| 1 | MODULE production_e_mod |
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| 2 | |
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| 3 | !--------------------------------------------------------------------------------! |
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| 4 | ! This file is part of PALM. |
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| 5 | ! |
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| 6 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 7 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 8 | ! either version 3 of the License, or (at your option) any later version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2014 Leibniz Universitaet Hannover |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_e.f90 1375 2014-04-25 13:07:08Z keck $ |
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| 27 | ! |
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| 28 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 29 | ! nzb_s_outer removed from acc-present-list |
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| 30 | ! |
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| 31 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 32 | ! REAL constants provided with KIND-attribute |
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| 33 | ! |
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| 34 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 35 | ! REAL constants defined as wp-kind |
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| 36 | ! |
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| 37 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 38 | ! ONLY-attribute added to USE-statements, |
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| 39 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 40 | ! kinds are defined in new module kinds, |
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| 41 | ! old module precision_kind is removed, |
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| 42 | ! revision history before 2012 removed, |
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| 43 | ! comment fields (!:) to be used for variable explanations added to |
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| 44 | ! all variable declaration statements |
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| 45 | ! |
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| 46 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 47 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 48 | ! the FORTRAN declaration statement |
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| 49 | ! |
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| 50 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 51 | ! use_reference renamed use_single_reference_value |
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| 52 | ! |
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| 53 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 54 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 55 | ! j_north |
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| 56 | ! |
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| 57 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 58 | ! code put under GPL (PALM 3.9) |
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| 59 | ! |
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| 60 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 61 | ! accelerator version (*_acc) added |
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| 62 | ! |
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| 63 | ! 1007 2012-09-19 14:30:36Z franke |
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| 64 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 65 | ! mixing ratio in case of cloud droplets |
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| 66 | ! |
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| 67 | ! 940 2012-07-09 14:31:00Z raasch |
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| 68 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 69 | ! neutral stratification |
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| 70 | ! |
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| 71 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 72 | ! Initial revision |
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| 73 | ! |
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| 74 | ! |
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| 75 | ! Description: |
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| 76 | ! ------------ |
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| 77 | ! Production terms (shear + buoyancy) of the TKE |
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| 78 | ! WARNING: the case with prandtl_layer = F and use_surface_fluxes = T is |
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| 79 | ! not considered well! |
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| 80 | !------------------------------------------------------------------------------! |
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| 81 | |
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| 82 | USE wall_fluxes_mod, & |
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| 83 | ONLY: wall_fluxes_e, wall_fluxes_e_acc |
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| 84 | |
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| 85 | USE kinds |
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| 86 | |
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| 87 | PRIVATE |
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| 88 | PUBLIC production_e, production_e_acc, production_e_init |
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| 89 | |
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| 90 | LOGICAL, SAVE :: first_call = .TRUE. !: |
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| 91 | |
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| 92 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: u_0 !: |
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| 93 | REAL(wp), DIMENSION(:,:), ALLOCATABLE, SAVE :: v_0 !: |
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| 94 | |
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| 95 | INTERFACE production_e |
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| 96 | MODULE PROCEDURE production_e |
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| 97 | MODULE PROCEDURE production_e_ij |
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| 98 | END INTERFACE production_e |
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| 99 | |
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| 100 | INTERFACE production_e_acc |
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| 101 | MODULE PROCEDURE production_e_acc |
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| 102 | END INTERFACE production_e_acc |
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| 103 | |
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| 104 | INTERFACE production_e_init |
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| 105 | MODULE PROCEDURE production_e_init |
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| 106 | END INTERFACE production_e_init |
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| 107 | |
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| 108 | CONTAINS |
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| 109 | |
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| 110 | |
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| 111 | !------------------------------------------------------------------------------! |
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| 112 | ! Call for all grid points |
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| 113 | !------------------------------------------------------------------------------! |
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| 114 | SUBROUTINE production_e |
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| 115 | |
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| 116 | USE arrays_3d, & |
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| 117 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
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| 118 | tend, tswst, u, v, vpt, w |
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| 119 | |
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| 120 | USE cloud_parameters, & |
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| 121 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
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| 122 | |
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| 123 | USE control_parameters, & |
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| 124 | ONLY: cloud_droplets, cloud_physics, g, humidity, kappa, neutral, & |
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| 125 | ocean, prandtl_layer, pt_reference, rho_reference, & |
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| 126 | use_single_reference_value, use_surface_fluxes, & |
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| 127 | use_top_fluxes |
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| 128 | |
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| 129 | USE grid_variables, & |
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| 130 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
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| 131 | |
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| 132 | USE indices, & |
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| 133 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
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| 134 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
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| 135 | |
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| 136 | IMPLICIT NONE |
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| 137 | |
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| 138 | INTEGER(iwp) :: i !: |
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| 139 | INTEGER(iwp) :: j !: |
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| 140 | INTEGER(iwp) :: k !: |
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| 141 | |
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| 142 | REAL(wp) :: def !: |
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| 143 | REAL(wp) :: dudx !: |
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| 144 | REAL(wp) :: dudy !: |
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| 145 | REAL(wp) :: dudz !: |
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| 146 | REAL(wp) :: dvdx !: |
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| 147 | REAL(wp) :: dvdy !: |
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| 148 | REAL(wp) :: dvdz !: |
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| 149 | REAL(wp) :: dwdx !: |
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| 150 | REAL(wp) :: dwdy !: |
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| 151 | REAL(wp) :: dwdz !: |
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| 152 | REAL(wp) :: k1 !: |
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| 153 | REAL(wp) :: k2 !: |
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| 154 | REAL(wp) :: km_neutral !: |
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| 155 | REAL(wp) :: theta !: |
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| 156 | REAL(wp) :: temp !: |
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| 157 | |
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| 158 | ! REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs, vsus, wsus, wsvs |
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| 159 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !: |
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| 160 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !: |
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| 161 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !: |
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| 162 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !: |
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| 163 | |
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| 164 | ! |
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| 165 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
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| 166 | !-- vertical walls, if neccessary |
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| 167 | !-- So far, results are slightly different from the ij-Version. |
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| 168 | !-- Therefore, ij-Version is called further below within the ij-loops. |
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| 169 | ! IF ( topography /= 'flat' ) THEN |
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| 170 | ! CALL wall_fluxes_e( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
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| 171 | ! CALL wall_fluxes_e( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
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| 172 | ! CALL wall_fluxes_e( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
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| 173 | ! CALL wall_fluxes_e( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) |
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| 174 | ! ENDIF |
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| 175 | |
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| 176 | |
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| 177 | DO i = nxl, nxr |
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| 178 | |
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| 179 | ! |
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| 180 | !-- Calculate TKE production by shear |
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| 181 | DO j = nys, nyn |
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| 182 | DO k = nzb_diff_s_outer(j,i), nzt |
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| 183 | |
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| 184 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 185 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 186 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 187 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 188 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 189 | |
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| 190 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 191 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 192 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 193 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 194 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 195 | |
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| 196 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 197 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 198 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 199 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 200 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 201 | |
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| 202 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 203 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 204 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 205 | |
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| 206 | IF ( def < 0.0_wp ) def = 0.0_wp |
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| 207 | |
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| 208 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 209 | |
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| 210 | ENDDO |
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| 211 | ENDDO |
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| 212 | |
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| 213 | IF ( prandtl_layer ) THEN |
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| 214 | |
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| 215 | ! |
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| 216 | !-- Position beneath wall |
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| 217 | !-- (2) - Will allways be executed. |
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| 218 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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| 219 | DO j = nys, nyn |
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| 220 | |
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| 221 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
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| 222 | THEN |
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| 223 | |
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| 224 | k = nzb_diff_s_inner(j,i) - 1 |
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| 225 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 226 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 227 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
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| 228 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 229 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 230 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
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| 231 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 232 | |
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| 233 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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| 234 | ! |
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| 235 | !-- Inconsistency removed: as the thermal stratification is |
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| 236 | !-- not taken into account for the evaluation of the wall |
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| 237 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 238 | !-- be used for the evaluation of the velocity gradients dudy |
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| 239 | !-- and dwdy |
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| 240 | !-- Note: The validity of the new method has not yet been |
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| 241 | !-- shown, as so far no suitable data for a validation |
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| 242 | !-- has been available |
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| 243 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 244 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
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| 245 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 246 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
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| 247 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
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| 248 | 0.5_wp * dy |
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| 249 | IF ( km_neutral > 0.0_wp ) THEN |
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| 250 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 251 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 252 | ELSE |
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| 253 | dudy = 0.0_wp |
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| 254 | dwdy = 0.0_wp |
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| 255 | ENDIF |
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| 256 | ELSE |
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| 257 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 258 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 259 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 260 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 261 | ENDIF |
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| 262 | |
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| 263 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
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| 264 | ! |
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| 265 | !-- Inconsistency removed: as the thermal stratification is |
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| 266 | !-- not taken into account for the evaluation of the wall |
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| 267 | !-- fluxes at vertical walls, the eddy viscosity km must not |
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| 268 | !-- be used for the evaluation of the velocity gradients dvdx |
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| 269 | !-- and dwdx |
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| 270 | !-- Note: The validity of the new method has not yet been |
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| 271 | !-- shown, as so far no suitable data for a validation |
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| 272 | !-- has been available |
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| 273 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 274 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
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| 275 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
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| 276 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
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| 277 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
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| 278 | 0.5_wp * dx |
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| 279 | IF ( km_neutral > 0.0_wp ) THEN |
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| 280 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
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| 281 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
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| 282 | ELSE |
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| 283 | dvdx = 0.0_wp |
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| 284 | dwdx = 0.0_wp |
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| 285 | ENDIF |
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| 286 | ELSE |
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| 287 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 288 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 289 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 290 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 291 | ENDIF |
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| 292 | |
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| 293 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
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| 294 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
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| 295 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
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| 296 | |
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| 297 | IF ( def < 0.0_wp ) def = 0.0_wp |
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| 298 | |
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| 299 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
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| 300 | |
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| 301 | |
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| 302 | ! |
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| 303 | !-- (3) - will be executed only, if there is at least one level |
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| 304 | !-- between (2) and (4), i.e. the topography must have a |
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| 305 | !-- minimum height of 2 dz. Wall fluxes for this case have |
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| 306 | !-- already been calculated for (2). |
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| 307 | !-- 'wall only: use wall functions' |
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| 308 | |
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| 309 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
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| 310 | |
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| 311 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 312 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 313 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
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| 314 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 315 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 316 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
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| 317 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 318 | |
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| 319 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
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| 320 | ! |
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| 321 | !-- Inconsistency removed: as the thermal stratification |
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| 322 | !-- is not taken into account for the evaluation of the |
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| 323 | !-- wall fluxes at vertical walls, the eddy viscosity km |
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| 324 | !-- must not be used for the evaluation of the velocity |
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| 325 | !-- gradients dudy and dwdy |
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| 326 | !-- Note: The validity of the new method has not yet |
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| 327 | !-- been shown, as so far no suitable data for a |
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| 328 | !-- validation has been available |
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| 329 | km_neutral = kappa * ( usvs(k)**2 + & |
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| 330 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
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| 331 | IF ( km_neutral > 0.0_wp ) THEN |
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| 332 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
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| 333 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
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| 334 | ELSE |
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| 335 | dudy = 0.0_wp |
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| 336 | dwdy = 0.0_wp |
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| 337 | ENDIF |
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| 338 | ELSE |
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| 339 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 340 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 341 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 342 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 343 | ENDIF |
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| 344 | |
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| 345 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
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| 346 | ! |
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| 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 dvdx and dwdx |
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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 * ( vsus(k)**2 + & |
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| 356 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
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| 357 | IF ( km_neutral > 0.0_wp ) THEN |
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| 358 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 359 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 360 | ELSE |
|---|
| 361 | dvdx = 0.0_wp |
|---|
| 362 | dwdx = 0.0_wp |
|---|
| 363 | ENDIF |
|---|
| 364 | ELSE |
|---|
| 365 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 366 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 367 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 368 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 369 | ENDIF |
|---|
| 370 | |
|---|
| 371 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 372 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 373 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 374 | |
|---|
| 375 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 376 | |
|---|
| 377 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 378 | |
|---|
| 379 | ENDDO |
|---|
| 380 | |
|---|
| 381 | ENDIF |
|---|
| 382 | |
|---|
| 383 | ENDDO |
|---|
| 384 | |
|---|
| 385 | ! |
|---|
| 386 | !-- (4) - will allways be executed. |
|---|
| 387 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 388 | DO j = nys, nyn |
|---|
| 389 | |
|---|
| 390 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) & |
|---|
| 391 | THEN |
|---|
| 392 | |
|---|
| 393 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 394 | |
|---|
| 395 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 396 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 397 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 398 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 399 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 400 | |
|---|
| 401 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 402 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 403 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 404 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 405 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 406 | |
|---|
| 407 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 408 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 409 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 410 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 411 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 412 | |
|---|
| 413 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 414 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 415 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 416 | |
|---|
| 417 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 418 | |
|---|
| 419 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 420 | |
|---|
| 421 | ENDIF |
|---|
| 422 | |
|---|
| 423 | ENDDO |
|---|
| 424 | |
|---|
| 425 | ! |
|---|
| 426 | !-- Position without adjacent wall |
|---|
| 427 | !-- (1) - will allways be executed. |
|---|
| 428 | !-- 'bottom only: use u_0,v_0' |
|---|
| 429 | DO j = nys, nyn |
|---|
| 430 | |
|---|
| 431 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
|---|
| 432 | THEN |
|---|
| 433 | |
|---|
| 434 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 435 | |
|---|
| 436 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 437 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 438 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 439 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 440 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 441 | |
|---|
| 442 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 443 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 444 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 445 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 446 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 447 | |
|---|
| 448 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 449 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 450 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 451 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 452 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 453 | |
|---|
| 454 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 455 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 456 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 457 | |
|---|
| 458 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 459 | |
|---|
| 460 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 461 | |
|---|
| 462 | ENDIF |
|---|
| 463 | |
|---|
| 464 | ENDDO |
|---|
| 465 | |
|---|
| 466 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 467 | |
|---|
| 468 | DO j = nys, nyn |
|---|
| 469 | |
|---|
| 470 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 471 | |
|---|
| 472 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 473 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 474 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 475 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 476 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 477 | |
|---|
| 478 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 479 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 480 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 481 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 482 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 483 | |
|---|
| 484 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 485 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 486 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 487 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 488 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 489 | |
|---|
| 490 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 491 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 492 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 493 | |
|---|
| 494 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 495 | |
|---|
| 496 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 497 | |
|---|
| 498 | ENDDO |
|---|
| 499 | |
|---|
| 500 | ENDIF |
|---|
| 501 | |
|---|
| 502 | ! |
|---|
| 503 | !-- If required, calculate TKE production by buoyancy |
|---|
| 504 | IF ( .NOT. neutral ) THEN |
|---|
| 505 | |
|---|
| 506 | IF ( .NOT. humidity ) THEN |
|---|
| 507 | |
|---|
| 508 | IF ( use_single_reference_value ) THEN |
|---|
| 509 | |
|---|
| 510 | IF ( ocean ) THEN |
|---|
| 511 | ! |
|---|
| 512 | !-- So far in the ocean no special treatment of density flux |
|---|
| 513 | !-- in the bottom and top surface layer |
|---|
| 514 | DO j = nys, nyn |
|---|
| 515 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 516 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 517 | kh(k,j,i) * g / rho_reference * & |
|---|
| 518 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 519 | dd2zu(k) |
|---|
| 520 | ENDDO |
|---|
| 521 | ENDDO |
|---|
| 522 | |
|---|
| 523 | ELSE |
|---|
| 524 | |
|---|
| 525 | DO j = nys, nyn |
|---|
| 526 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 527 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 528 | kh(k,j,i) * g / pt_reference * & |
|---|
| 529 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 530 | dd2zu(k) |
|---|
| 531 | ENDDO |
|---|
| 532 | |
|---|
| 533 | IF ( use_surface_fluxes ) THEN |
|---|
| 534 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 535 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 536 | shf(j,i) |
|---|
| 537 | ENDIF |
|---|
| 538 | |
|---|
| 539 | IF ( use_top_fluxes ) THEN |
|---|
| 540 | k = nzt |
|---|
| 541 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 542 | tswst(j,i) |
|---|
| 543 | ENDIF |
|---|
| 544 | ENDDO |
|---|
| 545 | |
|---|
| 546 | ENDIF |
|---|
| 547 | |
|---|
| 548 | ELSE |
|---|
| 549 | |
|---|
| 550 | IF ( ocean ) THEN |
|---|
| 551 | ! |
|---|
| 552 | !-- So far in the ocean no special treatment of density flux |
|---|
| 553 | !-- in the bottom and top surface layer |
|---|
| 554 | DO j = nys, nyn |
|---|
| 555 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 556 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 557 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 558 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 559 | dd2zu(k) |
|---|
| 560 | ENDDO |
|---|
| 561 | ENDDO |
|---|
| 562 | |
|---|
| 563 | ELSE |
|---|
| 564 | |
|---|
| 565 | DO j = nys, nyn |
|---|
| 566 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 567 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 568 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 569 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 570 | dd2zu(k) |
|---|
| 571 | ENDDO |
|---|
| 572 | |
|---|
| 573 | IF ( use_surface_fluxes ) THEN |
|---|
| 574 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 575 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 576 | shf(j,i) |
|---|
| 577 | ENDIF |
|---|
| 578 | |
|---|
| 579 | IF ( use_top_fluxes ) THEN |
|---|
| 580 | k = nzt |
|---|
| 581 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 582 | tswst(j,i) |
|---|
| 583 | ENDIF |
|---|
| 584 | ENDDO |
|---|
| 585 | |
|---|
| 586 | ENDIF |
|---|
| 587 | |
|---|
| 588 | ENDIF |
|---|
| 589 | |
|---|
| 590 | ELSE |
|---|
| 591 | |
|---|
| 592 | DO j = nys, nyn |
|---|
| 593 | |
|---|
| 594 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 595 | |
|---|
| 596 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 597 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 598 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 599 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 600 | g / vpt(k,j,i) * & |
|---|
| 601 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 602 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 603 | ) * dd2zu(k) |
|---|
| 604 | ELSE IF ( cloud_physics ) THEN |
|---|
| 605 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 606 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 607 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 608 | ELSE |
|---|
| 609 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 610 | temp = theta * t_d_pt(k) |
|---|
| 611 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 612 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 613 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 614 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 615 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 616 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 617 | ENDIF |
|---|
| 618 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 619 | g / vpt(k,j,i) * & |
|---|
| 620 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 621 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 622 | ) * dd2zu(k) |
|---|
| 623 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 624 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 625 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 626 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 627 | kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 628 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
|---|
| 629 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 630 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 631 | ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 632 | ENDIF |
|---|
| 633 | |
|---|
| 634 | ENDDO |
|---|
| 635 | |
|---|
| 636 | ENDDO |
|---|
| 637 | |
|---|
| 638 | IF ( use_surface_fluxes ) THEN |
|---|
| 639 | |
|---|
| 640 | DO j = nys, nyn |
|---|
| 641 | |
|---|
| 642 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 643 | |
|---|
| 644 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 645 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 646 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 647 | ELSE IF ( cloud_physics ) THEN |
|---|
| 648 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 649 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 650 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 651 | ELSE |
|---|
| 652 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 653 | temp = theta * t_d_pt(k) |
|---|
| 654 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 655 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 656 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 657 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 658 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 659 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 660 | ENDIF |
|---|
| 661 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 662 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 663 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 664 | ENDIF |
|---|
| 665 | |
|---|
| 666 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 667 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 668 | ENDDO |
|---|
| 669 | |
|---|
| 670 | ENDIF |
|---|
| 671 | |
|---|
| 672 | IF ( use_top_fluxes ) THEN |
|---|
| 673 | |
|---|
| 674 | DO j = nys, nyn |
|---|
| 675 | |
|---|
| 676 | k = nzt |
|---|
| 677 | |
|---|
| 678 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 679 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 680 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 681 | ELSE IF ( cloud_physics ) THEN |
|---|
| 682 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 683 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 684 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 685 | ELSE |
|---|
| 686 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 687 | temp = theta * t_d_pt(k) |
|---|
| 688 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 689 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 690 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 691 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 692 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 693 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 694 | ENDIF |
|---|
| 695 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 696 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 697 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 698 | ENDIF |
|---|
| 699 | |
|---|
| 700 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 701 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 702 | ENDDO |
|---|
| 703 | |
|---|
| 704 | ENDIF |
|---|
| 705 | |
|---|
| 706 | ENDIF |
|---|
| 707 | |
|---|
| 708 | ENDIF |
|---|
| 709 | |
|---|
| 710 | ENDDO |
|---|
| 711 | |
|---|
| 712 | END SUBROUTINE production_e |
|---|
| 713 | |
|---|
| 714 | |
|---|
| 715 | !------------------------------------------------------------------------------! |
|---|
| 716 | ! Call for all grid points - accelerator version |
|---|
| 717 | !------------------------------------------------------------------------------! |
|---|
| 718 | SUBROUTINE production_e_acc |
|---|
| 719 | |
|---|
| 720 | USE arrays_3d, & |
|---|
| 721 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
|---|
| 722 | tend, tswst, u, v, vpt, w |
|---|
| 723 | |
|---|
| 724 | USE cloud_parameters, & |
|---|
| 725 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
|---|
| 726 | |
|---|
| 727 | USE control_parameters, & |
|---|
| 728 | ONLY: cloud_droplets, cloud_physics, g, humidity, kappa, neutral, & |
|---|
| 729 | ocean, prandtl_layer, pt_reference, rho_reference, & |
|---|
| 730 | topography, use_single_reference_value, use_surface_fluxes, & |
|---|
| 731 | use_top_fluxes |
|---|
| 732 | |
|---|
| 733 | USE grid_variables, & |
|---|
| 734 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
|---|
| 735 | |
|---|
| 736 | USE indices, & |
|---|
| 737 | ONLY: i_left, i_right, j_north, j_south, nxl, nxr, nys, nyn, nzb, & |
|---|
| 738 | nzb_diff_s_inner, nzb_diff_s_outer, nzb_s_inner, nzt, & |
|---|
| 739 | nzt_diff |
|---|
| 740 | |
|---|
| 741 | IMPLICIT NONE |
|---|
| 742 | |
|---|
| 743 | INTEGER(iwp) :: i !: |
|---|
| 744 | INTEGER(iwp) :: j !: |
|---|
| 745 | INTEGER(iwp) :: k !: |
|---|
| 746 | |
|---|
| 747 | REAL(wp) :: def !: |
|---|
| 748 | REAL(wp) :: dudx !: |
|---|
| 749 | REAL(wp) :: dudy !: |
|---|
| 750 | REAL(wp) :: dudz !: |
|---|
| 751 | REAL(wp) :: dvdx !: |
|---|
| 752 | REAL(wp) :: dvdy !: |
|---|
| 753 | REAL(wp) :: dvdz !: |
|---|
| 754 | REAL(wp) :: dwdx !: |
|---|
| 755 | REAL(wp) :: dwdy !: |
|---|
| 756 | REAL(wp) :: dwdz !: |
|---|
| 757 | REAL(wp) :: k1 !: |
|---|
| 758 | REAL(wp) :: k2 !: |
|---|
| 759 | REAL(wp) :: km_neutral !: |
|---|
| 760 | REAL(wp) :: theta !: |
|---|
| 761 | REAL(wp) :: temp !: |
|---|
| 762 | |
|---|
| 763 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: usvs !: |
|---|
| 764 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: vsus !: |
|---|
| 765 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsus !: |
|---|
| 766 | REAL(wp), DIMENSION(nzb:nzt+1,nys:nyn,nxl:nxr) :: wsvs !: |
|---|
| 767 | !$acc declare create ( usvs, vsus, wsus, wsvs ) |
|---|
| 768 | |
|---|
| 769 | ! |
|---|
| 770 | !-- First calculate horizontal momentum flux u'v', w'v', v'u', w'u' at |
|---|
| 771 | !-- vertical walls, if neccessary |
|---|
| 772 | !-- CAUTION: results are slightly different from the ij-version!! |
|---|
| 773 | !-- ij-version should be called further below within the ij-loops!! |
|---|
| 774 | IF ( topography /= 'flat' ) THEN |
|---|
| 775 | CALL wall_fluxes_e_acc( usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp, wall_e_y ) |
|---|
| 776 | CALL wall_fluxes_e_acc( wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp, wall_e_y ) |
|---|
| 777 | CALL wall_fluxes_e_acc( vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp, wall_e_x ) |
|---|
| 778 | CALL wall_fluxes_e_acc( wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp, wall_e_x ) |
|---|
| 779 | ENDIF |
|---|
| 780 | |
|---|
| 781 | |
|---|
| 782 | ! |
|---|
| 783 | !-- Calculate TKE production by shear |
|---|
| 784 | !$acc kernels present( ddzw, dd2zu, kh, km, nzb_diff_s_inner, nzb_diff_s_outer ) & |
|---|
| 785 | !$acc present( nzb_s_inner, pt, q, ql, qsws, qswst, rho ) & |
|---|
| 786 | !$acc present( shf, tend, tswst, u, v, vpt, w, wall_e_x, wall_e_y ) & |
|---|
| 787 | !$acc copyin( u_0, v_0 ) |
|---|
| 788 | DO i = i_left, i_right |
|---|
| 789 | DO j = j_south, j_north |
|---|
| 790 | DO k = 1, nzt |
|---|
| 791 | |
|---|
| 792 | IF ( k >= nzb_diff_s_outer(j,i) ) THEN |
|---|
| 793 | |
|---|
| 794 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 795 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 796 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 797 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 798 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 799 | |
|---|
| 800 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 801 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 802 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 803 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 804 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 805 | |
|---|
| 806 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 807 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 808 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 809 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 810 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 811 | |
|---|
| 812 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 813 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 814 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 815 | |
|---|
| 816 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 817 | |
|---|
| 818 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 819 | |
|---|
| 820 | ENDIF |
|---|
| 821 | |
|---|
| 822 | ENDDO |
|---|
| 823 | ENDDO |
|---|
| 824 | ENDDO |
|---|
| 825 | |
|---|
| 826 | IF ( prandtl_layer ) THEN |
|---|
| 827 | |
|---|
| 828 | ! |
|---|
| 829 | !-- Position beneath wall |
|---|
| 830 | !-- (2) - Will allways be executed. |
|---|
| 831 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 832 | DO i = i_left, i_right |
|---|
| 833 | DO j = j_south, j_north |
|---|
| 834 | DO k = 1, nzt |
|---|
| 835 | |
|---|
| 836 | IF ( ( wall_e_x(j,i) /= 0.0_wp ).OR.( wall_e_y(j,i) /= 0.0_wp ) ) & |
|---|
| 837 | THEN |
|---|
| 838 | |
|---|
| 839 | IF ( k == nzb_diff_s_inner(j,i) - 1 ) THEN |
|---|
| 840 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 841 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 842 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 843 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 844 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 845 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 846 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 847 | |
|---|
| 848 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
|---|
| 849 | ! |
|---|
| 850 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 851 | !-- not taken into account for the evaluation of the wall |
|---|
| 852 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 853 | !-- be used for the evaluation of the velocity gradients dudy |
|---|
| 854 | !-- and dwdy |
|---|
| 855 | !-- Note: The validity of the new method has not yet been |
|---|
| 856 | !-- shown, as so far no suitable data for a validation |
|---|
| 857 | !-- has been available |
|---|
| 858 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 859 | ! usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
|---|
| 860 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 861 | ! wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
|---|
| 862 | km_neutral = kappa * & |
|---|
| 863 | ( usvs(k,j,i)**2 + wsvs(k,j,i)**2 )**0.25_wp * & |
|---|
| 864 | 0.5_wp * dy |
|---|
| 865 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 866 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
|---|
| 867 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
|---|
| 868 | ELSE |
|---|
| 869 | dudy = 0.0_wp |
|---|
| 870 | dwdy = 0.0_wp |
|---|
| 871 | ENDIF |
|---|
| 872 | ELSE |
|---|
| 873 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 874 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 875 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 876 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 877 | ENDIF |
|---|
| 878 | |
|---|
| 879 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
|---|
| 880 | ! |
|---|
| 881 | !-- Inconsistency removed: as the thermal stratification is |
|---|
| 882 | !-- not taken into account for the evaluation of the wall |
|---|
| 883 | !-- fluxes at vertical walls, the eddy viscosity km must not |
|---|
| 884 | !-- be used for the evaluation of the velocity gradients dvdx |
|---|
| 885 | !-- and dwdx |
|---|
| 886 | !-- Note: The validity of the new method has not yet been |
|---|
| 887 | !-- shown, as so far no suitable data for a validation |
|---|
| 888 | !-- has been available |
|---|
| 889 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 890 | ! vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
|---|
| 891 | ! CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 892 | ! wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
|---|
| 893 | km_neutral = kappa * & |
|---|
| 894 | ( vsus(k,j,i)**2 + wsus(k,j,i)**2 )**0.25_wp * & |
|---|
| 895 | 0.5_wp * dx |
|---|
| 896 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 897 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
|---|
| 898 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
|---|
| 899 | ELSE |
|---|
| 900 | dvdx = 0.0_wp |
|---|
| 901 | dwdx = 0.0_wp |
|---|
| 902 | ENDIF |
|---|
| 903 | ELSE |
|---|
| 904 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 905 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 906 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 907 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 908 | ENDIF |
|---|
| 909 | |
|---|
| 910 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 911 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 912 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 913 | |
|---|
| 914 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 915 | |
|---|
| 916 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 917 | |
|---|
| 918 | ENDIF |
|---|
| 919 | ! |
|---|
| 920 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 921 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 922 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 923 | !-- already been calculated for (2). |
|---|
| 924 | !-- 'wall only: use wall functions' |
|---|
| 925 | |
|---|
| 926 | IF ( k >= nzb_diff_s_inner(j,i) .AND. & |
|---|
| 927 | k <= nzb_diff_s_outer(j,i)-2 ) THEN |
|---|
| 928 | |
|---|
| 929 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 930 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 931 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 932 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 933 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 934 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 935 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 936 | |
|---|
| 937 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
|---|
| 938 | ! |
|---|
| 939 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 940 | !-- is not taken into account for the evaluation of the |
|---|
| 941 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 942 | !-- must not be used for the evaluation of the velocity |
|---|
| 943 | !-- gradients dudy and dwdy |
|---|
| 944 | !-- Note: The validity of the new method has not yet |
|---|
| 945 | !-- been shown, as so far no suitable data for a |
|---|
| 946 | !-- validation has been available |
|---|
| 947 | km_neutral = kappa * ( usvs(k,j,i)**2 + & |
|---|
| 948 | wsvs(k,j,i)**2 )**0.25_wp * 0.5_wp * dy |
|---|
| 949 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 950 | dudy = - wall_e_y(j,i) * usvs(k,j,i) / km_neutral |
|---|
| 951 | dwdy = - wall_e_y(j,i) * wsvs(k,j,i) / km_neutral |
|---|
| 952 | ELSE |
|---|
| 953 | dudy = 0.0_wp |
|---|
| 954 | dwdy = 0.0_wp |
|---|
| 955 | ENDIF |
|---|
| 956 | ELSE |
|---|
| 957 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 958 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 959 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 960 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 961 | ENDIF |
|---|
| 962 | |
|---|
| 963 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
|---|
| 964 | ! |
|---|
| 965 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 966 | !-- is not taken into account for the evaluation of the |
|---|
| 967 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 968 | !-- must not be used for the evaluation of the velocity |
|---|
| 969 | !-- gradients dvdx and dwdx |
|---|
| 970 | !-- Note: The validity of the new method has not yet |
|---|
| 971 | !-- been shown, as so far no suitable data for a |
|---|
| 972 | !-- validation has been available |
|---|
| 973 | km_neutral = kappa * ( vsus(k,j,i)**2 + & |
|---|
| 974 | wsus(k,j,i)**2 )**0.25_wp * 0.5_wp * dx |
|---|
| 975 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 976 | dvdx = - wall_e_x(j,i) * vsus(k,j,i) / km_neutral |
|---|
| 977 | dwdx = - wall_e_x(j,i) * wsus(k,j,i) / km_neutral |
|---|
| 978 | ELSE |
|---|
| 979 | dvdx = 0.0_wp |
|---|
| 980 | dwdx = 0.0_wp |
|---|
| 981 | ENDIF |
|---|
| 982 | ELSE |
|---|
| 983 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 984 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 985 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 986 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 987 | ENDIF |
|---|
| 988 | |
|---|
| 989 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 990 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 991 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 992 | |
|---|
| 993 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 994 | |
|---|
| 995 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 996 | |
|---|
| 997 | ENDIF |
|---|
| 998 | |
|---|
| 999 | ! |
|---|
| 1000 | !-- (4) - will allways be executed. |
|---|
| 1001 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 1002 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
|---|
| 1003 | |
|---|
| 1004 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1005 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1006 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1007 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1008 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1009 | |
|---|
| 1010 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1011 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1012 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1013 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1014 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1015 | |
|---|
| 1016 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1017 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1018 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1019 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1020 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1021 | |
|---|
| 1022 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1023 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1024 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1025 | |
|---|
| 1026 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1027 | |
|---|
| 1028 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1029 | |
|---|
| 1030 | ENDIF |
|---|
| 1031 | |
|---|
| 1032 | ENDIF |
|---|
| 1033 | |
|---|
| 1034 | ENDDO |
|---|
| 1035 | ENDDO |
|---|
| 1036 | ENDDO |
|---|
| 1037 | |
|---|
| 1038 | ! |
|---|
| 1039 | !-- Position without adjacent wall |
|---|
| 1040 | !-- (1) - will allways be executed. |
|---|
| 1041 | !-- 'bottom only: use u_0,v_0' |
|---|
| 1042 | DO i = i_left, i_right |
|---|
| 1043 | DO j = j_south, j_north |
|---|
| 1044 | DO k = 1, nzt |
|---|
| 1045 | |
|---|
| 1046 | IF ( ( wall_e_x(j,i) == 0.0_wp ) .AND. ( wall_e_y(j,i) == 0.0_wp ) ) & |
|---|
| 1047 | THEN |
|---|
| 1048 | |
|---|
| 1049 | IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
|---|
| 1050 | |
|---|
| 1051 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1052 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1053 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1054 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1055 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1056 | |
|---|
| 1057 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1058 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1059 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1060 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1061 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1062 | |
|---|
| 1063 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1064 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1065 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1066 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1067 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1068 | |
|---|
| 1069 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1070 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1071 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1072 | |
|---|
| 1073 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1074 | |
|---|
| 1075 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1076 | |
|---|
| 1077 | ENDIF |
|---|
| 1078 | |
|---|
| 1079 | ENDIF |
|---|
| 1080 | |
|---|
| 1081 | ENDDO |
|---|
| 1082 | ENDDO |
|---|
| 1083 | ENDDO |
|---|
| 1084 | |
|---|
| 1085 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 1086 | |
|---|
| 1087 | DO i = i_left, i_right |
|---|
| 1088 | DO j = j_south, j_north |
|---|
| 1089 | DO k = 1, nzt |
|---|
| 1090 | |
|---|
| 1091 | IF ( k == nzb_diff_s_outer(j,i)-1 ) THEN |
|---|
| 1092 | |
|---|
| 1093 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1094 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1095 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1096 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1097 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1098 | |
|---|
| 1099 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1100 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1101 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1102 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1103 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1104 | |
|---|
| 1105 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1106 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1107 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1108 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1109 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1110 | |
|---|
| 1111 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1112 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1113 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1114 | |
|---|
| 1115 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1116 | |
|---|
| 1117 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1118 | |
|---|
| 1119 | ENDIF |
|---|
| 1120 | |
|---|
| 1121 | ENDDO |
|---|
| 1122 | ENDDO |
|---|
| 1123 | ENDDO |
|---|
| 1124 | |
|---|
| 1125 | ENDIF |
|---|
| 1126 | |
|---|
| 1127 | ! |
|---|
| 1128 | !-- If required, calculate TKE production by buoyancy |
|---|
| 1129 | IF ( .NOT. neutral ) THEN |
|---|
| 1130 | |
|---|
| 1131 | IF ( .NOT. humidity ) THEN |
|---|
| 1132 | |
|---|
| 1133 | IF ( use_single_reference_value ) THEN |
|---|
| 1134 | |
|---|
| 1135 | IF ( ocean ) THEN |
|---|
| 1136 | ! |
|---|
| 1137 | !-- So far in the ocean no special treatment of density flux |
|---|
| 1138 | !-- in the bottom and top surface layer |
|---|
| 1139 | DO i = i_left, i_right |
|---|
| 1140 | DO j = j_south, j_north |
|---|
| 1141 | DO k = 1, nzt |
|---|
| 1142 | IF ( k > nzb_s_inner(j,i) ) THEN |
|---|
| 1143 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1144 | kh(k,j,i) * g / rho_reference * & |
|---|
| 1145 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 1146 | dd2zu(k) |
|---|
| 1147 | ENDIF |
|---|
| 1148 | ENDDO |
|---|
| 1149 | ENDDO |
|---|
| 1150 | ENDDO |
|---|
| 1151 | |
|---|
| 1152 | ELSE |
|---|
| 1153 | |
|---|
| 1154 | DO i = i_left, i_right |
|---|
| 1155 | DO j = j_south, j_north |
|---|
| 1156 | DO k = 1, nzt_diff |
|---|
| 1157 | IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1158 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1159 | kh(k,j,i) * g / pt_reference * & |
|---|
| 1160 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 1161 | dd2zu(k) |
|---|
| 1162 | ENDIF |
|---|
| 1163 | |
|---|
| 1164 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
|---|
| 1165 | use_surface_fluxes ) THEN |
|---|
| 1166 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 1167 | shf(j,i) |
|---|
| 1168 | ENDIF |
|---|
| 1169 | |
|---|
| 1170 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
|---|
| 1171 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
|---|
| 1172 | tswst(j,i) |
|---|
| 1173 | ENDIF |
|---|
| 1174 | ENDDO |
|---|
| 1175 | ENDDO |
|---|
| 1176 | ENDDO |
|---|
| 1177 | |
|---|
| 1178 | ENDIF |
|---|
| 1179 | |
|---|
| 1180 | ELSE |
|---|
| 1181 | |
|---|
| 1182 | IF ( ocean ) THEN |
|---|
| 1183 | ! |
|---|
| 1184 | !-- So far in the ocean no special treatment of density flux |
|---|
| 1185 | !-- in the bottom and top surface layer |
|---|
| 1186 | DO i = i_left, i_right |
|---|
| 1187 | DO j = j_south, j_north |
|---|
| 1188 | DO k = 1, nzt |
|---|
| 1189 | IF ( k > nzb_s_inner(j,i) ) THEN |
|---|
| 1190 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1191 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 1192 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * & |
|---|
| 1193 | dd2zu(k) |
|---|
| 1194 | ENDIF |
|---|
| 1195 | ENDDO |
|---|
| 1196 | ENDDO |
|---|
| 1197 | ENDDO |
|---|
| 1198 | |
|---|
| 1199 | ELSE |
|---|
| 1200 | |
|---|
| 1201 | DO i = i_left, i_right |
|---|
| 1202 | DO j = j_south, j_north |
|---|
| 1203 | DO k = 1, nzt_diff |
|---|
| 1204 | IF( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1205 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1206 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 1207 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 1208 | dd2zu(k) |
|---|
| 1209 | ENDIF |
|---|
| 1210 | |
|---|
| 1211 | IF ( k == nzb_diff_s_inner(j,i)-1 .AND. & |
|---|
| 1212 | use_surface_fluxes ) THEN |
|---|
| 1213 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 1214 | shf(j,i) |
|---|
| 1215 | ENDIF |
|---|
| 1216 | |
|---|
| 1217 | IF ( k == nzt .AND. use_top_fluxes ) THEN |
|---|
| 1218 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * & |
|---|
| 1219 | tswst(j,i) |
|---|
| 1220 | ENDIF |
|---|
| 1221 | ENDDO |
|---|
| 1222 | ENDDO |
|---|
| 1223 | ENDDO |
|---|
| 1224 | |
|---|
| 1225 | ENDIF |
|---|
| 1226 | |
|---|
| 1227 | ENDIF |
|---|
| 1228 | |
|---|
| 1229 | ELSE |
|---|
| 1230 | ! |
|---|
| 1231 | !++ This part gives the PGI compiler problems in the previous loop |
|---|
| 1232 | !++ even without any acc statements???? |
|---|
| 1233 | ! STOP '+++ production_e problems with acc-directives' |
|---|
| 1234 | ! !acc loop |
|---|
| 1235 | ! DO i = nxl, nxr |
|---|
| 1236 | ! DO j = nys, nyn |
|---|
| 1237 | ! !acc loop vector |
|---|
| 1238 | ! DO k = 1, nzt_diff |
|---|
| 1239 | ! |
|---|
| 1240 | ! IF ( k >= nzb_diff_s_inner(j,i) ) THEN |
|---|
| 1241 | ! |
|---|
| 1242 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1243 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1244 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1245 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 1246 | ! g / vpt(k,j,i) * & |
|---|
| 1247 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1248 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1249 | ! ) * dd2zu(k) |
|---|
| 1250 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1251 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1252 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1253 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1254 | ! ELSE |
|---|
| 1255 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1256 | ! temp = theta * t_d_pt(k) |
|---|
| 1257 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1258 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1259 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1260 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1261 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1262 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1263 | ! ENDIF |
|---|
| 1264 | ! tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 1265 | ! g / vpt(k,j,i) * & |
|---|
| 1266 | ! ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1267 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1268 | ! ) * dd2zu(k) |
|---|
| 1269 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1270 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1271 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1272 | ! tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1273 | ! kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1274 | ! ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
|---|
| 1275 | ! k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 1276 | ! pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 1277 | ! ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 1278 | ! ENDIF |
|---|
| 1279 | ! |
|---|
| 1280 | ! ENDIF |
|---|
| 1281 | ! |
|---|
| 1282 | ! ENDDO |
|---|
| 1283 | ! ENDDO |
|---|
| 1284 | ! ENDDO |
|---|
| 1285 | ! |
|---|
| 1286 | |
|---|
| 1287 | !!++ Next two loops are probably very inefficiently parallellized |
|---|
| 1288 | !!++ and will require better optimization |
|---|
| 1289 | ! IF ( use_surface_fluxes ) THEN |
|---|
| 1290 | ! |
|---|
| 1291 | ! !acc loop |
|---|
| 1292 | ! DO i = nxl, nxr |
|---|
| 1293 | ! DO j = nys, nyn |
|---|
| 1294 | ! !acc loop vector |
|---|
| 1295 | ! DO k = 1, nzt_diff |
|---|
| 1296 | ! |
|---|
| 1297 | ! IF ( k == nzb_diff_s_inner(j,i)-1 ) THEN |
|---|
| 1298 | ! |
|---|
| 1299 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1300 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1301 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1302 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1303 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1304 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1305 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1306 | ! ELSE |
|---|
| 1307 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1308 | ! temp = theta * t_d_pt(k) |
|---|
| 1309 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1310 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1311 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) /& |
|---|
| 1312 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1313 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1314 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1315 | ! ENDIF |
|---|
| 1316 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1317 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1318 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1319 | ! ENDIF |
|---|
| 1320 | ! |
|---|
| 1321 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1322 | ! ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 1323 | ! ENDIF |
|---|
| 1324 | ! |
|---|
| 1325 | ! ENDDO |
|---|
| 1326 | ! ENDDO |
|---|
| 1327 | ! ENDDO |
|---|
| 1328 | ! |
|---|
| 1329 | ! ENDIF |
|---|
| 1330 | ! |
|---|
| 1331 | ! IF ( use_top_fluxes ) THEN |
|---|
| 1332 | ! |
|---|
| 1333 | ! !acc loop |
|---|
| 1334 | ! DO i = nxl, nxr |
|---|
| 1335 | ! DO j = nys, nyn |
|---|
| 1336 | ! !acc loop vector |
|---|
| 1337 | ! DO k = 1, nzt |
|---|
| 1338 | ! IF ( k == nzt ) THEN |
|---|
| 1339 | ! |
|---|
| 1340 | ! IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1341 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1342 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1343 | ! ELSE IF ( cloud_physics ) THEN |
|---|
| 1344 | ! IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1345 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1346 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1347 | ! ELSE |
|---|
| 1348 | ! theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1349 | ! temp = theta * t_d_pt(k) |
|---|
| 1350 | ! k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1351 | ! ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1352 | ! ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) /& |
|---|
| 1353 | ! ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1354 | ! ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1355 | ! k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1356 | ! ENDIF |
|---|
| 1357 | ! ELSE IF ( cloud_droplets ) THEN |
|---|
| 1358 | ! k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1359 | ! k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1360 | ! ENDIF |
|---|
| 1361 | ! |
|---|
| 1362 | ! tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1363 | ! ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 1364 | ! |
|---|
| 1365 | ! ENDIF |
|---|
| 1366 | ! |
|---|
| 1367 | ! ENDDO |
|---|
| 1368 | ! ENDDO |
|---|
| 1369 | ! ENDDO |
|---|
| 1370 | ! |
|---|
| 1371 | ! ENDIF |
|---|
| 1372 | |
|---|
| 1373 | ENDIF |
|---|
| 1374 | |
|---|
| 1375 | ENDIF |
|---|
| 1376 | !$acc end kernels |
|---|
| 1377 | |
|---|
| 1378 | END SUBROUTINE production_e_acc |
|---|
| 1379 | |
|---|
| 1380 | |
|---|
| 1381 | !------------------------------------------------------------------------------! |
|---|
| 1382 | ! Call for grid point i,j |
|---|
| 1383 | !------------------------------------------------------------------------------! |
|---|
| 1384 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 1385 | |
|---|
| 1386 | USE arrays_3d, & |
|---|
| 1387 | ONLY: ddzw, dd2zu, kh, km, pt, q, ql, qsws, qswst, rho, shf, & |
|---|
| 1388 | tend, tswst, u, v, vpt, w |
|---|
| 1389 | |
|---|
| 1390 | USE cloud_parameters, & |
|---|
| 1391 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
|---|
| 1392 | |
|---|
| 1393 | USE control_parameters, & |
|---|
| 1394 | ONLY: cloud_droplets, cloud_physics, g, humidity, kappa, neutral, & |
|---|
| 1395 | ocean, prandtl_layer, pt_reference, rho_reference, & |
|---|
| 1396 | use_single_reference_value, use_surface_fluxes, & |
|---|
| 1397 | use_top_fluxes |
|---|
| 1398 | |
|---|
| 1399 | USE grid_variables, & |
|---|
| 1400 | ONLY: ddx, dx, ddy, dy, wall_e_x, wall_e_y |
|---|
| 1401 | |
|---|
| 1402 | USE indices, & |
|---|
| 1403 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_diff_s_inner, & |
|---|
| 1404 | nzb_diff_s_outer, nzb_s_inner, nzt, nzt_diff |
|---|
| 1405 | |
|---|
| 1406 | IMPLICIT NONE |
|---|
| 1407 | |
|---|
| 1408 | INTEGER(iwp) :: i !: |
|---|
| 1409 | INTEGER(iwp) :: j !: |
|---|
| 1410 | INTEGER(iwp) :: k !: |
|---|
| 1411 | |
|---|
| 1412 | REAL(wp) :: def !: |
|---|
| 1413 | REAL(wp) :: dudx !: |
|---|
| 1414 | REAL(wp) :: dudy !: |
|---|
| 1415 | REAL(wp) :: dudz !: |
|---|
| 1416 | REAL(wp) :: dvdx !: |
|---|
| 1417 | REAL(wp) :: dvdy !: |
|---|
| 1418 | REAL(wp) :: dvdz !: |
|---|
| 1419 | REAL(wp) :: dwdx !: |
|---|
| 1420 | REAL(wp) :: dwdy !: |
|---|
| 1421 | REAL(wp) :: dwdz !: |
|---|
| 1422 | REAL(wp) :: k1 !: |
|---|
| 1423 | REAL(wp) :: k2 !: |
|---|
| 1424 | REAL(wp) :: km_neutral !: |
|---|
| 1425 | REAL(wp) :: theta !: |
|---|
| 1426 | REAL(wp) :: temp !: |
|---|
| 1427 | |
|---|
| 1428 | REAL(wp), DIMENSION(nzb:nzt+1) :: usvs !: |
|---|
| 1429 | REAL(wp), DIMENSION(nzb:nzt+1) :: vsus !: |
|---|
| 1430 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsus !: |
|---|
| 1431 | REAL(wp), DIMENSION(nzb:nzt+1) :: wsvs !: |
|---|
| 1432 | |
|---|
| 1433 | ! |
|---|
| 1434 | !-- Calculate TKE production by shear |
|---|
| 1435 | DO k = nzb_diff_s_outer(j,i), nzt |
|---|
| 1436 | |
|---|
| 1437 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1438 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1439 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1440 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1441 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1442 | |
|---|
| 1443 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1444 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1445 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1446 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1447 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1448 | |
|---|
| 1449 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1450 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1451 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1452 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1453 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1454 | |
|---|
| 1455 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 1456 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 1457 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1458 | |
|---|
| 1459 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1460 | |
|---|
| 1461 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1462 | |
|---|
| 1463 | ENDDO |
|---|
| 1464 | |
|---|
| 1465 | IF ( prandtl_layer ) THEN |
|---|
| 1466 | |
|---|
| 1467 | IF ( ( wall_e_x(j,i) /= 0.0_wp ) .OR. ( wall_e_y(j,i) /= 0.0_wp ) ) THEN |
|---|
| 1468 | |
|---|
| 1469 | ! |
|---|
| 1470 | !-- Position beneath wall |
|---|
| 1471 | !-- (2) - Will allways be executed. |
|---|
| 1472 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
|---|
| 1473 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1474 | |
|---|
| 1475 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1476 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1477 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1478 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1479 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1480 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1481 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1482 | |
|---|
| 1483 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
|---|
| 1484 | ! |
|---|
| 1485 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1486 | !-- is not taken into account for the evaluation of the |
|---|
| 1487 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1488 | !-- must not be used for the evaluation of the velocity |
|---|
| 1489 | !-- gradients dudy and dwdy |
|---|
| 1490 | !-- Note: The validity of the new method has not yet |
|---|
| 1491 | !-- been shown, as so far no suitable data for a |
|---|
| 1492 | !-- validation has been available |
|---|
| 1493 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1494 | usvs, 1.0_wp, 0.0_wp, 0.0_wp, 0.0_wp ) |
|---|
| 1495 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1496 | wsvs, 0.0_wp, 0.0_wp, 1.0_wp, 0.0_wp ) |
|---|
| 1497 | km_neutral = kappa * ( usvs(k)**2 + wsvs(k)**2 )**0.25_wp * & |
|---|
| 1498 | 0.5_wp * dy |
|---|
| 1499 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 1500 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 1501 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 1502 | ELSE |
|---|
| 1503 | dudy = 0.0_wp |
|---|
| 1504 | dwdy = 0.0_wp |
|---|
| 1505 | ENDIF |
|---|
| 1506 | ELSE |
|---|
| 1507 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1508 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1509 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1510 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1511 | ENDIF |
|---|
| 1512 | |
|---|
| 1513 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
|---|
| 1514 | ! |
|---|
| 1515 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1516 | !-- is not taken into account for the evaluation of the |
|---|
| 1517 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1518 | !-- must not be used for the evaluation of the velocity |
|---|
| 1519 | !-- gradients dvdx and dwdx |
|---|
| 1520 | !-- Note: The validity of the new method has not yet |
|---|
| 1521 | !-- been shown, as so far no suitable data for a |
|---|
| 1522 | !-- validation has been available |
|---|
| 1523 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1524 | vsus, 0.0_wp, 1.0_wp, 0.0_wp, 0.0_wp ) |
|---|
| 1525 | CALL wall_fluxes_e( i, j, k, nzb_diff_s_outer(j,i)-2, & |
|---|
| 1526 | wsus, 0.0_wp, 0.0_wp, 0.0_wp, 1.0_wp ) |
|---|
| 1527 | km_neutral = kappa * ( vsus(k)**2 + wsus(k)**2 )**0.25_wp * & |
|---|
| 1528 | 0.5_wp * dx |
|---|
| 1529 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 1530 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 1531 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 1532 | ELSE |
|---|
| 1533 | dvdx = 0.0_wp |
|---|
| 1534 | dwdx = 0.0_wp |
|---|
| 1535 | ENDIF |
|---|
| 1536 | ELSE |
|---|
| 1537 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1538 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1539 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1540 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1541 | ENDIF |
|---|
| 1542 | |
|---|
| 1543 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1544 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1545 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1546 | |
|---|
| 1547 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1548 | |
|---|
| 1549 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1550 | |
|---|
| 1551 | ! |
|---|
| 1552 | !-- (3) - will be executed only, if there is at least one level |
|---|
| 1553 | !-- between (2) and (4), i.e. the topography must have a |
|---|
| 1554 | !-- minimum height of 2 dz. Wall fluxes for this case have |
|---|
| 1555 | !-- already been calculated for (2). |
|---|
| 1556 | !-- 'wall only: use wall functions' |
|---|
| 1557 | DO k = nzb_diff_s_inner(j,i), nzb_diff_s_outer(j,i)-2 |
|---|
| 1558 | |
|---|
| 1559 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1560 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1561 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1562 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1563 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1564 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1565 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1566 | |
|---|
| 1567 | IF ( wall_e_y(j,i) /= 0.0_wp ) THEN |
|---|
| 1568 | ! |
|---|
| 1569 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1570 | !-- is not taken into account for the evaluation of the |
|---|
| 1571 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1572 | !-- must not be used for the evaluation of the velocity |
|---|
| 1573 | !-- gradients dudy and dwdy |
|---|
| 1574 | !-- Note: The validity of the new method has not yet |
|---|
| 1575 | !-- been shown, as so far no suitable data for a |
|---|
| 1576 | !-- validation has been available |
|---|
| 1577 | km_neutral = kappa * ( usvs(k)**2 + & |
|---|
| 1578 | wsvs(k)**2 )**0.25_wp * 0.5_wp * dy |
|---|
| 1579 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 1580 | dudy = - wall_e_y(j,i) * usvs(k) / km_neutral |
|---|
| 1581 | dwdy = - wall_e_y(j,i) * wsvs(k) / km_neutral |
|---|
| 1582 | ELSE |
|---|
| 1583 | dudy = 0.0_wp |
|---|
| 1584 | dwdy = 0.0_wp |
|---|
| 1585 | ENDIF |
|---|
| 1586 | ELSE |
|---|
| 1587 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1588 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1589 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1590 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1591 | ENDIF |
|---|
| 1592 | |
|---|
| 1593 | IF ( wall_e_x(j,i) /= 0.0_wp ) THEN |
|---|
| 1594 | ! |
|---|
| 1595 | !-- Inconsistency removed: as the thermal stratification |
|---|
| 1596 | !-- is not taken into account for the evaluation of the |
|---|
| 1597 | !-- wall fluxes at vertical walls, the eddy viscosity km |
|---|
| 1598 | !-- must not be used for the evaluation of the velocity |
|---|
| 1599 | !-- gradients dvdx and dwdx |
|---|
| 1600 | !-- Note: The validity of the new method has not yet |
|---|
| 1601 | !-- been shown, as so far no suitable data for a |
|---|
| 1602 | !-- validation has been available |
|---|
| 1603 | km_neutral = kappa * ( vsus(k)**2 + & |
|---|
| 1604 | wsus(k)**2 )**0.25_wp * 0.5_wp * dx |
|---|
| 1605 | IF ( km_neutral > 0.0_wp ) THEN |
|---|
| 1606 | dvdx = - wall_e_x(j,i) * vsus(k) / km_neutral |
|---|
| 1607 | dwdx = - wall_e_x(j,i) * wsus(k) / km_neutral |
|---|
| 1608 | ELSE |
|---|
| 1609 | dvdx = 0.0_wp |
|---|
| 1610 | dwdx = 0.0_wp |
|---|
| 1611 | ENDIF |
|---|
| 1612 | ELSE |
|---|
| 1613 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1614 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1615 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1616 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1617 | ENDIF |
|---|
| 1618 | |
|---|
| 1619 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1620 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1621 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1622 | |
|---|
| 1623 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1624 | |
|---|
| 1625 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1626 | |
|---|
| 1627 | ENDDO |
|---|
| 1628 | |
|---|
| 1629 | ! |
|---|
| 1630 | !-- (4) - will allways be executed. |
|---|
| 1631 | !-- 'special case: free atmosphere' (as for case (0)) |
|---|
| 1632 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 1633 | |
|---|
| 1634 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1635 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1636 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1637 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1638 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1639 | |
|---|
| 1640 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1641 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1642 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1643 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1644 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1645 | |
|---|
| 1646 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1647 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1648 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1649 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1650 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1651 | |
|---|
| 1652 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1653 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1654 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1655 | |
|---|
| 1656 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1657 | |
|---|
| 1658 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1659 | |
|---|
| 1660 | ELSE |
|---|
| 1661 | |
|---|
| 1662 | ! |
|---|
| 1663 | !-- Position without adjacent wall |
|---|
| 1664 | !-- (1) - will allways be executed. |
|---|
| 1665 | !-- 'bottom only: use u_0,v_0' |
|---|
| 1666 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1667 | |
|---|
| 1668 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1669 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1670 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1671 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1672 | u_0(j,i) - u_0(j,i+1) ) * dd2zu(k) |
|---|
| 1673 | |
|---|
| 1674 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1675 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1676 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1677 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1678 | v_0(j,i) - v_0(j+1,i) ) * dd2zu(k) |
|---|
| 1679 | |
|---|
| 1680 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1681 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1682 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1683 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1684 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1685 | |
|---|
| 1686 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) & |
|---|
| 1687 | + dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + dvdz**2 & |
|---|
| 1688 | + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1689 | |
|---|
| 1690 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1691 | |
|---|
| 1692 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1693 | |
|---|
| 1694 | ENDIF |
|---|
| 1695 | |
|---|
| 1696 | ELSEIF ( use_surface_fluxes ) THEN |
|---|
| 1697 | |
|---|
| 1698 | k = nzb_diff_s_outer(j,i)-1 |
|---|
| 1699 | |
|---|
| 1700 | dudx = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1701 | dudy = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1702 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1703 | dudz = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1704 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1705 | |
|---|
| 1706 | dvdx = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1707 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1708 | dvdy = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1709 | dvdz = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1710 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1711 | |
|---|
| 1712 | dwdx = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1713 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1714 | dwdy = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1715 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1716 | dwdz = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1717 | |
|---|
| 1718 | def = 2.0_wp * ( dudx**2 + dvdy**2 + dwdz**2 ) + & |
|---|
| 1719 | dudy**2 + dvdx**2 + dwdx**2 + dwdy**2 + dudz**2 + & |
|---|
| 1720 | dvdz**2 + 2.0_wp * ( dvdx*dudy + dwdx*dudz + dwdy*dvdz ) |
|---|
| 1721 | |
|---|
| 1722 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1723 | |
|---|
| 1724 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def |
|---|
| 1725 | |
|---|
| 1726 | ENDIF |
|---|
| 1727 | |
|---|
| 1728 | ! |
|---|
| 1729 | !-- If required, calculate TKE production by buoyancy |
|---|
| 1730 | IF ( .NOT. neutral ) THEN |
|---|
| 1731 | |
|---|
| 1732 | IF ( .NOT. humidity ) THEN |
|---|
| 1733 | |
|---|
| 1734 | IF ( use_single_reference_value ) THEN |
|---|
| 1735 | |
|---|
| 1736 | IF ( ocean ) THEN |
|---|
| 1737 | ! |
|---|
| 1738 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 1739 | !-- the bottom and top surface layer |
|---|
| 1740 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1741 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1742 | kh(k,j,i) * g / rho_reference * & |
|---|
| 1743 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 1744 | ENDDO |
|---|
| 1745 | |
|---|
| 1746 | ELSE |
|---|
| 1747 | |
|---|
| 1748 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1749 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1750 | kh(k,j,i) * g / pt_reference * & |
|---|
| 1751 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 1752 | ENDDO |
|---|
| 1753 | |
|---|
| 1754 | IF ( use_surface_fluxes ) THEN |
|---|
| 1755 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1756 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * shf(j,i) |
|---|
| 1757 | ENDIF |
|---|
| 1758 | |
|---|
| 1759 | IF ( use_top_fluxes ) THEN |
|---|
| 1760 | k = nzt |
|---|
| 1761 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * tswst(j,i) |
|---|
| 1762 | ENDIF |
|---|
| 1763 | |
|---|
| 1764 | ENDIF |
|---|
| 1765 | |
|---|
| 1766 | ELSE |
|---|
| 1767 | |
|---|
| 1768 | IF ( ocean ) THEN |
|---|
| 1769 | ! |
|---|
| 1770 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 1771 | !-- the bottom and top surface layer |
|---|
| 1772 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1773 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1774 | kh(k,j,i) * g / rho(k,j,i) * & |
|---|
| 1775 | ( rho(k+1,j,i) - rho(k-1,j,i) ) * dd2zu(k) |
|---|
| 1776 | ENDDO |
|---|
| 1777 | |
|---|
| 1778 | ELSE |
|---|
| 1779 | |
|---|
| 1780 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1781 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1782 | kh(k,j,i) * g / pt(k,j,i) * & |
|---|
| 1783 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) |
|---|
| 1784 | ENDDO |
|---|
| 1785 | |
|---|
| 1786 | IF ( use_surface_fluxes ) THEN |
|---|
| 1787 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1788 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * shf(j,i) |
|---|
| 1789 | ENDIF |
|---|
| 1790 | |
|---|
| 1791 | IF ( use_top_fluxes ) THEN |
|---|
| 1792 | k = nzt |
|---|
| 1793 | tend(k,j,i) = tend(k,j,i) + g / pt(k,j,i) * tswst(j,i) |
|---|
| 1794 | ENDIF |
|---|
| 1795 | |
|---|
| 1796 | ENDIF |
|---|
| 1797 | |
|---|
| 1798 | ENDIF |
|---|
| 1799 | |
|---|
| 1800 | ELSE |
|---|
| 1801 | |
|---|
| 1802 | DO k = nzb_diff_s_inner(j,i), nzt_diff |
|---|
| 1803 | |
|---|
| 1804 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1805 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1806 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1807 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1808 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1809 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1810 | ) * dd2zu(k) |
|---|
| 1811 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1812 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1813 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1814 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1815 | ELSE |
|---|
| 1816 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1817 | temp = theta * t_d_pt(k) |
|---|
| 1818 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1819 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1820 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1821 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1822 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1823 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1824 | ENDIF |
|---|
| 1825 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1826 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1827 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1828 | ) * dd2zu(k) |
|---|
| 1829 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1830 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1831 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1832 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
|---|
| 1833 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1834 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 1835 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 1836 | ql(k-1,j,i) ) ) * dd2zu(k) |
|---|
| 1837 | ENDIF |
|---|
| 1838 | ENDDO |
|---|
| 1839 | |
|---|
| 1840 | IF ( use_surface_fluxes ) THEN |
|---|
| 1841 | k = nzb_diff_s_inner(j,i)-1 |
|---|
| 1842 | |
|---|
| 1843 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1844 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1845 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1846 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1847 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1848 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1849 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1850 | ELSE |
|---|
| 1851 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1852 | temp = theta * t_d_pt(k) |
|---|
| 1853 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1854 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1855 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1856 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1857 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1858 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1859 | ENDIF |
|---|
| 1860 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1861 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1862 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1863 | ENDIF |
|---|
| 1864 | |
|---|
| 1865 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1866 | ( k1* shf(j,i) + k2 * qsws(j,i) ) |
|---|
| 1867 | ENDIF |
|---|
| 1868 | |
|---|
| 1869 | IF ( use_top_fluxes ) THEN |
|---|
| 1870 | k = nzt |
|---|
| 1871 | |
|---|
| 1872 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1873 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1874 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1875 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1876 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1877 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1878 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1879 | ELSE |
|---|
| 1880 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1881 | temp = theta * t_d_pt(k) |
|---|
| 1882 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1883 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1884 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1885 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1886 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1887 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1888 | ENDIF |
|---|
| 1889 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1890 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1891 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1892 | ENDIF |
|---|
| 1893 | |
|---|
| 1894 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
|---|
| 1895 | ( k1* tswst(j,i) + k2 * qswst(j,i) ) |
|---|
| 1896 | ENDIF |
|---|
| 1897 | |
|---|
| 1898 | ENDIF |
|---|
| 1899 | |
|---|
| 1900 | ENDIF |
|---|
| 1901 | |
|---|
| 1902 | END SUBROUTINE production_e_ij |
|---|
| 1903 | |
|---|
| 1904 | |
|---|
| 1905 | SUBROUTINE production_e_init |
|---|
| 1906 | |
|---|
| 1907 | USE arrays_3d, & |
|---|
| 1908 | ONLY: kh, km, u, us, usws, v, vsws, zu |
|---|
| 1909 | |
|---|
| 1910 | USE control_parameters, & |
|---|
| 1911 | ONLY: kappa, prandtl_layer |
|---|
| 1912 | |
|---|
| 1913 | USE indices, & |
|---|
| 1914 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
|---|
| 1915 | nzb_v_inner |
|---|
| 1916 | |
|---|
| 1917 | IMPLICIT NONE |
|---|
| 1918 | |
|---|
| 1919 | INTEGER(iwp) :: i !: |
|---|
| 1920 | INTEGER(iwp) :: j !: |
|---|
| 1921 | INTEGER(iwp) :: ku !: |
|---|
| 1922 | INTEGER(iwp) :: kv !: |
|---|
| 1923 | |
|---|
| 1924 | IF ( prandtl_layer ) THEN |
|---|
| 1925 | |
|---|
| 1926 | IF ( first_call ) THEN |
|---|
| 1927 | ALLOCATE( u_0(nysg:nyng,nxlg:nxrg), v_0(nysg:nyng,nxlg:nxrg) ) |
|---|
| 1928 | u_0 = 0.0_wp ! just to avoid access of uninitialized memory |
|---|
| 1929 | v_0 = 0.0_wp ! within exchange_horiz_2d |
|---|
| 1930 | first_call = .FALSE. |
|---|
| 1931 | ENDIF |
|---|
| 1932 | |
|---|
| 1933 | ! |
|---|
| 1934 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 1935 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 1936 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 1937 | !-- production term at k=1 (see production_e_ij). |
|---|
| 1938 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 1939 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 1940 | !-- surface winds). |
|---|
| 1941 | !-- Upper bounds are nxr+1 and nyn+1 because otherwise these values are |
|---|
| 1942 | !-- not available in case of non-cyclic boundary conditions. |
|---|
| 1943 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 1944 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 1945 | !$OMP PARALLEL DO PRIVATE( ku, kv ) |
|---|
| 1946 | DO i = nxl, nxr+1 |
|---|
| 1947 | DO j = nys, nyn+1 |
|---|
| 1948 | |
|---|
| 1949 | ku = nzb_u_inner(j,i)+1 |
|---|
| 1950 | kv = nzb_v_inner(j,i)+1 |
|---|
| 1951 | |
|---|
| 1952 | u_0(j,i) = u(ku+1,j,i) + usws(j,i) * ( zu(ku+1) - zu(ku-1) ) / & |
|---|
| 1953 | ( 0.5_wp * ( km(ku,j,i) + km(ku,j,i-1) ) + & |
|---|
| 1954 | 1.0E-20_wp ) |
|---|
| 1955 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1956 | v_0(j,i) = v(kv+1,j,i) + vsws(j,i) * ( zu(kv+1) - zu(kv-1) ) / & |
|---|
| 1957 | ( 0.5_wp * ( km(kv,j,i) + km(kv,j-1,i) ) + & |
|---|
| 1958 | 1.0E-20_wp ) |
|---|
| 1959 | ! ( us(j,i) * kappa * zu(1) ) |
|---|
| 1960 | |
|---|
| 1961 | IF ( ABS( u(ku+1,j,i) - u_0(j,i) ) > & |
|---|
| 1962 | ABS( u(ku+1,j,i) - u(ku-1,j,i) ) ) u_0(j,i) = u(ku-1,j,i) |
|---|
| 1963 | IF ( ABS( v(kv+1,j,i) - v_0(j,i) ) > & |
|---|
| 1964 | ABS( v(kv+1,j,i) - v(kv-1,j,i) ) ) v_0(j,i) = v(kv-1,j,i) |
|---|
| 1965 | |
|---|
| 1966 | ENDDO |
|---|
| 1967 | ENDDO |
|---|
| 1968 | |
|---|
| 1969 | CALL exchange_horiz_2d( u_0 ) |
|---|
| 1970 | CALL exchange_horiz_2d( v_0 ) |
|---|
| 1971 | |
|---|
| 1972 | ENDIF |
|---|
| 1973 | |
|---|
| 1974 | END SUBROUTINE production_e_init |
|---|
| 1975 | |
|---|
| 1976 | END MODULE production_e_mod |
|---|
