| 1 | !> @file production_e.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 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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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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| 18 | !------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ----------------- |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: production_e.f90 2508 2017-10-02 08:57:09Z Giersch $ |
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| 27 | ! - Bugfix in buoyancy production term, wrong base state was set. |
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| 28 | ! - Consider use_single_reference_value case if humidity is used. |
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| 29 | ! - In case of use_top_fluxes, use correct inverse density at model top |
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| 30 | ! - Consider use_surface_fluxes and use_top_fluxes in ocean case |
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| 31 | ! |
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| 32 | ! 2478 2017-09-18 13:37:24Z suehring |
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| 33 | ! Bugfix, consider case where no constant-flux layer and no surfaces fluxes |
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| 34 | ! are used |
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| 35 | ! |
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| 36 | ! 2329 2017-08-03 14:24:56Z knoop |
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| 37 | ! Bugfix: added division by density as kinematic fluxes are needed |
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| 38 | ! |
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| 39 | ! 2233 2017-05-30 18:08:54Z suehring |
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| 40 | ! |
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| 41 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 42 | ! Adjustments to new surface concept |
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| 43 | ! |
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| 44 | ! 2126 2017-01-20 15:54:21Z raasch |
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| 45 | ! density in ocean case replaced by potential density |
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| 46 | ! |
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| 47 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 48 | ! OpenACC version of subroutine removed |
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| 49 | ! |
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| 50 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 51 | ! renamed variable rho to rho_ocean |
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| 52 | ! |
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| 53 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 54 | ! Forced header and separation lines into 80 columns |
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| 55 | ! |
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| 56 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 57 | ! Module renamed (removed _mod) |
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| 58 | ! |
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| 59 | ! |
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| 60 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 61 | ! Module renamed |
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| 62 | ! |
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| 63 | ! |
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| 64 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 65 | ! Renamed prandtl_layer to constant_flux_layer. |
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| 66 | ! |
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| 67 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 68 | ! Code annotations made doxygen readable |
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| 69 | ! |
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| 70 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 71 | ! nzb_s_outer removed from acc-present-list |
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| 72 | ! |
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| 73 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 74 | ! REAL constants provided with KIND-attribute |
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| 75 | ! |
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| 76 | ! 1342 2014-03-26 17:04:47Z kanani |
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| 77 | ! REAL constants defined as wp-kind |
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| 78 | ! |
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| 79 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 80 | ! ONLY-attribute added to USE-statements, |
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| 81 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 82 | ! kinds are defined in new module kinds, |
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| 83 | ! old module precision_kind is removed, |
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| 84 | ! revision history before 2012 removed, |
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| 85 | ! comment fields (!:) to be used for variable explanations added to |
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| 86 | ! all variable declaration statements |
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| 87 | ! |
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| 88 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 89 | ! openacc loop and loop vector clauses removed, declare create moved after |
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| 90 | ! the FORTRAN declaration statement |
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| 91 | ! |
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| 92 | ! 1179 2013-06-14 05:57:58Z raasch |
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| 93 | ! use_reference renamed use_single_reference_value |
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| 94 | ! |
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| 95 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 96 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 97 | ! j_north |
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| 98 | ! |
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| 99 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 100 | ! code put under GPL (PALM 3.9) |
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| 101 | ! |
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| 102 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 103 | ! accelerator version (*_acc) added |
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| 104 | ! |
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| 105 | ! 1007 2012-09-19 14:30:36Z franke |
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| 106 | ! Bugfix: calculation of buoyancy production has to consider the liquid water |
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| 107 | ! mixing ratio in case of cloud droplets |
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| 108 | ! |
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| 109 | ! 940 2012-07-09 14:31:00Z raasch |
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| 110 | ! TKE production by buoyancy can be switched off in case of runs with pure |
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| 111 | ! neutral stratification |
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| 112 | ! |
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| 113 | ! Revision 1.1 1997/09/19 07:45:35 raasch |
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| 114 | ! Initial revision |
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| 115 | ! |
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| 116 | ! |
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| 117 | ! Description: |
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| 118 | ! ------------ |
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| 119 | !> Production terms (shear + buoyancy) of the TKE. |
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| 120 | !> @warning The case with constant_flux_layer = F and use_surface_fluxes = T is |
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| 121 | !> not considered well! |
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| 122 | !------------------------------------------------------------------------------! |
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| 123 | MODULE production_e_mod |
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| 124 | |
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| 125 | USE kinds |
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| 126 | |
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| 127 | PRIVATE |
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| 128 | PUBLIC production_e, production_e_init |
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| 129 | |
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| 130 | INTERFACE production_e |
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| 131 | MODULE PROCEDURE production_e |
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| 132 | MODULE PROCEDURE production_e_ij |
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| 133 | END INTERFACE production_e |
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| 134 | |
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| 135 | INTERFACE production_e_init |
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| 136 | MODULE PROCEDURE production_e_init |
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| 137 | END INTERFACE production_e_init |
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| 138 | |
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| 139 | CONTAINS |
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| 140 | |
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| 141 | |
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| 142 | !------------------------------------------------------------------------------! |
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| 143 | ! Description: |
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| 144 | ! ------------ |
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| 145 | !> Call for all grid points |
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| 146 | !------------------------------------------------------------------------------! |
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| 147 | SUBROUTINE production_e |
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| 148 | |
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| 149 | USE arrays_3d, & |
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| 150 | ONLY: ddzw, dd2zu, drho_air_zw, kh, km, prho, pt, q, ql, tend, u, & |
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| 151 | v, vpt, w |
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| 152 | |
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| 153 | USE cloud_parameters, & |
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| 154 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
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| 155 | |
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| 156 | USE control_parameters, & |
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| 157 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
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| 158 | humidity, kappa, neutral, ocean, pt_reference, & |
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| 159 | rho_reference, use_single_reference_value, & |
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| 160 | use_surface_fluxes, use_top_fluxes, vpt_reference |
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| 161 | |
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| 162 | USE grid_variables, & |
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| 163 | ONLY: ddx, dx, ddy, dy |
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| 164 | |
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| 165 | USE indices, & |
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| 166 | ONLY: nxl, nxr, nys, nyn, nzb, nzt, wall_flags_0 |
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| 167 | |
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| 168 | USE surface_mod, & |
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| 169 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
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| 170 | surf_usm_v |
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| 171 | |
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| 172 | IMPLICIT NONE |
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| 173 | |
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| 174 | INTEGER(iwp) :: i !< running index x-direction |
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| 175 | INTEGER(iwp) :: j !< running index y-direction |
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| 176 | INTEGER(iwp) :: k !< running index z-direction |
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| 177 | INTEGER(iwp) :: l !< running index for different surface type orientation |
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| 178 | INTEGER(iwp) :: m !< running index surface elements |
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| 179 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
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| 180 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
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| 181 | |
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| 182 | REAL(wp) :: def !< |
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| 183 | REAL(wp) :: flag !< flag to mask topography |
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| 184 | REAL(wp) :: k1 !< |
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| 185 | REAL(wp) :: k2 !< |
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| 186 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
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| 187 | REAL(wp) :: theta !< |
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| 188 | REAL(wp) :: temp !< |
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| 189 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
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| 190 | REAL(wp) :: usvs !< momentum flux u"v" |
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| 191 | REAL(wp) :: vsus !< momentum flux v"u" |
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| 192 | REAL(wp) :: wsus !< momentum flux w"u" |
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| 193 | REAL(wp) :: wsvs !< momentum flux w"v" |
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| 194 | |
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| 195 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudx !< Gradient of u-component in x-direction |
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| 196 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudy !< Gradient of u-component in y-direction |
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| 197 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dudz !< Gradient of u-component in z-direction |
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| 198 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdx !< Gradient of v-component in x-direction |
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| 199 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdy !< Gradient of v-component in y-direction |
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| 200 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dvdz !< Gradient of v-component in z-direction |
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| 201 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdx !< Gradient of w-component in x-direction |
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| 202 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdy !< Gradient of w-component in y-direction |
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| 203 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: dwdz !< Gradient of w-component in z-direction |
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| 204 | |
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| 205 | DO i = nxl, nxr |
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| 206 | |
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| 207 | IF ( constant_flux_layer ) THEN |
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| 208 | |
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| 209 | ! |
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| 210 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
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| 211 | !-- points first, gradients at surface-bounded grid points will be |
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| 212 | !-- overwritten further below. |
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| 213 | DO j = nys, nyn |
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| 214 | DO k = nzb+1, nzt |
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| 215 | |
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| 216 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
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| 217 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
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| 218 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
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| 219 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
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| 220 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
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| 221 | dd2zu(k) |
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| 222 | |
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| 223 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
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| 224 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
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| 225 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
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| 226 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
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| 227 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
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| 228 | dd2zu(k) |
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| 229 | |
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| 230 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
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| 231 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
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| 232 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
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| 233 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
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| 234 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
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| 235 | |
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| 236 | ENDDO |
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| 237 | ENDDO |
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| 238 | |
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| 239 | ! |
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| 240 | !-- Position beneath wall |
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| 241 | !-- (2) - Will allways be executed. |
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| 242 | !-- 'bottom and wall: use u_0,v_0 and wall functions' |
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| 243 | DO j = nys, nyn |
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| 244 | ! |
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| 245 | !-- Compute gradients at north- and south-facing surfaces. |
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| 246 | !-- First, for default surfaces, then for urban surfaces. |
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| 247 | !-- Note, so far no natural vertical surfaces implemented |
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| 248 | DO l = 0, 1 |
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| 249 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 250 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 251 | DO m = surf_s, surf_e |
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| 252 | k = surf_def_v(l)%k(m) |
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| 253 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
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| 254 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
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| 255 | |
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| 256 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 257 | * 0.5_wp * dy |
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| 258 | ! |
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| 259 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 260 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 261 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 262 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 263 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 264 | ENDDO |
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| 265 | ! |
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| 266 | !-- Natural surfaces |
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| 267 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 268 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 269 | DO m = surf_s, surf_e |
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| 270 | k = surf_lsm_v(l)%k(m) |
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| 271 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
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| 272 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
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| 273 | |
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| 274 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 275 | * 0.5_wp * dy |
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| 276 | ! |
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| 277 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 278 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 279 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 280 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 281 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 282 | ENDDO |
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| 283 | ! |
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| 284 | !-- Urban surfaces |
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| 285 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 286 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 287 | DO m = surf_s, surf_e |
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| 288 | k = surf_usm_v(l)%k(m) |
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| 289 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
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| 290 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
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| 291 | |
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| 292 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
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| 293 | * 0.5_wp * dy |
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| 294 | ! |
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| 295 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 296 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 297 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
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| 298 | dudy(k,j) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
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| 299 | dwdy(k,j) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
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| 300 | ENDDO |
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| 301 | ENDDO |
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| 302 | ! |
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| 303 | !-- Compute gradients at east- and west-facing walls |
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| 304 | DO l = 2, 3 |
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| 305 | surf_s = surf_def_v(l)%start_index(j,i) |
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| 306 | surf_e = surf_def_v(l)%end_index(j,i) |
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| 307 | DO m = surf_s, surf_e |
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| 308 | k = surf_def_v(l)%k(m) |
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| 309 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
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| 310 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
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| 311 | |
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| 312 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 313 | * 0.5_wp * dx |
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| 314 | ! |
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| 315 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 316 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 317 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 318 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 319 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 320 | ENDDO |
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| 321 | ! |
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| 322 | !-- Natural surfaces |
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| 323 | surf_s = surf_lsm_v(l)%start_index(j,i) |
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| 324 | surf_e = surf_lsm_v(l)%end_index(j,i) |
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| 325 | DO m = surf_s, surf_e |
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| 326 | k = surf_lsm_v(l)%k(m) |
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| 327 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
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| 328 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
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| 329 | |
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| 330 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 331 | * 0.5_wp * dx |
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| 332 | ! |
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| 333 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 334 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 335 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 336 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 337 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 338 | ENDDO |
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| 339 | ! |
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| 340 | !-- Urban surfaces |
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| 341 | surf_s = surf_usm_v(l)%start_index(j,i) |
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| 342 | surf_e = surf_usm_v(l)%end_index(j,i) |
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| 343 | DO m = surf_s, surf_e |
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| 344 | k = surf_usm_v(l)%k(m) |
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| 345 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
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| 346 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
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| 347 | |
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| 348 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
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| 349 | * 0.5_wp * dx |
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| 350 | ! |
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| 351 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
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| 352 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
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| 353 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
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| 354 | dvdx(k,j) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
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| 355 | dwdx(k,j) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
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| 356 | ENDDO |
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| 357 | ENDDO |
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| 358 | ! |
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| 359 | !-- Compute gradients at upward-facing surfaces |
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| 360 | surf_s = surf_def_h(0)%start_index(j,i) |
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| 361 | surf_e = surf_def_h(0)%end_index(j,i) |
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| 362 | DO m = surf_s, surf_e |
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| 363 | k = surf_def_h(0)%k(m) |
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| 364 | ! |
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| 365 | !-- Please note, actually, an interpolation of u_0 and v_0 |
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| 366 | !-- onto the grid center would be required. However, this |
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| 367 | !-- would require several data transfers between 2D-grid and |
|---|
| 368 | !-- wall type. The effect of this missing interpolation is |
|---|
| 369 | !-- negligible. (See also production_e_init). |
|---|
| 370 | dudz(k,j) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
|---|
| 371 | dvdz(k,j) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
|---|
| 372 | |
|---|
| 373 | ENDDO |
|---|
| 374 | ! |
|---|
| 375 | !-- Natural surfaces |
|---|
| 376 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 377 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 378 | DO m = surf_s, surf_e |
|---|
| 379 | k = surf_lsm_h%k(m) |
|---|
| 380 | |
|---|
| 381 | dudz(k,j) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
|---|
| 382 | dvdz(k,j) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
|---|
| 383 | |
|---|
| 384 | ENDDO |
|---|
| 385 | ! |
|---|
| 386 | !-- Urban surfaces |
|---|
| 387 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 388 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 389 | DO m = surf_s, surf_e |
|---|
| 390 | k = surf_usm_h%k(m) |
|---|
| 391 | |
|---|
| 392 | dudz(k,j) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
|---|
| 393 | dvdz(k,j) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
|---|
| 394 | |
|---|
| 395 | ENDDO |
|---|
| 396 | ! |
|---|
| 397 | !-- Compute gradients at downward-facing walls, only for |
|---|
| 398 | !-- non-natural default surfaces |
|---|
| 399 | surf_s = surf_def_h(1)%start_index(j,i) |
|---|
| 400 | surf_e = surf_def_h(1)%end_index(j,i) |
|---|
| 401 | DO m = surf_s, surf_e |
|---|
| 402 | k = surf_def_h(1)%k(m) |
|---|
| 403 | |
|---|
| 404 | dudz(k,j) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
|---|
| 405 | dvdz(k,j) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
|---|
| 406 | |
|---|
| 407 | ENDDO |
|---|
| 408 | ENDDO |
|---|
| 409 | |
|---|
| 410 | DO j = nys, nyn |
|---|
| 411 | DO k = nzb+1, nzt |
|---|
| 412 | |
|---|
| 413 | def = 2.0_wp * ( dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 ) + & |
|---|
| 414 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
|---|
| 415 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
|---|
| 416 | 2.0_wp * ( dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
|---|
| 417 | dwdy(k,j)*dvdz(k,j) ) |
|---|
| 418 | |
|---|
| 419 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 420 | |
|---|
| 421 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
|---|
| 422 | |
|---|
| 423 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
|---|
| 424 | |
|---|
| 425 | ENDDO |
|---|
| 426 | ENDDO |
|---|
| 427 | |
|---|
| 428 | ELSE |
|---|
| 429 | |
|---|
| 430 | DO j = nys, nyn |
|---|
| 431 | ! |
|---|
| 432 | !-- Calculate TKE production by shear. Here, no additional |
|---|
| 433 | !-- wall-bounded code is considered. |
|---|
| 434 | !-- Why? |
|---|
| 435 | DO k = nzb+1, nzt |
|---|
| 436 | |
|---|
| 437 | dudx(k,j) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 438 | dudy(k,j) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 439 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 440 | dudz(k,j) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 441 | u(k-1,j,i) - u(k-1,j,i+1) ) * & |
|---|
| 442 | dd2zu(k) |
|---|
| 443 | |
|---|
| 444 | dvdx(k,j) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 445 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 446 | dvdy(k,j) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 447 | dvdz(k,j) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 448 | v(k-1,j,i) - v(k-1,j+1,i) ) * & |
|---|
| 449 | dd2zu(k) |
|---|
| 450 | |
|---|
| 451 | dwdx(k,j) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 452 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 453 | dwdy(k,j) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 454 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 455 | dwdz(k,j) = ( w(k,j,i) - w(k-1,j,i) ) * & |
|---|
| 456 | ddzw(k) |
|---|
| 457 | |
|---|
| 458 | def = 2.0_wp * ( & |
|---|
| 459 | dudx(k,j)**2 + dvdy(k,j)**2 + dwdz(k,j)**2 & |
|---|
| 460 | ) + & |
|---|
| 461 | dudy(k,j)**2 + dvdx(k,j)**2 + dwdx(k,j)**2 + & |
|---|
| 462 | dwdy(k,j)**2 + dudz(k,j)**2 + dvdz(k,j)**2 + & |
|---|
| 463 | 2.0_wp * ( & |
|---|
| 464 | dvdx(k,j)*dudy(k,j) + dwdx(k,j)*dudz(k,j) + & |
|---|
| 465 | dwdy(k,j)*dvdz(k,j) & |
|---|
| 466 | ) |
|---|
| 467 | |
|---|
| 468 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 469 | |
|---|
| 470 | flag = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 471 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
|---|
| 472 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
|---|
| 473 | |
|---|
| 474 | ENDDO |
|---|
| 475 | ENDDO |
|---|
| 476 | |
|---|
| 477 | ENDIF |
|---|
| 478 | |
|---|
| 479 | ! |
|---|
| 480 | !-- If required, calculate TKE production by buoyancy |
|---|
| 481 | IF ( .NOT. neutral ) THEN |
|---|
| 482 | |
|---|
| 483 | IF ( .NOT. humidity ) THEN |
|---|
| 484 | |
|---|
| 485 | IF ( ocean ) THEN |
|---|
| 486 | ! |
|---|
| 487 | !-- So far in the ocean no special treatment of density flux |
|---|
| 488 | !-- in the bottom and top surface layer |
|---|
| 489 | DO j = nys, nyn |
|---|
| 490 | DO k = nzb+1, nzt |
|---|
| 491 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 492 | kh(k,j,i) * g / & |
|---|
| 493 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 494 | use_single_reference_value ) * & |
|---|
| 495 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
|---|
| 496 | dd2zu(k) * & |
|---|
| 497 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 498 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 499 | ) * & |
|---|
| 500 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 501 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 502 | ) |
|---|
| 503 | ENDDO |
|---|
| 504 | ! |
|---|
| 505 | !-- Treatment of near-surface grid points, at up- and down- |
|---|
| 506 | !-- ward facing surfaces |
|---|
| 507 | IF ( use_surface_fluxes ) THEN |
|---|
| 508 | DO l = 0, 1 |
|---|
| 509 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 510 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 511 | DO m = surf_s, surf_e |
|---|
| 512 | k = surf_def_h(l)%k(m) |
|---|
| 513 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 514 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 515 | use_single_reference_value ) * & |
|---|
| 516 | drho_air_zw(k-1) * & |
|---|
| 517 | surf_def_h(l)%shf(m) |
|---|
| 518 | ENDDO |
|---|
| 519 | ENDDO |
|---|
| 520 | |
|---|
| 521 | ENDIF |
|---|
| 522 | |
|---|
| 523 | IF ( use_top_fluxes ) THEN |
|---|
| 524 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 525 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 526 | DO m = surf_s, surf_e |
|---|
| 527 | k = surf_def_h(2)%k(m) |
|---|
| 528 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 529 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 530 | use_single_reference_value ) * & |
|---|
| 531 | drho_air_zw(k) * & |
|---|
| 532 | surf_def_h(2)%shf(m) |
|---|
| 533 | ENDDO |
|---|
| 534 | ENDIF |
|---|
| 535 | |
|---|
| 536 | ENDDO |
|---|
| 537 | |
|---|
| 538 | ELSE |
|---|
| 539 | |
|---|
| 540 | DO j = nys, nyn |
|---|
| 541 | DO k = nzb+1, nzt |
|---|
| 542 | ! |
|---|
| 543 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
|---|
| 544 | !-- surface fluxes |
|---|
| 545 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 546 | kh(k,j,i) * g / & |
|---|
| 547 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 548 | use_single_reference_value ) * & |
|---|
| 549 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * & |
|---|
| 550 | dd2zu(k) * & |
|---|
| 551 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 552 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 553 | ) * & |
|---|
| 554 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 555 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 556 | ) |
|---|
| 557 | ENDDO |
|---|
| 558 | |
|---|
| 559 | IF ( use_surface_fluxes ) THEN |
|---|
| 560 | ! |
|---|
| 561 | !-- Default surfaces, up- and downward-facing |
|---|
| 562 | DO l = 0, 1 |
|---|
| 563 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 564 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 565 | DO m = surf_s, surf_e |
|---|
| 566 | k = surf_def_h(l)%k(m) |
|---|
| 567 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 568 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 569 | use_single_reference_value ) & |
|---|
| 570 | * drho_air_zw(k-1) & |
|---|
| 571 | * surf_def_h(l)%shf(m) |
|---|
| 572 | ENDDO |
|---|
| 573 | ENDDO |
|---|
| 574 | ! |
|---|
| 575 | !-- Natural surfaces |
|---|
| 576 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 577 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 578 | DO m = surf_s, surf_e |
|---|
| 579 | k = surf_lsm_h%k(m) |
|---|
| 580 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 581 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 582 | use_single_reference_value ) & |
|---|
| 583 | * drho_air_zw(k-1) & |
|---|
| 584 | * surf_lsm_h%shf(m) |
|---|
| 585 | ENDDO |
|---|
| 586 | ! |
|---|
| 587 | !-- Urban surfaces |
|---|
| 588 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 589 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 590 | DO m = surf_s, surf_e |
|---|
| 591 | k = surf_usm_h%k(m) |
|---|
| 592 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 593 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 594 | use_single_reference_value ) & |
|---|
| 595 | * drho_air_zw(k-1) & |
|---|
| 596 | * surf_usm_h%shf(m) |
|---|
| 597 | ENDDO |
|---|
| 598 | ENDIF |
|---|
| 599 | |
|---|
| 600 | IF ( use_top_fluxes ) THEN |
|---|
| 601 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 602 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 603 | DO m = surf_s, surf_e |
|---|
| 604 | k = surf_def_h(2)%k(m) |
|---|
| 605 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 606 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 607 | use_single_reference_value ) & |
|---|
| 608 | * drho_air_zw(k) & |
|---|
| 609 | * surf_def_h(2)%shf(m) |
|---|
| 610 | ENDDO |
|---|
| 611 | ENDIF |
|---|
| 612 | ENDDO |
|---|
| 613 | |
|---|
| 614 | ENDIF |
|---|
| 615 | |
|---|
| 616 | ELSE |
|---|
| 617 | |
|---|
| 618 | DO j = nys, nyn |
|---|
| 619 | |
|---|
| 620 | DO k = nzb+1, nzt |
|---|
| 621 | ! |
|---|
| 622 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
|---|
| 623 | !-- surface fluxes |
|---|
| 624 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 625 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 626 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 627 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 628 | g / & |
|---|
| 629 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 630 | use_single_reference_value ) * & |
|---|
| 631 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 632 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 633 | ) * dd2zu(k) * & |
|---|
| 634 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 635 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 636 | ) * & |
|---|
| 637 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 638 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 639 | ) |
|---|
| 640 | ELSE IF ( cloud_physics ) THEN |
|---|
| 641 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 642 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 643 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 644 | ELSE |
|---|
| 645 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 646 | temp = theta * t_d_pt(k) |
|---|
| 647 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 648 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 649 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 650 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 651 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 652 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 653 | ENDIF |
|---|
| 654 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * & |
|---|
| 655 | g / & |
|---|
| 656 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 657 | use_single_reference_value ) * & |
|---|
| 658 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 659 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 660 | ) * dd2zu(k) * & |
|---|
| 661 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 662 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 663 | ) * & |
|---|
| 664 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 665 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 666 | ) |
|---|
| 667 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 668 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 669 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 670 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 671 | kh(k,j,i) * g / & |
|---|
| 672 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 673 | use_single_reference_value ) * & |
|---|
| 674 | ( k1 * ( pt(k+1,j,i)- pt(k-1,j,i) ) + & |
|---|
| 675 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 676 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 677 | ql(k-1,j,i) ) ) * dd2zu(k) * & |
|---|
| 678 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 679 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 680 | ) * & |
|---|
| 681 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 682 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 683 | ) |
|---|
| 684 | ENDIF |
|---|
| 685 | |
|---|
| 686 | ENDDO |
|---|
| 687 | |
|---|
| 688 | ENDDO |
|---|
| 689 | |
|---|
| 690 | IF ( use_surface_fluxes ) THEN |
|---|
| 691 | |
|---|
| 692 | DO j = nys, nyn |
|---|
| 693 | ! |
|---|
| 694 | !-- Treat horizontal default surfaces |
|---|
| 695 | DO l = 0, 1 |
|---|
| 696 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 697 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 698 | DO m = surf_s, surf_e |
|---|
| 699 | k = surf_def_h(l)%k(m) |
|---|
| 700 | |
|---|
| 701 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 702 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 703 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 704 | ELSE IF ( cloud_physics ) THEN |
|---|
| 705 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 706 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 707 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 708 | ELSE |
|---|
| 709 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 710 | temp = theta * t_d_pt(k) |
|---|
| 711 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 712 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 713 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 714 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 715 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 716 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 717 | ENDIF |
|---|
| 718 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 719 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 720 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 721 | ENDIF |
|---|
| 722 | |
|---|
| 723 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 724 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 725 | use_single_reference_value ) * & |
|---|
| 726 | ( k1 * surf_def_h(l)%shf(m) + & |
|---|
| 727 | k2 * surf_def_h(l)%qsws(m) & |
|---|
| 728 | ) * drho_air_zw(k-1) |
|---|
| 729 | ENDDO |
|---|
| 730 | ENDDO |
|---|
| 731 | ! |
|---|
| 732 | !-- Treat horizontal natural surfaces |
|---|
| 733 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 734 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 735 | DO m = surf_s, surf_e |
|---|
| 736 | k = surf_lsm_h%k(m) |
|---|
| 737 | |
|---|
| 738 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 739 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 740 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 741 | ELSE IF ( cloud_physics ) THEN |
|---|
| 742 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 743 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 744 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 745 | ELSE |
|---|
| 746 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 747 | temp = theta * t_d_pt(k) |
|---|
| 748 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 749 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 750 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 751 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 752 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 753 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 754 | ENDIF |
|---|
| 755 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 756 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 757 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 758 | ENDIF |
|---|
| 759 | |
|---|
| 760 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 761 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 762 | use_single_reference_value ) * & |
|---|
| 763 | ( k1 * surf_lsm_h%shf(m) + & |
|---|
| 764 | k2 * surf_lsm_h%qsws(m) & |
|---|
| 765 | ) * drho_air_zw(k-1) |
|---|
| 766 | ENDDO |
|---|
| 767 | ! |
|---|
| 768 | !-- Treat horizontal urban surfaces |
|---|
| 769 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 770 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 771 | DO m = surf_s, surf_e |
|---|
| 772 | k = surf_lsm_h%k(m) |
|---|
| 773 | |
|---|
| 774 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 775 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 776 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 777 | ELSE IF ( cloud_physics ) THEN |
|---|
| 778 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 779 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 780 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 781 | ELSE |
|---|
| 782 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 783 | temp = theta * t_d_pt(k) |
|---|
| 784 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 785 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 786 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 787 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 788 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 789 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 790 | ENDIF |
|---|
| 791 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 792 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 793 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 794 | ENDIF |
|---|
| 795 | |
|---|
| 796 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 797 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 798 | use_single_reference_value ) * & |
|---|
| 799 | ( k1 * surf_usm_h%shf(m) + & |
|---|
| 800 | k2 * surf_usm_h%qsws(m) & |
|---|
| 801 | ) * drho_air_zw(k-1) |
|---|
| 802 | ENDDO |
|---|
| 803 | |
|---|
| 804 | ENDDO |
|---|
| 805 | |
|---|
| 806 | ENDIF |
|---|
| 807 | |
|---|
| 808 | IF ( use_top_fluxes ) THEN |
|---|
| 809 | |
|---|
| 810 | DO j = nys, nyn |
|---|
| 811 | |
|---|
| 812 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 813 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 814 | DO m = surf_s, surf_e |
|---|
| 815 | k = surf_def_h(2)%k(m) |
|---|
| 816 | |
|---|
| 817 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 818 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 819 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 820 | ELSE IF ( cloud_physics ) THEN |
|---|
| 821 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 822 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 823 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 824 | ELSE |
|---|
| 825 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 826 | temp = theta * t_d_pt(k) |
|---|
| 827 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 828 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 829 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 830 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 831 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 832 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 833 | ENDIF |
|---|
| 834 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 835 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 836 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 837 | ENDIF |
|---|
| 838 | |
|---|
| 839 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 840 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 841 | use_single_reference_value ) * & |
|---|
| 842 | ( k1 * surf_def_h(2)%shf(m) + & |
|---|
| 843 | k2 * surf_def_h(2)%qsws(m) & |
|---|
| 844 | ) * drho_air_zw(k) |
|---|
| 845 | |
|---|
| 846 | ENDDO |
|---|
| 847 | |
|---|
| 848 | ENDDO |
|---|
| 849 | |
|---|
| 850 | ENDIF |
|---|
| 851 | |
|---|
| 852 | ENDIF |
|---|
| 853 | |
|---|
| 854 | ENDIF |
|---|
| 855 | |
|---|
| 856 | ENDDO |
|---|
| 857 | |
|---|
| 858 | END SUBROUTINE production_e |
|---|
| 859 | |
|---|
| 860 | |
|---|
| 861 | !------------------------------------------------------------------------------! |
|---|
| 862 | ! Description: |
|---|
| 863 | ! ------------ |
|---|
| 864 | !> Call for grid point i,j |
|---|
| 865 | !------------------------------------------------------------------------------! |
|---|
| 866 | SUBROUTINE production_e_ij( i, j ) |
|---|
| 867 | |
|---|
| 868 | USE arrays_3d, & |
|---|
| 869 | ONLY: ddzw, dd2zu, drho_air_zw, kh, km, prho, pt, q, ql, tend, u, & |
|---|
| 870 | v, vpt, w |
|---|
| 871 | |
|---|
| 872 | USE cloud_parameters, & |
|---|
| 873 | ONLY: l_d_cp, l_d_r, pt_d_t, t_d_pt |
|---|
| 874 | |
|---|
| 875 | USE control_parameters, & |
|---|
| 876 | ONLY: cloud_droplets, cloud_physics, constant_flux_layer, g, & |
|---|
| 877 | humidity, kappa, neutral, ocean, pt_reference, & |
|---|
| 878 | rho_reference, use_single_reference_value, & |
|---|
| 879 | use_surface_fluxes, use_top_fluxes, vpt_reference |
|---|
| 880 | |
|---|
| 881 | USE grid_variables, & |
|---|
| 882 | ONLY: ddx, dx, ddy, dy |
|---|
| 883 | |
|---|
| 884 | USE indices, & |
|---|
| 885 | ONLY: nxl, nxr, nys, nyn, nzb, nzb, nzt, wall_flags_0 |
|---|
| 886 | |
|---|
| 887 | USE surface_mod, & |
|---|
| 888 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_usm_h, & |
|---|
| 889 | surf_usm_v |
|---|
| 890 | |
|---|
| 891 | IMPLICIT NONE |
|---|
| 892 | |
|---|
| 893 | INTEGER(iwp) :: i !< running index x-direction |
|---|
| 894 | INTEGER(iwp) :: j !< running index y-direction |
|---|
| 895 | INTEGER(iwp) :: k !< running index z-direction |
|---|
| 896 | INTEGER(iwp) :: l !< running index for different surface type orientation |
|---|
| 897 | INTEGER(iwp) :: m !< running index surface elements |
|---|
| 898 | INTEGER(iwp) :: surf_e !< end index of surface elements at given i-j position |
|---|
| 899 | INTEGER(iwp) :: surf_s !< start index of surface elements at given i-j position |
|---|
| 900 | |
|---|
| 901 | REAL(wp) :: def !< |
|---|
| 902 | REAL(wp) :: flag !< flag to mask topography |
|---|
| 903 | REAL(wp) :: k1 !< |
|---|
| 904 | REAL(wp) :: k2 !< |
|---|
| 905 | REAL(wp) :: km_neutral !< diffusion coefficient assuming neutral conditions - used to compute shear production at surfaces |
|---|
| 906 | REAL(wp) :: theta !< |
|---|
| 907 | REAL(wp) :: temp !< |
|---|
| 908 | REAL(wp) :: sign_dir !< sign of wall-tke flux, depending on wall orientation |
|---|
| 909 | REAL(wp) :: usvs !< momentum flux u"v" |
|---|
| 910 | REAL(wp) :: vsus !< momentum flux v"u" |
|---|
| 911 | REAL(wp) :: wsus !< momentum flux w"u" |
|---|
| 912 | REAL(wp) :: wsvs !< momentum flux w"v" |
|---|
| 913 | |
|---|
| 914 | |
|---|
| 915 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudx !< Gradient of u-component in x-direction |
|---|
| 916 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudy !< Gradient of u-component in y-direction |
|---|
| 917 | REAL(wp), DIMENSION(nzb+1:nzt) :: dudz !< Gradient of u-component in z-direction |
|---|
| 918 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdx !< Gradient of v-component in x-direction |
|---|
| 919 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdy !< Gradient of v-component in y-direction |
|---|
| 920 | REAL(wp), DIMENSION(nzb+1:nzt) :: dvdz !< Gradient of v-component in z-direction |
|---|
| 921 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdx !< Gradient of w-component in x-direction |
|---|
| 922 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdy !< Gradient of w-component in y-direction |
|---|
| 923 | REAL(wp), DIMENSION(nzb+1:nzt) :: dwdz !< Gradient of w-component in z-direction |
|---|
| 924 | |
|---|
| 925 | |
|---|
| 926 | IF ( constant_flux_layer ) THEN |
|---|
| 927 | ! |
|---|
| 928 | !-- Calculate TKE production by shear. Calculate gradients at all grid |
|---|
| 929 | !-- points first, gradients at surface-bounded grid points will be |
|---|
| 930 | !-- overwritten further below. |
|---|
| 931 | DO k = nzb+1, nzt |
|---|
| 932 | |
|---|
| 933 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 934 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 935 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 936 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 937 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 938 | |
|---|
| 939 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 940 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 941 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 942 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 943 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 944 | |
|---|
| 945 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 946 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 947 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 948 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 949 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 950 | |
|---|
| 951 | ENDDO |
|---|
| 952 | ! |
|---|
| 953 | !-- Compute gradients at north- and south-facing surfaces. |
|---|
| 954 | !-- Note, no vertical natural surfaces so far. |
|---|
| 955 | DO l = 0, 1 |
|---|
| 956 | ! |
|---|
| 957 | !-- Default surfaces |
|---|
| 958 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 959 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 960 | DO m = surf_s, surf_e |
|---|
| 961 | k = surf_def_v(l)%k(m) |
|---|
| 962 | usvs = surf_def_v(l)%mom_flux_tke(0,m) |
|---|
| 963 | wsvs = surf_def_v(l)%mom_flux_tke(1,m) |
|---|
| 964 | |
|---|
| 965 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
|---|
| 966 | * 0.5_wp * dy |
|---|
| 967 | ! |
|---|
| 968 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
|---|
| 969 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
|---|
| 970 | BTEST( wall_flags_0(k,j-1,i), 0 ) ) |
|---|
| 971 | dudy(k) = sign_dir * usvs / ( km_neutral + 1E-10_wp ) |
|---|
| 972 | dwdy(k) = sign_dir * wsvs / ( km_neutral + 1E-10_wp ) |
|---|
| 973 | ENDDO |
|---|
| 974 | ! |
|---|
| 975 | !-- Natural surfaces |
|---|
| 976 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 977 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 978 | DO m = surf_s, surf_e |
|---|
| 979 | k = surf_lsm_v(l)%k(m) |
|---|
| 980 | usvs = surf_lsm_v(l)%mom_flux_tke(0,m) |
|---|
| 981 | wsvs = surf_lsm_v(l)%mom_flux_tke(1,m) |
|---|
| 982 | |
|---|
| 983 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
|---|
| 984 | * 0.5_wp * dy |
|---|
| 985 | ! |
|---|
| 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 | !-- Urban surfaces |
|---|
| 994 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 995 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 996 | DO m = surf_s, surf_e |
|---|
| 997 | k = surf_usm_v(l)%k(m) |
|---|
| 998 | usvs = surf_usm_v(l)%mom_flux_tke(0,m) |
|---|
| 999 | wsvs = surf_usm_v(l)%mom_flux_tke(1,m) |
|---|
| 1000 | |
|---|
| 1001 | km_neutral = kappa * ( usvs**2 + wsvs**2 )**0.25_wp & |
|---|
| 1002 | * 0.5_wp * dy |
|---|
| 1003 | ! |
|---|
| 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 | ENDDO |
|---|
| 1011 | ! |
|---|
| 1012 | !-- Compute gradients at east- and west-facing walls |
|---|
| 1013 | DO l = 2, 3 |
|---|
| 1014 | ! |
|---|
| 1015 | !-- Default surfaces |
|---|
| 1016 | surf_s = surf_def_v(l)%start_index(j,i) |
|---|
| 1017 | surf_e = surf_def_v(l)%end_index(j,i) |
|---|
| 1018 | DO m = surf_s, surf_e |
|---|
| 1019 | k = surf_def_v(l)%k(m) |
|---|
| 1020 | vsus = surf_def_v(l)%mom_flux_tke(0,m) |
|---|
| 1021 | wsus = surf_def_v(l)%mom_flux_tke(1,m) |
|---|
| 1022 | |
|---|
| 1023 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
|---|
| 1024 | * 0.5_wp * dx |
|---|
| 1025 | ! |
|---|
| 1026 | !-- -1.0 for right-facing wall, 1.0 for left-facing wall |
|---|
| 1027 | sign_dir = MERGE( 1.0_wp, -1.0_wp, & |
|---|
| 1028 | BTEST( wall_flags_0(k,j,i-1), 0 ) ) |
|---|
| 1029 | dvdx(k) = sign_dir * vsus / ( km_neutral + 1E-10_wp ) |
|---|
| 1030 | dwdx(k) = sign_dir * wsus / ( km_neutral + 1E-10_wp ) |
|---|
| 1031 | ENDDO |
|---|
| 1032 | ! |
|---|
| 1033 | !-- Natural surfaces |
|---|
| 1034 | surf_s = surf_lsm_v(l)%start_index(j,i) |
|---|
| 1035 | surf_e = surf_lsm_v(l)%end_index(j,i) |
|---|
| 1036 | DO m = surf_s, surf_e |
|---|
| 1037 | k = surf_lsm_v(l)%k(m) |
|---|
| 1038 | vsus = surf_lsm_v(l)%mom_flux_tke(0,m) |
|---|
| 1039 | wsus = surf_lsm_v(l)%mom_flux_tke(1,m) |
|---|
| 1040 | |
|---|
| 1041 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
|---|
| 1042 | * 0.5_wp * dx |
|---|
| 1043 | ! |
|---|
| 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 | !-- Urban surfaces |
|---|
| 1052 | surf_s = surf_usm_v(l)%start_index(j,i) |
|---|
| 1053 | surf_e = surf_usm_v(l)%end_index(j,i) |
|---|
| 1054 | DO m = surf_s, surf_e |
|---|
| 1055 | k = surf_usm_v(l)%k(m) |
|---|
| 1056 | vsus = surf_usm_v(l)%mom_flux_tke(0,m) |
|---|
| 1057 | wsus = surf_usm_v(l)%mom_flux_tke(1,m) |
|---|
| 1058 | |
|---|
| 1059 | km_neutral = kappa * ( vsus**2 + wsus**2 )**0.25_wp & |
|---|
| 1060 | * 0.5_wp * dx |
|---|
| 1061 | ! |
|---|
| 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 | ENDDO |
|---|
| 1069 | ! |
|---|
| 1070 | !-- Compute gradients at upward-facing walls, first for |
|---|
| 1071 | !-- non-natural default surfaces |
|---|
| 1072 | surf_s = surf_def_h(0)%start_index(j,i) |
|---|
| 1073 | surf_e = surf_def_h(0)%end_index(j,i) |
|---|
| 1074 | DO m = surf_s, surf_e |
|---|
| 1075 | k = surf_def_h(0)%k(m) |
|---|
| 1076 | ! |
|---|
| 1077 | !-- Please note, actually, an interpolation of u_0 and v_0 |
|---|
| 1078 | !-- onto the grid center would be required. However, this |
|---|
| 1079 | !-- would require several data transfers between 2D-grid and |
|---|
| 1080 | !-- wall type. The effect of this missing interpolation is |
|---|
| 1081 | !-- negligible. (See also production_e_init). |
|---|
| 1082 | dudz(k) = ( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) * dd2zu(k) |
|---|
| 1083 | dvdz(k) = ( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) * dd2zu(k) |
|---|
| 1084 | |
|---|
| 1085 | ENDDO |
|---|
| 1086 | ! |
|---|
| 1087 | !-- Natural surfaces |
|---|
| 1088 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 1089 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 1090 | DO m = surf_s, surf_e |
|---|
| 1091 | k = surf_lsm_h%k(m) |
|---|
| 1092 | |
|---|
| 1093 | dudz(k) = ( u(k+1,j,i) - surf_lsm_h%u_0(m) ) * dd2zu(k) |
|---|
| 1094 | dvdz(k) = ( v(k+1,j,i) - surf_lsm_h%v_0(m) ) * dd2zu(k) |
|---|
| 1095 | ENDDO |
|---|
| 1096 | ! |
|---|
| 1097 | !-- Urban surfaces |
|---|
| 1098 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 1099 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 1100 | DO m = surf_s, surf_e |
|---|
| 1101 | k = surf_usm_h%k(m) |
|---|
| 1102 | |
|---|
| 1103 | dudz(k) = ( u(k+1,j,i) - surf_usm_h%u_0(m) ) * dd2zu(k) |
|---|
| 1104 | dvdz(k) = ( v(k+1,j,i) - surf_usm_h%v_0(m) ) * dd2zu(k) |
|---|
| 1105 | ENDDO |
|---|
| 1106 | ! |
|---|
| 1107 | !-- Compute gradients at downward-facing walls, only for |
|---|
| 1108 | !-- non-natural default surfaces |
|---|
| 1109 | surf_s = surf_def_h(1)%start_index(j,i) |
|---|
| 1110 | surf_e = surf_def_h(1)%end_index(j,i) |
|---|
| 1111 | DO m = surf_s, surf_e |
|---|
| 1112 | k = surf_def_h(1)%k(m) |
|---|
| 1113 | |
|---|
| 1114 | dudz(k) = ( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) * dd2zu(k) |
|---|
| 1115 | dvdz(k) = ( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) * dd2zu(k) |
|---|
| 1116 | |
|---|
| 1117 | ENDDO |
|---|
| 1118 | |
|---|
| 1119 | DO k = nzb+1, nzt |
|---|
| 1120 | |
|---|
| 1121 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
|---|
| 1122 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
|---|
| 1123 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
|---|
| 1124 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
|---|
| 1125 | |
|---|
| 1126 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1127 | |
|---|
| 1128 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
|---|
| 1129 | |
|---|
| 1130 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
|---|
| 1131 | |
|---|
| 1132 | ENDDO |
|---|
| 1133 | |
|---|
| 1134 | ELSE |
|---|
| 1135 | ! |
|---|
| 1136 | !-- Calculate TKE production by shear. Here, no additional |
|---|
| 1137 | !-- wall-bounded code is considered. |
|---|
| 1138 | !-- Why? |
|---|
| 1139 | DO k = nzb+1, nzt |
|---|
| 1140 | |
|---|
| 1141 | dudx(k) = ( u(k,j,i+1) - u(k,j,i) ) * ddx |
|---|
| 1142 | dudy(k) = 0.25_wp * ( u(k,j+1,i) + u(k,j+1,i+1) - & |
|---|
| 1143 | u(k,j-1,i) - u(k,j-1,i+1) ) * ddy |
|---|
| 1144 | dudz(k) = 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) - & |
|---|
| 1145 | u(k-1,j,i) - u(k-1,j,i+1) ) * dd2zu(k) |
|---|
| 1146 | |
|---|
| 1147 | dvdx(k) = 0.25_wp * ( v(k,j,i+1) + v(k,j+1,i+1) - & |
|---|
| 1148 | v(k,j,i-1) - v(k,j+1,i-1) ) * ddx |
|---|
| 1149 | dvdy(k) = ( v(k,j+1,i) - v(k,j,i) ) * ddy |
|---|
| 1150 | dvdz(k) = 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) - & |
|---|
| 1151 | v(k-1,j,i) - v(k-1,j+1,i) ) * dd2zu(k) |
|---|
| 1152 | |
|---|
| 1153 | dwdx(k) = 0.25_wp * ( w(k,j,i+1) + w(k-1,j,i+1) - & |
|---|
| 1154 | w(k,j,i-1) - w(k-1,j,i-1) ) * ddx |
|---|
| 1155 | dwdy(k) = 0.25_wp * ( w(k,j+1,i) + w(k-1,j+1,i) - & |
|---|
| 1156 | w(k,j-1,i) - w(k-1,j-1,i) ) * ddy |
|---|
| 1157 | dwdz(k) = ( w(k,j,i) - w(k-1,j,i) ) * ddzw(k) |
|---|
| 1158 | |
|---|
| 1159 | def = 2.0_wp * ( dudx(k)**2 + dvdy(k)**2 + dwdz(k)**2 ) + & |
|---|
| 1160 | dudy(k)**2 + dvdx(k)**2 + dwdx(k)**2 + & |
|---|
| 1161 | dwdy(k)**2 + dudz(k)**2 + dvdz(k)**2 + & |
|---|
| 1162 | 2.0_wp * ( dvdx(k)*dudy(k) + dwdx(k)*dudz(k) + dwdy(k)*dvdz(k) ) |
|---|
| 1163 | |
|---|
| 1164 | IF ( def < 0.0_wp ) def = 0.0_wp |
|---|
| 1165 | |
|---|
| 1166 | flag = MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1167 | BTEST( wall_flags_0(k,j,i), 29 ) ) |
|---|
| 1168 | tend(k,j,i) = tend(k,j,i) + km(k,j,i) * def * flag |
|---|
| 1169 | |
|---|
| 1170 | ENDDO |
|---|
| 1171 | |
|---|
| 1172 | ENDIF |
|---|
| 1173 | |
|---|
| 1174 | ! |
|---|
| 1175 | !-- If required, calculate TKE production by buoyancy |
|---|
| 1176 | IF ( .NOT. neutral ) THEN |
|---|
| 1177 | |
|---|
| 1178 | IF ( .NOT. humidity ) THEN |
|---|
| 1179 | |
|---|
| 1180 | IF ( ocean ) THEN |
|---|
| 1181 | ! |
|---|
| 1182 | !-- So far in the ocean no special treatment of density flux in |
|---|
| 1183 | !-- the bottom and top surface layer |
|---|
| 1184 | DO k = nzb+1, nzt |
|---|
| 1185 | |
|---|
| 1186 | tend(k,j,i) = tend(k,j,i) + & |
|---|
| 1187 | kh(k,j,i) * g / & |
|---|
| 1188 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 1189 | use_single_reference_value ) * & |
|---|
| 1190 | ( prho(k+1,j,i) - prho(k-1,j,i) ) * & |
|---|
| 1191 | dd2zu(k) * & |
|---|
| 1192 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1193 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 1194 | ) * & |
|---|
| 1195 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1196 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 1197 | ) |
|---|
| 1198 | ENDDO |
|---|
| 1199 | |
|---|
| 1200 | IF ( use_surface_fluxes ) THEN |
|---|
| 1201 | ! |
|---|
| 1202 | !-- Default surfaces, up- and downward-facing |
|---|
| 1203 | DO l = 0, 1 |
|---|
| 1204 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 1205 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 1206 | DO m = surf_s, surf_e |
|---|
| 1207 | k = surf_def_h(l)%k(m) |
|---|
| 1208 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1209 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 1210 | use_single_reference_value ) * & |
|---|
| 1211 | drho_air_zw(k-1) * & |
|---|
| 1212 | surf_def_h(l)%shf(m) |
|---|
| 1213 | ENDDO |
|---|
| 1214 | ENDDO |
|---|
| 1215 | |
|---|
| 1216 | ENDIF |
|---|
| 1217 | |
|---|
| 1218 | IF ( use_top_fluxes ) THEN |
|---|
| 1219 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 1220 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 1221 | DO m = surf_s, surf_e |
|---|
| 1222 | k = surf_def_h(2)%k(m) |
|---|
| 1223 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1224 | MERGE( rho_reference, prho(k,j,i), & |
|---|
| 1225 | use_single_reference_value ) * & |
|---|
| 1226 | drho_air_zw(k) * & |
|---|
| 1227 | surf_def_h(2)%shf(m) |
|---|
| 1228 | ENDDO |
|---|
| 1229 | ENDIF |
|---|
| 1230 | |
|---|
| 1231 | ELSE |
|---|
| 1232 | |
|---|
| 1233 | DO k = nzb+1, nzt |
|---|
| 1234 | ! |
|---|
| 1235 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask |
|---|
| 1236 | !-- surface fluxes |
|---|
| 1237 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1238 | kh(k,j,i) * g / & |
|---|
| 1239 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 1240 | use_single_reference_value ) * & |
|---|
| 1241 | ( pt(k+1,j,i) - pt(k-1,j,i) ) * dd2zu(k) * & |
|---|
| 1242 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1243 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 1244 | ) * & |
|---|
| 1245 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1246 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 1247 | ) |
|---|
| 1248 | |
|---|
| 1249 | ENDDO |
|---|
| 1250 | |
|---|
| 1251 | IF ( use_surface_fluxes ) THEN |
|---|
| 1252 | ! |
|---|
| 1253 | !-- Default surfaces, up- and downward-facing |
|---|
| 1254 | DO l = 0, 1 |
|---|
| 1255 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 1256 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 1257 | DO m = surf_s, surf_e |
|---|
| 1258 | k = surf_def_h(l)%k(m) |
|---|
| 1259 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1260 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 1261 | use_single_reference_value ) * & |
|---|
| 1262 | drho_air_zw(k-1) * & |
|---|
| 1263 | surf_def_h(l)%shf(m) |
|---|
| 1264 | ENDDO |
|---|
| 1265 | ENDDO |
|---|
| 1266 | ! |
|---|
| 1267 | !-- Natural surfaces |
|---|
| 1268 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 1269 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 1270 | DO m = surf_s, surf_e |
|---|
| 1271 | k = surf_lsm_h%k(m) |
|---|
| 1272 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1273 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 1274 | use_single_reference_value ) * & |
|---|
| 1275 | drho_air_zw(k-1) * & |
|---|
| 1276 | surf_lsm_h%shf(m) |
|---|
| 1277 | ENDDO |
|---|
| 1278 | ! |
|---|
| 1279 | !-- Urban surfaces |
|---|
| 1280 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 1281 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 1282 | DO m = surf_s, surf_e |
|---|
| 1283 | k = surf_usm_h%k(m) |
|---|
| 1284 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1285 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 1286 | use_single_reference_value ) * & |
|---|
| 1287 | drho_air_zw(k-1) * & |
|---|
| 1288 | surf_usm_h%shf(m) |
|---|
| 1289 | ENDDO |
|---|
| 1290 | ENDIF |
|---|
| 1291 | |
|---|
| 1292 | IF ( use_top_fluxes ) THEN |
|---|
| 1293 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 1294 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 1295 | DO m = surf_s, surf_e |
|---|
| 1296 | k = surf_def_h(2)%k(m) |
|---|
| 1297 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1298 | MERGE( pt_reference, pt(k,j,i), & |
|---|
| 1299 | use_single_reference_value ) * & |
|---|
| 1300 | drho_air_zw(k) * & |
|---|
| 1301 | surf_def_h(2)%shf(m) |
|---|
| 1302 | ENDDO |
|---|
| 1303 | ENDIF |
|---|
| 1304 | |
|---|
| 1305 | ENDIF |
|---|
| 1306 | |
|---|
| 1307 | ELSE |
|---|
| 1308 | |
|---|
| 1309 | DO k = nzb+1, nzt |
|---|
| 1310 | ! |
|---|
| 1311 | !-- Flag 9 is used to mask top fluxes, flag 30 to mask surface fluxes |
|---|
| 1312 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1313 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1314 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1315 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
|---|
| 1316 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1317 | use_single_reference_value ) * & |
|---|
| 1318 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1319 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1320 | ) * dd2zu(k) * & |
|---|
| 1321 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1322 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 1323 | ) * & |
|---|
| 1324 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1325 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 1326 | ) |
|---|
| 1327 | |
|---|
| 1328 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1329 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1330 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1331 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1332 | ELSE |
|---|
| 1333 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1334 | temp = theta * t_d_pt(k) |
|---|
| 1335 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1336 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1337 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1338 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1339 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1340 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1341 | ENDIF |
|---|
| 1342 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
|---|
| 1343 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1344 | use_single_reference_value ) * & |
|---|
| 1345 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1346 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) & |
|---|
| 1347 | ) * dd2zu(k) * & |
|---|
| 1348 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1349 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 1350 | ) * & |
|---|
| 1351 | MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1352 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 1353 | ) |
|---|
| 1354 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1355 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1356 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1357 | tend(k,j,i) = tend(k,j,i) - kh(k,j,i) * g / & |
|---|
| 1358 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1359 | use_single_reference_value ) * & |
|---|
| 1360 | ( k1 * ( pt(k+1,j,i)-pt(k-1,j,i) ) + & |
|---|
| 1361 | k2 * ( q(k+1,j,i) - q(k-1,j,i) ) - & |
|---|
| 1362 | pt(k,j,i) * ( ql(k+1,j,i) - & |
|---|
| 1363 | ql(k-1,j,i) ) ) * dd2zu(k)& |
|---|
| 1364 | * MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1365 | BTEST( wall_flags_0(k,j,i), 30 ) & |
|---|
| 1366 | ) & |
|---|
| 1367 | * MERGE( 1.0_wp, 0.0_wp, & |
|---|
| 1368 | BTEST( wall_flags_0(k,j,i), 9 ) & |
|---|
| 1369 | ) |
|---|
| 1370 | ENDIF |
|---|
| 1371 | ENDDO |
|---|
| 1372 | |
|---|
| 1373 | IF ( use_surface_fluxes ) THEN |
|---|
| 1374 | ! |
|---|
| 1375 | !-- Treat horizontal default surfaces, up- and downward-facing |
|---|
| 1376 | DO l = 0, 1 |
|---|
| 1377 | surf_s = surf_def_h(l)%start_index(j,i) |
|---|
| 1378 | surf_e = surf_def_h(l)%end_index(j,i) |
|---|
| 1379 | DO m = surf_s, surf_e |
|---|
| 1380 | k = surf_def_h(l)%k(m) |
|---|
| 1381 | |
|---|
| 1382 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1383 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1384 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1385 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1386 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1387 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1388 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1389 | ELSE |
|---|
| 1390 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1391 | temp = theta * t_d_pt(k) |
|---|
| 1392 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1393 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1394 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1395 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1396 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1397 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1398 | ENDIF |
|---|
| 1399 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1400 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1401 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1402 | ENDIF |
|---|
| 1403 | |
|---|
| 1404 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1405 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1406 | use_single_reference_value ) * & |
|---|
| 1407 | ( k1 * surf_def_h(l)%shf(m) + & |
|---|
| 1408 | k2 * surf_def_h(l)%qsws(m) & |
|---|
| 1409 | ) * drho_air_zw(k-1) |
|---|
| 1410 | ENDDO |
|---|
| 1411 | ENDDO |
|---|
| 1412 | ! |
|---|
| 1413 | !-- Treat horizontal natural surfaces |
|---|
| 1414 | surf_s = surf_lsm_h%start_index(j,i) |
|---|
| 1415 | surf_e = surf_lsm_h%end_index(j,i) |
|---|
| 1416 | DO m = surf_s, surf_e |
|---|
| 1417 | k = surf_lsm_h%k(m) |
|---|
| 1418 | |
|---|
| 1419 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1420 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1421 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1422 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1423 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1424 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1425 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1426 | ELSE |
|---|
| 1427 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1428 | temp = theta * t_d_pt(k) |
|---|
| 1429 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1430 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1431 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1432 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1433 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1434 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1435 | ENDIF |
|---|
| 1436 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1437 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1438 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1439 | ENDIF |
|---|
| 1440 | |
|---|
| 1441 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1442 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1443 | use_single_reference_value ) * & |
|---|
| 1444 | ( k1 * surf_lsm_h%shf(m) + & |
|---|
| 1445 | k2 * surf_lsm_h%qsws(m) & |
|---|
| 1446 | ) * drho_air_zw(k-1) |
|---|
| 1447 | ENDDO |
|---|
| 1448 | ! |
|---|
| 1449 | !-- Treat horizontal urban surfaces |
|---|
| 1450 | surf_s = surf_usm_h%start_index(j,i) |
|---|
| 1451 | surf_e = surf_usm_h%end_index(j,i) |
|---|
| 1452 | DO m = surf_s, surf_e |
|---|
| 1453 | k = surf_usm_h%k(m) |
|---|
| 1454 | |
|---|
| 1455 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1456 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1457 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1458 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1459 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1460 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1461 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1462 | ELSE |
|---|
| 1463 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1464 | temp = theta * t_d_pt(k) |
|---|
| 1465 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1466 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1467 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1468 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1469 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1470 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1471 | ENDIF |
|---|
| 1472 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1473 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1474 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1475 | ENDIF |
|---|
| 1476 | |
|---|
| 1477 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1478 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1479 | use_single_reference_value ) * & |
|---|
| 1480 | ( k1 * surf_usm_h%shf(m) + & |
|---|
| 1481 | k2 * surf_usm_h%qsws(m) & |
|---|
| 1482 | ) * drho_air_zw(k-1) |
|---|
| 1483 | ENDDO |
|---|
| 1484 | |
|---|
| 1485 | ENDIF |
|---|
| 1486 | |
|---|
| 1487 | IF ( use_top_fluxes ) THEN |
|---|
| 1488 | surf_s = surf_def_h(2)%start_index(j,i) |
|---|
| 1489 | surf_e = surf_def_h(2)%end_index(j,i) |
|---|
| 1490 | DO m = surf_s, surf_e |
|---|
| 1491 | k = surf_def_h(2)%k(m) |
|---|
| 1492 | |
|---|
| 1493 | |
|---|
| 1494 | |
|---|
| 1495 | IF ( .NOT. cloud_physics .AND. .NOT. cloud_droplets ) THEN |
|---|
| 1496 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1497 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1498 | ELSE IF ( cloud_physics ) THEN |
|---|
| 1499 | IF ( ql(k,j,i) == 0.0_wp ) THEN |
|---|
| 1500 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) |
|---|
| 1501 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1502 | ELSE |
|---|
| 1503 | theta = pt(k,j,i) + pt_d_t(k) * l_d_cp * ql(k,j,i) |
|---|
| 1504 | temp = theta * t_d_pt(k) |
|---|
| 1505 | k1 = ( 1.0_wp - q(k,j,i) + 1.61_wp * & |
|---|
| 1506 | ( q(k,j,i) - ql(k,j,i) ) * & |
|---|
| 1507 | ( 1.0_wp + 0.622_wp * l_d_r / temp ) ) / & |
|---|
| 1508 | ( 1.0_wp + 0.622_wp * l_d_r * l_d_cp * & |
|---|
| 1509 | ( q(k,j,i) - ql(k,j,i) ) / ( temp * temp ) ) |
|---|
| 1510 | k2 = theta * ( l_d_cp / temp * k1 - 1.0_wp ) |
|---|
| 1511 | ENDIF |
|---|
| 1512 | ELSE IF ( cloud_droplets ) THEN |
|---|
| 1513 | k1 = 1.0_wp + 0.61_wp * q(k,j,i) - ql(k,j,i) |
|---|
| 1514 | k2 = 0.61_wp * pt(k,j,i) |
|---|
| 1515 | ENDIF |
|---|
| 1516 | |
|---|
| 1517 | tend(k,j,i) = tend(k,j,i) + g / & |
|---|
| 1518 | MERGE( vpt_reference, vpt(k,j,i), & |
|---|
| 1519 | use_single_reference_value ) * & |
|---|
| 1520 | ( k1* surf_def_h(2)%shf(m) + & |
|---|
| 1521 | k2 * surf_def_h(2)%qsws(m) & |
|---|
| 1522 | ) * drho_air_zw(k) |
|---|
| 1523 | ENDDO |
|---|
| 1524 | |
|---|
| 1525 | ENDIF |
|---|
| 1526 | |
|---|
| 1527 | ENDIF |
|---|
| 1528 | |
|---|
| 1529 | ENDIF |
|---|
| 1530 | |
|---|
| 1531 | END SUBROUTINE production_e_ij |
|---|
| 1532 | |
|---|
| 1533 | |
|---|
| 1534 | !------------------------------------------------------------------------------! |
|---|
| 1535 | ! Description: |
|---|
| 1536 | ! ------------ |
|---|
| 1537 | !> @todo Missing subroutine description. |
|---|
| 1538 | !------------------------------------------------------------------------------! |
|---|
| 1539 | SUBROUTINE production_e_init |
|---|
| 1540 | |
|---|
| 1541 | USE arrays_3d, & |
|---|
| 1542 | ONLY: kh, km, drho_air_zw, u, v, zu |
|---|
| 1543 | |
|---|
| 1544 | USE control_parameters, & |
|---|
| 1545 | ONLY: constant_flux_layer, kappa |
|---|
| 1546 | |
|---|
| 1547 | USE indices, & |
|---|
| 1548 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_u_inner, & |
|---|
| 1549 | nzb_v_inner |
|---|
| 1550 | |
|---|
| 1551 | USE surface_mod, & |
|---|
| 1552 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_usm_h |
|---|
| 1553 | |
|---|
| 1554 | IMPLICIT NONE |
|---|
| 1555 | |
|---|
| 1556 | INTEGER(iwp) :: i !< grid index x-direction |
|---|
| 1557 | INTEGER(iwp) :: j !< grid index y-direction |
|---|
| 1558 | INTEGER(iwp) :: k !< grid index z-direction |
|---|
| 1559 | INTEGER(iwp) :: l !< running index surface type (up- or downward-facing) |
|---|
| 1560 | INTEGER(iwp) :: m !< running index surface elements |
|---|
| 1561 | |
|---|
| 1562 | IF ( constant_flux_layer ) THEN |
|---|
| 1563 | ! |
|---|
| 1564 | !-- Calculate a virtual velocity at the surface in a way that the |
|---|
| 1565 | !-- vertical velocity gradient at k = 1 (u(k+1)-u_0) matches the |
|---|
| 1566 | !-- Prandtl law (-w'u'/km). This gradient is used in the TKE shear |
|---|
| 1567 | !-- production term at k=1 (see production_e_ij). |
|---|
| 1568 | !-- The velocity gradient has to be limited in case of too small km |
|---|
| 1569 | !-- (otherwise the timestep may be significantly reduced by large |
|---|
| 1570 | !-- surface winds). |
|---|
| 1571 | !-- not available in case of non-cyclic boundary conditions. |
|---|
| 1572 | !-- WARNING: the exact analytical solution would require the determination |
|---|
| 1573 | !-- of the eddy diffusivity by km = u* * kappa * zp / phi_m. |
|---|
| 1574 | !-- Default surfaces, upward-facing |
|---|
| 1575 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
|---|
| 1576 | DO m = 1, surf_def_h(0)%ns |
|---|
| 1577 | |
|---|
| 1578 | i = surf_def_h(0)%i(m) |
|---|
| 1579 | j = surf_def_h(0)%j(m) |
|---|
| 1580 | k = surf_def_h(0)%k(m) |
|---|
| 1581 | ! |
|---|
| 1582 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
|---|
| 1583 | !-- and km are not on the same grid. Actually, a further |
|---|
| 1584 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
|---|
| 1585 | !-- effect of this error is negligible. |
|---|
| 1586 | surf_def_h(0)%u_0(m) = u(k+1,j,i) + surf_def_h(0)%usws(m) * & |
|---|
| 1587 | drho_air_zw(k-1) * & |
|---|
| 1588 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1589 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1590 | surf_def_h(0)%v_0(m) = v(k+1,j,i) + surf_def_h(0)%vsws(m) * & |
|---|
| 1591 | drho_air_zw(k-1) * & |
|---|
| 1592 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1593 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1594 | |
|---|
| 1595 | IF ( ABS( u(k+1,j,i) - surf_def_h(0)%u_0(m) ) > & |
|---|
| 1596 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
|---|
| 1597 | ) surf_def_h(0)%u_0(m) = u(k-1,j,i) |
|---|
| 1598 | |
|---|
| 1599 | IF ( ABS( v(k+1,j,i) - surf_def_h(0)%v_0(m) ) > & |
|---|
| 1600 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
|---|
| 1601 | ) surf_def_h(0)%v_0(m) = v(k-1,j,i) |
|---|
| 1602 | |
|---|
| 1603 | ENDDO |
|---|
| 1604 | ! |
|---|
| 1605 | !-- Default surfaces, downward-facing surfaces |
|---|
| 1606 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
|---|
| 1607 | DO m = 1, surf_def_h(1)%ns |
|---|
| 1608 | |
|---|
| 1609 | i = surf_def_h(1)%i(m) |
|---|
| 1610 | j = surf_def_h(1)%j(m) |
|---|
| 1611 | k = surf_def_h(1)%k(m) |
|---|
| 1612 | |
|---|
| 1613 | surf_def_h(1)%u_0(m) = u(k-1,j,i) - surf_def_h(1)%usws(m) * & |
|---|
| 1614 | drho_air_zw(k-1) * & |
|---|
| 1615 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1616 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1617 | surf_def_h(1)%v_0(m) = v(k-1,j,i) - surf_def_h(1)%vsws(m) * & |
|---|
| 1618 | drho_air_zw(k-1) * & |
|---|
| 1619 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1620 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1621 | |
|---|
| 1622 | IF ( ABS( surf_def_h(1)%u_0(m) - u(k-1,j,i) ) > & |
|---|
| 1623 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
|---|
| 1624 | ) surf_def_h(1)%u_0(m) = u(k+1,j,i) |
|---|
| 1625 | |
|---|
| 1626 | IF ( ABS( surf_def_h(1)%v_0(m) - v(k-1,j,i) ) > & |
|---|
| 1627 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
|---|
| 1628 | ) surf_def_h(1)%v_0(m) = v(k+1,j,i) |
|---|
| 1629 | |
|---|
| 1630 | ENDDO |
|---|
| 1631 | ! |
|---|
| 1632 | !-- Natural surfaces, upward-facing |
|---|
| 1633 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
|---|
| 1634 | DO m = 1, surf_lsm_h%ns |
|---|
| 1635 | |
|---|
| 1636 | i = surf_lsm_h%i(m) |
|---|
| 1637 | j = surf_lsm_h%j(m) |
|---|
| 1638 | k = surf_lsm_h%k(m) |
|---|
| 1639 | ! |
|---|
| 1640 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
|---|
| 1641 | !-- and km are not on the same grid. Actually, a further |
|---|
| 1642 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
|---|
| 1643 | !-- effect of this error is negligible. |
|---|
| 1644 | surf_lsm_h%u_0(m) = u(k+1,j,i) + surf_lsm_h%usws(m) * & |
|---|
| 1645 | drho_air_zw(k-1) * & |
|---|
| 1646 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1647 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1648 | surf_lsm_h%v_0(m) = v(k+1,j,i) + surf_lsm_h%vsws(m) * & |
|---|
| 1649 | drho_air_zw(k-1) * & |
|---|
| 1650 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1651 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1652 | |
|---|
| 1653 | IF ( ABS( u(k+1,j,i) - surf_lsm_h%u_0(m) ) > & |
|---|
| 1654 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
|---|
| 1655 | ) surf_lsm_h%u_0(m) = u(k-1,j,i) |
|---|
| 1656 | |
|---|
| 1657 | IF ( ABS( v(k+1,j,i) - surf_lsm_h%v_0(m) ) > & |
|---|
| 1658 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
|---|
| 1659 | ) surf_lsm_h%v_0(m) = v(k-1,j,i) |
|---|
| 1660 | |
|---|
| 1661 | ENDDO |
|---|
| 1662 | ! |
|---|
| 1663 | !-- Urban surfaces, upward-facing |
|---|
| 1664 | !$OMP PARALLEL DO PRIVATE(i,j,k,m) |
|---|
| 1665 | DO m = 1, surf_usm_h%ns |
|---|
| 1666 | |
|---|
| 1667 | i = surf_usm_h%i(m) |
|---|
| 1668 | j = surf_usm_h%j(m) |
|---|
| 1669 | k = surf_usm_h%k(m) |
|---|
| 1670 | ! |
|---|
| 1671 | !-- Note, calculatione of u_0 and v_0 is not fully accurate, as u/v |
|---|
| 1672 | !-- and km are not on the same grid. Actually, a further |
|---|
| 1673 | !-- interpolation of km onto the u/v-grid is necessary. However, the |
|---|
| 1674 | !-- effect of this error is negligible. |
|---|
| 1675 | surf_usm_h%u_0(m) = u(k+1,j,i) + surf_usm_h%usws(m) * & |
|---|
| 1676 | drho_air_zw(k-1) * & |
|---|
| 1677 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1678 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1679 | surf_usm_h%v_0(m) = v(k+1,j,i) + surf_usm_h%vsws(m) * & |
|---|
| 1680 | drho_air_zw(k-1) * & |
|---|
| 1681 | ( zu(k+1) - zu(k-1) ) / & |
|---|
| 1682 | ( km(k,j,i) + 1.0E-20_wp ) |
|---|
| 1683 | |
|---|
| 1684 | IF ( ABS( u(k+1,j,i) - surf_usm_h%u_0(m) ) > & |
|---|
| 1685 | ABS( u(k+1,j,i) - u(k-1,j,i) ) & |
|---|
| 1686 | ) surf_usm_h%u_0(m) = u(k-1,j,i) |
|---|
| 1687 | |
|---|
| 1688 | IF ( ABS( v(k+1,j,i) - surf_usm_h%v_0(m) ) > & |
|---|
| 1689 | ABS( v(k+1,j,i) - v(k-1,j,i) ) & |
|---|
| 1690 | ) surf_usm_h%v_0(m) = v(k-1,j,i) |
|---|
| 1691 | |
|---|
| 1692 | ENDDO |
|---|
| 1693 | |
|---|
| 1694 | ENDIF |
|---|
| 1695 | |
|---|
| 1696 | END SUBROUTINE production_e_init |
|---|
| 1697 | |
|---|
| 1698 | END MODULE production_e_mod |
|---|
