[1873] | 1 | !> @file production_e.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[1036] | 3 | ! This file is part of PALM. |
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| 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1036] | 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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[2101] | 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1036] | 19 | ! |
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[484] | 20 | ! Current revisions: |
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[1] | 21 | ! ----------------- |
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[2233] | 22 | ! |
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| 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_e.f90 2233 2017-05-30 18:08:54Z raasch $ |
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| 27 | ! |
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[2233] | 28 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 29 | ! Adjustments to new surface concept |
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| 30 | ! |
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[2127] | 31 | ! 2126 2017-01-20 15:54:21Z raasch |
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| 32 | ! density in ocean case replaced by potential density |
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| 33 | ! |
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[2119] | 34 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 35 | ! OpenACC version of subroutine removed |
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| 36 | ! |
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[2032] | 37 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 38 | ! renamed variable rho to rho_ocean |
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| 39 | ! |
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[2001] | 40 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 41 | ! Forced header and separation lines into 80 columns |
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| 42 | ! |
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[1874] | 43 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 44 | ! Module renamed (removed _mod) |
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| 45 | ! |
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| 46 | ! |
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[1851] | 47 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 48 | ! Module renamed |
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| 49 | ! |
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| 50 | ! |
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[1692] | 51 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 52 | ! Renamed prandtl_layer to constant_flux_layer. |
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| 53 | ! |
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[1683] | 54 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 55 | ! Code annotations made doxygen readable |
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| 56 | ! |
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[1375] | 57 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 58 | ! nzb_s_outer removed from acc-present-list |
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| 59 | ! |
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[1354] | 60 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 61 | ! REAL constants provided with KIND-attribute |
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| 62 | ! |
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[1343] | 63 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 64 | ! REAL constants defined as wp-kind |
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| 65 | ! |
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[1321] | 66 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 67 | ! ONLY-attribute added to USE-statements, |
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| 68 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 69 | ! kinds are defined in new module kinds, |
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| 70 | ! old module precision_kind is removed, |
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| 71 | ! revision history before 2012 removed, |
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| 72 | ! comment fields (!:) to be used for variable explanations added to |
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| 73 | ! all variable declaration statements |
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[110] | 74 | ! |
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[1258] | 75 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 76 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 77 | ! the FORTRAN declaration statement |
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| 78 | ! |
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[1182] | 79 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 80 | ! use_reference renamed use_single_reference_value |
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| 81 | ! |
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[1132] | 82 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 83 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 84 | ! j_north |
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| 85 | ! |
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[1037] | 86 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 87 | ! code put under GPL (PALM 3.9) |
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| 88 | ! |
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[1017] | 89 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 90 | ! accelerator version (*_acc) added |
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| 91 | ! |
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[1008] | 92 | ! 1007 2012-09-19 14:30:36Z franke |
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| 93 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 94 | ! mixing ratio in case of cloud droplets |
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| 95 | ! |
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[941] | 96 | ! 940 2012-07-09 14:31:00Z raasch |
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| 97 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 98 | ! neutral stratification |
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| 99 | ! |
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[1] | 100 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 101 | ! Initial revision |
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| 102 | ! |
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| 103 | ! |
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| 104 | ! Description: |
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| 105 | ! ------------ |
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[1682] | 106 | !> Production terms (shear + buoyancy) of the TKE. |
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[1691] | 107 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
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[1682] | 108 | !> not considered well! |
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[1] | 109 | !------------------------------------------------------------------------------! |
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[1682] | 110 | MODULE production_e_mod |
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[1] | 111 | |
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[1320] | 112 | USE kinds |
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| 113 | |
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[1] | 114 | PRIVATE |
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[2118] | 115 | PUBLIC production_e, production_e_init |
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[56] | 116 | |
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[1] | 117 | INTERFACE production_e |
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| 118 | MODULE PROCEDURE production_e |
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| 119 | MODULE PROCEDURE production_e_ij |
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| 120 | END INTERFACE production_e |
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| 121 | |
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| 122 | INTERFACE production_e_init |
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| 123 | MODULE PROCEDURE production_e_init |
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| 124 | END INTERFACE production_e_init |
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| 125 | |
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| 126 | CONTAINS |
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| 127 | |
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| 128 | |
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| 129 | !------------------------------------------------------------------------------! |
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[1682] | 130 | ! Description: |
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| 131 | ! ------------ |
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| 132 | !> Call for all grid points |
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[1] | 133 | !------------------------------------------------------------------------------! |
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| 134 | SUBROUTINE production_e |
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| 135 | |
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[1320] | 136 | USE arrays_3d, & |
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[2232] | 137 | ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, tend, u, v, vpt, w |
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[1] | 138 | |
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[1320] | 139 | USE cloud_parameters, & |
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| 140 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
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| 141 | |
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| 142 | USE control_parameters, & |
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[1691] | 143 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
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| 144 | humidity, kappa, neutral, ocean, pt_reference, & |
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| 145 | rho_reference, use_single_reference_value, & |
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| 146 | use_surface_fluxes, use_top_fluxes |
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[1320] | 147 | |
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| 148 | USE grid_variables, & |
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[2232] | 149 | ONLY: ddx, dx, ddy, dy |
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[1320] | 150 | |
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| 151 | USE indices, & |
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[2232] | 152 | ONLY: nxl, nxr, nys, nyn, nzb, nzt, wall_flags_0 |
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[1320] | 153 | |
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[2232] | 154 | USE surface_mod, & |
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| 155 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 156 | surf_usm_v |
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| 157 | |
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[1] | 158 | IMPLICIT NONE |
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| 159 | |
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[2232] | 160 | INTEGER(iwp) :: i !< running index x-direction |
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| 161 | INTEGER(iwp) :: j !< running index y-direction |
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| 162 | INTEGER(iwp) :: k !< running index z-direction |
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| 163 | INTEGER(iwp) :: l !< running index for different surface type orientation |
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| 164 | INTEGER(iwp) :: m !< running index surface elements |
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| 165 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
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| 166 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
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[1] | 167 | |
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[2232] | 168 | REAL(wp) :: def !< |
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| 169 | REAL(wp) :: flag !< flag to mask topography |
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[1682] | 170 | REAL(wp) :: k1 !< |
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| 171 | REAL(wp) :: k2 !< |
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[2232] | 172 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
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[1682] | 173 | REAL(wp) :: theta !< |
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| 174 | REAL(wp) :: temp !< |
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[2232] | 175 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
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| 176 | REAL(wp) :: usvs !< momentum flux u"v" |
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| 177 | REAL(wp) :: vsus !< momentum flux v"u" |
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| 178 | REAL(wp) :: wsus !< momentum flux w"u" |
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| 179 | REAL(wp) :: wsvs !< momentum flux w"v" |
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[1] | 180 | |
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[2232] | 181 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudx !< Gradient of u-component in x-direction |
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| 182 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudy !< Gradient of u-component in y-direction |
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| 183 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudz !< Gradient of u-component in z-direction |
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| 184 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdx !< Gradient of v-component in x-direction |
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| 185 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdy !< Gradient of v-component in y-direction |
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| 186 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdz !< Gradient of v-component in z-direction |
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| 187 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdx !< Gradient of w-component in x-direction |
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| 188 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdy !< Gradient of w-component in y-direction |
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| 189 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdz !< Gradient of w-component in z-direction |
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[1] | 190 | |
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[2232] | 191 | DO i = nxl, nxr |
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[53] | 192 | |
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[2232] | 193 | IF ( constant_flux_layer ) THEN |
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[940] | 194 | |
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| 195 | ! |
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[2232] | 196 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
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| 197 | !-- points first, gradients at surface-bounded grid points will be |
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| 198 | !-- overwritten further below. |
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| 199 | DO j = nys, nyn |
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| 200 | DO k = nzb+1, nzt |
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[1] | 201 | |
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[2232] | 202 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 203 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 204 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 205 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 206 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
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| 207 | dd2zu(k) |
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| 208 | |
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| 209 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 210 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 211 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 212 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 213 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
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| 214 | dd2zu(k) |
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[1] | 215 | |
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[2232] | 216 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 217 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 218 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 219 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 220 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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[1] | 221 | |
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[2232] | 222 | ENDDO |
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[1] | 223 | ENDDO |
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| 224 | |
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| 225 | ! |
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[55] | 226 | !-- Position beneath wall |
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| 227 | !-- (2) - Will allways be executed. |
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| 228 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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[1] | 229 | DO j = nys, nyn |
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[1007] | 230 | ! |
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[2232] | 231 | !-- Compute gradients at north- and south-facing surfaces. |
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| 232 | !-- First, for default surfaces, then for urban surfaces. |
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| 233 | !-- Note, so far no natural vertical surfaces implemented |
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| 234 | DO l = 0, 1 |
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| 235 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 236 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 237 | DO m = surf_s, surf_e |
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| 238 | k = surf_def_v(l)%k(m) |
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| 239 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
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| 240 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
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| 241 | |
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| 242 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 243 | * 0.5_wp * dy |
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[1007] | 244 | ! |
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[2232] | 245 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 246 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 247 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 248 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 249 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 250 | ENDDO |
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[1] | 251 | ! |
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[2232] | 252 | !-- Natural surfaces |
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| 253 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 254 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 255 | DO m = surf_s, surf_e |
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| 256 | k = surf_lsm_v(l)%k(m) |
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| 257 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
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| 258 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
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| 259 | |
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| 260 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 261 | * 0.5_wp * dy |
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| 262 | ! |
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| 263 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 264 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 265 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 266 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 267 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 268 | ENDDO |
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| 269 | ! |
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| 270 | !-- Urban surfaces |
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| 271 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 272 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 273 | DO m = surf_s, surf_e |
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| 274 | k = surf_usm_v(l)%k(m) |
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| 275 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
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| 276 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
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| 277 | |
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| 278 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 279 | * 0.5_wp * dy |
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| 280 | ! |
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| 281 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 282 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 283 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 284 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 285 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 286 | ENDDO |
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| 287 | ENDDO |
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| 288 | ! |
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| 289 | !-- Compute gradients at east- and west-facing walls |
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| 290 | DO l = 2, 3 |
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| 291 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 292 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 293 | DO m = surf_s, surf_e |
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| 294 | k = surf_def_v(l)%k(m) |
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| 295 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
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| 296 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
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[1] | 297 | |
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[2232] | 298 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 299 | * 0.5_wp * dx |
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[1007] | 300 | ! |
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[2232] | 301 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 302 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 303 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 304 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 305 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 306 | ENDDO |
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| 307 | ! |
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| 308 | !-- Natural surfaces |
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| 309 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 310 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 311 | DO m = surf_s, surf_e |
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| 312 | k = surf_lsm_v(l)%k(m) |
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| 313 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
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| 314 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
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[1] | 315 | |
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[2232] | 316 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 317 | * 0.5_wp * dx |
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[1007] | 318 | ! |
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[2232] | 319 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 320 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 321 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 322 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 323 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 324 | ENDDO |
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| 325 | ! |
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| 326 | !-- Urban surfaces |
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| 327 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 328 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 329 | DO m = surf_s, surf_e |
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| 330 | k = surf_usm_v(l)%k(m) |
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| 331 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
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| 332 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
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[1] | 333 | |
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[2232] | 334 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 335 | * 0.5_wp * dx |
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[1] | 336 | ! |
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[2232] | 337 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 338 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 339 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 340 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 341 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 342 | ENDDO |
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| 343 | ENDDO |
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| 344 | ! |
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| 345 | !-- Compute gradients at upward-facing surfaces |
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| 346 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 347 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 348 | DO m = surf_s, surf_e |
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| 349 | k = surf_def_h(0)%k(m) |
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| 350 | ! |
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| 351 | !-- Please note, actually, an interpolation of u_0 and v_0 |
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| 352 | !-- onto the grid center would be required. However, this |
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| 353 | !-- would require several data transfers between 2D-grid and |
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| 354 | !-- wall type. The effect of this missing interpolation is |
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| 355 | !-- negligible. (See also production_e_init). |
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| 356 | dudz(k,j) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
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| 357 | dvdz(k,j) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
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| 358 | |
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| 359 | ENDDO |
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| 360 | ! |
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| 361 | !-- Natural surfaces |
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| 362 | surf_s = surf_lsm_h%start_index(j,i) |
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| 363 | surf_e = surf_lsm_h%end_index(j,i) |
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| 364 | DO m = surf_s, surf_e |
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| 365 | k = surf_lsm_h%k(m) |
---|
| 366 | ! |
---|
| 367 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 368 | !-- onto the grid center would be required. However, this |
---|
| 369 | !-- would require several data transfers between 2D-grid and |
---|
| 370 | !-- wall type. The effect of this missing interpolation is |
---|
| 371 | !-- negligible. (See also production_e_init). |
---|
| 372 | dudz(k,j) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
---|
| 373 | dvdz(k,j) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
---|
| 374 | |
---|
| 375 | ENDDO |
---|
| 376 | ! |
---|
| 377 | !-- Urban surfaces |
---|
| 378 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 379 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 380 | DO m = surf_s, surf_e |
---|
| 381 | k = surf_usm_h%k(m) |
---|
| 382 | ! |
---|
| 383 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 384 | !-- onto the grid center would be required. However, this |
---|
| 385 | !-- would require several data transfers between 2D-grid and |
---|
| 386 | !-- wall type. The effect of this missing interpolation is |
---|
| 387 | !-- negligible. (See also production_e_init). |
---|
| 388 | dudz(k,j) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
---|
| 389 | dvdz(k,j) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
---|
| 390 | |
---|
| 391 | ENDDO |
---|
| 392 | ! |
---|
| 393 | !-- Compute gradients at downward-facing walls, only for |
---|
| 394 | !-- non-natural default surfaces |
---|
| 395 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 396 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
| 397 | DO m = surf_s, surf_e |
---|
| 398 | k = surf_def_h(1)%k(m) |
---|
| 399 | ! |
---|
| 400 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 401 | !-- onto the grid center would be required. However, this |
---|
| 402 | !-- would require several data transfers between 2D-grid and |
---|
| 403 | !-- wall type. The effect of this missing interpolation is |
---|
| 404 | !-- negligible. (See also production_e_init). |
---|
| 405 | dudz(k,j) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
---|
| 406 | dvdz(k,j) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
---|
[1] | 407 | |
---|
[2232] | 408 | ENDDO |
---|
[1] | 409 | |
---|
| 410 | ENDDO |
---|
| 411 | |
---|
| 412 | DO j = nys, nyn |
---|
[2232] | 413 | DO k = nzb+1, nzt |
---|
[1] | 414 | |
---|
[2232] | 415 | def = 2.0_wp * ( dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 ) + & |
---|
| 416 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
---|
| 417 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
---|
| 418 | 2.0_wp * ( dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
---|
| 419 | dwdy(k,j)*dvdz(k,j) ) |
---|
[1] | 420 | |
---|
[1342] | 421 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 422 | |
---|
[2232] | 423 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1007] | 424 | |
---|
[2232] | 425 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
[1] | 426 | |
---|
[2232] | 427 | ENDDO |
---|
[1] | 428 | ENDDO |
---|
| 429 | |
---|
[37] | 430 | ELSEIF ( use_surface_fluxes ) THEN |
---|
| 431 | |
---|
| 432 | DO j = nys, nyn |
---|
[2232] | 433 | ! |
---|
| 434 | !-- Calculate TKE production by shear. Here, no additional |
---|
| 435 | !-- wall-bounded code is considered. |
---|
| 436 | !-- Why? |
---|
| 437 | DO k = nzb+1, nzt |
---|
[37] | 438 | |
---|
[2232] | 439 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 440 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 441 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 442 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 443 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
---|
| 444 | dd2zu(k) |
---|
[37] | 445 | |
---|
[2232] | 446 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 447 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 448 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 449 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 450 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
---|
| 451 | dd2zu(k) |
---|
[37] | 452 | |
---|
[2232] | 453 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 454 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 455 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 456 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 457 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * & |
---|
| 458 | ddzw(k) |
---|
| 459 | |
---|
| 460 | def = 2.0_wp * ( & |
---|
| 461 | dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 & |
---|
| 462 | ) + & |
---|
| 463 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
---|
| 464 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
---|
| 465 | 2.0_wp * ( & |
---|
| 466 | dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
---|
| 467 | dwdy(k,j)*dvdz(k,j) & |
---|
| 468 | ) |
---|
[37] | 469 | |
---|
[2232] | 470 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[37] | 471 | |
---|
[2232] | 472 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 473 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
---|
| 474 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
| 475 | |
---|
| 476 | ENDDO |
---|
[37] | 477 | ENDDO |
---|
| 478 | |
---|
[1] | 479 | ENDIF |
---|
| 480 | |
---|
| 481 | ! |
---|
[940] | 482 | !-- If required, calculate TKE production by buoyancy |
---|
| 483 | IF ( .NOT. neutral ) THEN |
---|
[1] | 484 | |
---|
[940] | 485 | IF ( .NOT. humidity ) THEN |
---|
[1] | 486 | |
---|
[1179] | 487 | IF ( use_single_reference_value ) THEN |
---|
[940] | 488 | |
---|
| 489 | IF ( ocean ) THEN |
---|
[97] | 490 | ! |
---|
[940] | 491 | !-- So far in the ocean no special treatment of density flux |
---|
| 492 | !-- in the bottom and top surface layer |
---|
| 493 | DO j = nys, nyn |
---|
[2232] | 494 | DO k = nzb+1, nzt |
---|
[2126] | 495 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 496 | kh(k,j,i) * g / rho_reference * & |
---|
| 497 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
[2232] | 498 | dd2zu(k) * & |
---|
| 499 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 500 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
| 501 | ) |
---|
[940] | 502 | ENDDO |
---|
[97] | 503 | ENDDO |
---|
| 504 | |
---|
[940] | 505 | ELSE |
---|
[97] | 506 | |
---|
[940] | 507 | DO j = nys, nyn |
---|
[2232] | 508 | DO k = nzb+1, nzt |
---|
| 509 | ! |
---|
| 510 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
| 511 | !-- surface fluxes |
---|
| 512 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 513 | kh(k,j,i) * g / pt_reference * & |
---|
| 514 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 515 | dd2zu(k) * & |
---|
| 516 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 517 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 518 | ) * & |
---|
| 519 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 520 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 521 | ) |
---|
[940] | 522 | ENDDO |
---|
[97] | 523 | |
---|
[940] | 524 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 525 | ! |
---|
| 526 | !-- Default surfaces, up- and downward-facing |
---|
| 527 | DO l = 0, 1 |
---|
| 528 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 529 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 530 | DO m = surf_s, surf_e |
---|
| 531 | k = surf_def_h(l)%k(m) |
---|
| 532 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 533 | * surf_def_h(l)%shf(m) |
---|
| 534 | ENDDO |
---|
| 535 | ENDDO |
---|
| 536 | ! |
---|
| 537 | !-- Natural surfaces |
---|
| 538 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 539 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 540 | DO m = surf_s, surf_e |
---|
| 541 | k = surf_lsm_h%k(m) |
---|
| 542 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 543 | * surf_lsm_h%shf(m) |
---|
| 544 | ENDDO |
---|
| 545 | ! |
---|
| 546 | !-- Urban surfaces |
---|
| 547 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 548 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 549 | DO m = surf_s, surf_e |
---|
| 550 | k = surf_usm_h%k(m) |
---|
| 551 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 552 | * surf_usm_h%shf(m) |
---|
| 553 | ENDDO |
---|
[940] | 554 | ENDIF |
---|
[97] | 555 | |
---|
[940] | 556 | IF ( use_top_fluxes ) THEN |
---|
[2232] | 557 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 558 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 559 | DO m = surf_s, surf_e |
---|
| 560 | k = surf_def_h(2)%k(m) |
---|
| 561 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 562 | surf_def_h(2)%shf(m) |
---|
| 563 | ENDDO |
---|
[940] | 564 | ENDIF |
---|
| 565 | ENDDO |
---|
[57] | 566 | |
---|
[940] | 567 | ENDIF |
---|
[57] | 568 | |
---|
[940] | 569 | ELSE |
---|
[1] | 570 | |
---|
[940] | 571 | IF ( ocean ) THEN |
---|
[97] | 572 | ! |
---|
[940] | 573 | !-- So far in the ocean no special treatment of density flux |
---|
| 574 | !-- in the bottom and top surface layer |
---|
| 575 | DO j = nys, nyn |
---|
[2232] | 576 | DO k = nzb+1, nzt |
---|
[2126] | 577 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 578 | kh(k,j,i) * g / prho(k,j,i) * & |
---|
| 579 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
[2232] | 580 | dd2zu(k) * & |
---|
| 581 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 582 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
| 583 | ) |
---|
[940] | 584 | ENDDO |
---|
[97] | 585 | ENDDO |
---|
| 586 | |
---|
[940] | 587 | ELSE |
---|
[97] | 588 | |
---|
[940] | 589 | DO j = nys, nyn |
---|
[2232] | 590 | DO k = nzb+1, nzt |
---|
| 591 | ! |
---|
| 592 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
| 593 | !-- surface fluxes |
---|
| 594 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 595 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 596 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
---|
| 597 | dd2zu(k) * & |
---|
| 598 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 599 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 600 | ) * & |
---|
| 601 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 602 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 603 | ) |
---|
[940] | 604 | ENDDO |
---|
| 605 | |
---|
| 606 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 607 | ! |
---|
| 608 | !-- Default surfaces, up- and downwrd-facing |
---|
| 609 | DO l = 0, 1 |
---|
| 610 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 611 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 612 | DO m = surf_s, surf_e |
---|
| 613 | k = surf_def_h(l)%k(m) |
---|
| 614 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 615 | * surf_def_h(l)%shf(m) |
---|
| 616 | ENDDO |
---|
| 617 | ENDDO |
---|
| 618 | ! |
---|
| 619 | !-- Natural surfaces |
---|
| 620 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 621 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 622 | DO m = surf_s, surf_e |
---|
| 623 | k = surf_lsm_h%k(m) |
---|
| 624 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 625 | * surf_lsm_h%shf(m) |
---|
| 626 | ENDDO |
---|
| 627 | ! |
---|
| 628 | !-- Urban surfaces |
---|
| 629 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 630 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 631 | DO m = surf_s, surf_e |
---|
| 632 | k = surf_usm_h%k(m) |
---|
| 633 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 634 | * surf_usm_h%shf(m) |
---|
| 635 | ENDDO |
---|
[940] | 636 | ENDIF |
---|
| 637 | |
---|
| 638 | IF ( use_top_fluxes ) THEN |
---|
[2232] | 639 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 640 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 641 | DO m = surf_s, surf_e |
---|
| 642 | k = surf_def_h(2)%k(m) |
---|
| 643 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 644 | surf_def_h(2)%shf(m) |
---|
| 645 | ENDDO |
---|
[940] | 646 | ENDIF |
---|
[97] | 647 | ENDDO |
---|
| 648 | |
---|
[940] | 649 | ENDIF |
---|
[97] | 650 | |
---|
| 651 | ENDIF |
---|
[1] | 652 | |
---|
[940] | 653 | ELSE |
---|
[57] | 654 | |
---|
[940] | 655 | DO j = nys, nyn |
---|
[1] | 656 | |
---|
[2232] | 657 | DO k = nzb+1, nzt |
---|
| 658 | ! |
---|
| 659 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
| 660 | !-- surface fluxes |
---|
[1007] | 661 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 662 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 663 | k2 = 0.61_wp * pt(k,j,i) |
---|
[1007] | 664 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 665 | g / vpt(k,j,i) * & |
---|
| 666 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 667 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
[2232] | 668 | ) * dd2zu(k) * & |
---|
| 669 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 670 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 671 | ) * & |
---|
| 672 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 673 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 674 | ) |
---|
[1007] | 675 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 676 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 677 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 678 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 679 | ELSE |
---|
| 680 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 681 | temp = theta * t_d_pt(k) |
---|
[1342] | 682 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
[2232] | 683 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 684 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 685 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 686 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 687 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 688 | ENDIF |
---|
[1007] | 689 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
---|
| 690 | g / vpt(k,j,i) * & |
---|
[940] | 691 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 692 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
[2232] | 693 | ) * dd2zu(k) * & |
---|
| 694 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 695 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 696 | ) * & |
---|
| 697 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 698 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 699 | ) |
---|
[1007] | 700 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 701 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 702 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 703 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 704 | kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 705 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
---|
| 706 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 707 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 708 | ql(k-1,j,i) ) ) * dd2zu(k) * & |
---|
| 709 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 710 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 711 | ) * & |
---|
| 712 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 713 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 714 | ) |
---|
[1007] | 715 | ENDIF |
---|
| 716 | |
---|
[940] | 717 | ENDDO |
---|
| 718 | |
---|
[1] | 719 | ENDDO |
---|
| 720 | |
---|
[940] | 721 | IF ( use_surface_fluxes ) THEN |
---|
[1] | 722 | |
---|
[940] | 723 | DO j = nys, nyn |
---|
[2232] | 724 | ! |
---|
| 725 | !-- Treat horizontal default surfaces, up- and downward-facing |
---|
| 726 | DO l = 0, 1 |
---|
| 727 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 728 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 729 | DO m = surf_s, surf_e |
---|
| 730 | k = surf_def_h(l)%k(m) |
---|
[1] | 731 | |
---|
[2232] | 732 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
| 733 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 734 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 735 | ELSE IF ( cloud_physics ) THEN |
---|
| 736 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 737 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 738 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 739 | ELSE |
---|
| 740 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 741 | temp = theta * t_d_pt(k) |
---|
| 742 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 743 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 744 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 745 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 746 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 747 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 748 | ENDIF |
---|
| 749 | ELSE IF ( cloud_droplets ) THEN |
---|
| 750 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 751 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 752 | ENDIF |
---|
[1] | 753 | |
---|
[2232] | 754 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 755 | ( k1 * surf_def_h(l)%shf(m) + & |
---|
| 756 | k2 * surf_def_h(l)%qsws(m) ) |
---|
| 757 | ENDDO |
---|
| 758 | ENDDO |
---|
| 759 | ! |
---|
| 760 | !-- Treat horizontal natural surfaces |
---|
| 761 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 762 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 763 | DO m = surf_s, surf_e |
---|
| 764 | k = surf_lsm_h%k(m) |
---|
| 765 | |
---|
| 766 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 767 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 768 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 769 | ELSE IF ( cloud_physics ) THEN |
---|
| 770 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 771 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 772 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 773 | ELSE |
---|
| 774 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 775 | temp = theta * t_d_pt(k) |
---|
| 776 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 777 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 778 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 779 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 780 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 781 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 782 | ENDIF |
---|
| 783 | ELSE IF ( cloud_droplets ) THEN |
---|
| 784 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 785 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 786 | ENDIF |
---|
[1] | 787 | |
---|
[2232] | 788 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 789 | ( k1 * surf_lsm_h%shf(m) + & |
---|
| 790 | k2 * surf_lsm_h%qsws(m) ) |
---|
| 791 | ENDDO |
---|
| 792 | ! |
---|
| 793 | !-- Treat horizontal urban surfaces |
---|
| 794 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 795 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 796 | DO m = surf_s, surf_e |
---|
| 797 | k = surf_lsm_h%k(m) |
---|
| 798 | |
---|
| 799 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
| 800 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 801 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 802 | ELSE IF ( cloud_physics ) THEN |
---|
| 803 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 804 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 805 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 806 | ELSE |
---|
| 807 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 808 | temp = theta * t_d_pt(k) |
---|
| 809 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 810 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 811 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 812 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 813 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 814 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 815 | ENDIF |
---|
| 816 | ELSE IF ( cloud_droplets ) THEN |
---|
| 817 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 818 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 819 | ENDIF |
---|
| 820 | |
---|
| 821 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 822 | ( k1 * surf_usm_h%shf(m) + & |
---|
| 823 | k2 * surf_usm_h%qsws(m) ) |
---|
| 824 | ENDDO |
---|
| 825 | |
---|
[940] | 826 | ENDDO |
---|
[1] | 827 | |
---|
[940] | 828 | ENDIF |
---|
[1] | 829 | |
---|
[940] | 830 | IF ( use_top_fluxes ) THEN |
---|
[19] | 831 | |
---|
[940] | 832 | DO j = nys, nyn |
---|
[19] | 833 | |
---|
[2232] | 834 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 835 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 836 | DO m = surf_s, surf_e |
---|
| 837 | k = surf_def_h(2)%k(m) |
---|
[19] | 838 | |
---|
[2232] | 839 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 840 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 841 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 842 | ELSE IF ( cloud_physics ) THEN |
---|
| 843 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 844 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 845 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 846 | ELSE |
---|
| 847 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 848 | temp = theta * t_d_pt(k) |
---|
| 849 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
[1353] | 850 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 851 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 852 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 853 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[2232] | 854 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 855 | ENDIF |
---|
| 856 | ELSE IF ( cloud_droplets ) THEN |
---|
| 857 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 858 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 859 | ENDIF |
---|
[19] | 860 | |
---|
[2232] | 861 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 862 | ( k1 * surf_def_h(2)%shf(m) + & |
---|
| 863 | k2 * surf_def_h(2)%qsws(m) ) |
---|
| 864 | |
---|
| 865 | ENDDO |
---|
| 866 | |
---|
[940] | 867 | ENDDO |
---|
[19] | 868 | |
---|
[940] | 869 | ENDIF |
---|
| 870 | |
---|
[19] | 871 | ENDIF |
---|
| 872 | |
---|
[1] | 873 | ENDIF |
---|
| 874 | |
---|
| 875 | ENDDO |
---|
| 876 | |
---|
| 877 | END SUBROUTINE production_e |
---|
| 878 | |
---|
| 879 | |
---|
| 880 | !------------------------------------------------------------------------------! |
---|
[1682] | 881 | ! Description: |
---|
| 882 | ! ------------ |
---|
| 883 | !> Call for grid point i,j |
---|
[1] | 884 | !------------------------------------------------------------------------------! |
---|
| 885 | SUBROUTINE production_e_ij( i, j ) |
---|
| 886 | |
---|
[1320] | 887 | USE arrays_3d, & |
---|
[2232] | 888 | ONLY: ddzw, dd2zu, kh, km, prho, pt, q, ql, tend, u, v, vpt, w |
---|
[449] | 889 | |
---|
[1320] | 890 | USE cloud_parameters, & |
---|
| 891 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
---|
| 892 | |
---|
| 893 | USE control_parameters, & |
---|
[1691] | 894 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
---|
| 895 | humidity, kappa, neutral, ocean, pt_reference, & |
---|
| 896 | rho_reference, use_single_reference_value, & |
---|
| 897 | use_surface_fluxes, use_top_fluxes |
---|
[1320] | 898 | |
---|
| 899 | USE grid_variables, & |
---|
[2232] | 900 | ONLY: ddx, dx, ddy, dy |
---|
[1320] | 901 | |
---|
| 902 | USE indices, & |
---|
[2232] | 903 | ONLY: nxl, nxr, nys, nyn, nzb, nzb, nzt, wall_flags_0 |
---|
[1320] | 904 | |
---|
[2232] | 905 | USE surface_mod, & |
---|
| 906 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
---|
| 907 | surf_usm_v |
---|
| 908 | |
---|
[1] | 909 | IMPLICIT NONE |
---|
| 910 | |
---|
[2232] | 911 | INTEGER(iwp) :: i !< running index x-direction |
---|
| 912 | INTEGER(iwp) :: j !< running index y-direction |
---|
| 913 | INTEGER(iwp) :: k !< running index z-direction |
---|
| 914 | INTEGER(iwp) :: l !< running index for different surface type orientation |
---|
| 915 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 916 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
---|
| 917 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
---|
[1] | 918 | |
---|
[1682] | 919 | REAL(wp) :: def !< |
---|
[2232] | 920 | REAL(wp) :: flag !< flag to mask topography |
---|
[1682] | 921 | REAL(wp) :: k1 !< |
---|
| 922 | REAL(wp) :: k2 !< |
---|
[2232] | 923 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
---|
[1682] | 924 | REAL(wp) :: theta !< |
---|
| 925 | REAL(wp) :: temp !< |
---|
[2232] | 926 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
---|
| 927 | REAL(wp) :: usvs !< momentum flux u"v" |
---|
| 928 | REAL(wp) :: vsus !< momentum flux v"u" |
---|
| 929 | REAL(wp) :: wsus !< momentum flux w"u" |
---|
| 930 | REAL(wp) :: wsvs !< momentum flux w"v" |
---|
[1] | 931 | |
---|
[53] | 932 | |
---|
[2232] | 933 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudx !< Gradient of u-component in x-direction |
---|
| 934 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudy !< Gradient of u-component in y-direction |
---|
| 935 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudz !< Gradient of u-component in z-direction |
---|
| 936 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdx !< Gradient of v-component in x-direction |
---|
| 937 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdy !< Gradient of v-component in y-direction |
---|
| 938 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdz !< Gradient of v-component in z-direction |
---|
| 939 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdx !< Gradient of w-component in x-direction |
---|
| 940 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdy !< Gradient of w-component in y-direction |
---|
| 941 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdz !< Gradient of w-component in z-direction |
---|
[1] | 942 | |
---|
| 943 | |
---|
[2232] | 944 | IF ( constant_flux_layer ) THEN |
---|
| 945 | ! |
---|
| 946 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
---|
| 947 | !-- points first, gradients at surface-bounded grid points will be |
---|
| 948 | !-- overwritten further below. |
---|
| 949 | DO k = nzb+1, nzt |
---|
[1] | 950 | |
---|
[2232] | 951 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 952 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 953 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 954 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 955 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 956 | |
---|
[2232] | 957 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 958 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 959 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 960 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 961 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 962 | |
---|
[2232] | 963 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 964 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 965 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 966 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 967 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 968 | |
---|
[2232] | 969 | ENDDO |
---|
| 970 | ! |
---|
| 971 | !-- Compute gradients at north- and south-facing surfaces. |
---|
| 972 | !-- Note, no vertical natural surfaces so far. |
---|
| 973 | DO l = 0, 1 |
---|
| 974 | ! |
---|
| 975 | !-- Default surfaces |
---|
| 976 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
| 977 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
| 978 | DO m = surf_s, surf_e |
---|
| 979 | k = surf_def_v(l)%k(m) |
---|
| 980 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
---|
| 981 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
---|
[1007] | 982 | |
---|
[2232] | 983 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
| 984 | * 0.5_wp * dy |
---|
[1] | 985 | ! |
---|
[2232] | 986 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 987 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 988 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
| 989 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
| 990 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
| 991 | ENDDO |
---|
| 992 | ! |
---|
| 993 | !-- Natural surfaces |
---|
| 994 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
| 995 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
| 996 | DO m = surf_s, surf_e |
---|
| 997 | k = surf_lsm_v(l)%k(m) |
---|
| 998 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
| 999 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
[1] | 1000 | |
---|
[2232] | 1001 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
| 1002 | * 0.5_wp * dy |
---|
[1007] | 1003 | ! |
---|
[2232] | 1004 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 1005 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 1006 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
| 1007 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
| 1008 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
| 1009 | ENDDO |
---|
| 1010 | ! |
---|
| 1011 | !-- Urban surfaces |
---|
| 1012 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
| 1013 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
| 1014 | DO m = surf_s, surf_e |
---|
| 1015 | k = surf_usm_v(l)%k(m) |
---|
| 1016 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
| 1017 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
[1] | 1018 | |
---|
[2232] | 1019 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
---|
| 1020 | * 0.5_wp * dy |
---|
[1007] | 1021 | ! |
---|
[2232] | 1022 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 1023 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 1024 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
---|
| 1025 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
---|
| 1026 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
---|
| 1027 | ENDDO |
---|
| 1028 | ENDDO |
---|
| 1029 | ! |
---|
| 1030 | !-- Compute gradients at east- and west-facing walls |
---|
| 1031 | DO l = 2, 3 |
---|
| 1032 | ! |
---|
| 1033 | !-- Default surfaces |
---|
| 1034 | surf_s = surf_def_v(l)%start_index(j,i) |
---|
| 1035 | surf_e = surf_def_v(l)%end_index(j,i) |
---|
| 1036 | DO m = surf_s, surf_e |
---|
| 1037 | k = surf_def_v(l)%k(m) |
---|
| 1038 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
---|
| 1039 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
---|
[1] | 1040 | |
---|
[2232] | 1041 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
| 1042 | * 0.5_wp * dx |
---|
[1] | 1043 | ! |
---|
[2232] | 1044 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 1045 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 1046 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
| 1047 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
| 1048 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
| 1049 | ENDDO |
---|
| 1050 | ! |
---|
| 1051 | !-- Natural surfaces |
---|
| 1052 | surf_s = surf_lsm_v(l)%start_index(j,i) |
---|
| 1053 | surf_e = surf_lsm_v(l)%end_index(j,i) |
---|
| 1054 | DO m = surf_s, surf_e |
---|
| 1055 | k = surf_lsm_v(l)%k(m) |
---|
| 1056 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
---|
| 1057 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
---|
[1] | 1058 | |
---|
[2232] | 1059 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
| 1060 | * 0.5_wp * dx |
---|
[1007] | 1061 | ! |
---|
[2232] | 1062 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 1063 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 1064 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
| 1065 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
| 1066 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
| 1067 | ENDDO |
---|
| 1068 | ! |
---|
| 1069 | !-- Urban surfaces |
---|
| 1070 | surf_s = surf_usm_v(l)%start_index(j,i) |
---|
| 1071 | surf_e = surf_usm_v(l)%end_index(j,i) |
---|
| 1072 | DO m = surf_s, surf_e |
---|
| 1073 | k = surf_usm_v(l)%k(m) |
---|
| 1074 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
---|
| 1075 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
---|
[1] | 1076 | |
---|
[2232] | 1077 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
---|
| 1078 | * 0.5_wp * dx |
---|
[1007] | 1079 | ! |
---|
[2232] | 1080 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
---|
| 1081 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
---|
| 1082 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
---|
| 1083 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
---|
| 1084 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
---|
| 1085 | ENDDO |
---|
| 1086 | ENDDO |
---|
| 1087 | ! |
---|
| 1088 | !-- Compute gradients at upward-facing walls, first for |
---|
| 1089 | !-- non-natural default surfaces |
---|
| 1090 | surf_s = surf_def_h(0)%start_index(j,i) |
---|
| 1091 | surf_e = surf_def_h(0)%end_index(j,i) |
---|
| 1092 | DO m = surf_s, surf_e |
---|
| 1093 | k = surf_def_h(0)%k(m) |
---|
| 1094 | ! |
---|
| 1095 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 1096 | !-- onto the grid center would be required. However, this |
---|
| 1097 | !-- would require several data transfers between 2D-grid and |
---|
| 1098 | !-- wall type. The effect of this missing interpolation is |
---|
| 1099 | !-- negligible. (See also production_e_init). |
---|
| 1100 | dudz(k) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
---|
| 1101 | dvdz(k) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
---|
[1] | 1102 | |
---|
[2232] | 1103 | ENDDO |
---|
[1] | 1104 | ! |
---|
[2232] | 1105 | !-- Natural surfaces |
---|
| 1106 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 1107 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 1108 | DO m = surf_s, surf_e |
---|
| 1109 | k = surf_lsm_h%k(m) |
---|
| 1110 | ! |
---|
| 1111 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 1112 | !-- onto the grid center would be required. However, this |
---|
| 1113 | !-- would require several data transfers between 2D-grid and |
---|
| 1114 | !-- wall type. The effect of this missing interpolation is |
---|
| 1115 | !-- negligible. (See also production_e_init). |
---|
| 1116 | dudz(k) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
---|
| 1117 | dvdz(k) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
---|
| 1118 | ENDDO |
---|
| 1119 | ! |
---|
| 1120 | !-- Urban surfaces |
---|
| 1121 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 1122 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 1123 | DO m = surf_s, surf_e |
---|
| 1124 | k = surf_usm_h%k(m) |
---|
| 1125 | ! |
---|
| 1126 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 1127 | !-- onto the grid center would be required. However, this |
---|
| 1128 | !-- would require several data transfers between 2D-grid and |
---|
| 1129 | !-- wall type. The effect of this missing interpolation is |
---|
| 1130 | !-- negligible. (See also production_e_init). |
---|
| 1131 | dudz(k) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
---|
| 1132 | dvdz(k) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
---|
| 1133 | ENDDO |
---|
| 1134 | ! |
---|
| 1135 | !-- Compute gradients at downward-facing walls, only for |
---|
| 1136 | !-- non-natural default surfaces |
---|
| 1137 | surf_s = surf_def_h(1)%start_index(j,i) |
---|
| 1138 | surf_e = surf_def_h(1)%end_index(j,i) |
---|
| 1139 | DO m = surf_s, surf_e |
---|
| 1140 | k = surf_def_h(1)%k(m) |
---|
| 1141 | ! |
---|
| 1142 | !-- Please note, actually, an interpolation of u_0 and v_0 |
---|
| 1143 | !-- onto the grid center would be required. However, this |
---|
| 1144 | !-- would require several data transfers between 2D-grid and |
---|
| 1145 | !-- wall type. The effect of this missing interpolation is |
---|
| 1146 | !-- negligible. (See also production_e_init). |
---|
| 1147 | dudz(k) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
---|
| 1148 | dvdz(k) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
---|
[1] | 1149 | |
---|
[2232] | 1150 | ENDDO |
---|
[1] | 1151 | |
---|
[2232] | 1152 | DO k = nzb+1, nzt |
---|
[1] | 1153 | |
---|
[2232] | 1154 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
---|
| 1155 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
---|
| 1156 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
---|
| 1157 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
---|
[1] | 1158 | |
---|
[1342] | 1159 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1160 | |
---|
[2232] | 1161 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1] | 1162 | |
---|
[2232] | 1163 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
[1] | 1164 | |
---|
[2232] | 1165 | ENDDO |
---|
| 1166 | |
---|
| 1167 | ELSEIF ( use_surface_fluxes ) THEN |
---|
[1] | 1168 | ! |
---|
[2232] | 1169 | !-- Calculate TKE production by shear. Here, no additional |
---|
| 1170 | !-- wall-bounded code is considered. |
---|
| 1171 | !-- Why? |
---|
| 1172 | DO k = nzb+1, nzt |
---|
[1] | 1173 | |
---|
[2232] | 1174 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
---|
| 1175 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
---|
| 1176 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
---|
| 1177 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
---|
| 1178 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
---|
[1] | 1179 | |
---|
[2232] | 1180 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
---|
| 1181 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
---|
| 1182 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
---|
| 1183 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
---|
| 1184 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
---|
[1] | 1185 | |
---|
[2232] | 1186 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
---|
| 1187 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
---|
| 1188 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
---|
| 1189 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
---|
| 1190 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
---|
[1] | 1191 | |
---|
[2232] | 1192 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
---|
| 1193 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
---|
| 1194 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
---|
| 1195 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
---|
[1] | 1196 | |
---|
[1342] | 1197 | IF ( def < 0.0_wp ) def = 0.0_wp |
---|
[1] | 1198 | |
---|
[2232] | 1199 | flag = MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1200 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
---|
| 1201 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
---|
[1] | 1202 | |
---|
[2232] | 1203 | ENDDO |
---|
[1] | 1204 | |
---|
| 1205 | ENDIF |
---|
| 1206 | |
---|
| 1207 | ! |
---|
[940] | 1208 | !-- If required, calculate TKE production by buoyancy |
---|
| 1209 | IF ( .NOT. neutral ) THEN |
---|
[1] | 1210 | |
---|
[940] | 1211 | IF ( .NOT. humidity ) THEN |
---|
[19] | 1212 | |
---|
[1179] | 1213 | IF ( use_single_reference_value ) THEN |
---|
[940] | 1214 | |
---|
| 1215 | IF ( ocean ) THEN |
---|
[97] | 1216 | ! |
---|
[940] | 1217 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1218 | !-- the bottom and top surface layer |
---|
[2232] | 1219 | DO k = nzb+1, nzt |
---|
| 1220 | tend(k,j,i) = tend(k,j,i) + & |
---|
| 1221 | kh(k,j,i) * g / rho_reference * & |
---|
| 1222 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
| 1223 | dd2zu(k) * & |
---|
| 1224 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1225 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
| 1226 | ) |
---|
[940] | 1227 | ENDDO |
---|
[97] | 1228 | |
---|
[940] | 1229 | ELSE |
---|
[97] | 1230 | |
---|
[2232] | 1231 | DO k = nzb+1, nzt |
---|
| 1232 | ! |
---|
| 1233 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
| 1234 | !-- surface fluxes |
---|
| 1235 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1236 | kh(k,j,i) * g / pt_reference * & |
---|
| 1237 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) * & |
---|
| 1238 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1239 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 1240 | ) * & |
---|
| 1241 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1242 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 1243 | ) |
---|
| 1244 | |
---|
[940] | 1245 | ENDDO |
---|
[1] | 1246 | |
---|
[940] | 1247 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 1248 | ! |
---|
| 1249 | !-- Default surfaces, up- and downward-facing |
---|
| 1250 | DO l = 0, 1 |
---|
| 1251 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 1252 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 1253 | DO m = surf_s, surf_e |
---|
| 1254 | k = surf_def_h(l)%k(m) |
---|
| 1255 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 1256 | surf_def_h(l)%shf(m) |
---|
| 1257 | ENDDO |
---|
| 1258 | ENDDO |
---|
| 1259 | ! |
---|
| 1260 | !-- Natural surfaces |
---|
| 1261 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 1262 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 1263 | DO m = surf_s, surf_e |
---|
| 1264 | k = surf_lsm_h%k(m) |
---|
| 1265 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 1266 | surf_lsm_h%shf(m) |
---|
| 1267 | ENDDO |
---|
| 1268 | ! |
---|
| 1269 | !-- Urban surfaces |
---|
| 1270 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 1271 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 1272 | DO m = surf_s, surf_e |
---|
| 1273 | k = surf_usm_h%k(m) |
---|
| 1274 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 1275 | surf_usm_h%shf(m) |
---|
| 1276 | ENDDO |
---|
[940] | 1277 | ENDIF |
---|
[19] | 1278 | |
---|
[940] | 1279 | IF ( use_top_fluxes ) THEN |
---|
[2232] | 1280 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 1281 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 1282 | DO m = surf_s, surf_e |
---|
| 1283 | k = surf_def_h(2)%k(m) |
---|
| 1284 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 1285 | surf_def_h(2)%shf(m) |
---|
| 1286 | ENDDO |
---|
[940] | 1287 | ENDIF |
---|
| 1288 | |
---|
[97] | 1289 | ENDIF |
---|
| 1290 | |
---|
[940] | 1291 | ELSE |
---|
[57] | 1292 | |
---|
[940] | 1293 | IF ( ocean ) THEN |
---|
[97] | 1294 | ! |
---|
[940] | 1295 | !-- So far in the ocean no special treatment of density flux in |
---|
| 1296 | !-- the bottom and top surface layer |
---|
[2232] | 1297 | DO k = nzb+1, nzt |
---|
[2126] | 1298 | tend(k,j,i) = tend(k,j,i) + & |
---|
[2232] | 1299 | kh(k,j,i) * g / prho(k,j,i) * & |
---|
| 1300 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
---|
| 1301 | dd2zu(k) * & |
---|
| 1302 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1303 | BTEST( wall_flags_0(k,j,i), 0 ) & |
---|
| 1304 | ) |
---|
[940] | 1305 | ENDDO |
---|
[97] | 1306 | |
---|
[940] | 1307 | ELSE |
---|
[97] | 1308 | |
---|
[2232] | 1309 | DO k = nzb+1, nzt |
---|
| 1310 | ! |
---|
| 1311 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
---|
| 1312 | !-- surface fluxes |
---|
| 1313 | tend(k,j,i) = tend(k,j,i) - & |
---|
| 1314 | kh(k,j,i) * g / pt(k,j,i) * & |
---|
| 1315 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) * & |
---|
| 1316 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1317 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 1318 | ) * & |
---|
| 1319 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1320 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 1321 | ) |
---|
[940] | 1322 | ENDDO |
---|
[57] | 1323 | |
---|
[940] | 1324 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 1325 | ! |
---|
| 1326 | !-- Default surfaces, up- and downward-facing |
---|
| 1327 | DO l = 0, 1 |
---|
| 1328 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 1329 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 1330 | DO m = surf_s, surf_e |
---|
| 1331 | k = surf_def_h(l)%k(m) |
---|
| 1332 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 1333 | * surf_def_h(l)%shf(m) |
---|
| 1334 | ENDDO |
---|
| 1335 | ENDDO |
---|
| 1336 | ! |
---|
| 1337 | !-- Natural surfaces |
---|
| 1338 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 1339 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 1340 | DO m = surf_s, surf_e |
---|
| 1341 | k = surf_lsm_h%k(m) |
---|
| 1342 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 1343 | * surf_lsm_h%shf(m) |
---|
| 1344 | ENDDO |
---|
| 1345 | ! |
---|
| 1346 | !-- Urban surfaces |
---|
| 1347 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 1348 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 1349 | DO m = surf_s, surf_e |
---|
| 1350 | k = surf_usm_h%k(m) |
---|
| 1351 | tend(k,j,i) = tend(k,j,i) + g / pt_reference & |
---|
| 1352 | * surf_usm_h%shf(m) |
---|
| 1353 | ENDDO |
---|
[940] | 1354 | ENDIF |
---|
[57] | 1355 | |
---|
[940] | 1356 | IF ( use_top_fluxes ) THEN |
---|
[2232] | 1357 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 1358 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 1359 | DO m = surf_s, surf_e |
---|
| 1360 | k = surf_def_h(2)%k(m) |
---|
| 1361 | tend(k,j,i) = tend(k,j,i) + g / pt_reference * & |
---|
| 1362 | surf_def_h(2)%shf(m) |
---|
| 1363 | ENDDO |
---|
[940] | 1364 | ENDIF |
---|
| 1365 | |
---|
[97] | 1366 | ENDIF |
---|
| 1367 | |
---|
[57] | 1368 | ENDIF |
---|
| 1369 | |
---|
[940] | 1370 | ELSE |
---|
[57] | 1371 | |
---|
[2232] | 1372 | DO k = nzb+1, nzt |
---|
| 1373 | ! |
---|
| 1374 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask surface fluxes |
---|
[1007] | 1375 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1376 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1377 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 1378 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1379 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1380 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1381 | ) * dd2zu(k) * & |
---|
| 1382 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1383 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 1384 | ) * & |
---|
| 1385 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1386 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 1387 | ) |
---|
| 1388 | |
---|
[1007] | 1389 | ELSE IF ( cloud_physics ) THEN |
---|
[1342] | 1390 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1391 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1392 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1393 | ELSE |
---|
| 1394 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1395 | temp = theta * t_d_pt(k) |
---|
[2232] | 1396 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1397 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1398 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1399 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1400 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[1342] | 1401 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
[940] | 1402 | ENDIF |
---|
[2232] | 1403 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1404 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1405 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
---|
| 1406 | ) * dd2zu(k) * & |
---|
| 1407 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1408 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 1409 | ) * & |
---|
| 1410 | MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1411 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 1412 | ) |
---|
[1007] | 1413 | ELSE IF ( cloud_droplets ) THEN |
---|
[1342] | 1414 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1415 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 1416 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / vpt(k,j,i) * & |
---|
| 1417 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
---|
| 1418 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
---|
| 1419 | pt(k,j,i) * ( ql(k+1,j,i) - & |
---|
| 1420 | ql(k-1,j,i) ) ) * dd2zu(k)& |
---|
| 1421 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1422 | BTEST( wall_flags_0(k,j,i), 30 ) & |
---|
| 1423 | ) & |
---|
| 1424 | * MERGE( 1.0_wp, 0.0_wp, & |
---|
| 1425 | BTEST( wall_flags_0(k,j,i), 9 ) & |
---|
| 1426 | ) |
---|
[1007] | 1427 | ENDIF |
---|
[940] | 1428 | ENDDO |
---|
[19] | 1429 | |
---|
[940] | 1430 | IF ( use_surface_fluxes ) THEN |
---|
[2232] | 1431 | ! |
---|
| 1432 | !-- Treat horizontal default surfaces, up- and downward-facing |
---|
| 1433 | DO l = 0, 1 |
---|
| 1434 | surf_s = surf_def_h(l)%start_index(j,i) |
---|
| 1435 | surf_e = surf_def_h(l)%end_index(j,i) |
---|
| 1436 | DO m = surf_s, surf_e |
---|
| 1437 | k = surf_def_h(l)%k(m) |
---|
[1] | 1438 | |
---|
[2232] | 1439 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
| 1440 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1441 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1442 | ELSE IF ( cloud_physics ) THEN |
---|
| 1443 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1444 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1445 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1446 | ELSE |
---|
| 1447 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1448 | temp = theta * t_d_pt(k) |
---|
| 1449 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1450 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1451 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1452 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 1453 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 1454 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 1455 | ENDIF |
---|
| 1456 | ELSE IF ( cloud_droplets ) THEN |
---|
| 1457 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1458 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1459 | ENDIF |
---|
| 1460 | |
---|
| 1461 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1462 | ( k1 * surf_def_h(l)%shf(m) + & |
---|
| 1463 | k2 * surf_def_h(l)%qsws(m) ) |
---|
| 1464 | ENDDO |
---|
| 1465 | ENDDO |
---|
| 1466 | ! |
---|
| 1467 | !-- Treat horizontal natural surfaces |
---|
| 1468 | surf_s = surf_lsm_h%start_index(j,i) |
---|
| 1469 | surf_e = surf_lsm_h%end_index(j,i) |
---|
| 1470 | DO m = surf_s, surf_e |
---|
| 1471 | k = surf_lsm_h%k(m) |
---|
| 1472 | |
---|
| 1473 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
| 1474 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1475 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1476 | ELSE IF ( cloud_physics ) THEN |
---|
| 1477 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1478 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1479 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1480 | ELSE |
---|
| 1481 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1482 | temp = theta * t_d_pt(k) |
---|
| 1483 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1484 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1485 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1486 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 1487 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 1488 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 1489 | ENDIF |
---|
| 1490 | ELSE IF ( cloud_droplets ) THEN |
---|
| 1491 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
[1342] | 1492 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1493 | ENDIF |
---|
| 1494 | |
---|
[2232] | 1495 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1496 | ( k1 * surf_lsm_h%shf(m) + & |
---|
| 1497 | k2 * surf_lsm_h%qsws(m) ) |
---|
| 1498 | ENDDO |
---|
| 1499 | ! |
---|
| 1500 | !-- Treat horizontal urban surfaces |
---|
| 1501 | surf_s = surf_usm_h%start_index(j,i) |
---|
| 1502 | surf_e = surf_usm_h%end_index(j,i) |
---|
| 1503 | DO m = surf_s, surf_e |
---|
| 1504 | k = surf_usm_h%k(m) |
---|
| 1505 | |
---|
| 1506 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
| 1507 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1508 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1509 | ELSE IF ( cloud_physics ) THEN |
---|
| 1510 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1511 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1512 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1513 | ELSE |
---|
| 1514 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1515 | temp = theta * t_d_pt(k) |
---|
| 1516 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1517 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1518 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1519 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
| 1520 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
| 1521 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 1522 | ENDIF |
---|
| 1523 | ELSE IF ( cloud_droplets ) THEN |
---|
| 1524 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1525 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1526 | ENDIF |
---|
| 1527 | |
---|
| 1528 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1529 | ( k1 * surf_usm_h%shf(m) + & |
---|
| 1530 | k2 * surf_usm_h%qsws(m) ) |
---|
| 1531 | ENDDO |
---|
| 1532 | |
---|
[1] | 1533 | ENDIF |
---|
| 1534 | |
---|
[940] | 1535 | IF ( use_top_fluxes ) THEN |
---|
[2232] | 1536 | surf_s = surf_def_h(2)%start_index(j,i) |
---|
| 1537 | surf_e = surf_def_h(2)%end_index(j,i) |
---|
| 1538 | DO m = surf_s, surf_e |
---|
| 1539 | k = surf_def_h(2)%k(m) |
---|
[1] | 1540 | |
---|
[2232] | 1541 | |
---|
| 1542 | |
---|
| 1543 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
---|
[1342] | 1544 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1545 | k2 = 0.61_wp * pt(k,j,i) |
---|
[2232] | 1546 | ELSE IF ( cloud_physics ) THEN |
---|
| 1547 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
---|
| 1548 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
---|
| 1549 | k2 = 0.61_wp * pt(k,j,i) |
---|
| 1550 | ELSE |
---|
| 1551 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
---|
| 1552 | temp = theta * t_d_pt(k) |
---|
| 1553 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
---|
| 1554 | ( q(k,j,i) - ql(k,j,i) ) * & |
---|
| 1555 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
---|
| 1556 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
---|
[940] | 1557 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
---|
[2232] | 1558 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
---|
| 1559 | ENDIF |
---|
| 1560 | ELSE IF ( cloud_droplets ) THEN |
---|
| 1561 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
---|
| 1562 | k2 = 0.61_wp * pt(k,j,i) |
---|
[940] | 1563 | ENDIF |
---|
| 1564 | |
---|
[2232] | 1565 | tend(k,j,i) = tend(k,j,i) + g / vpt(k,j,i) * & |
---|
| 1566 | ( k1* surf_def_h(2)%shf(m) + & |
---|
| 1567 | k2 * surf_def_h(2)%qsws(m) ) |
---|
| 1568 | ENDDO |
---|
| 1569 | |
---|
[19] | 1570 | ENDIF |
---|
| 1571 | |
---|
| 1572 | ENDIF |
---|
| 1573 | |
---|
[1] | 1574 | ENDIF |
---|
| 1575 | |
---|
| 1576 | END SUBROUTINE production_e_ij |
---|
| 1577 | |
---|
| 1578 | |
---|
[1682] | 1579 | !------------------------------------------------------------------------------! |
---|
| 1580 | ! Description: |
---|
| 1581 | ! ------------ |
---|
| 1582 | !> @todo Missing subroutine description. |
---|
| 1583 | !------------------------------------------------------------------------------! |
---|
[1] | 1584 | SUBROUTINE production_e_init |
---|
| 1585 | |
---|
[1320] | 1586 | USE arrays_3d, & |
---|
[2232] | 1587 | ONLY: kh, km, u, v, zu |
---|
[1] | 1588 | |
---|
[1320] | 1589 | USE control_parameters, & |
---|
[1691] | 1590 | ONLY: constant_flux_layer, kappa |
---|
[1320] | 1591 | |
---|
| 1592 | USE indices, & |
---|
| 1593 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
---|
| 1594 | nzb_v_inner |
---|
| 1595 | |
---|
[2232] | 1596 | USE surface_mod, & |
---|
| 1597 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_usm_h |
---|
| 1598 | |
---|
[1] | 1599 | IMPLICIT NONE |
---|
| 1600 | |
---|
[2232] | 1601 | INTEGER(iwp) :: i !< grid index x-direction |
---|
| 1602 | INTEGER(iwp) :: j !< grid index y-direction |
---|
| 1603 | INTEGER(iwp) :: k !< grid index z-direction |
---|
| 1604 | INTEGER(iwp) :: l !< running index surface type (up- or downward-facing) |
---|
| 1605 | INTEGER(iwp) :: m !< running index surface elements |
---|
[1] | 1606 | |
---|
[1691] | 1607 | IF ( constant_flux_layer ) THEN |
---|
[1] | 1608 | ! |
---|
| 1609 | !-- Calculate a virtual velocity at the surface in a way that the |
---|
| 1610 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
---|
| 1611 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
---|
| 1612 | !-- production term at k=1 (see production_e_ij). |
---|
| 1613 | !-- The velocity gradient has to be limited in case of too small km |
---|
| 1614 | !-- (otherwise the timestep may be significantly reduced by large |
---|
| 1615 | !-- surface winds). |
---|
[106] | 1616 | !-- not available in case of non-cyclic boundary conditions. |
---|
[1] | 1617 | !-- WARNING: the exact analytical solution would require the determination |
---|
| 1618 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
---|
[2232] | 1619 | !-- Default surfaces, upward-facing |
---|
| 1620 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
| 1621 | DO m = 1, surf_def_h(0)%ns |
---|
[1] | 1622 | |
---|
[2232] | 1623 | i = surf_def_h(0)%i(m) |
---|
| 1624 | j = surf_def_h(0)%j(m) |
---|
| 1625 | k = surf_def_h(0)%k(m) |
---|
| 1626 | ! |
---|
| 1627 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
| 1628 | !-- and km are not on the same grid. Actually, a further |
---|
| 1629 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
| 1630 | !-- effect of this error is negligible. |
---|
| 1631 | surf_def_h(0)%u_0(m) = u(k+1,j,i) + surf_def_h(0)%usws(m) * & |
---|
| 1632 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1633 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
| 1634 | surf_def_h(0)%v_0(m) = v(k+1,j,i) + surf_def_h(0)%vsws(m) * & |
---|
| 1635 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1636 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
[1] | 1637 | |
---|
[2232] | 1638 | IF ( ABS( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) > & |
---|
| 1639 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
| 1640 | ) surf_def_h(0)%u_0(m) = u(k-1,j,i) |
---|
[1] | 1641 | |
---|
[2232] | 1642 | IF ( ABS( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) > & |
---|
| 1643 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
| 1644 | ) surf_def_h(0)%v_0(m) = v(k-1,j,i) |
---|
[1] | 1645 | |
---|
| 1646 | ENDDO |
---|
[2232] | 1647 | ! |
---|
| 1648 | !-- Default surfaces, downward-facing |
---|
| 1649 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
| 1650 | DO m = 1, surf_def_h(1)%ns |
---|
[1] | 1651 | |
---|
[2232] | 1652 | i = surf_def_h(1)%i(m) |
---|
| 1653 | j = surf_def_h(1)%j(m) |
---|
| 1654 | k = surf_def_h(1)%k(m) |
---|
| 1655 | ! |
---|
| 1656 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
| 1657 | !-- and km are not on the same grid. Actually, a further |
---|
| 1658 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
| 1659 | !-- effect of this error is negligible. |
---|
| 1660 | !-- In case of downward-facing surfaces, gradient is calculated |
---|
| 1661 | !-- between u_0 and u(k-1). |
---|
| 1662 | surf_def_h(1)%u_0(m) = u(k-1,j,i) - surf_def_h(1)%usws(m) * & |
---|
| 1663 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1664 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
| 1665 | surf_def_h(1)%v_0(m) = v(k-1,j,i) - surf_def_h(1)%vsws(m) * & |
---|
| 1666 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1667 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
[1] | 1668 | |
---|
[2232] | 1669 | IF ( ABS( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) > & |
---|
| 1670 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
| 1671 | ) surf_def_h(1)%u_0(m) = u(k+1,j,i) |
---|
| 1672 | |
---|
| 1673 | IF ( ABS( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) > & |
---|
| 1674 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
| 1675 | ) surf_def_h(1)%v_0(m) = v(k+1,j,i) |
---|
| 1676 | |
---|
| 1677 | ENDDO |
---|
| 1678 | ! |
---|
| 1679 | !-- Natural surfaces, upward-facing |
---|
| 1680 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
| 1681 | DO m = 1, surf_lsm_h%ns |
---|
| 1682 | |
---|
| 1683 | i = surf_lsm_h%i(m) |
---|
| 1684 | j = surf_lsm_h%j(m) |
---|
| 1685 | k = surf_lsm_h%k(m) |
---|
| 1686 | ! |
---|
| 1687 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
---|
| 1688 | !-- and km are not on the same grid. Actually, a further |
---|
| 1689 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
---|
| 1690 | !-- effect of this error is negligible. |
---|
| 1691 | surf_lsm_h%u_0(m) = u(k+1,j,i) + surf_lsm_h%usws(m) * & |
---|
| 1692 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1693 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
| 1694 | surf_lsm_h%v_0(m) = v(k+1,j,i) + surf_lsm_h%vsws(m) * & |
---|
| 1695 | ( zu(k+1) - zu(k-1) ) / & |
---|
| 1696 | ( km(k,j,i) + 1.0E-20_wp ) |
---|
| 1697 | |
---|
| 1698 | IF ( ABS( u(k+1,j,i) - surf_lsm_h%u_0(m) ) > & |
---|
| 1699 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
---|
| 1700 | ) surf_lsm_h%u_0(m) = u(k-1,j,i) |
---|
| 1701 | |
---|
| 1702 | IF ( ABS( v(k+1,j,i) - surf_lsm_h%v_0(m) ) > & |
---|
| 1703 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
---|
| 1704 | ) surf_lsm_h%v_0(m) = v(k-1,j,i) |
---|
| 1705 | |
---|
| 1706 | ENDDO |
---|
| 1707 | ! |
---|
| 1708 | !-- Urban surfaces, upward-facing |
---|
| 1709 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
---|
| 1710 | DO m = 1, surf_usm_h%ns |
---|
| 1711 | |
---|
| 1712 | i = surf_usm_h%i(m) |
---|
| 1713 | j = surf_usm_h%j(m) |
---|
| 1714 | k = surf_usm_h%k(m) |
---|
| 1715 | ! |
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| 1716 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
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| 1717 | !-- and km are not on the same grid. Actually, a further |
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| 1718 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
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| 1719 | !-- effect of this error is negligible. |
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| 1720 | surf_usm_h%u_0(m) = u(k+1,j,i) + surf_usm_h%usws(m) * & |
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| 1721 | ( zu(k+1) - zu(k-1) ) / & |
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| 1722 | ( km(k,j,i) + 1.0E-20_wp ) |
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| 1723 | surf_usm_h%v_0(m) = v(k+1,j,i) + surf_usm_h%vsws(m) * & |
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| 1724 | ( zu(k+1) - zu(k-1) ) / & |
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| 1725 | ( km(k,j,i) + 1.0E-20_wp ) |
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| 1726 | |
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| 1727 | IF ( ABS( u(k+1,j,i) - surf_usm_h%u_0(m) ) > & |
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| 1728 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
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| 1729 | ) surf_usm_h%u_0(m) = u(k-1,j,i) |
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| 1730 | |
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| 1731 | IF ( ABS( v(k+1,j,i) - surf_usm_h%v_0(m) ) > & |
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| 1732 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
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| 1733 | ) surf_usm_h%v_0(m) = v(k-1,j,i) |
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| 1734 | |
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| 1735 | ENDDO |
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| 1736 | |
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[1] | 1737 | ENDIF |
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| 1738 | |
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| 1739 | END SUBROUTINE production_e_init |
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| 1740 | |
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| 1741 | END MODULE production_e_mod |
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