! 1007 2012-09-19 14:30:36Z franke |
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| 87 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 88 | ! mixing ratio in case of cloud droplets |
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| 89 | ! |
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[941] | 90 | ! 940 2012-07-09 14:31:00Z raasch |
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| 91 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 92 | ! neutral stratification |
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| 93 | ! |
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[1] | 94 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 95 | ! Initial revision |
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| 96 | ! |
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| 97 | ! |
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| 98 | ! Description: |
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| 99 | ! ------------ |
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[1682] | 100 | !> Production terms (shear + buoyancy) of the TKE. |
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[1691] | 101 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
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[1682] | 102 | !> not considered well! |
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[1] | 103 | !------------------------------------------------------------------------------! |
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[1682] | 104 | MODULE production_e_mod |
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| 105 | |
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[1] | 106 | |
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[1320] | 107 | USE wall_fluxes_mod, & |
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[2118] | 108 | ONLY: wall_fluxes_e |
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[56] | 109 | |
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[1320] | 110 | USE kinds |
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| 111 | |
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[1] | 112 | PRIVATE |
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[2118] | 113 | PUBLIC production_e, production_e_init |
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[56] | 114 | |
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[1682] | 115 | LOGICAL, SAVE :: first_call = .TRUE. !< |
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[1] | 116 | |
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[1682] | 117 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0 !< |
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| 118 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: v_0 !< |
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[1] | 119 | |
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| 120 | INTERFACE production_e |
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| 121 | MODULE PROCEDURE production_e |
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| 122 | MODULE PROCEDURE production_e_ij |
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| 123 | END INTERFACE production_e |
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| 124 | |
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| 125 | INTERFACE production_e_init |
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| 126 | MODULE PROCEDURE production_e_init |
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| 127 | END INTERFACE production_e_init |
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| 128 | |
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| 129 | CONTAINS |
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| 130 | |
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| 131 | |
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| 132 | !------------------------------------------------------------------------------! |
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[1682] | 133 | ! Description: |
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| 134 | ! ------------ |
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| 135 | !> Call for all grid points |
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[1] | 136 | !------------------------------------------------------------------------------! |
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| 137 | SUBROUTINE production_e |
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| 138 | |
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[1320] | 139 | USE arrays_3d, & |
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[2031] | 140 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho_ocean, shf, & |
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[1320] | 141 | tend, tswst, u, v, vpt, w |
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[1] | 142 | |
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[1320] | 143 | USE cloud_parameters, & |
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| 144 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
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| 145 | |
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| 146 | USE control_parameters, & |
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[1691] | 147 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
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| 148 | humidity, kappa, neutral, ocean, pt_reference, & |
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| 149 | rho_reference, use_single_reference_value, & |
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| 150 | use_surface_fluxes, use_top_fluxes |
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[1320] | 151 | |
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| 152 | USE grid_variables, & |
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| 153 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
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| 154 | |
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| 155 | USE indices, & |
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| 156 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
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| 157 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
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| 158 | |
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[1] | 159 | IMPLICIT NONE |
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| 160 | |
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[1682] | 161 | INTEGER(iwp) :: i !< |
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| 162 | INTEGER(iwp) :: j !< |
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| 163 | INTEGER(iwp) :: k !< |
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[1] | 164 | |
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[1682] | 165 | REAL(wp) :: def !< |
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| 166 | REAL(wp) :: dudx !< |
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| 167 | REAL(wp) :: dudy !< |
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| 168 | REAL(wp) :: dudz !< |
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| 169 | REAL(wp) :: dvdx !< |
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| 170 | REAL(wp) :: dvdy !< |
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| 171 | REAL(wp) :: dvdz !< |
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| 172 | REAL(wp) :: dwdx !< |
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| 173 | REAL(wp) :: dwdy !< |
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| 174 | REAL(wp) :: dwdz !< |
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| 175 | REAL(wp) :: k1 !< |
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| 176 | REAL(wp) :: k2 !< |
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| 177 | REAL(wp) :: km_neutral !< |
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| 178 | REAL(wp) :: theta !< |
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| 179 | REAL(wp) :: temp !< |
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[1] | 180 | |
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[1320] | 181 | ! REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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[1682] | 182 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
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| 183 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
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| 184 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
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| 185 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
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[1] | 186 | |
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[56] | 187 | ! |
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| 188 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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| 189 | !-- vertical walls, if neccessary |
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| 190 | !-- So far, results are slightly different from the ij-Version. |
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| 191 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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| 192 | ! IF ( topography /= 'flat' ) THEN |
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[1320] | 193 | ! CALL wall_fluxes_e( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
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| 194 | ! CALL wall_fluxes_e( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
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| 195 | ! CALL wall_fluxes_e( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
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| 196 | ! 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] | 197 | ! ENDIF |
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[53] | 198 | |
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[940] | 199 | |
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[1] | 200 | DO i = nxl, nxr |
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| 201 | |
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[940] | 202 | ! |
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| 203 | !-- Calculate TKE production by shear |
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[1] | 204 | DO j = nys, nyn |
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[19] | 205 | DO k = nzb_diff_s_outer(j,i), nzt |
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[1] | 206 | |
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[1342] | 207 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 208 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 209 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 210 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 211 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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[1] | 212 | |
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[1342] | 213 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 214 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 215 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 216 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 217 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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[1] | 218 | |
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[1342] | 219 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 220 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 221 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 222 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 223 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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[1] | 224 | |
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[1342] | 225 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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[1] | 226 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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[1342] | 227 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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[1] | 228 | |
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[1342] | 229 | IF ( def < 0.0_wp ) def = 0.0_wp |
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[1] | 230 | |
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| 231 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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[1007] | 232 | |
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[1] | 233 | ENDDO |
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| 234 | ENDDO |
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| 235 | |
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[1691] | 236 | IF ( constant_flux_layer ) THEN |
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[1] | 237 | |
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| 238 | ! |
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[55] | 239 | !-- Position beneath wall |
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| 240 | !-- (2) - Will allways be executed. |
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| 241 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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[1] | 242 | DO j = nys, nyn |
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| 243 | |
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[1342] | 244 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
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[1] | 245 | THEN |
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| 246 | |
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| 247 | k = nzb_diff_s_inner(j,i) - 1 |
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| 248 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[1342] | 249 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 250 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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[53] | 251 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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[1342] | 252 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 253 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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[53] | 254 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 255 | |
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[1342] | 256 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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[1007] | 257 | ! |
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[208] | 258 | !-- Inconsistency removed: as the thermal stratification is |
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| 259 | !-- not taken into account for the evaluation of the wall |
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| 260 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 261 | !-- be used for the evaluation of the velocity gradients dudy |
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| 262 | !-- and dwdy |
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| 263 | !-- Note: The validity of the new method has not yet been |
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| 264 | !-- shown, as so far no suitable data for a validation |
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| 265 | !-- has been available |
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[53] | 266 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 267 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
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[53] | 268 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 269 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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[1342] | 270 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
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| 271 | 0.5_wp * dy |
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| 272 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 273 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 274 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 275 | ELSE |
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[1342] | 276 | dudy = 0.0_wp |
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| 277 | dwdy = 0.0_wp |
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[364] | 278 | ENDIF |
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[1] | 279 | ELSE |
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[1342] | 280 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 281 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 282 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 283 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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[1] | 284 | ENDIF |
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| 285 | |
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[1342] | 286 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
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[1007] | 287 | ! |
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[208] | 288 | !-- Inconsistency removed: as the thermal stratification is |
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| 289 | !-- not taken into account for the evaluation of the wall |
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| 290 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 291 | !-- be used for the evaluation of the velocity gradients dvdx |
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| 292 | !-- and dwdx |
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| 293 | !-- Note: The validity of the new method has not yet been |
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| 294 | !-- shown, as so far no suitable data for a validation |
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| 295 | !-- has been available |
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[53] | 296 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 297 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
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[53] | 298 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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[1320] | 299 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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[1342] | 300 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
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| 301 | 0.5_wp * dx |
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| 302 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 303 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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| 304 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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| 305 | ELSE |
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[1342] | 306 | dvdx = 0.0_wp |
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| 307 | dwdx = 0.0_wp |
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[364] | 308 | ENDIF |
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[1] | 309 | ELSE |
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[1342] | 310 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 311 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 312 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 313 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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[1] | 314 | ENDIF |
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| 315 | |
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[1342] | 316 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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[1] | 317 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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[1342] | 318 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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[1] | 319 | |
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[1342] | 320 | IF ( def < 0.0_wp ) def = 0.0_wp |
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[1] | 321 | |
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| 322 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 323 | |
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| 324 | |
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| 325 | ! |
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[55] | 326 | !-- (3) - will be executed only, if there is at least one level |
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| 327 | !-- between (2) and (4), i.e. the topography must have a |
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| 328 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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| 329 | !-- already been calculated for (2). |
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| 330 | !-- 'wall only: use wall functions' |
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[1] | 331 | |
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| 332 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 333 | |
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| 334 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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[1342] | 335 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 336 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 337 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 338 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 339 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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[53] | 340 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 341 | |
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[1342] | 342 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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[1007] | 343 | ! |
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[208] | 344 | !-- Inconsistency removed: as the thermal stratification |
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| 345 | !-- is not taken into account for the evaluation of the |
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| 346 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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| 347 | !-- must not be used for the evaluation of the velocity |
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| 348 | !-- gradients dudy and dwdy |
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| 349 | !-- Note: The validity of the new method has not yet |
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| 350 | !-- been shown, as so far no suitable data for a |
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| 351 | !-- validation has been available |
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| 352 | km_neutral = kappa * ( usvs(k)**2 + & |
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[1342] | 353 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
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| 354 | IF ( km_neutral > 0.0_wp ) THEN |
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[364] | 355 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 356 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 357 | ELSE |
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[1342] | 358 | dudy = 0.0_wp |
---|
| 359 | dwdy = 0.0_wp |
---|
[364] | 360 | ENDIF |
---|
[1] | 361 | ELSE |
---|
[1342] | 362 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 363 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 364 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 365 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 366 | ENDIF |
---|
| 367 | |
---|
[1342] | 368 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 369 | ! |
---|
[208] | 370 | !-- Inconsistency removed: as the thermal stratification |
---|
| 371 | !-- is not taken into account for the evaluation of the |
---|
| 372 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 373 | !-- must not be used for the evaluation of the velocity |
---|
| 374 | !-- gradients dvdx and dwdx |
---|
| 375 | !-- Note: The validity of the new method has not yet |
---|
| 376 | !-- been shown, as so far no suitable data for a |
---|
| 377 | !-- validation has been available |
---|
| 378 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
[1342] | 379 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
| 380 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 381 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 382 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 383 | ELSE |
---|
[1342] | 384 | dvdx = 0.0_wp |
---|
| 385 | dwdx = 0.0_wp |
---|
[364] | 386 | ENDIF |
---|
[1] | 387 | ELSE |
---|
[1342] | 388 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 389 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 390 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 391 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 392 | ENDIF |
---|
| 393 | |
---|
[1342] | 394 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 395 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 396 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 397 | |
---|
[1342] | 398 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 399 | |
---|
| 400 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 401 | |
---|
| 402 | ENDDO |
---|
| 403 | |
---|
| 404 | ENDIF |
---|
| 405 | |
---|
| 406 | ENDDO |
---|
| 407 | |
---|
| 408 | ! |
---|
[55] | 409 | !-- (4) - will allways be executed. |
---|
| 410 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
[1] | 411 | DO j = nys, nyn |
---|
| 412 | |
---|
[1342] | 413 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
---|
[1] | 414 | THEN |
---|
| 415 | |
---|
| 416 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 417 | |
---|
[1342] | 418 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 419 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 420 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 421 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 422 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 423 | |
---|
[1342] | 424 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 425 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 426 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 427 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 428 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 429 | |
---|
[1342] | 430 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 431 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 432 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 433 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 434 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 435 | |
---|
[1342] | 436 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 437 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 438 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 439 | |
---|
[1342] | 440 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 441 | |
---|
| 442 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 443 | |
---|
| 444 | ENDIF |
---|
| 445 | |
---|
| 446 | ENDDO |
---|
| 447 | |
---|
| 448 | ! |
---|
[55] | 449 | !-- Position without adjacent wall |
---|
| 450 | !-- (1) - will allways be executed. |
---|
| 451 | !-- 'bottom only: use u_0,v_0' |
---|
[1] | 452 | DO j = nys, nyn |
---|
| 453 | |
---|
[1342] | 454 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
---|
[1] | 455 | THEN |
---|
| 456 | |
---|
| 457 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 458 | |
---|
[1342] | 459 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 460 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 461 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 462 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 463 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
[1] | 464 | |
---|
[1342] | 465 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 466 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 467 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 468 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 469 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[1] | 470 | |
---|
[1342] | 471 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 472 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 473 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 474 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 475 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 476 | |
---|
[1342] | 477 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 478 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 479 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 480 | |
---|
[1342] | 481 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 482 | |
---|
| 483 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
[1007] | 484 | |
---|
[1] | 485 | ENDIF |
---|
| 486 | |
---|
| 487 | ENDDO |
---|
| 488 | |
---|
[37] | 489 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 490 | |
---|
| 491 | DO j = nys, nyn |
---|
| 492 | |
---|
| 493 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 494 | |
---|
[1342] | 495 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 496 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 497 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 498 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 499 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[37] | 500 | |
---|
[1342] | 501 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 502 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 503 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 504 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 505 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[37] | 506 | |
---|
[1342] | 507 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 508 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 509 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 510 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 511 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[37] | 512 | |
---|
[1342] | 513 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[37] | 514 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 515 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[37] | 516 | |
---|
[1342] | 517 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[37] | 518 | |
---|
| 519 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 520 | |
---|
| 521 | ENDDO |
---|
| 522 | |
---|
[1] | 523 | ENDIF |
---|
| 524 | |
---|
| 525 | ! |
---|
[940] | 526 | !-- If required, calculate TKE production by buoyancy |
---|
| 527 | IF ( .NOT. neutral ) THEN |
---|
[1] | 528 | |
---|
[940] | 529 | IF ( .NOT. humidity ) THEN |
---|
[1] | 530 | |
---|
[1179] | 531 | IF ( use_single_reference_value ) THEN |
---|
[940] | 532 | |
---|
| 533 | IF ( ocean ) THEN |
---|
[97] | 534 | ! |
---|
[940] | 535 | !-- So far in the ocean no special treatment of density flux |
---|
| 536 | !-- in the bottom and top surface layer |
---|
| 537 | DO j = nys, nyn |
---|
| 538 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 539 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 540 | kh(k,j,i) * g / rho_reference * & |
---|
[2031] | 541 | ( rho_ocean(k+1,j,i) - rho_ocean(k-1,j,i) ) * & |
---|
[940] | 542 | dd2zu(k) |
---|
| 543 | ENDDO |
---|
[97] | 544 | ENDDO |
---|
| 545 | |
---|
[940] | 546 | ELSE |
---|
[97] | 547 | |
---|
[940] | 548 | DO j = nys, nyn |
---|
| 549 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 550 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 551 | kh(k,j,i) * g / pt_reference * & |
---|
| 552 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 553 | dd2zu(k) |
---|
| 554 | ENDDO |
---|
[97] | 555 | |
---|
[940] | 556 | IF ( use_surface_fluxes ) THEN |
---|
| 557 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 558 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 559 | shf(j,i) |
---|
| 560 | ENDIF |
---|
[97] | 561 | |
---|
[940] | 562 | IF ( use_top_fluxes ) THEN |
---|
| 563 | k = nzt |
---|
| 564 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 565 | tswst(j,i) |
---|
| 566 | ENDIF |
---|
| 567 | ENDDO |
---|
[57] | 568 | |
---|
[940] | 569 | ENDIF |
---|
[57] | 570 | |
---|
[940] | 571 | ELSE |
---|
[1] | 572 | |
---|
[940] | 573 | IF ( ocean ) THEN |
---|
[97] | 574 | ! |
---|
[940] | 575 | !-- So far in the ocean no special treatment of density flux |
---|
| 576 | !-- in the bottom and top surface layer |
---|
| 577 | DO j = nys, nyn |
---|
| 578 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 579 | tend(k,j,i) = tend(k,j,i) + & |
---|
[2031] | 580 | kh(k,j,i) * g / rho_ocean(k,j,i) * & |
---|
| 581 | ( rho_ocean(k+1,j,i) - rho_ocean(k-1,j,i) ) * & |
---|
[940] | 582 | dd2zu(k) |
---|
| 583 | ENDDO |
---|
[97] | 584 | ENDDO |
---|
| 585 | |
---|
[940] | 586 | ELSE |
---|
[97] | 587 | |
---|
[940] | 588 | DO j = nys, nyn |
---|
| 589 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 590 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 591 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 592 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 593 | dd2zu(k) |
---|
| 594 | ENDDO |
---|
| 595 | |
---|
| 596 | IF ( use_surface_fluxes ) THEN |
---|
| 597 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 598 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
| 599 | shf(j,i) |
---|
| 600 | ENDIF |
---|
| 601 | |
---|
| 602 | IF ( use_top_fluxes ) THEN |
---|
| 603 | k = nzt |
---|
| 604 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
---|
| 605 | tswst(j,i) |
---|
| 606 | ENDIF |
---|
[97] | 607 | ENDDO |
---|
| 608 | |
---|
[940] | 609 | ENDIF |
---|
[97] | 610 | |
---|
| 611 | ENDIF |
---|
[1] | 612 | |
---|
[940] | 613 | ELSE |
---|
[57] | 614 | |
---|
[940] | 615 | DO j = nys, nyn |
---|
[1] | 616 | |
---|
[940] | 617 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 618 | |
---|
[1007] | 619 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 620 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 621 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 622 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 623 | g / vpt(k,j,i) * & |
---|
| 624 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 625 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 626 | ) * dd2zu(k) |
---|
| 627 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 628 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 629 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 630 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 631 | ELSE |
---|
| 632 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 633 | temp = theta * t_d_pt(k) |
---|
[1342] | 634 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 635 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 636 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 637 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 638 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 639 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 640 | ENDIF |
---|
[1007] | 641 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 642 | g / vpt(k,j,i) * & |
---|
[940] | 643 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 644 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 645 | ) * dd2zu(k) |
---|
[1007] | 646 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 647 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 648 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 649 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 650 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 651 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
| 652 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 653 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 654 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
| 655 | ENDIF |
---|
| 656 | |
---|
[940] | 657 | ENDDO |
---|
| 658 | |
---|
[1] | 659 | ENDDO |
---|
| 660 | |
---|
[940] | 661 | IF ( use_surface_fluxes ) THEN |
---|
[1] | 662 | |
---|
[940] | 663 | DO j = nys, nyn |
---|
[1] | 664 | |
---|
[940] | 665 | k = nzb_diff_s_inner(j,i)-1 |
---|
[1] | 666 | |
---|
[1007] | 667 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 668 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 669 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 670 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 671 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 672 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 673 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 674 | ELSE |
---|
| 675 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 676 | temp = theta * t_d_pt(k) |
---|
[1342] | 677 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
[1353] | 678 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 679 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 680 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 681 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 682 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 683 | ENDIF |
---|
[1007] | 684 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 685 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 686 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1] | 687 | ENDIF |
---|
| 688 | |
---|
[940] | 689 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 690 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
| 691 | ENDDO |
---|
[1] | 692 | |
---|
[940] | 693 | ENDIF |
---|
[1] | 694 | |
---|
[940] | 695 | IF ( use_top_fluxes ) THEN |
---|
[19] | 696 | |
---|
[940] | 697 | DO j = nys, nyn |
---|
[19] | 698 | |
---|
[940] | 699 | k = nzt |
---|
[19] | 700 | |
---|
[1007] | 701 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 702 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 703 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 704 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 705 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 706 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 707 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 708 | ELSE |
---|
| 709 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 710 | temp = theta * t_d_pt(k) |
---|
[1353] | 711 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 712 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 713 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 714 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 715 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 716 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 717 | ENDIF |
---|
[1007] | 718 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 719 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 720 | k2 = 0.61_wp * pt(k,j,i) |
---|
[19] | 721 | ENDIF |
---|
| 722 | |
---|
[940] | 723 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 724 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
| 725 | ENDDO |
---|
[19] | 726 | |
---|
[940] | 727 | ENDIF |
---|
| 728 | |
---|
[19] | 729 | ENDIF |
---|
| 730 | |
---|
[1] | 731 | ENDIF |
---|
| 732 | |
---|
| 733 | ENDDO |
---|
| 734 | |
---|
| 735 | END SUBROUTINE production_e |
---|
| 736 | |
---|
| 737 | |
---|
| 738 | !------------------------------------------------------------------------------! |
---|
[1682] | 739 | ! Description: |
---|
| 740 | ! ------------ |
---|
| 741 | !> Call for grid point i,j |
---|
[1] | 742 | !------------------------------------------------------------------------------! |
---|
| 743 | SUBROUTINE production_e_ij( i, j ) |
---|
| 744 | |
---|
[1320] | 745 | USE arrays_3d, & |
---|
[2031] | 746 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho_ocean, shf, & |
---|
[1320] | 747 | tend, tswst, u, v, vpt, w |
---|
[449] | 748 | |
---|
[1320] | 749 | USE cloud_parameters, & |
---|
| 750 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
| 751 | |
---|
| 752 | USE control_parameters, & |
---|
[1691] | 753 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
| 754 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
| 755 | rho_reference, use_single_reference_value, & |
---|
| 756 | use_surface_fluxes, use_top_fluxes |
---|
[1320] | 757 | |
---|
| 758 | USE grid_variables, & |
---|
| 759 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
---|
| 760 | |
---|
| 761 | USE indices, & |
---|
| 762 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
---|
| 763 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
---|
| 764 | |
---|
[1] | 765 | IMPLICIT NONE |
---|
| 766 | |
---|
[1682] | 767 | INTEGER(iwp) :: i !< |
---|
| 768 | INTEGER(iwp) :: j !< |
---|
| 769 | INTEGER(iwp) :: k !< |
---|
[1] | 770 | |
---|
[1682] | 771 | REAL(wp) :: def !< |
---|
| 772 | REAL(wp) :: dudx !< |
---|
| 773 | REAL(wp) :: dudy !< |
---|
| 774 | REAL(wp) :: dudz !< |
---|
| 775 | REAL(wp) :: dvdx !< |
---|
| 776 | REAL(wp) :: dvdy !< |
---|
| 777 | REAL(wp) :: dvdz !< |
---|
| 778 | REAL(wp) :: dwdx !< |
---|
| 779 | REAL(wp) :: dwdy !< |
---|
| 780 | REAL(wp) :: dwdz !< |
---|
| 781 | REAL(wp) :: k1 !< |
---|
| 782 | REAL(wp) :: k2 !< |
---|
| 783 | REAL(wp) :: km_neutral !< |
---|
| 784 | REAL(wp) :: theta !< |
---|
| 785 | REAL(wp) :: temp !< |
---|
[1] | 786 | |
---|
[1682] | 787 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !< |
---|
| 788 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !< |
---|
| 789 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !< |
---|
| 790 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !< |
---|
[53] | 791 | |
---|
[1] | 792 | ! |
---|
| 793 | !-- Calculate TKE production by shear |
---|
[19] | 794 | DO k = nzb_diff_s_outer(j,i), nzt |
---|
[1] | 795 | |
---|
[1342] | 796 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 797 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 798 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 799 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 800 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 801 | |
---|
[1342] | 802 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 803 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 804 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 805 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 806 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 807 | |
---|
[1342] | 808 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 809 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 810 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 811 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 812 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 813 | |
---|
[1342] | 814 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
| 815 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
| 816 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 817 | |
---|
[1342] | 818 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 819 | |
---|
| 820 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
[1007] | 821 | |
---|
[1] | 822 | ENDDO |
---|
| 823 | |
---|
[1691] | 824 | IF ( constant_flux_layer ) THEN |
---|
[1] | 825 | |
---|
[1342] | 826 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) THEN |
---|
[55] | 827 | |
---|
[1] | 828 | ! |
---|
[55] | 829 | !-- Position beneath wall |
---|
| 830 | !-- (2) - Will allways be executed. |
---|
| 831 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
---|
[1] | 832 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 833 | |
---|
| 834 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[1342] | 835 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 836 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
| 837 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 838 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 839 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[53] | 840 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 841 | |
---|
[1342] | 842 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 843 | ! |
---|
[208] | 844 | !-- Inconsistency removed: as the thermal stratification |
---|
| 845 | !-- is not taken into account for the evaluation of the |
---|
| 846 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 847 | !-- must not be used for the evaluation of the velocity |
---|
| 848 | !-- gradients dudy and dwdy |
---|
| 849 | !-- Note: The validity of the new method has not yet |
---|
| 850 | !-- been shown, as so far no suitable data for a |
---|
| 851 | !-- validation has been available |
---|
[53] | 852 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 853 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
---|
[53] | 854 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 855 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
---|
[1342] | 856 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
---|
| 857 | 0.5_wp * dy |
---|
| 858 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 859 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
| 860 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
| 861 | ELSE |
---|
[1342] | 862 | dudy = 0.0_wp |
---|
| 863 | dwdy = 0.0_wp |
---|
[364] | 864 | ENDIF |
---|
[1] | 865 | ELSE |
---|
[1342] | 866 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 867 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 868 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 869 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 870 | ENDIF |
---|
| 871 | |
---|
[1342] | 872 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 873 | ! |
---|
[208] | 874 | !-- Inconsistency removed: as the thermal stratification |
---|
| 875 | !-- is not taken into account for the evaluation of the |
---|
| 876 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 877 | !-- must not be used for the evaluation of the velocity |
---|
| 878 | !-- gradients dvdx and dwdx |
---|
| 879 | !-- Note: The validity of the new method has not yet |
---|
| 880 | !-- been shown, as so far no suitable data for a |
---|
| 881 | !-- validation has been available |
---|
[53] | 882 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 883 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
---|
[53] | 884 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
---|
[1320] | 885 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
---|
[1342] | 886 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
---|
| 887 | 0.5_wp * dx |
---|
| 888 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 889 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 890 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 891 | ELSE |
---|
[1342] | 892 | dvdx = 0.0_wp |
---|
| 893 | dwdx = 0.0_wp |
---|
[364] | 894 | ENDIF |
---|
[1] | 895 | ELSE |
---|
[1342] | 896 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 897 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 898 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 899 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 900 | ENDIF |
---|
| 901 | |
---|
[1342] | 902 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 903 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 904 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 905 | |
---|
[1342] | 906 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 907 | |
---|
| 908 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 909 | |
---|
| 910 | ! |
---|
[55] | 911 | !-- (3) - will be executed only, if there is at least one level |
---|
| 912 | !-- between (2) and (4), i.e. the topography must have a |
---|
| 913 | !-- minimum height of 2 dz. Wall fluxes for this case have |
---|
| 914 | !-- already been calculated for (2). |
---|
| 915 | !-- 'wall only: use wall functions' |
---|
[1] | 916 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
---|
| 917 | |
---|
| 918 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
[1342] | 919 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 920 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
| 921 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 922 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 923 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[53] | 924 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
| 925 | |
---|
[1342] | 926 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 927 | ! |
---|
[208] | 928 | !-- Inconsistency removed: as the thermal stratification |
---|
| 929 | !-- is not taken into account for the evaluation of the |
---|
| 930 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 931 | !-- must not be used for the evaluation of the velocity |
---|
| 932 | !-- gradients dudy and dwdy |
---|
| 933 | !-- Note: The validity of the new method has not yet |
---|
| 934 | !-- been shown, as so far no suitable data for a |
---|
| 935 | !-- validation has been available |
---|
| 936 | km_neutral = kappa * ( usvs(k)**2 + & |
---|
[1342] | 937 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
---|
| 938 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 939 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
---|
| 940 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
---|
| 941 | ELSE |
---|
[1342] | 942 | dudy = 0.0_wp |
---|
| 943 | dwdy = 0.0_wp |
---|
[364] | 944 | ENDIF |
---|
[1] | 945 | ELSE |
---|
[1342] | 946 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 947 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 948 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 949 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
[1] | 950 | ENDIF |
---|
| 951 | |
---|
[1342] | 952 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
---|
[1007] | 953 | ! |
---|
[208] | 954 | !-- Inconsistency removed: as the thermal stratification |
---|
| 955 | !-- is not taken into account for the evaluation of the |
---|
| 956 | !-- wall fluxes at vertical walls, the eddy viscosity km |
---|
| 957 | !-- must not be used for the evaluation of the velocity |
---|
| 958 | !-- gradients dvdx and dwdx |
---|
| 959 | !-- Note: The validity of the new method has not yet |
---|
| 960 | !-- been shown, as so far no suitable data for a |
---|
| 961 | !-- validation has been available |
---|
| 962 | km_neutral = kappa * ( vsus(k)**2 + & |
---|
[1342] | 963 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
---|
| 964 | IF ( km_neutral > 0.0_wp ) THEN |
---|
[364] | 965 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
---|
| 966 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
---|
| 967 | ELSE |
---|
[1342] | 968 | dvdx = 0.0_wp |
---|
| 969 | dwdx = 0.0_wp |
---|
[364] | 970 | ENDIF |
---|
[1] | 971 | ELSE |
---|
[1342] | 972 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 973 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 974 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 975 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
[1] | 976 | ENDIF |
---|
| 977 | |
---|
[1342] | 978 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 979 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 980 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 981 | |
---|
[1342] | 982 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 983 | |
---|
| 984 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 985 | |
---|
| 986 | ENDDO |
---|
| 987 | |
---|
| 988 | ! |
---|
[55] | 989 | !-- (4) - will allways be executed. |
---|
| 990 | !-- 'special case: free atmosphere' (as for case (0)) |
---|
[1] | 991 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 992 | |
---|
[1342] | 993 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 994 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 995 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 996 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 997 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 998 | |
---|
[1342] | 999 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1000 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1001 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1002 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1003 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 1004 | |
---|
[1342] | 1005 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1006 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1007 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1008 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1009 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 1010 | |
---|
[1353] | 1011 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[1] | 1012 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1353] | 1013 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 1014 | |
---|
[1342] | 1015 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1016 | |
---|
| 1017 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1018 | |
---|
| 1019 | ELSE |
---|
| 1020 | |
---|
| 1021 | ! |
---|
[55] | 1022 | !-- Position without adjacent wall |
---|
| 1023 | !-- (1) - will allways be executed. |
---|
| 1024 | !-- 'bottom only: use u_0,v_0' |
---|
[1] | 1025 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1026 | |
---|
[1342] | 1027 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 1028 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 1029 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 1030 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1031 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
---|
[1] | 1032 | |
---|
[1342] | 1033 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1034 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1035 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1036 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1037 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
---|
[1] | 1038 | |
---|
[1342] | 1039 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1040 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1041 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1042 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1043 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 1044 | |
---|
[1342] | 1045 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
---|
[1] | 1046 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
---|
[1342] | 1047 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[1] | 1048 | |
---|
[1342] | 1049 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1050 | |
---|
| 1051 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1052 | |
---|
| 1053 | ENDIF |
---|
| 1054 | |
---|
[37] | 1055 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 1056 | |
---|
| 1057 | k = nzb_diff_s_outer(j,i)-1 |
---|
| 1058 | |
---|
[1342] | 1059 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 1060 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 1061 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 1062 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1063 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[37] | 1064 | |
---|
[1342] | 1065 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1066 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1067 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1068 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1069 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[37] | 1070 | |
---|
[1342] | 1071 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1072 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1073 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1074 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1075 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[37] | 1076 | |
---|
[1342] | 1077 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
---|
[37] | 1078 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
---|
[1342] | 1079 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
---|
[37] | 1080 | |
---|
[1342] | 1081 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[37] | 1082 | |
---|
| 1083 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
---|
| 1084 | |
---|
[1] | 1085 | ENDIF |
---|
| 1086 | |
---|
| 1087 | ! |
---|
[940] | 1088 | !-- If required, calculate TKE production by buoyancy |
---|
| 1089 | IF ( .NOT. neutral ) THEN |
---|
[1] | 1090 | |
---|
[940] | 1091 | IF ( .NOT. humidity ) THEN |
---|
[19] | 1092 | |
---|
[1179] | 1093 | IF ( use_single_reference_value ) THEN |
---|
[940] | 1094 | |
---|
| 1095 | IF ( ocean ) THEN |
---|
[97] | 1096 | ! |
---|
[940] | 1097 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1098 | !-- the bottom and top surface layer |
---|
| 1099 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 1100 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 1101 | kh(k,j,i) * g / rho_reference * & |
---|
[2031] | 1102 | ( rho_ocean(k+1,j,i) - rho_ocean(k-1,j,i) ) * dd2zu(k) |
---|
[940] | 1103 | ENDDO |
---|
[97] | 1104 | |
---|
[940] | 1105 | ELSE |
---|
[97] | 1106 | |
---|
[940] | 1107 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 1108 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1109 | kh(k,j,i) * g / pt_reference * & |
---|
| 1110 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 1111 | ENDDO |
---|
[1] | 1112 | |
---|
[940] | 1113 | IF ( use_surface_fluxes ) THEN |
---|
| 1114 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1115 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
---|
| 1116 | ENDIF |
---|
[19] | 1117 | |
---|
[940] | 1118 | IF ( use_top_fluxes ) THEN |
---|
| 1119 | k = nzt |
---|
| 1120 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
---|
| 1121 | ENDIF |
---|
| 1122 | |
---|
[97] | 1123 | ENDIF |
---|
| 1124 | |
---|
[940] | 1125 | ELSE |
---|
[57] | 1126 | |
---|
[940] | 1127 | IF ( ocean ) THEN |
---|
[97] | 1128 | ! |
---|
[940] | 1129 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1130 | !-- the bottom and top surface layer |
---|
| 1131 | DO k = nzb_s_inner(j,i)+1, nzt |
---|
| 1132 | tend(k,j,i) = tend(k,j,i) + & |
---|
[2031] | 1133 | kh(k,j,i) * g / rho_ocean(k,j,i) * & |
---|
| 1134 | ( rho_ocean(k+1,j,i) - rho_ocean(k-1,j,i) ) * dd2zu(k) |
---|
[940] | 1135 | ENDDO |
---|
[97] | 1136 | |
---|
[940] | 1137 | ELSE |
---|
[97] | 1138 | |
---|
[940] | 1139 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
| 1140 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1141 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 1142 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
---|
| 1143 | ENDDO |
---|
[57] | 1144 | |
---|
[940] | 1145 | IF ( use_surface_fluxes ) THEN |
---|
| 1146 | k = nzb_diff_s_inner(j,i)-1 |
---|
| 1147 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
---|
| 1148 | ENDIF |
---|
[57] | 1149 | |
---|
[940] | 1150 | IF ( use_top_fluxes ) THEN |
---|
| 1151 | k = nzt |
---|
| 1152 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
---|
| 1153 | ENDIF |
---|
| 1154 | |
---|
[97] | 1155 | ENDIF |
---|
| 1156 | |
---|
[57] | 1157 | ENDIF |
---|
| 1158 | |
---|
[940] | 1159 | ELSE |
---|
[57] | 1160 | |
---|
[940] | 1161 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
---|
[1] | 1162 | |
---|
[1007] | 1163 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1164 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1165 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1166 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1167 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1168 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1169 | ) * dd2zu(k) |
---|
| 1170 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1171 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1172 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1173 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1174 | ELSE |
---|
| 1175 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1176 | temp = theta * t_d_pt(k) |
---|
[1342] | 1177 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1178 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1179 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1180 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1181 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1182 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1183 | ENDIF |
---|
[1007] | 1184 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
[940] | 1185 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1186 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1187 | ) * dd2zu(k) |
---|
[1007] | 1188 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1189 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1190 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1191 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1192 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1193 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 1194 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 1195 | ql(k-1,j,i) ) ) * dd2zu(k) |
---|
| 1196 | ENDIF |
---|
[940] | 1197 | ENDDO |
---|
[19] | 1198 | |
---|
[940] | 1199 | IF ( use_surface_fluxes ) THEN |
---|
| 1200 | k = nzb_diff_s_inner(j,i)-1 |
---|
[1] | 1201 | |
---|
[1007] | 1202 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1203 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1204 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1205 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1206 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1207 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1208 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1209 | ELSE |
---|
| 1210 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1211 | temp = theta * t_d_pt(k) |
---|
[1342] | 1212 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1213 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1214 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1215 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1216 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1217 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1218 | ENDIF |
---|
[1007] | 1219 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1220 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1221 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1] | 1222 | ENDIF |
---|
[940] | 1223 | |
---|
| 1224 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1225 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
---|
[1] | 1226 | ENDIF |
---|
| 1227 | |
---|
[940] | 1228 | IF ( use_top_fluxes ) THEN |
---|
| 1229 | k = nzt |
---|
[1] | 1230 | |
---|
[1007] | 1231 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1232 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1233 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 1234 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1235 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1236 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1237 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1238 | ELSE |
---|
| 1239 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1240 | temp = theta * t_d_pt(k) |
---|
[1342] | 1241 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1242 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1243 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1244 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1245 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1246 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1247 | ENDIF |
---|
[1007] | 1248 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1249 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1250 | k2 = 0.61_wp * pt(k,j,i) |
---|
[19] | 1251 | ENDIF |
---|
[940] | 1252 | |
---|
| 1253 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1254 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
---|
[19] | 1255 | ENDIF |
---|
| 1256 | |
---|
| 1257 | ENDIF |
---|
| 1258 | |
---|
[1] | 1259 | ENDIF |
---|
| 1260 | |
---|
| 1261 | END SUBROUTINE production_e_ij |
---|
| 1262 | |
---|
| 1263 | |
---|
[1682] | 1264 | !------------------------------------------------------------------------------! |
---|
| 1265 | ! Description: |
---|
| 1266 | ! ------------ |
---|
| 1267 | !> @todo Missing subroutine description. |
---|
| 1268 | !------------------------------------------------------------------------------! |
---|
[1] | 1269 | SUBROUTINE production_e_init |
---|
| 1270 | |
---|
[1320] | 1271 | USE arrays_3d, & |
---|
| 1272 | ONLY: kh, km, u, us, usws, v, vsws, zu |
---|
[1] | 1273 | |
---|
[1320] | 1274 | USE control_parameters, & |
---|
[1691] | 1275 | ONLY: constant_flux_layer, kappa |
---|
[1320] | 1276 | |
---|
| 1277 | USE indices, & |
---|
| 1278 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
---|
| 1279 | nzb_v_inner |
---|
| 1280 | |
---|
[1] | 1281 | IMPLICIT NONE |
---|
| 1282 | |
---|
[1682] | 1283 | INTEGER(iwp) :: i !< |
---|
| 1284 | INTEGER(iwp) :: j !< |
---|
| 1285 | INTEGER(iwp) :: ku !< |
---|
| 1286 | INTEGER(iwp) :: kv !< |
---|
[1] | 1287 | |
---|
[1691] | 1288 | IF ( constant_flux_layer ) THEN |
---|
[1] | 1289 | |
---|
| 1290 | IF ( first_call ) THEN |
---|
[759] | 1291 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
---|
[1342] | 1292 | u_0 = 0.0_wp ! just to avoid access of uninitialized memory |
---|
| 1293 | v_0 = 0.0_wp ! within exchange_horiz_2d |
---|
[1] | 1294 | first_call = .FALSE. |
---|
| 1295 | ENDIF |
---|
| 1296 | |
---|
| 1297 | ! |
---|
| 1298 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
| 1299 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
| 1300 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
| 1301 | !-- production term at k=1 (see production_e_ij). |
---|
| 1302 | !-- The velocity gradient has to be limited in case of too small km |
---|
| 1303 | !-- (otherwise the timestep may be significantly reduced by large |
---|
| 1304 | !-- surface winds). |
---|
[106] | 1305 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
---|
| 1306 | !-- not available in case of non-cyclic boundary conditions. |
---|
[1] | 1307 | !-- WARNING: the exact analytical solution would require the determination |
---|
| 1308 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
| 1309 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
---|
[106] | 1310 | DO i = nxl, nxr+1 |
---|
| 1311 | DO j = nys, nyn+1 |
---|
[1] | 1312 | |
---|
| 1313 | ku = nzb_u_inner(j,i)+1 |
---|
| 1314 | kv = nzb_v_inner(j,i)+1 |
---|
| 1315 | |
---|
| 1316 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
---|
[1342] | 1317 | ( 0.5_wp * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
---|
| 1318 | 1.0E-20_wp ) |
---|
[1] | 1319 | ! ( us(j,i) * kappa * zu(1) ) |
---|
| 1320 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
---|
[1342] | 1321 | ( 0.5_wp * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
---|
| 1322 | 1.0E-20_wp ) |
---|
[1] | 1323 | ! ( us(j,i) * kappa * zu(1) ) |
---|
| 1324 | |
---|
| 1325 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
---|
| 1326 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
---|
| 1327 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
---|
| 1328 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
---|
| 1329 | |
---|
| 1330 | ENDDO |
---|
| 1331 | ENDDO |
---|
| 1332 | |
---|
| 1333 | CALL exchange_horiz_2d( u_0 ) |
---|
| 1334 | CALL exchange_horiz_2d( v_0 ) |
---|
| 1335 | |
---|
| 1336 | ENDIF |
---|
| 1337 | |
---|
| 1338 | END SUBROUTINE production_e_init |
---|
| 1339 | |
---|
| 1340 | END MODULE production_e_mod |
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