| 1 | !> @file advec_ws.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of the PALM model system. |
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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 1997-2018 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: advec_ws.f90 3467 2018-10-30 19:05:21Z suehring $ |
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| 27 | ! Implementation of a new aerosol module salsa. |
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| 28 | ! |
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| 29 | ! 3302 2018-10-03 02:39:40Z raasch |
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| 30 | ! Stokes drift velocity added in scalar advection |
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| 31 | ! |
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| 32 | ! 3298 2018-10-02 12:21:11Z kanani |
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| 33 | ! Add formatted note from ketelsen about statistics for chemistry |
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| 34 | ! |
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| 35 | ! 3294 2018-10-01 02:37:10Z raasch |
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| 36 | ! ocean renamed ocean_mode |
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| 37 | ! |
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| 38 | ! 3274 2018-09-24 15:42:55Z knoop |
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| 39 | ! Modularization of all bulk cloud physics code components |
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| 40 | ! |
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| 41 | ! 3241 2018-09-12 15:02:00Z raasch |
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| 42 | ! unused variables removed |
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| 43 | ! |
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| 44 | ! 3183 2018-07-27 14:25:55Z suehring |
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| 45 | ! Rename variables for boundary-condition flags and for offline nesting mode |
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| 46 | ! |
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| 47 | ! 3182 2018-07-27 13:36:03Z suehring |
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| 48 | ! Bugfix in calculation of left-sided fluxes for u-component in OpenMP case. |
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| 49 | ! |
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| 50 | ! 2731 2018-01-09 17:44:02Z suehring |
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| 51 | ! Enable loop vectorization by splitting the k-loop |
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| 52 | ! |
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| 53 | ! 2718 2018-01-02 08:49:38Z maronga |
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| 54 | ! Corrected "Former revisions" section |
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| 55 | ! |
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| 56 | ! 2696 2017-12-14 17:12:51Z kanani |
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| 57 | ! Change in file header (GPL part) |
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| 58 | ! Implement advection for TKE-dissipation in case of RANS-TKE-e closure (TG) |
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| 59 | ! Allocate advc_flags_1/2 within ws_init_flags instead of init_grid |
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| 60 | ! Change argument list for exchange_horiz_2d_int (MS) |
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| 61 | ! |
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| 62 | ! 2329 2017-08-03 14:24:56Z knoop |
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| 63 | ! Bugfix concerning density in divergence correction close to buildings |
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| 64 | ! |
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| 65 | ! 2292 2017-06-20 09:51:42Z schwenkel |
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| 66 | ! Implementation of new microphysic scheme: cloud_scheme = 'morrison' |
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| 67 | ! includes two more prognostic equations for cloud drop concentration (nc) |
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| 68 | ! and cloud water content (qc). |
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| 69 | ! |
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| 70 | ! 2233 2017-05-30 18:08:54Z suehring |
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| 71 | ! |
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| 72 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 73 | ! Rename wall_flags_0 and wall_flags_00 into advc_flags_1 and advc_flags_2, |
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| 74 | ! respectively. |
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| 75 | ! Set advc_flags_1/2 on basis of wall_flags_0/00 instead of nzb_s/u/v/w_inner. |
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| 76 | ! Setting advc_flags_1/2 also for downward-facing walls |
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| 77 | ! |
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| 78 | ! 2200 2017-04-11 11:37:51Z suehring |
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| 79 | ! monotonic_adjustment removed |
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| 80 | ! |
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| 81 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 82 | ! OpenACC version of subroutines removed |
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| 83 | ! |
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| 84 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 85 | ! Anelastic approximation implemented |
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| 86 | ! |
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| 87 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 88 | ! Forced header and separation lines into 80 columns |
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| 89 | ! |
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| 90 | ! 1996 2016-08-18 11:42:29Z suehring |
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| 91 | ! Bugfix concerning calculation of turbulent of turbulent fluxes |
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| 92 | ! |
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| 93 | ! 1960 2016-07-12 16:34:24Z suehring |
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| 94 | ! Separate humidity and passive scalar |
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| 95 | ! |
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| 96 | ! 1942 2016-06-14 12:18:18Z suehring |
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| 97 | ! Initialization of flags for ws-scheme moved from init_grid. |
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| 98 | ! |
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| 99 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 100 | ! Module renamed (removed _mod) |
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| 101 | ! |
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| 102 | ! |
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| 103 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 104 | ! Module renamed |
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| 105 | ! |
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| 106 | ! |
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| 107 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 108 | ! icloud_scheme removed, microphysics_seifert added |
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| 109 | ! |
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| 110 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 111 | ! Code annotations made doxygen readable |
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| 112 | ! |
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| 113 | ! 1630 2015-08-26 16:57:23Z suehring |
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| 114 | ! |
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| 115 | ! |
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| 116 | ! 1629 2015-08-26 16:56:11Z suehring |
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| 117 | ! Bugfix concerning wall_flags at left and south PE boundaries |
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| 118 | ! |
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| 119 | ! 1581 2015-04-10 13:45:59Z suehring |
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| 120 | ! |
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| 121 | ! |
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| 122 | ! 1580 2015-04-10 13:43:49Z suehring |
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| 123 | ! Bugfix: statistical evaluation of scalar fluxes in case of monotonic limiter |
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| 124 | ! |
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| 125 | ! 1567 2015-03-10 17:57:55Z suehring |
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| 126 | ! Bugfixes in monotonic limiter. |
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| 127 | ! |
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| 128 | ! 2015-03-09 13:10:37Z heinze |
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| 129 | ! Bugfix: REAL constants provided with KIND-attribute in call of |
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| 130 | ! intrinsic functions like MAX and MIN |
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| 131 | ! |
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| 132 | ! 1557 2015-03-05 16:43:04Z suehring |
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| 133 | ! Enable monotone advection for scalars using monotonic limiter |
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| 134 | ! |
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| 135 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 136 | ! missing variables added to ONLY list |
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| 137 | ! |
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| 138 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 139 | ! accelerator and vector version for qr and nr added |
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| 140 | ! |
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| 141 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 142 | ! REAL constants provided with KIND-attribute, |
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| 143 | ! module kinds added |
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| 144 | ! some formatting adjustments |
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| 145 | ! |
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| 146 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 147 | ! REAL constants defined as wp-kind |
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| 148 | ! |
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| 149 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 150 | ! ONLY-attribute added to USE-statements, |
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| 151 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 152 | ! kinds are defined in new module kinds, |
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| 153 | ! old module precision_kind is removed, |
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| 154 | ! revision history before 2012 removed, |
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| 155 | ! comment fields (!:) to be used for variable explanations added to |
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| 156 | ! all variable declaration statements |
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| 157 | ! |
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| 158 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 159 | ! accelerator loop directives removed |
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| 160 | ! |
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| 161 | ! 1221 2013-09-10 08:59:13Z raasch |
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| 162 | ! wall_flags_00 introduced, which holds bits 32-... |
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| 163 | ! |
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| 164 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 165 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 166 | ! j_north |
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| 167 | ! |
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| 168 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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| 169 | ! calculation of qr and nr is restricted to precipitation |
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| 170 | ! |
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| 171 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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| 172 | ! necessary expansions according to the two new prognostic equations (nr, qr) |
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| 173 | ! of the two-moment cloud physics scheme: |
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| 174 | ! +flux_l_*, flux_s_*, diss_l_*, diss_s_*, sums_ws*s_ws_l |
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| 175 | ! |
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| 176 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 177 | ! code put under GPL (PALM 3.9) |
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| 178 | ! |
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| 179 | ! 1027 2012-10-15 17:18:39Z suehring |
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| 180 | ! Bugfix in calculation indices k_mm, k_pp in accelerator version |
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| 181 | ! |
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| 182 | ! 1019 2012-09-28 06:46:45Z raasch |
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| 183 | ! small change in comment lines |
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| 184 | ! |
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| 185 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 186 | ! accelerator versions (*_acc) added |
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| 187 | ! |
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| 188 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 189 | ! cpp switch __nopointer added for pointer free version |
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| 190 | ! |
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| 191 | ! 888 2012-04-20 15:03:46Z suehring |
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| 192 | ! Number of IBITS() calls with identical arguments is reduced. |
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| 193 | ! |
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| 194 | ! 862 2012-03-26 14:21:38Z suehring |
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| 195 | ! ws-scheme also work with topography in combination with vector version. |
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| 196 | ! ws-scheme also work with outflow boundaries in combination with |
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| 197 | ! vector version. |
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| 198 | ! Degradation of the applied order of scheme is now steered by multiplying with |
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| 199 | ! Integer advc_flags_1. 2nd order scheme, WS3 and WS5 are calculated on each |
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| 200 | ! grid point and mulitplied with the appropriate flag. |
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| 201 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
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| 202 | ! term derived according to the 4th and 6th order terms is applied. It turns |
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| 203 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
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| 204 | ! Therefore, the function diss_2nd is removed. |
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| 205 | ! Near walls a divergence correction is necessary to overcome numerical |
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| 206 | ! instabilities due to too less divergence reduction of the velocity field. |
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| 207 | ! boundary_flags and logicals steering the degradation are removed. |
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| 208 | ! Empty SUBROUTINE local_diss removed. |
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| 209 | ! Further formatting adjustments. |
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| 210 | ! |
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| 211 | ! 801 2012-01-10 17:30:36Z suehring |
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| 212 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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| 213 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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| 214 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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| 215 | ! dimension. |
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| 216 | ! |
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| 217 | ! Initial revision |
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| 218 | ! |
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| 219 | ! 411 2009-12-11 12:31:43 Z suehring |
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| 220 | ! |
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| 221 | ! Description: |
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| 222 | ! ------------ |
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| 223 | !> Advection scheme for scalars and momentum using the flux formulation of |
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| 224 | !> Wicker and Skamarock 5th order. Additionally the module contains of a |
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| 225 | !> routine using for initialisation and steering of the statical evaluation. |
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| 226 | !> The computation of turbulent fluxes takes place inside the advection |
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| 227 | !> routines. |
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| 228 | !> Near non-cyclic boundaries the order of the applied advection scheme is |
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| 229 | !> degraded. |
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| 230 | !> A divergence correction is applied. It is necessary for topography, since |
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| 231 | !> the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
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| 232 | !> partly numerical instabilities. |
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| 233 | !-----------------------------------------------------------------------------! |
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| 234 | MODULE advec_ws |
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| 235 | |
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| 236 | USE kinds |
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| 237 | |
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| 238 | IMPLICIT NONE |
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| 239 | |
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| 240 | REAL(wp) :: adv_mom_1 !< 1/4 - constant used in 5th-order advection scheme for momentum advection (1st-order part) |
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| 241 | REAL(wp) :: adv_mom_3 !< 1/24 - constant used in 5th-order advection scheme for momentum advection (3rd-order part) |
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| 242 | REAL(wp) :: adv_mom_5 !< 1/120 - constant used in 5th-order advection scheme for momentum advection (5th-order part) |
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| 243 | REAL(wp) :: adv_sca_1 !< 1/2 - constant used in 5th-order advection scheme for scalar advection (1st-order part) |
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| 244 | REAL(wp) :: adv_sca_3 !< 1/12 - constant used in 5th-order advection scheme for scalar advection (3rd-order part) |
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| 245 | REAL(wp) :: adv_sca_5 !< 1/60 - constant used in 5th-order advection scheme for scalar advection (5th-order part) |
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| 246 | |
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| 247 | PRIVATE |
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| 248 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, ws_init, & |
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| 249 | ws_init_flags, ws_statistics |
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| 250 | |
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| 251 | INTERFACE ws_init |
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| 252 | MODULE PROCEDURE ws_init |
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| 253 | END INTERFACE ws_init |
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| 254 | |
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| 255 | INTERFACE ws_init_flags |
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| 256 | MODULE PROCEDURE ws_init_flags |
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| 257 | END INTERFACE ws_init_flags |
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| 258 | |
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| 259 | INTERFACE ws_statistics |
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| 260 | MODULE PROCEDURE ws_statistics |
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| 261 | END INTERFACE ws_statistics |
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| 262 | |
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| 263 | INTERFACE advec_s_ws |
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| 264 | MODULE PROCEDURE advec_s_ws |
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| 265 | MODULE PROCEDURE advec_s_ws_ij |
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| 266 | END INTERFACE advec_s_ws |
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| 267 | |
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| 268 | INTERFACE advec_u_ws |
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| 269 | MODULE PROCEDURE advec_u_ws |
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| 270 | MODULE PROCEDURE advec_u_ws_ij |
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| 271 | END INTERFACE advec_u_ws |
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| 272 | |
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| 273 | INTERFACE advec_v_ws |
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| 274 | MODULE PROCEDURE advec_v_ws |
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| 275 | MODULE PROCEDURE advec_v_ws_ij |
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| 276 | END INTERFACE advec_v_ws |
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| 277 | |
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| 278 | INTERFACE advec_w_ws |
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| 279 | MODULE PROCEDURE advec_w_ws |
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| 280 | MODULE PROCEDURE advec_w_ws_ij |
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| 281 | END INTERFACE advec_w_ws |
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| 282 | |
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| 283 | CONTAINS |
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| 284 | |
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| 285 | |
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| 286 | !------------------------------------------------------------------------------! |
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| 287 | ! Description: |
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| 288 | ! ------------ |
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| 289 | !> Initialization of WS-scheme |
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| 290 | !------------------------------------------------------------------------------! |
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| 291 | SUBROUTINE ws_init |
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| 292 | |
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| 293 | USE arrays_3d, & |
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| 294 | ONLY: diss_l_diss, diss_l_e, diss_l_nc, diss_l_nr, diss_l_pt, & |
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| 295 | diss_l_q, diss_l_qc, diss_l_qr, diss_l_s, diss_l_sa, & |
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| 296 | diss_l_u, diss_l_v, diss_l_w, flux_l_diss, flux_l_e, & |
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| 297 | flux_l_nc, flux_l_nr, flux_l_pt, flux_l_q, flux_l_qc, & |
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| 298 | flux_l_qr, flux_l_s, flux_l_sa, flux_l_u, flux_l_v, & |
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| 299 | flux_l_w, diss_s_diss, diss_s_e, diss_s_nc, diss_s_nr, & |
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| 300 | diss_s_pt, diss_s_q, diss_s_qc, diss_s_qr, diss_s_s, & |
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| 301 | diss_s_sa, diss_s_u, diss_s_v, diss_s_w, flux_s_diss, & |
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| 302 | flux_s_e, flux_s_nc, flux_s_nr, flux_s_pt, flux_s_q, & |
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| 303 | flux_s_qc, flux_s_qr, flux_s_s, flux_s_sa, flux_s_u, & |
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| 304 | flux_s_v, flux_s_w |
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| 305 | |
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| 306 | USE control_parameters, & |
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| 307 | ONLY: humidity, loop_optimization, passive_scalar, ocean_mode, & |
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| 308 | rans_tke_e, ws_scheme_mom, ws_scheme_sca |
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| 309 | |
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| 310 | USE indices, & |
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| 311 | ONLY: nyn, nys, nzb, nzt |
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| 312 | |
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| 313 | USE kinds |
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| 314 | |
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| 315 | USE bulk_cloud_model_mod, & |
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| 316 | ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert |
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| 317 | |
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| 318 | USE pegrid |
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| 319 | |
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| 320 | USE salsa_util_mod, & |
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| 321 | ONLY: sums_salsa_ws_l |
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| 322 | |
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| 323 | USE statistics, & |
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| 324 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsncs_ws_l,& |
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| 325 | sums_wsnrs_ws_l,sums_wspts_ws_l, sums_wsqcs_ws_l, & |
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| 326 | sums_wsqrs_ws_l, sums_wsqs_ws_l, sums_wsss_ws_l, & |
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| 327 | sums_wssas_ws_l, sums_wsss_ws_l, sums_wsus_ws_l, & |
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| 328 | sums_wsvs_ws_l |
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| 329 | |
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| 330 | |
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| 331 | ! |
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| 332 | !-- Set the appropriate factors for scalar and momentum advection. |
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| 333 | adv_sca_5 = 1.0_wp / 60.0_wp |
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| 334 | adv_sca_3 = 1.0_wp / 12.0_wp |
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| 335 | adv_sca_1 = 1.0_wp / 2.0_wp |
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| 336 | adv_mom_5 = 1.0_wp / 120.0_wp |
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| 337 | adv_mom_3 = 1.0_wp / 24.0_wp |
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| 338 | adv_mom_1 = 1.0_wp / 4.0_wp |
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| 339 | ! |
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| 340 | !-- Arrays needed for statical evaluation of fluxes. |
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| 341 | IF ( ws_scheme_mom ) THEN |
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| 342 | |
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| 343 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 344 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 345 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 346 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 347 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 348 | |
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| 349 | sums_wsus_ws_l = 0.0_wp |
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| 350 | sums_wsvs_ws_l = 0.0_wp |
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| 351 | sums_us2_ws_l = 0.0_wp |
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| 352 | sums_vs2_ws_l = 0.0_wp |
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| 353 | sums_ws2_ws_l = 0.0_wp |
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| 354 | |
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| 355 | ENDIF |
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| 356 | |
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| 357 | IF ( ws_scheme_sca ) THEN |
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| 358 | |
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| 359 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 360 | sums_wspts_ws_l = 0.0_wp |
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| 361 | |
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| 362 | IF ( humidity ) THEN |
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| 363 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 364 | sums_wsqs_ws_l = 0.0_wp |
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| 365 | ENDIF |
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| 366 | |
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| 367 | IF ( passive_scalar ) THEN |
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| 368 | ALLOCATE( sums_wsss_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 369 | sums_wsss_ws_l = 0.0_wp |
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| 370 | ENDIF |
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| 371 | |
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| 372 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
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| 373 | ALLOCATE( sums_wsqcs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 374 | ALLOCATE( sums_wsncs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 375 | sums_wsqcs_ws_l = 0.0_wp |
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| 376 | sums_wsncs_ws_l = 0.0_wp |
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| 377 | ENDIF |
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| 378 | |
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| 379 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
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| 380 | ALLOCATE( sums_wsqrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 381 | ALLOCATE( sums_wsnrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 382 | sums_wsqrs_ws_l = 0.0_wp |
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| 383 | sums_wsnrs_ws_l = 0.0_wp |
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| 384 | ENDIF |
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| 385 | |
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| 386 | IF ( ocean_mode ) THEN |
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| 387 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 388 | sums_wssas_ws_l = 0.0_wp |
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| 389 | ENDIF |
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| 390 | ! |
|---|
| 391 | !-- Mona: Now always allocated |
|---|
| 392 | ALLOCATE( sums_salsa_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
|---|
| 393 | sums_salsa_ws_l = 0.0_wp |
|---|
| 394 | |
|---|
| 395 | ENDIF |
|---|
| 396 | |
|---|
| 397 | ! |
|---|
| 398 | !-- Arrays needed for reasons of speed optimization for cache version. |
|---|
| 399 | !-- For the vector version the buffer arrays are not necessary, |
|---|
| 400 | !-- because the the fluxes can swapped directly inside the loops of the |
|---|
| 401 | !-- advection routines. |
|---|
| 402 | IF ( loop_optimization /= 'vector' ) THEN |
|---|
| 403 | |
|---|
| 404 | IF ( ws_scheme_mom ) THEN |
|---|
| 405 | |
|---|
| 406 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 407 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 408 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 409 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 410 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 411 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 412 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 413 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 414 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 415 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 416 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 417 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 418 | |
|---|
| 419 | ENDIF |
|---|
| 420 | |
|---|
| 421 | IF ( ws_scheme_sca ) THEN |
|---|
| 422 | |
|---|
| 423 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 424 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 425 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 426 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 427 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 428 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 429 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 430 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 431 | |
|---|
| 432 | IF ( rans_tke_e ) THEN |
|---|
| 433 | ALLOCATE( flux_s_diss(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 434 | diss_s_diss(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 435 | ALLOCATE( flux_l_diss(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 436 | diss_l_diss(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 437 | ENDIF |
|---|
| 438 | |
|---|
| 439 | IF ( humidity ) THEN |
|---|
| 440 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 441 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 442 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 443 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 444 | ENDIF |
|---|
| 445 | |
|---|
| 446 | IF ( passive_scalar ) THEN |
|---|
| 447 | ALLOCATE( flux_s_s(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 448 | diss_s_s(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 449 | ALLOCATE( flux_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 450 | diss_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 451 | ENDIF |
|---|
| 452 | |
|---|
| 453 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
|---|
| 454 | ALLOCATE( flux_s_qc(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 455 | diss_s_qc(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 456 | flux_s_nc(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 457 | diss_s_nc(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 458 | ALLOCATE( flux_l_qc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 459 | diss_l_qc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 460 | flux_l_nc(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 461 | diss_l_nc(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 462 | ENDIF |
|---|
| 463 | |
|---|
| 464 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
|---|
| 465 | ALLOCATE( flux_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 466 | diss_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 467 | flux_s_nr(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 468 | diss_s_nr(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 469 | ALLOCATE( flux_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 470 | diss_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 471 | flux_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 472 | diss_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 473 | ENDIF |
|---|
| 474 | |
|---|
| 475 | IF ( ocean_mode ) THEN |
|---|
| 476 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 477 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 478 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 479 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 480 | ENDIF |
|---|
| 481 | |
|---|
| 482 | ENDIF |
|---|
| 483 | |
|---|
| 484 | ENDIF |
|---|
| 485 | |
|---|
| 486 | END SUBROUTINE ws_init |
|---|
| 487 | |
|---|
| 488 | !------------------------------------------------------------------------------! |
|---|
| 489 | ! Description: |
|---|
| 490 | ! ------------ |
|---|
| 491 | !> Initialization of flags for WS-scheme used to degrade the order of the scheme |
|---|
| 492 | !> near walls. |
|---|
| 493 | !------------------------------------------------------------------------------! |
|---|
| 494 | SUBROUTINE ws_init_flags |
|---|
| 495 | |
|---|
| 496 | USE control_parameters, & |
|---|
| 497 | ONLY: bc_dirichlet_l, bc_dirichlet_n, bc_dirichlet_r, & |
|---|
| 498 | bc_dirichlet_s, bc_radiation_l, bc_radiation_n, & |
|---|
| 499 | bc_radiation_r, bc_radiation_s, momentum_advec, scalar_advec |
|---|
| 500 | |
|---|
| 501 | USE indices, & |
|---|
| 502 | ONLY: advc_flags_1, advc_flags_2, nbgp, nxl, nxlg, nxlu, nxr, nxrg,& |
|---|
| 503 | nyn, nyng, nys, nysg, nysv, nzb, nzt, wall_flags_0 |
|---|
| 504 | |
|---|
| 505 | USE kinds |
|---|
| 506 | |
|---|
| 507 | IMPLICIT NONE |
|---|
| 508 | |
|---|
| 509 | INTEGER(iwp) :: i !< index variable along x |
|---|
| 510 | INTEGER(iwp) :: j !< index variable along y |
|---|
| 511 | INTEGER(iwp) :: k !< index variable along z |
|---|
| 512 | INTEGER(iwp) :: k_mm !< dummy index along z |
|---|
| 513 | INTEGER(iwp) :: k_pp !< dummy index along z |
|---|
| 514 | INTEGER(iwp) :: k_ppp !< dummy index along z |
|---|
| 515 | |
|---|
| 516 | LOGICAL :: flag_set !< steering variable for advection flags |
|---|
| 517 | |
|---|
| 518 | ALLOCATE( advc_flags_1(nzb:nzt+1,nysg:nyng,nxlg:nxrg), & |
|---|
| 519 | advc_flags_2(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 520 | advc_flags_1 = 0 |
|---|
| 521 | advc_flags_2 = 0 |
|---|
| 522 | IF ( scalar_advec == 'ws-scheme' ) THEN |
|---|
| 523 | ! |
|---|
| 524 | !-- Set flags to steer the degradation of the advection scheme in advec_ws |
|---|
| 525 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
|---|
| 526 | !-- top of model domain. advc_flags_1 remains zero for all non-prognostic |
|---|
| 527 | !-- grid points. |
|---|
| 528 | DO i = nxl, nxr |
|---|
| 529 | DO j = nys, nyn |
|---|
| 530 | DO k = nzb+1, nzt |
|---|
| 531 | ! |
|---|
| 532 | !-- scalar - x-direction |
|---|
| 533 | !-- WS1 (0), WS3 (1), WS5 (2) |
|---|
| 534 | IF ( ( .NOT. BTEST(wall_flags_0(k,j,i+1),0) & |
|---|
| 535 | .OR. .NOT. BTEST(wall_flags_0(k,j,i+2),0) & |
|---|
| 536 | .OR. .NOT. BTEST(wall_flags_0(k,j,i-1),0) ) & |
|---|
| 537 | .OR. ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 538 | .AND. i == nxl ) & |
|---|
| 539 | .OR. ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 540 | .AND. i == nxr ) ) & |
|---|
| 541 | THEN |
|---|
| 542 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 0 ) |
|---|
| 543 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+3),0) & |
|---|
| 544 | .AND. BTEST(wall_flags_0(k,j,i+1),0) & |
|---|
| 545 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
|---|
| 546 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
|---|
| 547 | ) .OR. & |
|---|
| 548 | ( .NOT. BTEST(wall_flags_0(k,j,i-2),0) & |
|---|
| 549 | .AND. BTEST(wall_flags_0(k,j,i+1),0) & |
|---|
| 550 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
|---|
| 551 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
|---|
| 552 | ) & |
|---|
| 553 | .OR. & |
|---|
| 554 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 555 | .AND. i == nxr-1 ) .OR. & |
|---|
| 556 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 557 | .AND. i == nxlu ) ) & ! why not nxl+1 |
|---|
| 558 | THEN |
|---|
| 559 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 1 ) |
|---|
| 560 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),0) & |
|---|
| 561 | .AND. BTEST(wall_flags_0(k,j,i+2),0) & |
|---|
| 562 | .AND. BTEST(wall_flags_0(k,j,i+3),0) & |
|---|
| 563 | .AND. BTEST(wall_flags_0(k,j,i-1),0) & |
|---|
| 564 | .AND. BTEST(wall_flags_0(k,j,i-2),0) ) & |
|---|
| 565 | THEN |
|---|
| 566 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 2 ) |
|---|
| 567 | ENDIF |
|---|
| 568 | ! |
|---|
| 569 | !-- scalar - y-direction |
|---|
| 570 | !-- WS1 (3), WS3 (4), WS5 (5) |
|---|
| 571 | IF ( ( .NOT. BTEST(wall_flags_0(k,j+1,i),0) & |
|---|
| 572 | .OR. .NOT. BTEST(wall_flags_0(k,j+2,i),0) & |
|---|
| 573 | .OR. .NOT. BTEST(wall_flags_0(k,j-1,i),0)) & |
|---|
| 574 | .OR. ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 575 | .AND. j == nys ) & |
|---|
| 576 | .OR. ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 577 | .AND. j == nyn ) ) & |
|---|
| 578 | THEN |
|---|
| 579 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 3 ) |
|---|
| 580 | ! |
|---|
| 581 | !-- WS3 |
|---|
| 582 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+3,i),0) & |
|---|
| 583 | .AND. BTEST(wall_flags_0(k,j+1,i),0) & |
|---|
| 584 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
|---|
| 585 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
|---|
| 586 | ) .OR. & |
|---|
| 587 | ( .NOT. BTEST(wall_flags_0(k,j-2,i),0) & |
|---|
| 588 | .AND. BTEST(wall_flags_0(k,j+1,i),0) & |
|---|
| 589 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
|---|
| 590 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
|---|
| 591 | ) & |
|---|
| 592 | .OR. & |
|---|
| 593 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 594 | .AND. j == nysv ) .OR. & ! why not nys+1 |
|---|
| 595 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 596 | .AND. j == nyn-1 ) ) & |
|---|
| 597 | THEN |
|---|
| 598 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 4 ) |
|---|
| 599 | ! |
|---|
| 600 | !-- WS5 |
|---|
| 601 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),0) & |
|---|
| 602 | .AND. BTEST(wall_flags_0(k,j+2,i),0) & |
|---|
| 603 | .AND. BTEST(wall_flags_0(k,j+3,i),0) & |
|---|
| 604 | .AND. BTEST(wall_flags_0(k,j-1,i),0) & |
|---|
| 605 | .AND. BTEST(wall_flags_0(k,j-2,i),0) ) & |
|---|
| 606 | THEN |
|---|
| 607 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 5 ) |
|---|
| 608 | ENDIF |
|---|
| 609 | ! |
|---|
| 610 | !-- scalar - z-direction |
|---|
| 611 | !-- WS1 (6), WS3 (7), WS5 (8) |
|---|
| 612 | IF ( k == nzb+1 ) THEN |
|---|
| 613 | k_mm = nzb |
|---|
| 614 | ELSE |
|---|
| 615 | k_mm = k - 2 |
|---|
| 616 | ENDIF |
|---|
| 617 | IF ( k > nzt-1 ) THEN |
|---|
| 618 | k_pp = nzt+1 |
|---|
| 619 | ELSE |
|---|
| 620 | k_pp = k + 2 |
|---|
| 621 | ENDIF |
|---|
| 622 | IF ( k > nzt-2 ) THEN |
|---|
| 623 | k_ppp = nzt+1 |
|---|
| 624 | ELSE |
|---|
| 625 | k_ppp = k + 3 |
|---|
| 626 | ENDIF |
|---|
| 627 | |
|---|
| 628 | flag_set = .FALSE. |
|---|
| 629 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),0) .AND. & |
|---|
| 630 | BTEST(wall_flags_0(k,j,i),0) .OR. & |
|---|
| 631 | .NOT. BTEST(wall_flags_0(k_pp,j,i),0) .AND. & |
|---|
| 632 | BTEST(wall_flags_0(k,j,i),0) .OR. & |
|---|
| 633 | k == nzt ) & |
|---|
| 634 | THEN |
|---|
| 635 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 6 ) |
|---|
| 636 | flag_set = .TRUE. |
|---|
| 637 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),0) .OR. & |
|---|
| 638 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),0) ) .AND. & |
|---|
| 639 | BTEST(wall_flags_0(k-1,j,i),0) .AND. & |
|---|
| 640 | BTEST(wall_flags_0(k,j,i),0) .AND. & |
|---|
| 641 | BTEST(wall_flags_0(k+1,j,i),0) .AND. & |
|---|
| 642 | BTEST(wall_flags_0(k_pp,j,i),0) .OR. & |
|---|
| 643 | k == nzt - 1 ) & |
|---|
| 644 | THEN |
|---|
| 645 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 7 ) |
|---|
| 646 | flag_set = .TRUE. |
|---|
| 647 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),0) & |
|---|
| 648 | .AND. BTEST(wall_flags_0(k-1,j,i),0) & |
|---|
| 649 | .AND. BTEST(wall_flags_0(k,j,i),0) & |
|---|
| 650 | .AND. BTEST(wall_flags_0(k+1,j,i),0) & |
|---|
| 651 | .AND. BTEST(wall_flags_0(k_pp,j,i),0) & |
|---|
| 652 | .AND. BTEST(wall_flags_0(k_ppp,j,i),0) & |
|---|
| 653 | .AND. .NOT. flag_set ) & |
|---|
| 654 | THEN |
|---|
| 655 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 8 ) |
|---|
| 656 | ENDIF |
|---|
| 657 | |
|---|
| 658 | ENDDO |
|---|
| 659 | ENDDO |
|---|
| 660 | ENDDO |
|---|
| 661 | ENDIF |
|---|
| 662 | |
|---|
| 663 | IF ( momentum_advec == 'ws-scheme' ) THEN |
|---|
| 664 | ! |
|---|
| 665 | !-- Set advc_flags_1 to steer the degradation of the advection scheme in advec_ws |
|---|
| 666 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
|---|
| 667 | !-- top of model domain. advc_flags_1 remains zero for all non-prognostic |
|---|
| 668 | !-- grid points. |
|---|
| 669 | DO i = nxl, nxr |
|---|
| 670 | DO j = nys, nyn |
|---|
| 671 | DO k = nzb+1, nzt |
|---|
| 672 | ! |
|---|
| 673 | !-- At first, set flags to WS1. |
|---|
| 674 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 675 | !-- in order to handle the left/south flux. |
|---|
| 676 | !-- near vertical walls. |
|---|
| 677 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 9 ) |
|---|
| 678 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 12 ) |
|---|
| 679 | ! |
|---|
| 680 | !-- u component - x-direction |
|---|
| 681 | !-- WS1 (9), WS3 (10), WS5 (11) |
|---|
| 682 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),1) .OR. & |
|---|
| 683 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 684 | .AND. i <= nxlu ) .OR. & |
|---|
| 685 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 686 | .AND. i == nxr ) ) & |
|---|
| 687 | THEN |
|---|
| 688 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 9 ) |
|---|
| 689 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),1) .AND. & |
|---|
| 690 | BTEST(wall_flags_0(k,j,i+1),1) .OR. & |
|---|
| 691 | .NOT. BTEST(wall_flags_0(k,j,i-1),1) ) & |
|---|
| 692 | .OR. & |
|---|
| 693 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 694 | .AND. i == nxr-1 ) .OR. & |
|---|
| 695 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 696 | .AND. i == nxlu+1) ) & |
|---|
| 697 | THEN |
|---|
| 698 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 10 ) |
|---|
| 699 | ! |
|---|
| 700 | !-- Clear flag for WS1 |
|---|
| 701 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 9 ) |
|---|
| 702 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),1) .AND. & |
|---|
| 703 | BTEST(wall_flags_0(k,j,i+2),1) .AND. & |
|---|
| 704 | BTEST(wall_flags_0(k,j,i-1),1) ) & |
|---|
| 705 | THEN |
|---|
| 706 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 11 ) |
|---|
| 707 | ! |
|---|
| 708 | !-- Clear flag for WS1 |
|---|
| 709 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 9 ) |
|---|
| 710 | ENDIF |
|---|
| 711 | ! |
|---|
| 712 | !-- u component - y-direction |
|---|
| 713 | !-- WS1 (12), WS3 (13), WS5 (14) |
|---|
| 714 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),1) .OR. & |
|---|
| 715 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 716 | .AND. j == nys ) .OR. & |
|---|
| 717 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 718 | .AND. j == nyn ) ) & |
|---|
| 719 | THEN |
|---|
| 720 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 12 ) |
|---|
| 721 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),1) .AND. & |
|---|
| 722 | BTEST(wall_flags_0(k,j+1,i),1) .OR. & |
|---|
| 723 | .NOT. BTEST(wall_flags_0(k,j-1,i),1) ) & |
|---|
| 724 | .OR. & |
|---|
| 725 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 726 | .AND. j == nysv ) .OR. & |
|---|
| 727 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 728 | .AND. j == nyn-1 ) ) & |
|---|
| 729 | THEN |
|---|
| 730 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 13 ) |
|---|
| 731 | ! |
|---|
| 732 | !-- Clear flag for WS1 |
|---|
| 733 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 12 ) |
|---|
| 734 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),1) .AND. & |
|---|
| 735 | BTEST(wall_flags_0(k,j+2,i),1) .AND. & |
|---|
| 736 | BTEST(wall_flags_0(k,j-1,i),1) ) & |
|---|
| 737 | THEN |
|---|
| 738 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 14 ) |
|---|
| 739 | ! |
|---|
| 740 | !-- Clear flag for WS1 |
|---|
| 741 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 12 ) |
|---|
| 742 | ENDIF |
|---|
| 743 | ! |
|---|
| 744 | !-- u component - z-direction |
|---|
| 745 | !-- WS1 (15), WS3 (16), WS5 (17) |
|---|
| 746 | IF ( k == nzb+1 ) THEN |
|---|
| 747 | k_mm = nzb |
|---|
| 748 | ELSE |
|---|
| 749 | k_mm = k - 2 |
|---|
| 750 | ENDIF |
|---|
| 751 | IF ( k > nzt-1 ) THEN |
|---|
| 752 | k_pp = nzt+1 |
|---|
| 753 | ELSE |
|---|
| 754 | k_pp = k + 2 |
|---|
| 755 | ENDIF |
|---|
| 756 | IF ( k > nzt-2 ) THEN |
|---|
| 757 | k_ppp = nzt+1 |
|---|
| 758 | ELSE |
|---|
| 759 | k_ppp = k + 3 |
|---|
| 760 | ENDIF |
|---|
| 761 | |
|---|
| 762 | flag_set = .FALSE. |
|---|
| 763 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
|---|
| 764 | BTEST(wall_flags_0(k,j,i),1) .OR. & |
|---|
| 765 | .NOT. BTEST(wall_flags_0(k_pp,j,i),1) .AND. & |
|---|
| 766 | BTEST(wall_flags_0(k,j,i),1) .OR. & |
|---|
| 767 | k == nzt ) & |
|---|
| 768 | THEN |
|---|
| 769 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 15 ) |
|---|
| 770 | flag_set = .TRUE. |
|---|
| 771 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),1) .OR. & |
|---|
| 772 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),1) ) .AND. & |
|---|
| 773 | BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
|---|
| 774 | BTEST(wall_flags_0(k,j,i),1) .AND. & |
|---|
| 775 | BTEST(wall_flags_0(k+1,j,i),1) .AND. & |
|---|
| 776 | BTEST(wall_flags_0(k_pp,j,i),1) .OR. & |
|---|
| 777 | k == nzt - 1 ) & |
|---|
| 778 | THEN |
|---|
| 779 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 16 ) |
|---|
| 780 | flag_set = .TRUE. |
|---|
| 781 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),1) .AND. & |
|---|
| 782 | BTEST(wall_flags_0(k-1,j,i),1) .AND. & |
|---|
| 783 | BTEST(wall_flags_0(k,j,i),1) .AND. & |
|---|
| 784 | BTEST(wall_flags_0(k+1,j,i),1) .AND. & |
|---|
| 785 | BTEST(wall_flags_0(k_pp,j,i),1) .AND. & |
|---|
| 786 | BTEST(wall_flags_0(k_ppp,j,i),1) .AND. & |
|---|
| 787 | .NOT. flag_set ) & |
|---|
| 788 | THEN |
|---|
| 789 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 17 ) |
|---|
| 790 | ENDIF |
|---|
| 791 | |
|---|
| 792 | ENDDO |
|---|
| 793 | ENDDO |
|---|
| 794 | ENDDO |
|---|
| 795 | |
|---|
| 796 | DO i = nxl, nxr |
|---|
| 797 | DO j = nys, nyn |
|---|
| 798 | DO k = nzb+1, nzt |
|---|
| 799 | ! |
|---|
| 800 | !-- At first, set flags to WS1. |
|---|
| 801 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 802 | !-- in order to handle the left/south flux. |
|---|
| 803 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 18 ) |
|---|
| 804 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 21 ) |
|---|
| 805 | ! |
|---|
| 806 | !-- v component - x-direction |
|---|
| 807 | !-- WS1 (18), WS3 (19), WS5 (20) |
|---|
| 808 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),2) .OR. & |
|---|
| 809 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 810 | .AND. i == nxl ) .OR. & |
|---|
| 811 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 812 | .AND. i == nxr ) ) & |
|---|
| 813 | THEN |
|---|
| 814 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 18 ) |
|---|
| 815 | ! |
|---|
| 816 | !-- WS3 |
|---|
| 817 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),2) .AND. & |
|---|
| 818 | BTEST(wall_flags_0(k,j,i+1),2) ) .OR. & |
|---|
| 819 | .NOT. BTEST(wall_flags_0(k,j,i-1),2) & |
|---|
| 820 | .OR. & |
|---|
| 821 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 822 | .AND. i == nxr-1 ) .OR. & |
|---|
| 823 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 824 | .AND. i == nxlu ) ) & |
|---|
| 825 | THEN |
|---|
| 826 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 19 ) |
|---|
| 827 | ! |
|---|
| 828 | !-- Clear flag for WS1 |
|---|
| 829 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 18 ) |
|---|
| 830 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),2) .AND. & |
|---|
| 831 | BTEST(wall_flags_0(k,j,i+2),2) .AND. & |
|---|
| 832 | BTEST(wall_flags_0(k,j,i-1),2) ) & |
|---|
| 833 | THEN |
|---|
| 834 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 20 ) |
|---|
| 835 | ! |
|---|
| 836 | !-- Clear flag for WS1 |
|---|
| 837 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 18 ) |
|---|
| 838 | ENDIF |
|---|
| 839 | ! |
|---|
| 840 | !-- v component - y-direction |
|---|
| 841 | !-- WS1 (21), WS3 (22), WS5 (23) |
|---|
| 842 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),2) .OR. & |
|---|
| 843 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 844 | .AND. j <= nysv ) .OR. & |
|---|
| 845 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 846 | .AND. j == nyn ) ) & |
|---|
| 847 | THEN |
|---|
| 848 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 21 ) |
|---|
| 849 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),2) .AND. & |
|---|
| 850 | BTEST(wall_flags_0(k,j+1,i),2) .OR. & |
|---|
| 851 | .NOT. BTEST(wall_flags_0(k,j-1,i),2) ) & |
|---|
| 852 | .OR. & |
|---|
| 853 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 854 | .AND. j == nysv+1) .OR. & |
|---|
| 855 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 856 | .AND. j == nyn-1 ) ) & |
|---|
| 857 | THEN |
|---|
| 858 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 22 ) |
|---|
| 859 | ! |
|---|
| 860 | !-- Clear flag for WS1 |
|---|
| 861 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 21 ) |
|---|
| 862 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),2) .AND. & |
|---|
| 863 | BTEST(wall_flags_0(k,j+2,i),2) .AND. & |
|---|
| 864 | BTEST(wall_flags_0(k,j-1,i),2) ) & |
|---|
| 865 | THEN |
|---|
| 866 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 23 ) |
|---|
| 867 | ! |
|---|
| 868 | !-- Clear flag for WS1 |
|---|
| 869 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 21 ) |
|---|
| 870 | ENDIF |
|---|
| 871 | ! |
|---|
| 872 | !-- v component - z-direction |
|---|
| 873 | !-- WS1 (24), WS3 (25), WS5 (26) |
|---|
| 874 | IF ( k == nzb+1 ) THEN |
|---|
| 875 | k_mm = nzb |
|---|
| 876 | ELSE |
|---|
| 877 | k_mm = k - 2 |
|---|
| 878 | ENDIF |
|---|
| 879 | IF ( k > nzt-1 ) THEN |
|---|
| 880 | k_pp = nzt+1 |
|---|
| 881 | ELSE |
|---|
| 882 | k_pp = k + 2 |
|---|
| 883 | ENDIF |
|---|
| 884 | IF ( k > nzt-2 ) THEN |
|---|
| 885 | k_ppp = nzt+1 |
|---|
| 886 | ELSE |
|---|
| 887 | k_ppp = k + 3 |
|---|
| 888 | ENDIF |
|---|
| 889 | |
|---|
| 890 | flag_set = .FALSE. |
|---|
| 891 | IF ( .NOT. BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
|---|
| 892 | BTEST(wall_flags_0(k,j,i),2) .OR. & |
|---|
| 893 | .NOT. BTEST(wall_flags_0(k_pp,j,i),2) .AND. & |
|---|
| 894 | BTEST(wall_flags_0(k,j,i),2) .OR. & |
|---|
| 895 | k == nzt ) & |
|---|
| 896 | THEN |
|---|
| 897 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 24 ) |
|---|
| 898 | flag_set = .TRUE. |
|---|
| 899 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),2) .OR. & |
|---|
| 900 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),2) ) .AND. & |
|---|
| 901 | BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
|---|
| 902 | BTEST(wall_flags_0(k,j,i),2) .AND. & |
|---|
| 903 | BTEST(wall_flags_0(k+1,j,i),2) .AND. & |
|---|
| 904 | BTEST(wall_flags_0(k_pp,j,i),2) .OR. & |
|---|
| 905 | k == nzt - 1 ) & |
|---|
| 906 | THEN |
|---|
| 907 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 25 ) |
|---|
| 908 | flag_set = .TRUE. |
|---|
| 909 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),2) .AND. & |
|---|
| 910 | BTEST(wall_flags_0(k-1,j,i),2) .AND. & |
|---|
| 911 | BTEST(wall_flags_0(k,j,i),2) .AND. & |
|---|
| 912 | BTEST(wall_flags_0(k+1,j,i),2) .AND. & |
|---|
| 913 | BTEST(wall_flags_0(k_pp,j,i),2) .AND. & |
|---|
| 914 | BTEST(wall_flags_0(k_ppp,j,i),2) .AND. & |
|---|
| 915 | .NOT. flag_set ) & |
|---|
| 916 | THEN |
|---|
| 917 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 26 ) |
|---|
| 918 | ENDIF |
|---|
| 919 | |
|---|
| 920 | ENDDO |
|---|
| 921 | ENDDO |
|---|
| 922 | ENDDO |
|---|
| 923 | DO i = nxl, nxr |
|---|
| 924 | DO j = nys, nyn |
|---|
| 925 | DO k = nzb+1, nzt |
|---|
| 926 | ! |
|---|
| 927 | !-- At first, set flags to WS1. |
|---|
| 928 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 929 | !-- in order to handle the left/south flux. |
|---|
| 930 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 27 ) |
|---|
| 931 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 30 ) |
|---|
| 932 | ! |
|---|
| 933 | !-- w component - x-direction |
|---|
| 934 | !-- WS1 (27), WS3 (28), WS5 (29) |
|---|
| 935 | IF ( .NOT. BTEST(wall_flags_0(k,j,i+1),3) .OR. & |
|---|
| 936 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 937 | .AND. i == nxl ) .OR. & |
|---|
| 938 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 939 | .AND. i == nxr ) ) & |
|---|
| 940 | THEN |
|---|
| 941 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 27 ) |
|---|
| 942 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j,i+2),3) .AND. & |
|---|
| 943 | BTEST(wall_flags_0(k,j,i+1),3) .OR. & |
|---|
| 944 | .NOT. BTEST(wall_flags_0(k,j,i-1),3) ) & |
|---|
| 945 | .OR. & |
|---|
| 946 | ( ( bc_dirichlet_r .OR. bc_radiation_r ) & |
|---|
| 947 | .AND. i == nxr-1 ) .OR. & |
|---|
| 948 | ( ( bc_dirichlet_l .OR. bc_radiation_l ) & |
|---|
| 949 | .AND. i == nxlu ) ) & |
|---|
| 950 | THEN |
|---|
| 951 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 28 ) |
|---|
| 952 | ! |
|---|
| 953 | !-- Clear flag for WS1 |
|---|
| 954 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 27 ) |
|---|
| 955 | ELSEIF ( BTEST(wall_flags_0(k,j,i+1),3) .AND. & |
|---|
| 956 | BTEST(wall_flags_0(k,j,i+2),3) .AND. & |
|---|
| 957 | BTEST(wall_flags_0(k,j,i-1),3) ) & |
|---|
| 958 | THEN |
|---|
| 959 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i),29 ) |
|---|
| 960 | ! |
|---|
| 961 | !-- Clear flag for WS1 |
|---|
| 962 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 27 ) |
|---|
| 963 | ENDIF |
|---|
| 964 | ! |
|---|
| 965 | !-- w component - y-direction |
|---|
| 966 | !-- WS1 (30), WS3 (31), WS5 (32) |
|---|
| 967 | IF ( .NOT. BTEST(wall_flags_0(k,j+1,i),3) .OR. & |
|---|
| 968 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 969 | .AND. j == nys ) .OR. & |
|---|
| 970 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 971 | .AND. j == nyn ) ) & |
|---|
| 972 | THEN |
|---|
| 973 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 30 ) |
|---|
| 974 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k,j+2,i),3) .AND. & |
|---|
| 975 | BTEST(wall_flags_0(k,j+1,i),3) .OR. & |
|---|
| 976 | .NOT. BTEST(wall_flags_0(k,j-1,i),3) ) & |
|---|
| 977 | .OR. & |
|---|
| 978 | ( ( bc_dirichlet_s .OR. bc_radiation_s ) & |
|---|
| 979 | .AND. j == nysv ) .OR. & |
|---|
| 980 | ( ( bc_dirichlet_n .OR. bc_radiation_n ) & |
|---|
| 981 | .AND. j == nyn-1 ) ) & |
|---|
| 982 | THEN |
|---|
| 983 | advc_flags_1(k,j,i) = IBSET( advc_flags_1(k,j,i), 31 ) |
|---|
| 984 | ! |
|---|
| 985 | !-- Clear flag for WS1 |
|---|
| 986 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 30 ) |
|---|
| 987 | ELSEIF ( BTEST(wall_flags_0(k,j+1,i),3) .AND. & |
|---|
| 988 | BTEST(wall_flags_0(k,j+2,i),3) .AND. & |
|---|
| 989 | BTEST(wall_flags_0(k,j-1,i),3) ) & |
|---|
| 990 | THEN |
|---|
| 991 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 0 ) |
|---|
| 992 | ! |
|---|
| 993 | !-- Clear flag for WS1 |
|---|
| 994 | advc_flags_1(k,j,i) = IBCLR( advc_flags_1(k,j,i), 30 ) |
|---|
| 995 | ENDIF |
|---|
| 996 | ! |
|---|
| 997 | !-- w component - z-direction |
|---|
| 998 | !-- WS1 (33), WS3 (34), WS5 (35) |
|---|
| 999 | flag_set = .FALSE. |
|---|
| 1000 | IF ( k == nzb+1 ) THEN |
|---|
| 1001 | k_mm = nzb |
|---|
| 1002 | ELSE |
|---|
| 1003 | k_mm = k - 2 |
|---|
| 1004 | ENDIF |
|---|
| 1005 | IF ( k > nzt-1 ) THEN |
|---|
| 1006 | k_pp = nzt+1 |
|---|
| 1007 | ELSE |
|---|
| 1008 | k_pp = k + 2 |
|---|
| 1009 | ENDIF |
|---|
| 1010 | IF ( k > nzt-2 ) THEN |
|---|
| 1011 | k_ppp = nzt+1 |
|---|
| 1012 | ELSE |
|---|
| 1013 | k_ppp = k + 3 |
|---|
| 1014 | ENDIF |
|---|
| 1015 | |
|---|
| 1016 | IF ( ( .NOT. BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
|---|
| 1017 | .NOT. BTEST(wall_flags_0(k,j,i),3) .AND. & |
|---|
| 1018 | BTEST(wall_flags_0(k+1,j,i),3) ) .OR. & |
|---|
| 1019 | ( .NOT. BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
|---|
| 1020 | BTEST(wall_flags_0(k,j,i),3) ) .OR. & |
|---|
| 1021 | ( .NOT. BTEST(wall_flags_0(k+1,j,i),3) .AND. & |
|---|
| 1022 | BTEST(wall_flags_0(k,j,i),3) ) .OR. & |
|---|
| 1023 | k == nzt ) & |
|---|
| 1024 | THEN |
|---|
| 1025 | ! |
|---|
| 1026 | !-- Please note, at k == nzb_w_inner(j,i) a flag is explictely |
|---|
| 1027 | !-- set, although this is not a prognostic level. However, |
|---|
| 1028 | !-- contrary to the advection of u,v and s this is necessary |
|---|
| 1029 | !-- because flux_t(nzb_w_inner(j,i)) is used for the tendency |
|---|
| 1030 | !-- at k == nzb_w_inner(j,i)+1. |
|---|
| 1031 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 1 ) |
|---|
| 1032 | flag_set = .TRUE. |
|---|
| 1033 | ELSEIF ( ( .NOT. BTEST(wall_flags_0(k_mm,j,i),3) .OR. & |
|---|
| 1034 | .NOT. BTEST(wall_flags_0(k_ppp,j,i),3) ) .AND. & |
|---|
| 1035 | BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
|---|
| 1036 | BTEST(wall_flags_0(k,j,i),3) .AND. & |
|---|
| 1037 | BTEST(wall_flags_0(k+1,j,i),3) .OR. & |
|---|
| 1038 | k == nzt - 1 ) & |
|---|
| 1039 | THEN |
|---|
| 1040 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 2 ) |
|---|
| 1041 | flag_set = .TRUE. |
|---|
| 1042 | ELSEIF ( BTEST(wall_flags_0(k_mm,j,i),3) .AND. & |
|---|
| 1043 | BTEST(wall_flags_0(k-1,j,i),3) .AND. & |
|---|
| 1044 | BTEST(wall_flags_0(k,j,i),3) .AND. & |
|---|
| 1045 | BTEST(wall_flags_0(k+1,j,i),3) .AND. & |
|---|
| 1046 | BTEST(wall_flags_0(k_pp,j,i),3) .AND. & |
|---|
| 1047 | BTEST(wall_flags_0(k_ppp,j,i),3) .AND. & |
|---|
| 1048 | .NOT. flag_set ) & |
|---|
| 1049 | THEN |
|---|
| 1050 | advc_flags_2(k,j,i) = IBSET( advc_flags_2(k,j,i), 3 ) |
|---|
| 1051 | ENDIF |
|---|
| 1052 | |
|---|
| 1053 | ENDDO |
|---|
| 1054 | ENDDO |
|---|
| 1055 | ENDDO |
|---|
| 1056 | |
|---|
| 1057 | ENDIF |
|---|
| 1058 | |
|---|
| 1059 | |
|---|
| 1060 | ! |
|---|
| 1061 | !-- Exchange 3D integer wall_flags. |
|---|
| 1062 | IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' & |
|---|
| 1063 | ) THEN |
|---|
| 1064 | ! |
|---|
| 1065 | !-- Exchange ghost points for advection flags |
|---|
| 1066 | CALL exchange_horiz_int( advc_flags_1, nys, nyn, nxl, nxr, nzt, nbgp ) |
|---|
| 1067 | CALL exchange_horiz_int( advc_flags_2, nys, nyn, nxl, nxr, nzt, nbgp ) |
|---|
| 1068 | ! |
|---|
| 1069 | !-- Set boundary flags at inflow and outflow boundary in case of |
|---|
| 1070 | !-- non-cyclic boundary conditions. |
|---|
| 1071 | IF ( bc_dirichlet_l .OR. bc_radiation_l ) THEN |
|---|
| 1072 | advc_flags_1(:,:,nxl-1) = advc_flags_1(:,:,nxl) |
|---|
| 1073 | advc_flags_2(:,:,nxl-1) = advc_flags_2(:,:,nxl) |
|---|
| 1074 | ENDIF |
|---|
| 1075 | |
|---|
| 1076 | IF ( bc_dirichlet_r .OR. bc_radiation_r ) THEN |
|---|
| 1077 | advc_flags_1(:,:,nxr+1) = advc_flags_1(:,:,nxr) |
|---|
| 1078 | advc_flags_2(:,:,nxr+1) = advc_flags_2(:,:,nxr) |
|---|
| 1079 | ENDIF |
|---|
| 1080 | |
|---|
| 1081 | IF ( bc_dirichlet_n .OR. bc_radiation_n ) THEN |
|---|
| 1082 | advc_flags_1(:,nyn+1,:) = advc_flags_1(:,nyn,:) |
|---|
| 1083 | advc_flags_2(:,nyn+1,:) = advc_flags_2(:,nyn,:) |
|---|
| 1084 | ENDIF |
|---|
| 1085 | |
|---|
| 1086 | IF ( bc_dirichlet_s .OR. bc_radiation_s ) THEN |
|---|
| 1087 | advc_flags_1(:,nys-1,:) = advc_flags_1(:,nys,:) |
|---|
| 1088 | advc_flags_2(:,nys-1,:) = advc_flags_2(:,nys,:) |
|---|
| 1089 | ENDIF |
|---|
| 1090 | |
|---|
| 1091 | ENDIF |
|---|
| 1092 | |
|---|
| 1093 | |
|---|
| 1094 | END SUBROUTINE ws_init_flags |
|---|
| 1095 | |
|---|
| 1096 | |
|---|
| 1097 | !------------------------------------------------------------------------------! |
|---|
| 1098 | ! Description: |
|---|
| 1099 | ! ------------ |
|---|
| 1100 | !> Initialize variables used for storing statistic quantities (fluxes, variances) |
|---|
| 1101 | !------------------------------------------------------------------------------! |
|---|
| 1102 | SUBROUTINE ws_statistics |
|---|
| 1103 | |
|---|
| 1104 | USE control_parameters, & |
|---|
| 1105 | ONLY: humidity, passive_scalar, ocean_mode, ws_scheme_mom, & |
|---|
| 1106 | ws_scheme_sca |
|---|
| 1107 | |
|---|
| 1108 | USE kinds |
|---|
| 1109 | |
|---|
| 1110 | USE bulk_cloud_model_mod, & |
|---|
| 1111 | ONLY: bulk_cloud_model, microphysics_morrison, microphysics_seifert |
|---|
| 1112 | |
|---|
| 1113 | USE salsa_util_mod, & |
|---|
| 1114 | ONLY: sums_salsa_ws_l |
|---|
| 1115 | |
|---|
| 1116 | USE statistics, & |
|---|
| 1117 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsncs_ws_l,& |
|---|
| 1118 | sums_wsnrs_ws_l, sums_wspts_ws_l, sums_wsqcs_ws_l, & |
|---|
| 1119 | sums_wsqrs_ws_l, sums_wsqs_ws_l, sums_wsss_ws_l, & |
|---|
| 1120 | sums_wssas_ws_l, sums_wsus_ws_l, sums_wsvs_ws_l |
|---|
| 1121 | |
|---|
| 1122 | |
|---|
| 1123 | IMPLICIT NONE |
|---|
| 1124 | |
|---|
| 1125 | ! |
|---|
| 1126 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
|---|
| 1127 | !-- beginning of prognostic_equations. |
|---|
| 1128 | IF ( ws_scheme_mom ) THEN |
|---|
| 1129 | sums_wsus_ws_l = 0.0_wp |
|---|
| 1130 | sums_wsvs_ws_l = 0.0_wp |
|---|
| 1131 | sums_us2_ws_l = 0.0_wp |
|---|
| 1132 | sums_vs2_ws_l = 0.0_wp |
|---|
| 1133 | sums_ws2_ws_l = 0.0_wp |
|---|
| 1134 | ENDIF |
|---|
| 1135 | |
|---|
| 1136 | IF ( ws_scheme_sca ) THEN |
|---|
| 1137 | sums_wspts_ws_l = 0.0_wp |
|---|
| 1138 | IF ( humidity ) sums_wsqs_ws_l = 0.0_wp |
|---|
| 1139 | IF ( passive_scalar ) sums_wsss_ws_l = 0.0_wp |
|---|
| 1140 | IF ( bulk_cloud_model .AND. microphysics_morrison ) THEN |
|---|
| 1141 | sums_wsqcs_ws_l = 0.0_wp |
|---|
| 1142 | sums_wsncs_ws_l = 0.0_wp |
|---|
| 1143 | ENDIF |
|---|
| 1144 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
|---|
| 1145 | sums_wsqrs_ws_l = 0.0_wp |
|---|
| 1146 | sums_wsnrs_ws_l = 0.0_wp |
|---|
| 1147 | ENDIF |
|---|
| 1148 | IF ( ocean_mode ) sums_wssas_ws_l = 0.0_wp |
|---|
| 1149 | |
|---|
| 1150 | sums_salsa_ws_l = 0.0_wp |
|---|
| 1151 | |
|---|
| 1152 | |
|---|
| 1153 | ENDIF |
|---|
| 1154 | |
|---|
| 1155 | END SUBROUTINE ws_statistics |
|---|
| 1156 | |
|---|
| 1157 | |
|---|
| 1158 | !------------------------------------------------------------------------------! |
|---|
| 1159 | ! Description: |
|---|
| 1160 | ! ------------ |
|---|
| 1161 | !> Scalar advection - Call for grid point i,j |
|---|
| 1162 | !------------------------------------------------------------------------------! |
|---|
| 1163 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char, swap_flux_y_local, & |
|---|
| 1164 | swap_diss_y_local, swap_flux_x_local, & |
|---|
| 1165 | swap_diss_x_local, i_omp, tn ) |
|---|
| 1166 | |
|---|
| 1167 | USE arrays_3d, & |
|---|
| 1168 | ONLY: ddzw, drho_air, rho_air_zw, tend, u, u_stokes_zu, v, & |
|---|
| 1169 | v_stokes_zu, w |
|---|
| 1170 | |
|---|
| 1171 | USE control_parameters, & |
|---|
| 1172 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 1173 | |
|---|
| 1174 | USE grid_variables, & |
|---|
| 1175 | ONLY: ddx, ddy |
|---|
| 1176 | |
|---|
| 1177 | USE indices, & |
|---|
| 1178 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
|---|
| 1179 | nzt, advc_flags_1 |
|---|
| 1180 | |
|---|
| 1181 | USE kinds |
|---|
| 1182 | |
|---|
| 1183 | USE pegrid |
|---|
| 1184 | |
|---|
| 1185 | USE salsa_util_mod, & |
|---|
| 1186 | ONLY: sums_salsa_ws_l |
|---|
| 1187 | |
|---|
| 1188 | USE statistics, & |
|---|
| 1189 | ONLY: hom, sums_wsncs_ws_l, sums_wsnrs_ws_l, sums_wspts_ws_l, & |
|---|
| 1190 | sums_wsqcs_ws_l, sums_wsqrs_ws_l, sums_wsqs_ws_l, & |
|---|
| 1191 | sums_wssas_ws_l, sums_wsss_ws_l, weight_substep |
|---|
| 1192 | |
|---|
| 1193 | |
|---|
| 1194 | IMPLICIT NONE |
|---|
| 1195 | |
|---|
| 1196 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
|---|
| 1197 | |
|---|
| 1198 | INTEGER(iwp) :: i !< |
|---|
| 1199 | INTEGER(iwp) :: ibit0 !< |
|---|
| 1200 | INTEGER(iwp) :: ibit1 !< |
|---|
| 1201 | INTEGER(iwp) :: ibit2 !< |
|---|
| 1202 | INTEGER(iwp) :: ibit3 !< |
|---|
| 1203 | INTEGER(iwp) :: ibit4 !< |
|---|
| 1204 | INTEGER(iwp) :: ibit5 !< |
|---|
| 1205 | INTEGER(iwp) :: ibit6 !< |
|---|
| 1206 | INTEGER(iwp) :: ibit7 !< |
|---|
| 1207 | INTEGER(iwp) :: ibit8 !< |
|---|
| 1208 | INTEGER(iwp) :: i_omp !< |
|---|
| 1209 | INTEGER(iwp) :: j !< |
|---|
| 1210 | INTEGER(iwp) :: k !< |
|---|
| 1211 | INTEGER(iwp) :: k_mm !< |
|---|
| 1212 | INTEGER(iwp) :: k_pp !< |
|---|
| 1213 | INTEGER(iwp) :: k_ppp !< |
|---|
| 1214 | INTEGER(iwp) :: tn !< |
|---|
| 1215 | |
|---|
| 1216 | REAL(wp) :: diss_d !< |
|---|
| 1217 | REAL(wp) :: div !< |
|---|
| 1218 | REAL(wp) :: flux_d !< |
|---|
| 1219 | REAL(wp) :: u_comp !< |
|---|
| 1220 | REAL(wp) :: v_comp !< |
|---|
| 1221 | |
|---|
| 1222 | #if defined( __nopointer ) |
|---|
| 1223 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
|---|
| 1224 | #else |
|---|
| 1225 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
|---|
| 1226 | #endif |
|---|
| 1227 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 1228 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 1229 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 1230 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 1231 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 1232 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 1233 | |
|---|
| 1234 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local !< |
|---|
| 1235 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_flux_y_local !< |
|---|
| 1236 | |
|---|
| 1237 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_diss_x_local !< |
|---|
| 1238 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_flux_x_local !< |
|---|
| 1239 | |
|---|
| 1240 | |
|---|
| 1241 | ! |
|---|
| 1242 | !-- Compute southside fluxes of the respective PE bounds. |
|---|
| 1243 | IF ( j == nys ) THEN |
|---|
| 1244 | ! |
|---|
| 1245 | !-- Up to the top of the highest topography. |
|---|
| 1246 | DO k = nzb+1, nzb_max |
|---|
| 1247 | |
|---|
| 1248 | ibit5 = IBITS(advc_flags_1(k,j-1,i),5,1) |
|---|
| 1249 | ibit4 = IBITS(advc_flags_1(k,j-1,i),4,1) |
|---|
| 1250 | ibit3 = IBITS(advc_flags_1(k,j-1,i),3,1) |
|---|
| 1251 | |
|---|
| 1252 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 1253 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 1254 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1255 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1256 | + ibit3 * adv_sca_1 & |
|---|
| 1257 | ) * & |
|---|
| 1258 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1259 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1260 | + ibit4 * adv_sca_3 & |
|---|
| 1261 | ) * & |
|---|
| 1262 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 1263 | + ( ibit5 * adv_sca_5 & |
|---|
| 1264 | ) * & |
|---|
| 1265 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 1266 | ) |
|---|
| 1267 | |
|---|
| 1268 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 1269 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1270 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1271 | + ibit3 * adv_sca_1 & |
|---|
| 1272 | ) * & |
|---|
| 1273 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1274 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1275 | + ibit4 * adv_sca_3 & |
|---|
| 1276 | ) * & |
|---|
| 1277 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 1278 | + ( ibit5 * adv_sca_5 & |
|---|
| 1279 | ) * & |
|---|
| 1280 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 1281 | ) |
|---|
| 1282 | |
|---|
| 1283 | ENDDO |
|---|
| 1284 | ! |
|---|
| 1285 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 1286 | DO k = nzb_max+1, nzt |
|---|
| 1287 | |
|---|
| 1288 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 1289 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 1290 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1291 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 1292 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 1293 | ) * adv_sca_5 |
|---|
| 1294 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 1295 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1296 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 1297 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 1298 | ) * adv_sca_5 |
|---|
| 1299 | |
|---|
| 1300 | ENDDO |
|---|
| 1301 | |
|---|
| 1302 | ENDIF |
|---|
| 1303 | ! |
|---|
| 1304 | !-- Compute leftside fluxes of the respective PE bounds. |
|---|
| 1305 | IF ( i == i_omp ) THEN |
|---|
| 1306 | |
|---|
| 1307 | DO k = nzb+1, nzb_max |
|---|
| 1308 | |
|---|
| 1309 | ibit2 = IBITS(advc_flags_1(k,j,i-1),2,1) |
|---|
| 1310 | ibit1 = IBITS(advc_flags_1(k,j,i-1),1,1) |
|---|
| 1311 | ibit0 = IBITS(advc_flags_1(k,j,i-1),0,1) |
|---|
| 1312 | |
|---|
| 1313 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
|---|
| 1314 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 1315 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1316 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1317 | + ibit0 * adv_sca_1 & |
|---|
| 1318 | ) * & |
|---|
| 1319 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1320 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1321 | + ibit1 * adv_sca_3 & |
|---|
| 1322 | ) * & |
|---|
| 1323 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1324 | + ( ibit2 * adv_sca_5 & |
|---|
| 1325 | ) * & |
|---|
| 1326 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1327 | ) |
|---|
| 1328 | |
|---|
| 1329 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 1330 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1331 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1332 | + ibit0 * adv_sca_1 & |
|---|
| 1333 | ) * & |
|---|
| 1334 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1335 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1336 | + ibit1 * adv_sca_3 & |
|---|
| 1337 | ) * & |
|---|
| 1338 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1339 | + ( ibit2 * adv_sca_5 & |
|---|
| 1340 | ) * & |
|---|
| 1341 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1342 | ) |
|---|
| 1343 | |
|---|
| 1344 | ENDDO |
|---|
| 1345 | |
|---|
| 1346 | DO k = nzb_max+1, nzt |
|---|
| 1347 | |
|---|
| 1348 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
|---|
| 1349 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 1350 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1351 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1352 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1353 | ) * adv_sca_5 |
|---|
| 1354 | |
|---|
| 1355 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 1356 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1357 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1358 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1359 | ) * adv_sca_5 |
|---|
| 1360 | |
|---|
| 1361 | ENDDO |
|---|
| 1362 | |
|---|
| 1363 | ENDIF |
|---|
| 1364 | |
|---|
| 1365 | flux_t(0) = 0.0_wp |
|---|
| 1366 | diss_t(0) = 0.0_wp |
|---|
| 1367 | ! |
|---|
| 1368 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1369 | !-- vertical parts up to the top of the highest topography. |
|---|
| 1370 | DO k = nzb+1, nzb_max |
|---|
| 1371 | ! |
|---|
| 1372 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
|---|
| 1373 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
|---|
| 1374 | !-- flux at the end. |
|---|
| 1375 | |
|---|
| 1376 | ibit2 = IBITS(advc_flags_1(k,j,i),2,1) |
|---|
| 1377 | ibit1 = IBITS(advc_flags_1(k,j,i),1,1) |
|---|
| 1378 | ibit0 = IBITS(advc_flags_1(k,j,i),0,1) |
|---|
| 1379 | |
|---|
| 1380 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
|---|
| 1381 | flux_r(k) = u_comp * ( & |
|---|
| 1382 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1383 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1384 | + ibit0 * adv_sca_1 & |
|---|
| 1385 | ) * & |
|---|
| 1386 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1387 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1388 | + ibit1 * adv_sca_3 & |
|---|
| 1389 | ) * & |
|---|
| 1390 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 1391 | + ( ibit2 * adv_sca_5 & |
|---|
| 1392 | ) * & |
|---|
| 1393 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 1394 | ) |
|---|
| 1395 | |
|---|
| 1396 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 1397 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1398 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1399 | + ibit0 * adv_sca_1 & |
|---|
| 1400 | ) * & |
|---|
| 1401 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1402 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1403 | + ibit1 * adv_sca_3 & |
|---|
| 1404 | ) * & |
|---|
| 1405 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 1406 | + ( ibit2 * adv_sca_5 & |
|---|
| 1407 | ) * & |
|---|
| 1408 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 1409 | ) |
|---|
| 1410 | |
|---|
| 1411 | ibit5 = IBITS(advc_flags_1(k,j,i),5,1) |
|---|
| 1412 | ibit4 = IBITS(advc_flags_1(k,j,i),4,1) |
|---|
| 1413 | ibit3 = IBITS(advc_flags_1(k,j,i),3,1) |
|---|
| 1414 | |
|---|
| 1415 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 1416 | flux_n(k) = v_comp * ( & |
|---|
| 1417 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1418 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1419 | + ibit3 * adv_sca_1 & |
|---|
| 1420 | ) * & |
|---|
| 1421 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1422 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1423 | + ibit4 * adv_sca_3 & |
|---|
| 1424 | ) * & |
|---|
| 1425 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 1426 | + ( ibit5 * adv_sca_5 & |
|---|
| 1427 | ) * & |
|---|
| 1428 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 1429 | ) |
|---|
| 1430 | |
|---|
| 1431 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 1432 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1433 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1434 | + ibit3 * adv_sca_1 & |
|---|
| 1435 | ) * & |
|---|
| 1436 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1437 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1438 | + ibit4 * adv_sca_3 & |
|---|
| 1439 | ) * & |
|---|
| 1440 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 1441 | + ( ibit5 * adv_sca_5 & |
|---|
| 1442 | ) * & |
|---|
| 1443 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 1444 | ) |
|---|
| 1445 | ! |
|---|
| 1446 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1447 | !-- subscripts will be exceeded. |
|---|
| 1448 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
|---|
| 1449 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
|---|
| 1450 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
|---|
| 1451 | |
|---|
| 1452 | k_ppp = k + 3 * ibit8 |
|---|
| 1453 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 1454 | k_mm = k - 2 * ibit8 |
|---|
| 1455 | |
|---|
| 1456 | |
|---|
| 1457 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 1458 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1459 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1460 | + ibit6 * adv_sca_1 & |
|---|
| 1461 | ) * & |
|---|
| 1462 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1463 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1464 | + ibit7 * adv_sca_3 & |
|---|
| 1465 | ) * & |
|---|
| 1466 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 1467 | + ( ibit8 * adv_sca_5 & |
|---|
| 1468 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 1469 | ) |
|---|
| 1470 | |
|---|
| 1471 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 1472 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1473 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1474 | + ibit6 * adv_sca_1 & |
|---|
| 1475 | ) * & |
|---|
| 1476 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1477 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1478 | + ibit7 * adv_sca_3 & |
|---|
| 1479 | ) * & |
|---|
| 1480 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 1481 | + ( ibit8 * adv_sca_5 & |
|---|
| 1482 | ) * & |
|---|
| 1483 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 1484 | ) |
|---|
| 1485 | ENDDO |
|---|
| 1486 | |
|---|
| 1487 | DO k = nzb+1, nzb_max |
|---|
| 1488 | |
|---|
| 1489 | flux_d = flux_t(k-1) |
|---|
| 1490 | diss_d = diss_t(k-1) |
|---|
| 1491 | ! |
|---|
| 1492 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1493 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 1494 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1495 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
|---|
| 1496 | - u(k,j,i) * ( IBITS(advc_flags_1(k,j,i-1),0,1) & |
|---|
| 1497 | + IBITS(advc_flags_1(k,j,i-1),1,1) & |
|---|
| 1498 | + IBITS(advc_flags_1(k,j,i-1),2,1) & |
|---|
| 1499 | ) & |
|---|
| 1500 | ) * ddx & |
|---|
| 1501 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
|---|
| 1502 | - v(k,j,i) * ( IBITS(advc_flags_1(k,j-1,i),3,1) & |
|---|
| 1503 | + IBITS(advc_flags_1(k,j-1,i),4,1) & |
|---|
| 1504 | + IBITS(advc_flags_1(k,j-1,i),5,1) & |
|---|
| 1505 | ) & |
|---|
| 1506 | ) * ddy & |
|---|
| 1507 | + ( w(k,j,i) * rho_air_zw(k) * & |
|---|
| 1508 | ( ibit6 + ibit7 + ibit8 ) & |
|---|
| 1509 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
|---|
| 1510 | ( IBITS(advc_flags_1(k-1,j,i),6,1) & |
|---|
| 1511 | + IBITS(advc_flags_1(k-1,j,i),7,1) & |
|---|
| 1512 | + IBITS(advc_flags_1(k-1,j,i),8,1) & |
|---|
| 1513 | ) & |
|---|
| 1514 | ) * drho_air(k) * ddzw(k) |
|---|
| 1515 | |
|---|
| 1516 | |
|---|
| 1517 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1518 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 1519 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 1520 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 1521 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 1522 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 1523 | ( flux_d + diss_d ) & |
|---|
| 1524 | ) * drho_air(k) * ddzw(k) & |
|---|
| 1525 | ) + sk(k,j,i) * div |
|---|
| 1526 | |
|---|
| 1527 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 1528 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 1529 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 1530 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 1531 | |
|---|
| 1532 | ENDDO |
|---|
| 1533 | ! |
|---|
| 1534 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1535 | !-- vertical parts above the top of the highest topography. No degradation |
|---|
| 1536 | !-- for the horizontal parts, but for the vertical it is stell needed. |
|---|
| 1537 | DO k = nzb_max+1, nzt |
|---|
| 1538 | |
|---|
| 1539 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
|---|
| 1540 | flux_r(k) = u_comp * ( & |
|---|
| 1541 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1542 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 1543 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 1544 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 1545 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1546 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 1547 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 1548 | |
|---|
| 1549 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 1550 | flux_n(k) = v_comp * ( & |
|---|
| 1551 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1552 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 1553 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 1554 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 1555 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1556 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 1557 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 1558 | ! |
|---|
| 1559 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1560 | !-- subscripts will be exceeded. |
|---|
| 1561 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
|---|
| 1562 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
|---|
| 1563 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
|---|
| 1564 | |
|---|
| 1565 | k_ppp = k + 3 * ibit8 |
|---|
| 1566 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 1567 | k_mm = k - 2 * ibit8 |
|---|
| 1568 | |
|---|
| 1569 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 1570 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1571 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1572 | + ibit6 * adv_sca_1 & |
|---|
| 1573 | ) * & |
|---|
| 1574 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1575 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1576 | + ibit7 * adv_sca_3 & |
|---|
| 1577 | ) * & |
|---|
| 1578 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 1579 | + ( ibit8 * adv_sca_5 & |
|---|
| 1580 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 1581 | ) |
|---|
| 1582 | |
|---|
| 1583 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 1584 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1585 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1586 | + ibit6 * adv_sca_1 & |
|---|
| 1587 | ) * & |
|---|
| 1588 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1589 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1590 | + ibit7 * adv_sca_3 & |
|---|
| 1591 | ) * & |
|---|
| 1592 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 1593 | + ( ibit8 * adv_sca_5 & |
|---|
| 1594 | ) * & |
|---|
| 1595 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 1596 | ) |
|---|
| 1597 | |
|---|
| 1598 | ENDDO |
|---|
| 1599 | |
|---|
| 1600 | DO k = nzb_max+1, nzt |
|---|
| 1601 | |
|---|
| 1602 | flux_d = flux_t(k-1) |
|---|
| 1603 | diss_d = diss_t(k-1) |
|---|
| 1604 | |
|---|
| 1605 | ! |
|---|
| 1606 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1607 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1608 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1609 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 1610 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 1611 | + ( w(k,j,i) * rho_air_zw(k) - & |
|---|
| 1612 | w(k-1,j,i) * rho_air_zw(k-1) & |
|---|
| 1613 | ) * drho_air(k) * ddzw(k) |
|---|
| 1614 | |
|---|
| 1615 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1616 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 1617 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 1618 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 1619 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 1620 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 1621 | ( flux_d + diss_d ) & |
|---|
| 1622 | ) * drho_air(k) * ddzw(k) & |
|---|
| 1623 | ) + sk(k,j,i) * div |
|---|
| 1624 | |
|---|
| 1625 | |
|---|
| 1626 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 1627 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 1628 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 1629 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 1630 | |
|---|
| 1631 | ENDDO |
|---|
| 1632 | |
|---|
| 1633 | ! |
|---|
| 1634 | !-- Evaluation of statistics. |
|---|
| 1635 | SELECT CASE ( sk_char ) |
|---|
| 1636 | |
|---|
| 1637 | CASE ( 'pt' ) |
|---|
| 1638 | |
|---|
| 1639 | DO k = nzb, nzt |
|---|
| 1640 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
|---|
| 1641 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1642 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1643 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1644 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1645 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1646 | ENDDO |
|---|
| 1647 | |
|---|
| 1648 | CASE ( 'sa' ) |
|---|
| 1649 | |
|---|
| 1650 | DO k = nzb, nzt |
|---|
| 1651 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
|---|
| 1652 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1653 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1654 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1655 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1656 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1657 | ENDDO |
|---|
| 1658 | |
|---|
| 1659 | CASE ( 'q' ) |
|---|
| 1660 | |
|---|
| 1661 | DO k = nzb, nzt |
|---|
| 1662 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
|---|
| 1663 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1664 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1665 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1666 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1667 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1668 | ENDDO |
|---|
| 1669 | |
|---|
| 1670 | CASE ( 'qc' ) |
|---|
| 1671 | |
|---|
| 1672 | DO k = nzb, nzt |
|---|
| 1673 | sums_wsqcs_ws_l(k,tn) = sums_wsqcs_ws_l(k,tn) + & |
|---|
| 1674 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1675 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1676 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1677 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1678 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1679 | ENDDO |
|---|
| 1680 | |
|---|
| 1681 | |
|---|
| 1682 | CASE ( 'qr' ) |
|---|
| 1683 | |
|---|
| 1684 | DO k = nzb, nzt |
|---|
| 1685 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) + & |
|---|
| 1686 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1687 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1688 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1689 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1690 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1691 | ENDDO |
|---|
| 1692 | |
|---|
| 1693 | CASE ( 'nc' ) |
|---|
| 1694 | |
|---|
| 1695 | DO k = nzb, nzt |
|---|
| 1696 | sums_wsncs_ws_l(k,tn) = sums_wsncs_ws_l(k,tn) + & |
|---|
| 1697 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1698 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1699 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1700 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1701 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1702 | ENDDO |
|---|
| 1703 | |
|---|
| 1704 | CASE ( 'nr' ) |
|---|
| 1705 | |
|---|
| 1706 | DO k = nzb, nzt |
|---|
| 1707 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) + & |
|---|
| 1708 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1709 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1710 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1711 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1712 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1713 | ENDDO |
|---|
| 1714 | |
|---|
| 1715 | CASE ( 's' ) |
|---|
| 1716 | |
|---|
| 1717 | DO k = nzb, nzt |
|---|
| 1718 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) + & |
|---|
| 1719 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1720 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1721 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1722 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1723 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1724 | ENDDO |
|---|
| 1725 | |
|---|
| 1726 | CASE ( 'aerosol_mass', 'aerosol_number', 'salsa_gas' ) |
|---|
| 1727 | |
|---|
| 1728 | DO k = nzb, nzt |
|---|
| 1729 | sums_salsa_ws_l(k,tn) = sums_salsa_ws_l(k,tn) + & |
|---|
| 1730 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1731 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1732 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1733 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1734 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1735 | ENDDO |
|---|
| 1736 | |
|---|
| 1737 | ! CASE ( 'kc' ) |
|---|
| 1738 | !kk Has to be implemented for kpp chemistry |
|---|
| 1739 | |
|---|
| 1740 | |
|---|
| 1741 | END SELECT |
|---|
| 1742 | |
|---|
| 1743 | END SUBROUTINE advec_s_ws_ij |
|---|
| 1744 | |
|---|
| 1745 | |
|---|
| 1746 | |
|---|
| 1747 | |
|---|
| 1748 | !------------------------------------------------------------------------------! |
|---|
| 1749 | ! Description: |
|---|
| 1750 | ! ------------ |
|---|
| 1751 | !> Advection of u-component - Call for grid point i,j |
|---|
| 1752 | !------------------------------------------------------------------------------! |
|---|
| 1753 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
|---|
| 1754 | |
|---|
| 1755 | USE arrays_3d, & |
|---|
| 1756 | ONLY: ddzw, diss_l_u, diss_s_u, flux_l_u, flux_s_u, tend, u, v, w,& |
|---|
| 1757 | drho_air, rho_air_zw |
|---|
| 1758 | |
|---|
| 1759 | USE control_parameters, & |
|---|
| 1760 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 1761 | |
|---|
| 1762 | USE grid_variables, & |
|---|
| 1763 | ONLY: ddx, ddy |
|---|
| 1764 | |
|---|
| 1765 | USE indices, & |
|---|
| 1766 | ONLY: nxlu, nys, nzb, nzb_max, nzt, advc_flags_1 |
|---|
| 1767 | |
|---|
| 1768 | USE kinds |
|---|
| 1769 | |
|---|
| 1770 | USE statistics, & |
|---|
| 1771 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
|---|
| 1772 | |
|---|
| 1773 | IMPLICIT NONE |
|---|
| 1774 | |
|---|
| 1775 | INTEGER(iwp) :: i !< |
|---|
| 1776 | INTEGER(iwp) :: ibit9 !< |
|---|
| 1777 | INTEGER(iwp) :: ibit10 !< |
|---|
| 1778 | INTEGER(iwp) :: ibit11 !< |
|---|
| 1779 | INTEGER(iwp) :: ibit12 !< |
|---|
| 1780 | INTEGER(iwp) :: ibit13 !< |
|---|
| 1781 | INTEGER(iwp) :: ibit14 !< |
|---|
| 1782 | INTEGER(iwp) :: ibit15 !< |
|---|
| 1783 | INTEGER(iwp) :: ibit16 !< |
|---|
| 1784 | INTEGER(iwp) :: ibit17 !< |
|---|
| 1785 | INTEGER(iwp) :: i_omp !< |
|---|
| 1786 | INTEGER(iwp) :: j !< |
|---|
| 1787 | INTEGER(iwp) :: k !< |
|---|
| 1788 | INTEGER(iwp) :: k_mm !< |
|---|
| 1789 | INTEGER(iwp) :: k_pp !< |
|---|
| 1790 | INTEGER(iwp) :: k_ppp !< |
|---|
| 1791 | INTEGER(iwp) :: tn !< |
|---|
| 1792 | |
|---|
| 1793 | REAL(wp) :: diss_d !< |
|---|
| 1794 | REAL(wp) :: div !< |
|---|
| 1795 | REAL(wp) :: flux_d !< |
|---|
| 1796 | REAL(wp) :: gu !< |
|---|
| 1797 | REAL(wp) :: gv !< |
|---|
| 1798 | REAL(wp) :: u_comp_l !< |
|---|
| 1799 | |
|---|
| 1800 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 1801 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 1802 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 1803 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 1804 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 1805 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 1806 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
|---|
| 1807 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
|---|
| 1808 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
|---|
| 1809 | |
|---|
| 1810 | gu = 2.0_wp * u_gtrans |
|---|
| 1811 | gv = 2.0_wp * v_gtrans |
|---|
| 1812 | ! |
|---|
| 1813 | !-- Compute southside fluxes for the respective boundary of PE |
|---|
| 1814 | IF ( j == nys ) THEN |
|---|
| 1815 | |
|---|
| 1816 | DO k = nzb+1, nzb_max |
|---|
| 1817 | |
|---|
| 1818 | ibit14 = IBITS(advc_flags_1(k,j-1,i),14,1) |
|---|
| 1819 | ibit13 = IBITS(advc_flags_1(k,j-1,i),13,1) |
|---|
| 1820 | ibit12 = IBITS(advc_flags_1(k,j-1,i),12,1) |
|---|
| 1821 | |
|---|
| 1822 | v_comp(k) = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 1823 | flux_s_u(k,tn) = v_comp(k) * ( & |
|---|
| 1824 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1825 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1826 | + ibit12 * adv_mom_1 & |
|---|
| 1827 | ) * & |
|---|
| 1828 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 1829 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1830 | + ibit13 * adv_mom_3 & |
|---|
| 1831 | ) * & |
|---|
| 1832 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 1833 | + ( ibit14 * adv_mom_5 & |
|---|
| 1834 | ) * & |
|---|
| 1835 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 1836 | ) |
|---|
| 1837 | |
|---|
| 1838 | diss_s_u(k,tn) = - ABS ( v_comp(k) ) * ( & |
|---|
| 1839 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1840 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1841 | + ibit12 * adv_mom_1 & |
|---|
| 1842 | ) * & |
|---|
| 1843 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 1844 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1845 | + ibit13 * adv_mom_3 & |
|---|
| 1846 | ) * & |
|---|
| 1847 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 1848 | + ( ibit14 * adv_mom_5 & |
|---|
| 1849 | ) * & |
|---|
| 1850 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 1851 | ) |
|---|
| 1852 | |
|---|
| 1853 | ENDDO |
|---|
| 1854 | |
|---|
| 1855 | DO k = nzb_max+1, nzt |
|---|
| 1856 | |
|---|
| 1857 | v_comp(k) = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 1858 | flux_s_u(k,tn) = v_comp(k) * ( & |
|---|
| 1859 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 1860 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 1861 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1862 | diss_s_u(k,tn) = - ABS(v_comp(k)) * ( & |
|---|
| 1863 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 1864 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 1865 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1866 | |
|---|
| 1867 | ENDDO |
|---|
| 1868 | |
|---|
| 1869 | ENDIF |
|---|
| 1870 | ! |
|---|
| 1871 | !-- Compute leftside fluxes for the respective boundary of PE |
|---|
| 1872 | IF ( i == i_omp .OR. i == nxlu ) THEN |
|---|
| 1873 | |
|---|
| 1874 | DO k = nzb+1, nzb_max |
|---|
| 1875 | |
|---|
| 1876 | ibit11 = IBITS(advc_flags_1(k,j,i-1),11,1) |
|---|
| 1877 | ibit10 = IBITS(advc_flags_1(k,j,i-1),10,1) |
|---|
| 1878 | ibit9 = IBITS(advc_flags_1(k,j,i-1),9,1) |
|---|
| 1879 | |
|---|
| 1880 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 1881 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 1882 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1883 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1884 | + ibit9 * adv_mom_1 & |
|---|
| 1885 | ) * & |
|---|
| 1886 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 1887 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1888 | + ibit10 * adv_mom_3 & |
|---|
| 1889 | ) * & |
|---|
| 1890 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 1891 | + ( ibit11 * adv_mom_5 & |
|---|
| 1892 | ) * & |
|---|
| 1893 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 1894 | ) |
|---|
| 1895 | |
|---|
| 1896 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
|---|
| 1897 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1898 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1899 | + ibit9 * adv_mom_1 & |
|---|
| 1900 | ) * & |
|---|
| 1901 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 1902 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1903 | + ibit10 * adv_mom_3 & |
|---|
| 1904 | ) * & |
|---|
| 1905 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 1906 | + ( ibit11 * adv_mom_5 & |
|---|
| 1907 | ) * & |
|---|
| 1908 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 1909 | ) |
|---|
| 1910 | |
|---|
| 1911 | ENDDO |
|---|
| 1912 | |
|---|
| 1913 | DO k = nzb_max+1, nzt |
|---|
| 1914 | |
|---|
| 1915 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 1916 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 1917 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 1918 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 1919 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1920 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
|---|
| 1921 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 1922 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 1923 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1924 | |
|---|
| 1925 | ENDDO |
|---|
| 1926 | |
|---|
| 1927 | ENDIF |
|---|
| 1928 | |
|---|
| 1929 | flux_t(0) = 0.0_wp |
|---|
| 1930 | diss_t(0) = 0.0_wp |
|---|
| 1931 | w_comp(0) = 0.0_wp |
|---|
| 1932 | ! |
|---|
| 1933 | !-- Now compute the fluxes tendency terms for the horizontal and |
|---|
| 1934 | !-- vertical parts. |
|---|
| 1935 | DO k = nzb+1, nzb_max |
|---|
| 1936 | |
|---|
| 1937 | ibit11 = IBITS(advc_flags_1(k,j,i),11,1) |
|---|
| 1938 | ibit10 = IBITS(advc_flags_1(k,j,i),10,1) |
|---|
| 1939 | ibit9 = IBITS(advc_flags_1(k,j,i),9,1) |
|---|
| 1940 | |
|---|
| 1941 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 1942 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 1943 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1944 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1945 | + ibit9 * adv_mom_1 & |
|---|
| 1946 | ) * & |
|---|
| 1947 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 1948 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1949 | + ibit10 * adv_mom_3 & |
|---|
| 1950 | ) * & |
|---|
| 1951 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 1952 | + ( ibit11 * adv_mom_5 & |
|---|
| 1953 | ) * & |
|---|
| 1954 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 1955 | ) |
|---|
| 1956 | |
|---|
| 1957 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 1958 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1959 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1960 | + ibit9 * adv_mom_1 & |
|---|
| 1961 | ) * & |
|---|
| 1962 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 1963 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1964 | + ibit10 * adv_mom_3 & |
|---|
| 1965 | ) * & |
|---|
| 1966 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 1967 | + ( ibit11 * adv_mom_5 & |
|---|
| 1968 | ) * & |
|---|
| 1969 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 1970 | ) |
|---|
| 1971 | |
|---|
| 1972 | ibit14 = IBITS(advc_flags_1(k,j,i),14,1) |
|---|
| 1973 | ibit13 = IBITS(advc_flags_1(k,j,i),13,1) |
|---|
| 1974 | ibit12 = IBITS(advc_flags_1(k,j,i),12,1) |
|---|
| 1975 | |
|---|
| 1976 | v_comp(k) = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 1977 | flux_n(k) = v_comp(k) * ( & |
|---|
| 1978 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1979 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1980 | + ibit12 * adv_mom_1 & |
|---|
| 1981 | ) * & |
|---|
| 1982 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 1983 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1984 | + ibit13 * adv_mom_3 & |
|---|
| 1985 | ) * & |
|---|
| 1986 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 1987 | + ( ibit14 * adv_mom_5 & |
|---|
| 1988 | ) * & |
|---|
| 1989 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 1990 | ) |
|---|
| 1991 | |
|---|
| 1992 | diss_n(k) = - ABS ( v_comp(k) ) * ( & |
|---|
| 1993 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1994 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1995 | + ibit12 * adv_mom_1 & |
|---|
| 1996 | ) * & |
|---|
| 1997 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 1998 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1999 | + ibit13 * adv_mom_3 & |
|---|
| 2000 | ) * & |
|---|
| 2001 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2002 | + ( ibit14 * adv_mom_5 & |
|---|
| 2003 | ) * & |
|---|
| 2004 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 2005 | ) |
|---|
| 2006 | ! |
|---|
| 2007 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2008 | !-- subscripts will be exceeded. |
|---|
| 2009 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
|---|
| 2010 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
|---|
| 2011 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
|---|
| 2012 | |
|---|
| 2013 | k_ppp = k + 3 * ibit17 |
|---|
| 2014 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2015 | k_mm = k - 2 * ibit17 |
|---|
| 2016 | |
|---|
| 2017 | w_comp(k) = w(k,j,i) + w(k,j,i-1) |
|---|
| 2018 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
|---|
| 2019 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2020 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2021 | + ibit15 * adv_mom_1 & |
|---|
| 2022 | ) * & |
|---|
| 2023 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2024 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2025 | + ibit16 * adv_mom_3 & |
|---|
| 2026 | ) * & |
|---|
| 2027 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2028 | + ( ibit17 * adv_mom_5 & |
|---|
| 2029 | ) * & |
|---|
| 2030 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2031 | ) |
|---|
| 2032 | |
|---|
| 2033 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
|---|
| 2034 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2035 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2036 | + ibit15 * adv_mom_1 & |
|---|
| 2037 | ) * & |
|---|
| 2038 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2039 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2040 | + ibit16 * adv_mom_3 & |
|---|
| 2041 | ) * & |
|---|
| 2042 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2043 | + ( ibit17 * adv_mom_5 & |
|---|
| 2044 | ) * & |
|---|
| 2045 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2046 | ) |
|---|
| 2047 | ENDDO |
|---|
| 2048 | |
|---|
| 2049 | DO k = nzb+1, nzb_max |
|---|
| 2050 | |
|---|
| 2051 | flux_d = flux_t(k-1) |
|---|
| 2052 | diss_d = diss_t(k-1) |
|---|
| 2053 | ! |
|---|
| 2054 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2055 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2056 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2057 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
|---|
| 2058 | - ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2059 | * ( IBITS(advc_flags_1(k,j,i-1),9,1) & |
|---|
| 2060 | + IBITS(advc_flags_1(k,j,i-1),10,1) & |
|---|
| 2061 | + IBITS(advc_flags_1(k,j,i-1),11,1) & |
|---|
| 2062 | ) & |
|---|
| 2063 | ) * ddx & |
|---|
| 2064 | + ( ( v_comp(k) + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
|---|
| 2065 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
|---|
| 2066 | * ( IBITS(advc_flags_1(k,j-1,i),12,1) & |
|---|
| 2067 | + IBITS(advc_flags_1(k,j-1,i),13,1) & |
|---|
| 2068 | + IBITS(advc_flags_1(k,j-1,i),14,1) & |
|---|
| 2069 | ) & |
|---|
| 2070 | ) * ddy & |
|---|
| 2071 | + ( w_comp(k) * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 )& |
|---|
| 2072 | - w_comp(k-1) * rho_air_zw(k-1) & |
|---|
| 2073 | * ( IBITS(advc_flags_1(k-1,j,i),15,1) & |
|---|
| 2074 | + IBITS(advc_flags_1(k-1,j,i),16,1) & |
|---|
| 2075 | + IBITS(advc_flags_1(k-1,j,i),17,1) & |
|---|
| 2076 | ) & |
|---|
| 2077 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2078 | ) * 0.5_wp |
|---|
| 2079 | |
|---|
| 2080 | |
|---|
| 2081 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2082 | ( flux_r(k) + diss_r(k) & |
|---|
| 2083 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 2084 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2085 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 2086 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2087 | - ( flux_d + diss_d ) & |
|---|
| 2088 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2089 | ) + div * u(k,j,i) |
|---|
| 2090 | |
|---|
| 2091 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 2092 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 2093 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 2094 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 2095 | ! |
|---|
| 2096 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 2097 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2098 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2099 | + ( flux_r(k) & |
|---|
| 2100 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2101 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 2102 | + diss_r(k) & |
|---|
| 2103 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2104 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 2105 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2106 | ! |
|---|
| 2107 | !-- Statistical Evaluation of w'u'. |
|---|
| 2108 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2109 | + ( flux_t(k) & |
|---|
| 2110 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2111 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 2112 | + diss_t(k) & |
|---|
| 2113 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2114 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 2115 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2116 | ENDDO |
|---|
| 2117 | |
|---|
| 2118 | DO k = nzb_max+1, nzt |
|---|
| 2119 | |
|---|
| 2120 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2121 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2122 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2123 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2124 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2125 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2126 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2127 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2128 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2129 | |
|---|
| 2130 | v_comp(k) = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2131 | flux_n(k) = v_comp(k) * ( & |
|---|
| 2132 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2133 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2134 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2135 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2136 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2137 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2138 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2139 | ! |
|---|
| 2140 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2141 | !-- subscripts will be exceeded. |
|---|
| 2142 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
|---|
| 2143 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
|---|
| 2144 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
|---|
| 2145 | |
|---|
| 2146 | k_ppp = k + 3 * ibit17 |
|---|
| 2147 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2148 | k_mm = k - 2 * ibit17 |
|---|
| 2149 | |
|---|
| 2150 | w_comp(k) = w(k,j,i) + w(k,j,i-1) |
|---|
| 2151 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
|---|
| 2152 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2153 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2154 | + ibit15 * adv_mom_1 & |
|---|
| 2155 | ) * & |
|---|
| 2156 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2157 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2158 | + ibit16 * adv_mom_3 & |
|---|
| 2159 | ) * & |
|---|
| 2160 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2161 | + ( ibit17 * adv_mom_5 & |
|---|
| 2162 | ) * & |
|---|
| 2163 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2164 | ) |
|---|
| 2165 | |
|---|
| 2166 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
|---|
| 2167 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2168 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2169 | + ibit15 * adv_mom_1 & |
|---|
| 2170 | ) * & |
|---|
| 2171 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2172 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2173 | + ibit16 * adv_mom_3 & |
|---|
| 2174 | ) * & |
|---|
| 2175 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2176 | + ( ibit17 * adv_mom_5 & |
|---|
| 2177 | ) * & |
|---|
| 2178 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2179 | ) |
|---|
| 2180 | |
|---|
| 2181 | ENDDO |
|---|
| 2182 | |
|---|
| 2183 | DO k = nzb_max+1, nzt |
|---|
| 2184 | |
|---|
| 2185 | flux_d = flux_t(k-1) |
|---|
| 2186 | diss_d = diss_t(k-1) |
|---|
| 2187 | ! |
|---|
| 2188 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2189 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2190 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2191 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2192 | + ( v_comp(k) + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2193 | + ( w_comp(k) * rho_air_zw(k) - & |
|---|
| 2194 | w_comp(k-1) * rho_air_zw(k-1) & |
|---|
| 2195 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2196 | ) * 0.5_wp |
|---|
| 2197 | |
|---|
| 2198 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2199 | ( flux_r(k) + diss_r(k) & |
|---|
| 2200 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 2201 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2202 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 2203 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2204 | - ( flux_d + diss_d ) & |
|---|
| 2205 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2206 | ) + div * u(k,j,i) |
|---|
| 2207 | |
|---|
| 2208 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 2209 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 2210 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 2211 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 2212 | ! |
|---|
| 2213 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 2214 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2215 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2216 | + ( flux_r(k) & |
|---|
| 2217 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2218 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 2219 | + diss_r(k) & |
|---|
| 2220 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2221 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 2222 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2223 | ! |
|---|
| 2224 | !-- Statistical Evaluation of w'u'. |
|---|
| 2225 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2226 | + ( flux_t(k) & |
|---|
| 2227 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2228 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 2229 | + diss_t(k) & |
|---|
| 2230 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2231 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 2232 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2233 | ENDDO |
|---|
| 2234 | |
|---|
| 2235 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 2236 | |
|---|
| 2237 | |
|---|
| 2238 | |
|---|
| 2239 | END SUBROUTINE advec_u_ws_ij |
|---|
| 2240 | |
|---|
| 2241 | |
|---|
| 2242 | |
|---|
| 2243 | !-----------------------------------------------------------------------------! |
|---|
| 2244 | ! Description: |
|---|
| 2245 | ! ------------ |
|---|
| 2246 | !> Advection of v-component - Call for grid point i,j |
|---|
| 2247 | !-----------------------------------------------------------------------------! |
|---|
| 2248 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
|---|
| 2249 | |
|---|
| 2250 | USE arrays_3d, & |
|---|
| 2251 | ONLY: ddzw, diss_l_v, diss_s_v, flux_l_v, flux_s_v, tend, u, v, w, & |
|---|
| 2252 | drho_air, rho_air_zw |
|---|
| 2253 | |
|---|
| 2254 | USE control_parameters, & |
|---|
| 2255 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 2256 | |
|---|
| 2257 | USE grid_variables, & |
|---|
| 2258 | ONLY: ddx, ddy |
|---|
| 2259 | |
|---|
| 2260 | USE indices, & |
|---|
| 2261 | ONLY: nysv, nzb, nzb_max, nzt, advc_flags_1 |
|---|
| 2262 | |
|---|
| 2263 | USE kinds |
|---|
| 2264 | |
|---|
| 2265 | USE statistics, & |
|---|
| 2266 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
|---|
| 2267 | |
|---|
| 2268 | IMPLICIT NONE |
|---|
| 2269 | |
|---|
| 2270 | INTEGER(iwp) :: i !< |
|---|
| 2271 | INTEGER(iwp) :: ibit18 !< |
|---|
| 2272 | INTEGER(iwp) :: ibit19 !< |
|---|
| 2273 | INTEGER(iwp) :: ibit20 !< |
|---|
| 2274 | INTEGER(iwp) :: ibit21 !< |
|---|
| 2275 | INTEGER(iwp) :: ibit22 !< |
|---|
| 2276 | INTEGER(iwp) :: ibit23 !< |
|---|
| 2277 | INTEGER(iwp) :: ibit24 !< |
|---|
| 2278 | INTEGER(iwp) :: ibit25 !< |
|---|
| 2279 | INTEGER(iwp) :: ibit26 !< |
|---|
| 2280 | INTEGER(iwp) :: i_omp !< |
|---|
| 2281 | INTEGER(iwp) :: j !< |
|---|
| 2282 | INTEGER(iwp) :: k !< |
|---|
| 2283 | INTEGER(iwp) :: k_mm !< |
|---|
| 2284 | INTEGER(iwp) :: k_pp !< |
|---|
| 2285 | INTEGER(iwp) :: k_ppp !< |
|---|
| 2286 | INTEGER(iwp) :: tn !< |
|---|
| 2287 | |
|---|
| 2288 | REAL(wp) :: diss_d !< |
|---|
| 2289 | REAL(wp) :: div !< |
|---|
| 2290 | REAL(wp) :: flux_d !< |
|---|
| 2291 | REAL(wp) :: gu !< |
|---|
| 2292 | REAL(wp) :: gv !< |
|---|
| 2293 | REAL(wp) :: v_comp_l !< |
|---|
| 2294 | |
|---|
| 2295 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 2296 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 2297 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 2298 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 2299 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 2300 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 2301 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
|---|
| 2302 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
|---|
| 2303 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
|---|
| 2304 | |
|---|
| 2305 | gu = 2.0_wp * u_gtrans |
|---|
| 2306 | gv = 2.0_wp * v_gtrans |
|---|
| 2307 | |
|---|
| 2308 | ! |
|---|
| 2309 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 2310 | IF ( i == i_omp ) THEN |
|---|
| 2311 | |
|---|
| 2312 | DO k = nzb+1, nzb_max |
|---|
| 2313 | |
|---|
| 2314 | ibit20 = IBITS(advc_flags_1(k,j,i-1),20,1) |
|---|
| 2315 | ibit19 = IBITS(advc_flags_1(k,j,i-1),19,1) |
|---|
| 2316 | ibit18 = IBITS(advc_flags_1(k,j,i-1),18,1) |
|---|
| 2317 | |
|---|
| 2318 | u_comp(k) = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2319 | flux_l_v(k,j,tn) = u_comp(k) * ( & |
|---|
| 2320 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2321 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2322 | + ibit18 * adv_mom_1 & |
|---|
| 2323 | ) * & |
|---|
| 2324 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2325 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2326 | + ibit19 * adv_mom_3 & |
|---|
| 2327 | ) * & |
|---|
| 2328 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2329 | + ( ibit20 * adv_mom_5 & |
|---|
| 2330 | ) * & |
|---|
| 2331 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 2332 | ) |
|---|
| 2333 | |
|---|
| 2334 | diss_l_v(k,j,tn) = - ABS( u_comp(k) ) * ( & |
|---|
| 2335 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2336 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2337 | + ibit18 * adv_mom_1 & |
|---|
| 2338 | ) * & |
|---|
| 2339 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2340 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2341 | + ibit19 * adv_mom_3 & |
|---|
| 2342 | ) * & |
|---|
| 2343 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2344 | + ( ibit20 * adv_mom_5 & |
|---|
| 2345 | ) * & |
|---|
| 2346 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 2347 | ) |
|---|
| 2348 | |
|---|
| 2349 | ENDDO |
|---|
| 2350 | |
|---|
| 2351 | DO k = nzb_max+1, nzt |
|---|
| 2352 | |
|---|
| 2353 | u_comp(k) = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2354 | flux_l_v(k,j,tn) = u_comp(k) * ( & |
|---|
| 2355 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2356 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2357 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2358 | diss_l_v(k,j,tn) = - ABS( u_comp(k) ) * ( & |
|---|
| 2359 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2360 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2361 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2362 | |
|---|
| 2363 | ENDDO |
|---|
| 2364 | |
|---|
| 2365 | ENDIF |
|---|
| 2366 | ! |
|---|
| 2367 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 2368 | IF ( j == nysv ) THEN |
|---|
| 2369 | |
|---|
| 2370 | DO k = nzb+1, nzb_max |
|---|
| 2371 | |
|---|
| 2372 | ibit23 = IBITS(advc_flags_1(k,j-1,i),23,1) |
|---|
| 2373 | ibit22 = IBITS(advc_flags_1(k,j-1,i),22,1) |
|---|
| 2374 | ibit21 = IBITS(advc_flags_1(k,j-1,i),21,1) |
|---|
| 2375 | |
|---|
| 2376 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2377 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 2378 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2379 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2380 | + ibit21 * adv_mom_1 & |
|---|
| 2381 | ) * & |
|---|
| 2382 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2383 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2384 | + ibit22 * adv_mom_3 & |
|---|
| 2385 | ) * & |
|---|
| 2386 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2387 | + ( ibit23 * adv_mom_5 & |
|---|
| 2388 | ) * & |
|---|
| 2389 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 2390 | ) |
|---|
| 2391 | |
|---|
| 2392 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 2393 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2394 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2395 | + ibit21 * adv_mom_1 & |
|---|
| 2396 | ) * & |
|---|
| 2397 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2398 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2399 | + ibit22 * adv_mom_3 & |
|---|
| 2400 | ) * & |
|---|
| 2401 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2402 | + ( ibit23 * adv_mom_5 & |
|---|
| 2403 | ) * & |
|---|
| 2404 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 2405 | ) |
|---|
| 2406 | |
|---|
| 2407 | ENDDO |
|---|
| 2408 | |
|---|
| 2409 | DO k = nzb_max+1, nzt |
|---|
| 2410 | |
|---|
| 2411 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2412 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 2413 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2414 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2415 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2416 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 2417 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2418 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2419 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2420 | |
|---|
| 2421 | ENDDO |
|---|
| 2422 | |
|---|
| 2423 | ENDIF |
|---|
| 2424 | |
|---|
| 2425 | flux_t(0) = 0.0_wp |
|---|
| 2426 | diss_t(0) = 0.0_wp |
|---|
| 2427 | w_comp(0) = 0.0_wp |
|---|
| 2428 | ! |
|---|
| 2429 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 2430 | !-- verical parts. |
|---|
| 2431 | DO k = nzb+1, nzb_max |
|---|
| 2432 | |
|---|
| 2433 | ibit20 = IBITS(advc_flags_1(k,j,i),20,1) |
|---|
| 2434 | ibit19 = IBITS(advc_flags_1(k,j,i),19,1) |
|---|
| 2435 | ibit18 = IBITS(advc_flags_1(k,j,i),18,1) |
|---|
| 2436 | |
|---|
| 2437 | u_comp(k) = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2438 | flux_r(k) = u_comp(k) * ( & |
|---|
| 2439 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2440 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2441 | + ibit18 * adv_mom_1 & |
|---|
| 2442 | ) * & |
|---|
| 2443 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2444 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2445 | + ibit19 * adv_mom_3 & |
|---|
| 2446 | ) * & |
|---|
| 2447 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2448 | + ( ibit20 * adv_mom_5 & |
|---|
| 2449 | ) * & |
|---|
| 2450 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 2451 | ) |
|---|
| 2452 | |
|---|
| 2453 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
|---|
| 2454 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2455 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2456 | + ibit18 * adv_mom_1 & |
|---|
| 2457 | ) * & |
|---|
| 2458 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2459 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2460 | + ibit19 * adv_mom_3 & |
|---|
| 2461 | ) * & |
|---|
| 2462 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2463 | + ( ibit20 * adv_mom_5 & |
|---|
| 2464 | ) * & |
|---|
| 2465 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 2466 | ) |
|---|
| 2467 | |
|---|
| 2468 | ibit23 = IBITS(advc_flags_1(k,j,i),23,1) |
|---|
| 2469 | ibit22 = IBITS(advc_flags_1(k,j,i),22,1) |
|---|
| 2470 | ibit21 = IBITS(advc_flags_1(k,j,i),21,1) |
|---|
| 2471 | |
|---|
| 2472 | |
|---|
| 2473 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2474 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2475 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2476 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2477 | + ibit21 * adv_mom_1 & |
|---|
| 2478 | ) * & |
|---|
| 2479 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2480 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2481 | + ibit22 * adv_mom_3 & |
|---|
| 2482 | ) * & |
|---|
| 2483 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2484 | + ( ibit23 * adv_mom_5 & |
|---|
| 2485 | ) * & |
|---|
| 2486 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 2487 | ) |
|---|
| 2488 | |
|---|
| 2489 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2490 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2491 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2492 | + ibit21 * adv_mom_1 & |
|---|
| 2493 | ) * & |
|---|
| 2494 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2495 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2496 | + ibit22 * adv_mom_3 & |
|---|
| 2497 | ) * & |
|---|
| 2498 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2499 | + ( ibit23 * adv_mom_5 & |
|---|
| 2500 | ) * & |
|---|
| 2501 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 2502 | ) |
|---|
| 2503 | ! |
|---|
| 2504 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2505 | !-- subscripts will be exceeded. |
|---|
| 2506 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
|---|
| 2507 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
|---|
| 2508 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
|---|
| 2509 | |
|---|
| 2510 | k_ppp = k + 3 * ibit26 |
|---|
| 2511 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2512 | k_mm = k - 2 * ibit26 |
|---|
| 2513 | |
|---|
| 2514 | w_comp(k) = w(k,j-1,i) + w(k,j,i) |
|---|
| 2515 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
|---|
| 2516 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2517 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2518 | + ibit24 * adv_mom_1 & |
|---|
| 2519 | ) * & |
|---|
| 2520 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2521 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2522 | + ibit25 * adv_mom_3 & |
|---|
| 2523 | ) * & |
|---|
| 2524 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2525 | + ( ibit26 * adv_mom_5 & |
|---|
| 2526 | ) * & |
|---|
| 2527 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2528 | ) |
|---|
| 2529 | |
|---|
| 2530 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
|---|
| 2531 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2532 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2533 | + ibit24 * adv_mom_1 & |
|---|
| 2534 | ) * & |
|---|
| 2535 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2536 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2537 | + ibit25 * adv_mom_3 & |
|---|
| 2538 | ) * & |
|---|
| 2539 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2540 | + ( ibit26 * adv_mom_5 & |
|---|
| 2541 | ) * & |
|---|
| 2542 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 2543 | ) |
|---|
| 2544 | ENDDO |
|---|
| 2545 | |
|---|
| 2546 | DO k = nzb+1, nzb_max |
|---|
| 2547 | |
|---|
| 2548 | flux_d = flux_t(k-1) |
|---|
| 2549 | diss_d = diss_t(k-1) |
|---|
| 2550 | ! |
|---|
| 2551 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2552 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2553 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2554 | div = ( ( ( u_comp(k) + gu ) & |
|---|
| 2555 | * ( ibit18 + ibit19 + ibit20 ) & |
|---|
| 2556 | - ( u(k,j-1,i) + u(k,j,i) ) & |
|---|
| 2557 | * ( IBITS(advc_flags_1(k,j,i-1),18,1) & |
|---|
| 2558 | + IBITS(advc_flags_1(k,j,i-1),19,1) & |
|---|
| 2559 | + IBITS(advc_flags_1(k,j,i-1),20,1) & |
|---|
| 2560 | ) & |
|---|
| 2561 | ) * ddx & |
|---|
| 2562 | + ( v_comp(k) & |
|---|
| 2563 | * ( ibit21 + ibit22 + ibit23 ) & |
|---|
| 2564 | - ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2565 | * ( IBITS(advc_flags_1(k,j-1,i),21,1) & |
|---|
| 2566 | + IBITS(advc_flags_1(k,j-1,i),22,1) & |
|---|
| 2567 | + IBITS(advc_flags_1(k,j-1,i),23,1) & |
|---|
| 2568 | ) & |
|---|
| 2569 | ) * ddy & |
|---|
| 2570 | + ( w_comp(k) * rho_air_zw(k) * ( ibit24 + ibit25 + ibit26 )& |
|---|
| 2571 | - w_comp(k-1) * rho_air_zw(k-1) & |
|---|
| 2572 | * ( IBITS(advc_flags_1(k-1,j,i),24,1) & |
|---|
| 2573 | + IBITS(advc_flags_1(k-1,j,i),25,1) & |
|---|
| 2574 | + IBITS(advc_flags_1(k-1,j,i),26,1) & |
|---|
| 2575 | ) & |
|---|
| 2576 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2577 | ) * 0.5_wp |
|---|
| 2578 | |
|---|
| 2579 | |
|---|
| 2580 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2581 | ( flux_r(k) + diss_r(k) & |
|---|
| 2582 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 2583 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2584 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 2585 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2586 | - ( flux_d + diss_d ) & |
|---|
| 2587 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2588 | ) + v(k,j,i) * div |
|---|
| 2589 | |
|---|
| 2590 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 2591 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 2592 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 2593 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 2594 | |
|---|
| 2595 | ! |
|---|
| 2596 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 2597 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2598 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 2599 | + ( flux_n(k) & |
|---|
| 2600 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2601 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 2602 | + diss_n(k) & |
|---|
| 2603 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2604 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 2605 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2606 | ! |
|---|
| 2607 | !-- Statistical Evaluation of w'u'. |
|---|
| 2608 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 2609 | + ( flux_t(k) & |
|---|
| 2610 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2611 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 2612 | + diss_t(k) & |
|---|
| 2613 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2614 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 2615 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2616 | |
|---|
| 2617 | ENDDO |
|---|
| 2618 | |
|---|
| 2619 | DO k = nzb_max+1, nzt |
|---|
| 2620 | |
|---|
| 2621 | u_comp(k) = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2622 | flux_r(k) = u_comp(k) * ( & |
|---|
| 2623 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2624 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2625 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2626 | |
|---|
| 2627 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
|---|
| 2628 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2629 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2630 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2631 | |
|---|
| 2632 | |
|---|
| 2633 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2634 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2635 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2636 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2637 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2638 | |
|---|
| 2639 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2640 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2641 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2642 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2643 | ! |
|---|
| 2644 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2645 | !-- subscripts will be exceeded. |
|---|
| 2646 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
|---|
| 2647 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
|---|
| 2648 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
|---|
| 2649 | |
|---|
| 2650 | k_ppp = k + 3 * ibit26 |
|---|
| 2651 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2652 | k_mm = k - 2 * ibit26 |
|---|
| 2653 | |
|---|
| 2654 | w_comp(k) = w(k,j-1,i) + w(k,j,i) |
|---|
| 2655 | flux_t(k) = w_comp(k) * rho_air_zw(k) * ( & |
|---|
| 2656 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2657 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2658 | + ibit24 * adv_mom_1 & |
|---|
| 2659 | ) * & |
|---|
| 2660 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2661 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2662 | + ibit25 * adv_mom_3 & |
|---|
| 2663 | ) * & |
|---|
| 2664 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2665 | + ( ibit26 * adv_mom_5 & |
|---|
| 2666 | ) * & |
|---|
| 2667 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2668 | ) |
|---|
| 2669 | |
|---|
| 2670 | diss_t(k) = - ABS( w_comp(k) ) * rho_air_zw(k) * ( & |
|---|
| 2671 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2672 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2673 | + ibit24 * adv_mom_1 & |
|---|
| 2674 | ) * & |
|---|
| 2675 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2676 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2677 | + ibit25 * adv_mom_3 & |
|---|
| 2678 | ) * & |
|---|
| 2679 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2680 | + ( ibit26 * adv_mom_5 & |
|---|
| 2681 | ) * & |
|---|
| 2682 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 2683 | ) |
|---|
| 2684 | ENDDO |
|---|
| 2685 | |
|---|
| 2686 | DO k = nzb_max+1, nzt |
|---|
| 2687 | |
|---|
| 2688 | flux_d = flux_t(k-1) |
|---|
| 2689 | diss_d = diss_t(k-1) |
|---|
| 2690 | ! |
|---|
| 2691 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2692 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2693 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2694 | div = ( ( u_comp(k) + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 2695 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 2696 | + ( w_comp(k) * rho_air_zw(k) - & |
|---|
| 2697 | w_comp(k-1) * rho_air_zw(k-1) & |
|---|
| 2698 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2699 | ) * 0.5_wp |
|---|
| 2700 | |
|---|
| 2701 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2702 | ( flux_r(k) + diss_r(k) & |
|---|
| 2703 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 2704 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2705 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 2706 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2707 | - ( flux_d + diss_d ) & |
|---|
| 2708 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2709 | ) + v(k,j,i) * div |
|---|
| 2710 | |
|---|
| 2711 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 2712 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 2713 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 2714 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 2715 | ! |
|---|
| 2716 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 2717 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2718 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 2719 | + ( flux_n(k) & |
|---|
| 2720 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2721 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 2722 | + diss_n(k) & |
|---|
| 2723 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2724 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 2725 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2726 | ! |
|---|
| 2727 | !-- Statistical Evaluation of w'u'. |
|---|
| 2728 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 2729 | + ( flux_t(k) & |
|---|
| 2730 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2731 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 2732 | + diss_t(k) & |
|---|
| 2733 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2734 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 2735 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2736 | |
|---|
| 2737 | ENDDO |
|---|
| 2738 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 2739 | |
|---|
| 2740 | |
|---|
| 2741 | END SUBROUTINE advec_v_ws_ij |
|---|
| 2742 | |
|---|
| 2743 | |
|---|
| 2744 | |
|---|
| 2745 | !------------------------------------------------------------------------------! |
|---|
| 2746 | ! Description: |
|---|
| 2747 | ! ------------ |
|---|
| 2748 | !> Advection of w-component - Call for grid point i,j |
|---|
| 2749 | !------------------------------------------------------------------------------! |
|---|
| 2750 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
|---|
| 2751 | |
|---|
| 2752 | USE arrays_3d, & |
|---|
| 2753 | ONLY: ddzu, diss_l_w, diss_s_w, flux_l_w, flux_s_w, tend, u, v, w,& |
|---|
| 2754 | drho_air_zw, rho_air |
|---|
| 2755 | |
|---|
| 2756 | USE control_parameters, & |
|---|
| 2757 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 2758 | |
|---|
| 2759 | USE grid_variables, & |
|---|
| 2760 | ONLY: ddx, ddy |
|---|
| 2761 | |
|---|
| 2762 | USE indices, & |
|---|
| 2763 | ONLY: nys, nzb, nzb_max, nzt, advc_flags_1, advc_flags_2 |
|---|
| 2764 | |
|---|
| 2765 | USE kinds |
|---|
| 2766 | |
|---|
| 2767 | USE statistics, & |
|---|
| 2768 | ONLY: hom, sums_ws2_ws_l, weight_substep |
|---|
| 2769 | |
|---|
| 2770 | IMPLICIT NONE |
|---|
| 2771 | |
|---|
| 2772 | INTEGER(iwp) :: i !< |
|---|
| 2773 | INTEGER(iwp) :: ibit27 !< |
|---|
| 2774 | INTEGER(iwp) :: ibit28 !< |
|---|
| 2775 | INTEGER(iwp) :: ibit29 !< |
|---|
| 2776 | INTEGER(iwp) :: ibit30 !< |
|---|
| 2777 | INTEGER(iwp) :: ibit31 !< |
|---|
| 2778 | INTEGER(iwp) :: ibit32 !< |
|---|
| 2779 | INTEGER(iwp) :: ibit33 !< |
|---|
| 2780 | INTEGER(iwp) :: ibit34 !< |
|---|
| 2781 | INTEGER(iwp) :: ibit35 !< |
|---|
| 2782 | INTEGER(iwp) :: i_omp !< |
|---|
| 2783 | INTEGER(iwp) :: j !< |
|---|
| 2784 | INTEGER(iwp) :: k !< |
|---|
| 2785 | INTEGER(iwp) :: k_mm !< |
|---|
| 2786 | INTEGER(iwp) :: k_pp !< |
|---|
| 2787 | INTEGER(iwp) :: k_ppp !< |
|---|
| 2788 | INTEGER(iwp) :: tn !< |
|---|
| 2789 | |
|---|
| 2790 | REAL(wp) :: diss_d !< |
|---|
| 2791 | REAL(wp) :: div !< |
|---|
| 2792 | REAL(wp) :: flux_d !< |
|---|
| 2793 | REAL(wp) :: gu !< |
|---|
| 2794 | REAL(wp) :: gv !< |
|---|
| 2795 | |
|---|
| 2796 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 2797 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 2798 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 2799 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 2800 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 2801 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 2802 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
|---|
| 2803 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
|---|
| 2804 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_comp !< |
|---|
| 2805 | |
|---|
| 2806 | gu = 2.0_wp * u_gtrans |
|---|
| 2807 | gv = 2.0_wp * v_gtrans |
|---|
| 2808 | |
|---|
| 2809 | ! |
|---|
| 2810 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 2811 | IF ( j == nys ) THEN |
|---|
| 2812 | |
|---|
| 2813 | DO k = nzb+1, nzb_max |
|---|
| 2814 | ibit32 = IBITS(advc_flags_2(k,j-1,i),0,1) |
|---|
| 2815 | ibit31 = IBITS(advc_flags_1(k,j-1,i),31,1) |
|---|
| 2816 | ibit30 = IBITS(advc_flags_1(k,j-1,i),30,1) |
|---|
| 2817 | |
|---|
| 2818 | v_comp(k) = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 2819 | flux_s_w(k,tn) = v_comp(k) * ( & |
|---|
| 2820 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2821 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2822 | + ibit30 * adv_mom_1 & |
|---|
| 2823 | ) * & |
|---|
| 2824 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 2825 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2826 | + ibit31 * adv_mom_3 & |
|---|
| 2827 | ) * & |
|---|
| 2828 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 2829 | + ( ibit32 * adv_mom_5 & |
|---|
| 2830 | ) * & |
|---|
| 2831 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 2832 | ) |
|---|
| 2833 | |
|---|
| 2834 | diss_s_w(k,tn) = - ABS( v_comp(k) ) * ( & |
|---|
| 2835 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2836 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2837 | + ibit30 * adv_mom_1 & |
|---|
| 2838 | ) * & |
|---|
| 2839 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 2840 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2841 | + ibit31 * adv_mom_3 & |
|---|
| 2842 | ) * & |
|---|
| 2843 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 2844 | + ( ibit32 * adv_mom_5 & |
|---|
| 2845 | ) * & |
|---|
| 2846 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 2847 | ) |
|---|
| 2848 | |
|---|
| 2849 | ENDDO |
|---|
| 2850 | |
|---|
| 2851 | DO k = nzb_max+1, nzt |
|---|
| 2852 | |
|---|
| 2853 | v_comp(k) = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 2854 | flux_s_w(k,tn) = v_comp(k) * ( & |
|---|
| 2855 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 2856 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 2857 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2858 | diss_s_w(k,tn) = - ABS( v_comp(k) ) * ( & |
|---|
| 2859 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 2860 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 2861 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2862 | |
|---|
| 2863 | ENDDO |
|---|
| 2864 | |
|---|
| 2865 | ENDIF |
|---|
| 2866 | ! |
|---|
| 2867 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 2868 | IF ( i == i_omp ) THEN |
|---|
| 2869 | |
|---|
| 2870 | DO k = nzb+1, nzb_max |
|---|
| 2871 | |
|---|
| 2872 | ibit29 = IBITS(advc_flags_1(k,j,i-1),29,1) |
|---|
| 2873 | ibit28 = IBITS(advc_flags_1(k,j,i-1),28,1) |
|---|
| 2874 | ibit27 = IBITS(advc_flags_1(k,j,i-1),27,1) |
|---|
| 2875 | |
|---|
| 2876 | u_comp(k) = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 2877 | flux_l_w(k,j,tn) = u_comp(k) * ( & |
|---|
| 2878 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2879 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2880 | + ibit27 * adv_mom_1 & |
|---|
| 2881 | ) * & |
|---|
| 2882 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 2883 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2884 | + ibit28 * adv_mom_3 & |
|---|
| 2885 | ) * & |
|---|
| 2886 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 2887 | + ( ibit29 * adv_mom_5 & |
|---|
| 2888 | ) * & |
|---|
| 2889 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 2890 | ) |
|---|
| 2891 | |
|---|
| 2892 | diss_l_w(k,j,tn) = - ABS( u_comp(k) ) * ( & |
|---|
| 2893 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2894 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2895 | + ibit27 * adv_mom_1 & |
|---|
| 2896 | ) * & |
|---|
| 2897 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 2898 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2899 | + ibit28 * adv_mom_3 & |
|---|
| 2900 | ) * & |
|---|
| 2901 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 2902 | + ( ibit29 * adv_mom_5 & |
|---|
| 2903 | ) * & |
|---|
| 2904 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 2905 | ) |
|---|
| 2906 | |
|---|
| 2907 | ENDDO |
|---|
| 2908 | |
|---|
| 2909 | DO k = nzb_max+1, nzt |
|---|
| 2910 | |
|---|
| 2911 | u_comp(k) = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 2912 | flux_l_w(k,j,tn) = u_comp(k) * ( & |
|---|
| 2913 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 2914 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 2915 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2916 | diss_l_w(k,j,tn) = - ABS( u_comp(k) ) * ( & |
|---|
| 2917 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 2918 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 2919 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2920 | |
|---|
| 2921 | ENDDO |
|---|
| 2922 | |
|---|
| 2923 | ENDIF |
|---|
| 2924 | ! |
|---|
| 2925 | !-- The lower flux has to be calculated explicetely for the tendency at |
|---|
| 2926 | !-- the first w-level. For topography wall this is done implicitely by |
|---|
| 2927 | !-- advc_flags_1. |
|---|
| 2928 | k = nzb + 1 |
|---|
| 2929 | w_comp(k) = w(k,j,i) + w(k-1,j,i) |
|---|
| 2930 | flux_t(0) = w_comp(k) * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 2931 | diss_t(0) = -ABS(w_comp(k)) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 2932 | ! |
|---|
| 2933 | !-- Now compute the fluxes and tendency terms for the horizontal |
|---|
| 2934 | !-- and vertical parts. |
|---|
| 2935 | DO k = nzb+1, nzb_max |
|---|
| 2936 | |
|---|
| 2937 | ibit29 = IBITS(advc_flags_1(k,j,i),29,1) |
|---|
| 2938 | ibit28 = IBITS(advc_flags_1(k,j,i),28,1) |
|---|
| 2939 | ibit27 = IBITS(advc_flags_1(k,j,i),27,1) |
|---|
| 2940 | |
|---|
| 2941 | u_comp(k) = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 2942 | flux_r(k) = u_comp(k) * ( & |
|---|
| 2943 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2944 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2945 | + ibit27 * adv_mom_1 & |
|---|
| 2946 | ) * & |
|---|
| 2947 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 2948 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2949 | + ibit28 * adv_mom_3 & |
|---|
| 2950 | ) * & |
|---|
| 2951 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 2952 | + ( ibit29 * adv_mom_5 & |
|---|
| 2953 | ) * & |
|---|
| 2954 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 2955 | ) |
|---|
| 2956 | |
|---|
| 2957 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
|---|
| 2958 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2959 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2960 | + ibit27 * adv_mom_1 & |
|---|
| 2961 | ) * & |
|---|
| 2962 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 2963 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2964 | + ibit28 * adv_mom_3 & |
|---|
| 2965 | ) * & |
|---|
| 2966 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 2967 | + ( ibit29 * adv_mom_5 & |
|---|
| 2968 | ) * & |
|---|
| 2969 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 2970 | ) |
|---|
| 2971 | |
|---|
| 2972 | ibit32 = IBITS(advc_flags_2(k,j,i),0,1) |
|---|
| 2973 | ibit31 = IBITS(advc_flags_1(k,j,i),31,1) |
|---|
| 2974 | ibit30 = IBITS(advc_flags_1(k,j,i),30,1) |
|---|
| 2975 | |
|---|
| 2976 | v_comp(k) = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 2977 | flux_n(k) = v_comp(k) * ( & |
|---|
| 2978 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2979 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2980 | + ibit30 * adv_mom_1 & |
|---|
| 2981 | ) * & |
|---|
| 2982 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 2983 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2984 | + ibit31 * adv_mom_3 & |
|---|
| 2985 | ) * & |
|---|
| 2986 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 2987 | + ( ibit32 * adv_mom_5 & |
|---|
| 2988 | ) * & |
|---|
| 2989 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 2990 | ) |
|---|
| 2991 | |
|---|
| 2992 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 2993 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2994 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2995 | + ibit30 * adv_mom_1 & |
|---|
| 2996 | ) * & |
|---|
| 2997 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 2998 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2999 | + ibit31 * adv_mom_3 & |
|---|
| 3000 | ) * & |
|---|
| 3001 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3002 | + ( ibit32 * adv_mom_5 & |
|---|
| 3003 | ) * & |
|---|
| 3004 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 3005 | ) |
|---|
| 3006 | ! |
|---|
| 3007 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3008 | !-- subscripts will be exceeded. |
|---|
| 3009 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
|---|
| 3010 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
|---|
| 3011 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
|---|
| 3012 | |
|---|
| 3013 | k_ppp = k + 3 * ibit35 |
|---|
| 3014 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3015 | k_mm = k - 2 * ibit35 |
|---|
| 3016 | |
|---|
| 3017 | w_comp(k) = w(k+1,j,i) + w(k,j,i) |
|---|
| 3018 | flux_t(k) = w_comp(k) * rho_air(k+1) * ( & |
|---|
| 3019 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3020 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3021 | + ibit33 * adv_mom_1 & |
|---|
| 3022 | ) * & |
|---|
| 3023 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3024 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3025 | + ibit34 * adv_mom_3 & |
|---|
| 3026 | ) * & |
|---|
| 3027 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3028 | + ( ibit35 * adv_mom_5 & |
|---|
| 3029 | ) * & |
|---|
| 3030 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3031 | ) |
|---|
| 3032 | |
|---|
| 3033 | diss_t(k) = - ABS( w_comp(k) ) * rho_air(k+1) * ( & |
|---|
| 3034 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3035 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3036 | + ibit33 * adv_mom_1 & |
|---|
| 3037 | ) * & |
|---|
| 3038 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3039 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3040 | + ibit34 * adv_mom_3 & |
|---|
| 3041 | ) * & |
|---|
| 3042 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3043 | + ( ibit35 * adv_mom_5 & |
|---|
| 3044 | ) * & |
|---|
| 3045 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3046 | ) |
|---|
| 3047 | ENDDO |
|---|
| 3048 | |
|---|
| 3049 | DO k = nzb+1, nzb_max |
|---|
| 3050 | |
|---|
| 3051 | flux_d = flux_t(k-1) |
|---|
| 3052 | diss_d = diss_t(k-1) |
|---|
| 3053 | ! |
|---|
| 3054 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3055 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3056 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3057 | div = ( ( ( u_comp(k) + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
|---|
| 3058 | - ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 3059 | * ( IBITS(advc_flags_1(k,j,i-1),27,1) & |
|---|
| 3060 | + IBITS(advc_flags_1(k,j,i-1),28,1) & |
|---|
| 3061 | + IBITS(advc_flags_1(k,j,i-1),29,1) & |
|---|
| 3062 | ) & |
|---|
| 3063 | ) * ddx & |
|---|
| 3064 | + ( ( v_comp(k) + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
|---|
| 3065 | - ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 3066 | * ( IBITS(advc_flags_1(k,j-1,i),30,1) & |
|---|
| 3067 | + IBITS(advc_flags_1(k,j-1,i),31,1) & |
|---|
| 3068 | + IBITS(advc_flags_2(k,j-1,i),0,1) & |
|---|
| 3069 | ) & |
|---|
| 3070 | ) * ddy & |
|---|
| 3071 | + ( w_comp(k) * rho_air(k+1) & |
|---|
| 3072 | * ( ibit33 + ibit34 + ibit35 ) & |
|---|
| 3073 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 3074 | * ( IBITS(advc_flags_2(k-1,j,i),1,1) & |
|---|
| 3075 | + IBITS(advc_flags_2(k-1,j,i),2,1) & |
|---|
| 3076 | + IBITS(advc_flags_2(k-1,j,i),3,1) & |
|---|
| 3077 | ) & |
|---|
| 3078 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3079 | ) * 0.5_wp |
|---|
| 3080 | |
|---|
| 3081 | |
|---|
| 3082 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3083 | ( flux_r(k) + diss_r(k) & |
|---|
| 3084 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 3085 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3086 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 3087 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 3088 | - ( flux_d + diss_d ) & |
|---|
| 3089 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3090 | ) + div * w(k,j,i) |
|---|
| 3091 | |
|---|
| 3092 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 3093 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 3094 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 3095 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 3096 | ! |
|---|
| 3097 | !-- Statistical Evaluation of w'w'. |
|---|
| 3098 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3099 | + ( flux_t(k) & |
|---|
| 3100 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3101 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 3102 | + diss_t(k) & |
|---|
| 3103 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3104 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 3105 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3106 | |
|---|
| 3107 | ENDDO |
|---|
| 3108 | |
|---|
| 3109 | DO k = nzb_max+1, nzt |
|---|
| 3110 | |
|---|
| 3111 | u_comp(k) = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3112 | flux_r(k) = u_comp(k) * ( & |
|---|
| 3113 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3114 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3115 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3116 | |
|---|
| 3117 | diss_r(k) = - ABS( u_comp(k) ) * ( & |
|---|
| 3118 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3119 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3120 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3121 | |
|---|
| 3122 | v_comp(k) = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3123 | flux_n(k) = v_comp(k) * ( & |
|---|
| 3124 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3125 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3126 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3127 | |
|---|
| 3128 | diss_n(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 3129 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3130 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3131 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3132 | ! |
|---|
| 3133 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3134 | !-- subscripts will be exceeded. |
|---|
| 3135 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
|---|
| 3136 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
|---|
| 3137 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
|---|
| 3138 | |
|---|
| 3139 | k_ppp = k + 3 * ibit35 |
|---|
| 3140 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3141 | k_mm = k - 2 * ibit35 |
|---|
| 3142 | |
|---|
| 3143 | w_comp(k) = w(k+1,j,i) + w(k,j,i) |
|---|
| 3144 | flux_t(k) = w_comp(k) * rho_air(k+1) * ( & |
|---|
| 3145 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3146 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3147 | + ibit33 * adv_mom_1 & |
|---|
| 3148 | ) * & |
|---|
| 3149 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3150 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3151 | + ibit34 * adv_mom_3 & |
|---|
| 3152 | ) * & |
|---|
| 3153 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3154 | + ( ibit35 * adv_mom_5 & |
|---|
| 3155 | ) * & |
|---|
| 3156 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3157 | ) |
|---|
| 3158 | |
|---|
| 3159 | diss_t(k) = - ABS( w_comp(k) ) * rho_air(k+1) * ( & |
|---|
| 3160 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3161 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3162 | + ibit33 * adv_mom_1 & |
|---|
| 3163 | ) * & |
|---|
| 3164 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3165 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3166 | + ibit34 * adv_mom_3 & |
|---|
| 3167 | ) * & |
|---|
| 3168 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3169 | + ( ibit35 * adv_mom_5 & |
|---|
| 3170 | ) * & |
|---|
| 3171 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3172 | ) |
|---|
| 3173 | ENDDO |
|---|
| 3174 | |
|---|
| 3175 | DO k = nzb_max+1, nzt |
|---|
| 3176 | |
|---|
| 3177 | flux_d = flux_t(k-1) |
|---|
| 3178 | diss_d = diss_t(k-1) |
|---|
| 3179 | ! |
|---|
| 3180 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3181 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3182 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3183 | div = ( ( u_comp(k) + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3184 | + ( v_comp(k) + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3185 | + ( w_comp(k) * rho_air(k+1) - & |
|---|
| 3186 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 3187 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3188 | ) * 0.5_wp |
|---|
| 3189 | |
|---|
| 3190 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3191 | ( flux_r(k) + diss_r(k) & |
|---|
| 3192 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 3193 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3194 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 3195 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 3196 | - ( flux_d + diss_d ) & |
|---|
| 3197 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3198 | ) + div * w(k,j,i) |
|---|
| 3199 | |
|---|
| 3200 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 3201 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 3202 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 3203 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 3204 | ! |
|---|
| 3205 | !-- Statistical Evaluation of w'w'. |
|---|
| 3206 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3207 | + ( flux_t(k) & |
|---|
| 3208 | * ( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3209 | / ( w_comp(k) + SIGN( 1.0E-20_wp, w_comp(k) ) ) & |
|---|
| 3210 | + diss_t(k) & |
|---|
| 3211 | * ABS( w_comp(k) - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3212 | / ( ABS( w_comp(k) ) + 1.0E-20_wp ) & |
|---|
| 3213 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3214 | |
|---|
| 3215 | ENDDO |
|---|
| 3216 | |
|---|
| 3217 | |
|---|
| 3218 | END SUBROUTINE advec_w_ws_ij |
|---|
| 3219 | |
|---|
| 3220 | |
|---|
| 3221 | !------------------------------------------------------------------------------! |
|---|
| 3222 | ! Description: |
|---|
| 3223 | ! ------------ |
|---|
| 3224 | !> Scalar advection - Call for all grid points |
|---|
| 3225 | !------------------------------------------------------------------------------! |
|---|
| 3226 | SUBROUTINE advec_s_ws( sk, sk_char ) |
|---|
| 3227 | |
|---|
| 3228 | USE arrays_3d, & |
|---|
| 3229 | ONLY: ddzw, drho_air, rho_air_zw, tend, u, u_stokes_zu, v, & |
|---|
| 3230 | v_stokes_zu, w |
|---|
| 3231 | |
|---|
| 3232 | USE control_parameters, & |
|---|
| 3233 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 3234 | |
|---|
| 3235 | USE grid_variables, & |
|---|
| 3236 | ONLY: ddx, ddy |
|---|
| 3237 | |
|---|
| 3238 | USE indices, & |
|---|
| 3239 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
|---|
| 3240 | nzt, advc_flags_1 |
|---|
| 3241 | |
|---|
| 3242 | USE kinds |
|---|
| 3243 | |
|---|
| 3244 | USE salsa_util_mod, & |
|---|
| 3245 | ONLY: sums_salsa_ws_l |
|---|
| 3246 | |
|---|
| 3247 | USE statistics, & |
|---|
| 3248 | ONLY: hom, sums_wspts_ws_l, sums_wsqs_ws_l, sums_wssas_ws_l, & |
|---|
| 3249 | sums_wsqcs_ws_l, sums_wsqrs_ws_l, sums_wsncs_ws_l, & |
|---|
| 3250 | sums_wsnrs_ws_l, sums_wsss_ws_l, weight_substep |
|---|
| 3251 | |
|---|
| 3252 | |
|---|
| 3253 | |
|---|
| 3254 | IMPLICIT NONE |
|---|
| 3255 | |
|---|
| 3256 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
|---|
| 3257 | |
|---|
| 3258 | INTEGER(iwp) :: i !< |
|---|
| 3259 | INTEGER(iwp) :: ibit0 !< |
|---|
| 3260 | INTEGER(iwp) :: ibit1 !< |
|---|
| 3261 | INTEGER(iwp) :: ibit2 !< |
|---|
| 3262 | INTEGER(iwp) :: ibit3 !< |
|---|
| 3263 | INTEGER(iwp) :: ibit4 !< |
|---|
| 3264 | INTEGER(iwp) :: ibit5 !< |
|---|
| 3265 | INTEGER(iwp) :: ibit6 !< |
|---|
| 3266 | INTEGER(iwp) :: ibit7 !< |
|---|
| 3267 | INTEGER(iwp) :: ibit8 !< |
|---|
| 3268 | INTEGER(iwp) :: j !< |
|---|
| 3269 | INTEGER(iwp) :: k !< |
|---|
| 3270 | INTEGER(iwp) :: k_mm !< |
|---|
| 3271 | INTEGER(iwp) :: k_pp !< |
|---|
| 3272 | INTEGER(iwp) :: k_ppp !< |
|---|
| 3273 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 3274 | |
|---|
| 3275 | #if defined( __nopointer ) |
|---|
| 3276 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
|---|
| 3277 | #else |
|---|
| 3278 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
|---|
| 3279 | #endif |
|---|
| 3280 | |
|---|
| 3281 | REAL(wp) :: diss_d !< |
|---|
| 3282 | REAL(wp) :: div !< |
|---|
| 3283 | REAL(wp) :: flux_d !< |
|---|
| 3284 | REAL(wp) :: u_comp !< |
|---|
| 3285 | REAL(wp) :: v_comp !< |
|---|
| 3286 | |
|---|
| 3287 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 3288 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 3289 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 3290 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 3291 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 3292 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 3293 | |
|---|
| 3294 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local !< |
|---|
| 3295 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local !< |
|---|
| 3296 | |
|---|
| 3297 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local !< |
|---|
| 3298 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local !< |
|---|
| 3299 | |
|---|
| 3300 | |
|---|
| 3301 | ! |
|---|
| 3302 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 3303 | i = nxl |
|---|
| 3304 | DO j = nys, nyn |
|---|
| 3305 | |
|---|
| 3306 | DO k = nzb+1, nzb_max |
|---|
| 3307 | |
|---|
| 3308 | ibit2 = IBITS(advc_flags_1(k,j,i-1),2,1) |
|---|
| 3309 | ibit1 = IBITS(advc_flags_1(k,j,i-1),1,1) |
|---|
| 3310 | ibit0 = IBITS(advc_flags_1(k,j,i-1),0,1) |
|---|
| 3311 | |
|---|
| 3312 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
|---|
| 3313 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 3314 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3315 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3316 | + ibit0 * adv_sca_1 & |
|---|
| 3317 | ) * & |
|---|
| 3318 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3319 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3320 | + ibit1 * adv_sca_3 & |
|---|
| 3321 | ) * & |
|---|
| 3322 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 3323 | + ( ibit2 * adv_sca_5 & |
|---|
| 3324 | ) * & |
|---|
| 3325 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 3326 | ) |
|---|
| 3327 | |
|---|
| 3328 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 3329 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3330 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3331 | + ibit0 * adv_sca_1 & |
|---|
| 3332 | ) * & |
|---|
| 3333 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3334 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3335 | + ibit1 * adv_sca_3 & |
|---|
| 3336 | ) * & |
|---|
| 3337 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 3338 | + ( ibit2 * adv_sca_5 & |
|---|
| 3339 | ) * & |
|---|
| 3340 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 3341 | ) |
|---|
| 3342 | |
|---|
| 3343 | ENDDO |
|---|
| 3344 | |
|---|
| 3345 | DO k = nzb_max+1, nzt |
|---|
| 3346 | |
|---|
| 3347 | u_comp = u(k,j,i) - u_gtrans + u_stokes_zu(k) |
|---|
| 3348 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 3349 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3350 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 3351 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 3352 | ) * adv_sca_5 |
|---|
| 3353 | |
|---|
| 3354 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 3355 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3356 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 3357 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 3358 | ) * adv_sca_5 |
|---|
| 3359 | |
|---|
| 3360 | ENDDO |
|---|
| 3361 | |
|---|
| 3362 | ENDDO |
|---|
| 3363 | |
|---|
| 3364 | DO i = nxl, nxr |
|---|
| 3365 | |
|---|
| 3366 | j = nys |
|---|
| 3367 | DO k = nzb+1, nzb_max |
|---|
| 3368 | |
|---|
| 3369 | ibit5 = IBITS(advc_flags_1(k,j-1,i),5,1) |
|---|
| 3370 | ibit4 = IBITS(advc_flags_1(k,j-1,i),4,1) |
|---|
| 3371 | ibit3 = IBITS(advc_flags_1(k,j-1,i),3,1) |
|---|
| 3372 | |
|---|
| 3373 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 3374 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 3375 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3376 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3377 | + ibit3 * adv_sca_1 & |
|---|
| 3378 | ) * & |
|---|
| 3379 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3380 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3381 | + ibit4 * adv_sca_3 & |
|---|
| 3382 | ) * & |
|---|
| 3383 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 3384 | + ( ibit5 * adv_sca_5 & |
|---|
| 3385 | ) * & |
|---|
| 3386 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 3387 | ) |
|---|
| 3388 | |
|---|
| 3389 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 3390 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3391 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3392 | + ibit3 * adv_sca_1 & |
|---|
| 3393 | ) * & |
|---|
| 3394 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3395 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3396 | + ibit4 * adv_sca_3 & |
|---|
| 3397 | ) * & |
|---|
| 3398 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 3399 | + ( ibit5 * adv_sca_5 & |
|---|
| 3400 | ) * & |
|---|
| 3401 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 3402 | ) |
|---|
| 3403 | |
|---|
| 3404 | ENDDO |
|---|
| 3405 | ! |
|---|
| 3406 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 3407 | DO k = nzb_max+1, nzt |
|---|
| 3408 | |
|---|
| 3409 | v_comp = v(k,j,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 3410 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 3411 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3412 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 3413 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 3414 | ) * adv_sca_5 |
|---|
| 3415 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 3416 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3417 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 3418 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 3419 | ) * adv_sca_5 |
|---|
| 3420 | |
|---|
| 3421 | ENDDO |
|---|
| 3422 | |
|---|
| 3423 | DO j = nys, nyn |
|---|
| 3424 | |
|---|
| 3425 | flux_t(0) = 0.0_wp |
|---|
| 3426 | diss_t(0) = 0.0_wp |
|---|
| 3427 | flux_d = 0.0_wp |
|---|
| 3428 | diss_d = 0.0_wp |
|---|
| 3429 | |
|---|
| 3430 | DO k = nzb+1, nzb_max |
|---|
| 3431 | |
|---|
| 3432 | ibit2 = IBITS(advc_flags_1(k,j,i),2,1) |
|---|
| 3433 | ibit1 = IBITS(advc_flags_1(k,j,i),1,1) |
|---|
| 3434 | ibit0 = IBITS(advc_flags_1(k,j,i),0,1) |
|---|
| 3435 | |
|---|
| 3436 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
|---|
| 3437 | flux_r(k) = u_comp * ( & |
|---|
| 3438 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3439 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3440 | + ibit0 * adv_sca_1 & |
|---|
| 3441 | ) * & |
|---|
| 3442 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3443 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3444 | + ibit1 * adv_sca_3 & |
|---|
| 3445 | ) * & |
|---|
| 3446 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 3447 | + ( ibit2 * adv_sca_5 & |
|---|
| 3448 | ) * & |
|---|
| 3449 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 3450 | ) |
|---|
| 3451 | |
|---|
| 3452 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 3453 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3454 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3455 | + ibit0 * adv_sca_1 & |
|---|
| 3456 | ) * & |
|---|
| 3457 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3458 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3459 | + ibit1 * adv_sca_3 & |
|---|
| 3460 | ) * & |
|---|
| 3461 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 3462 | + ( ibit2 * adv_sca_5 & |
|---|
| 3463 | ) * & |
|---|
| 3464 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 3465 | ) |
|---|
| 3466 | |
|---|
| 3467 | ibit5 = IBITS(advc_flags_1(k,j,i),5,1) |
|---|
| 3468 | ibit4 = IBITS(advc_flags_1(k,j,i),4,1) |
|---|
| 3469 | ibit3 = IBITS(advc_flags_1(k,j,i),3,1) |
|---|
| 3470 | |
|---|
| 3471 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 3472 | flux_n(k) = v_comp * ( & |
|---|
| 3473 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3474 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3475 | + ibit3 * adv_sca_1 & |
|---|
| 3476 | ) * & |
|---|
| 3477 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3478 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3479 | + ibit4 * adv_sca_3 & |
|---|
| 3480 | ) * & |
|---|
| 3481 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 3482 | + ( ibit5 * adv_sca_5 & |
|---|
| 3483 | ) * & |
|---|
| 3484 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 3485 | ) |
|---|
| 3486 | |
|---|
| 3487 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 3488 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3489 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3490 | + ibit3 * adv_sca_1 & |
|---|
| 3491 | ) * & |
|---|
| 3492 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3493 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3494 | + ibit4 * adv_sca_3 & |
|---|
| 3495 | ) * & |
|---|
| 3496 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 3497 | + ( ibit5 * adv_sca_5 & |
|---|
| 3498 | ) * & |
|---|
| 3499 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 3500 | ) |
|---|
| 3501 | ! |
|---|
| 3502 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3503 | !-- subscripts will be exceeded. |
|---|
| 3504 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
|---|
| 3505 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
|---|
| 3506 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
|---|
| 3507 | |
|---|
| 3508 | k_ppp = k + 3 * ibit8 |
|---|
| 3509 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 3510 | k_mm = k - 2 * ibit8 |
|---|
| 3511 | |
|---|
| 3512 | |
|---|
| 3513 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 3514 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3515 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3516 | + ibit6 * adv_sca_1 & |
|---|
| 3517 | ) * & |
|---|
| 3518 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3519 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3520 | + ibit7 * adv_sca_3 & |
|---|
| 3521 | ) * & |
|---|
| 3522 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 3523 | + ( ibit8 * adv_sca_5 & |
|---|
| 3524 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 3525 | ) |
|---|
| 3526 | |
|---|
| 3527 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 3528 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3529 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3530 | + ibit6 * adv_sca_1 & |
|---|
| 3531 | ) * & |
|---|
| 3532 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3533 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3534 | + ibit7 * adv_sca_3 & |
|---|
| 3535 | ) * & |
|---|
| 3536 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 3537 | + ( ibit8 * adv_sca_5 & |
|---|
| 3538 | ) * & |
|---|
| 3539 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 3540 | ) |
|---|
| 3541 | ! |
|---|
| 3542 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3543 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3544 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3545 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
|---|
| 3546 | - u(k,j,i) * ( IBITS(advc_flags_1(k,j,i-1),0,1) & |
|---|
| 3547 | + IBITS(advc_flags_1(k,j,i-1),1,1) & |
|---|
| 3548 | + IBITS(advc_flags_1(k,j,i-1),2,1) & |
|---|
| 3549 | ) & |
|---|
| 3550 | ) * ddx & |
|---|
| 3551 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
|---|
| 3552 | - v(k,j,i) * ( IBITS(advc_flags_1(k,j-1,i),3,1) & |
|---|
| 3553 | + IBITS(advc_flags_1(k,j-1,i),4,1) & |
|---|
| 3554 | + IBITS(advc_flags_1(k,j-1,i),5,1) & |
|---|
| 3555 | ) & |
|---|
| 3556 | ) * ddy & |
|---|
| 3557 | + ( w(k,j,i) * rho_air_zw(k) * & |
|---|
| 3558 | ( ibit6 + ibit7 + ibit8 ) & |
|---|
| 3559 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
|---|
| 3560 | ( IBITS(advc_flags_1(k-1,j,i),6,1) & |
|---|
| 3561 | + IBITS(advc_flags_1(k-1,j,i),7,1) & |
|---|
| 3562 | + IBITS(advc_flags_1(k-1,j,i),8,1) & |
|---|
| 3563 | ) & |
|---|
| 3564 | ) * drho_air(k) * ddzw(k) |
|---|
| 3565 | |
|---|
| 3566 | |
|---|
| 3567 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3568 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 3569 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 3570 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 3571 | swap_diss_y_local(k) ) * ddy & |
|---|
| 3572 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 3573 | ( flux_d + diss_d ) & |
|---|
| 3574 | ) * drho_air(k) * ddzw(k) & |
|---|
| 3575 | ) + sk(k,j,i) * div |
|---|
| 3576 | |
|---|
| 3577 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 3578 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 3579 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 3580 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 3581 | flux_d = flux_t(k) |
|---|
| 3582 | diss_d = diss_t(k) |
|---|
| 3583 | |
|---|
| 3584 | ENDDO |
|---|
| 3585 | |
|---|
| 3586 | DO k = nzb_max+1, nzt |
|---|
| 3587 | |
|---|
| 3588 | u_comp = u(k,j,i+1) - u_gtrans + u_stokes_zu(k) |
|---|
| 3589 | flux_r(k) = u_comp * ( & |
|---|
| 3590 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3591 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 3592 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 3593 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 3594 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3595 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 3596 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 3597 | |
|---|
| 3598 | v_comp = v(k,j+1,i) - v_gtrans + v_stokes_zu(k) |
|---|
| 3599 | flux_n(k) = v_comp * ( & |
|---|
| 3600 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3601 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 3602 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 3603 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 3604 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3605 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 3606 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 3607 | ! |
|---|
| 3608 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3609 | !-- subscripts will be exceeded. |
|---|
| 3610 | ibit8 = IBITS(advc_flags_1(k,j,i),8,1) |
|---|
| 3611 | ibit7 = IBITS(advc_flags_1(k,j,i),7,1) |
|---|
| 3612 | ibit6 = IBITS(advc_flags_1(k,j,i),6,1) |
|---|
| 3613 | |
|---|
| 3614 | k_ppp = k + 3 * ibit8 |
|---|
| 3615 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 3616 | k_mm = k - 2 * ibit8 |
|---|
| 3617 | |
|---|
| 3618 | |
|---|
| 3619 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 3620 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3621 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3622 | + ibit6 * adv_sca_1 & |
|---|
| 3623 | ) * & |
|---|
| 3624 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3625 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3626 | + ibit7 * adv_sca_3 & |
|---|
| 3627 | ) * & |
|---|
| 3628 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 3629 | + ( ibit8 * adv_sca_5 & |
|---|
| 3630 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 3631 | ) |
|---|
| 3632 | |
|---|
| 3633 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 3634 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3635 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3636 | + ibit6 * adv_sca_1 & |
|---|
| 3637 | ) * & |
|---|
| 3638 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3639 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3640 | + ibit7 * adv_sca_3 & |
|---|
| 3641 | ) * & |
|---|
| 3642 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 3643 | + ( ibit8 * adv_sca_5 & |
|---|
| 3644 | ) * & |
|---|
| 3645 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 3646 | ) |
|---|
| 3647 | ! |
|---|
| 3648 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3649 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3650 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3651 | div = ( u(k,j,i+1) - u(k,j,i) ) * ddx & |
|---|
| 3652 | + ( v(k,j+1,i) - v(k,j,i) ) * ddy & |
|---|
| 3653 | + ( w(k,j,i) * rho_air_zw(k) - & |
|---|
| 3654 | w(k-1,j,i) * rho_air_zw(k-1) & |
|---|
| 3655 | ) * drho_air(k) * ddzw(k) |
|---|
| 3656 | |
|---|
| 3657 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3658 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 3659 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 3660 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 3661 | swap_diss_y_local(k) ) * ddy & |
|---|
| 3662 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 3663 | ( flux_d + diss_d ) & |
|---|
| 3664 | ) * drho_air(k) * ddzw(k) & |
|---|
| 3665 | ) + sk(k,j,i) * div |
|---|
| 3666 | |
|---|
| 3667 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 3668 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 3669 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 3670 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 3671 | flux_d = flux_t(k) |
|---|
| 3672 | diss_d = diss_t(k) |
|---|
| 3673 | |
|---|
| 3674 | ENDDO |
|---|
| 3675 | ! |
|---|
| 3676 | !-- Evaluation of statistics. |
|---|
| 3677 | SELECT CASE ( sk_char ) |
|---|
| 3678 | |
|---|
| 3679 | CASE ( 'pt' ) |
|---|
| 3680 | DO k = nzb, nzt |
|---|
| 3681 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
|---|
| 3682 | + ( flux_t(k) & |
|---|
| 3683 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3684 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3685 | + diss_t(k) & |
|---|
| 3686 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3687 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3688 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3689 | ENDDO |
|---|
| 3690 | CASE ( 'sa' ) |
|---|
| 3691 | DO k = nzb, nzt |
|---|
| 3692 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
|---|
| 3693 | + ( flux_t(k) & |
|---|
| 3694 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3695 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3696 | + diss_t(k) & |
|---|
| 3697 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3698 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3699 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3700 | ENDDO |
|---|
| 3701 | CASE ( 'q' ) |
|---|
| 3702 | DO k = nzb, nzt |
|---|
| 3703 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
|---|
| 3704 | + ( flux_t(k) & |
|---|
| 3705 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3706 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3707 | + diss_t(k) & |
|---|
| 3708 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3709 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3710 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3711 | ENDDO |
|---|
| 3712 | CASE ( 'qc' ) |
|---|
| 3713 | DO k = nzb, nzt |
|---|
| 3714 | sums_wsqcs_ws_l(k,tn) = sums_wsqcs_ws_l(k,tn) & |
|---|
| 3715 | + ( flux_t(k) & |
|---|
| 3716 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3717 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3718 | + diss_t(k) & |
|---|
| 3719 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3720 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3721 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3722 | ENDDO |
|---|
| 3723 | CASE ( 'qr' ) |
|---|
| 3724 | DO k = nzb, nzt |
|---|
| 3725 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) & |
|---|
| 3726 | + ( flux_t(k) & |
|---|
| 3727 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3728 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3729 | + diss_t(k) & |
|---|
| 3730 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3731 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3732 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3733 | ENDDO |
|---|
| 3734 | CASE ( 'nc' ) |
|---|
| 3735 | DO k = nzb, nzt |
|---|
| 3736 | sums_wsncs_ws_l(k,tn) = sums_wsncs_ws_l(k,tn) & |
|---|
| 3737 | + ( flux_t(k) & |
|---|
| 3738 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3739 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3740 | + diss_t(k) & |
|---|
| 3741 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3742 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3743 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3744 | ENDDO |
|---|
| 3745 | CASE ( 'nr' ) |
|---|
| 3746 | DO k = nzb, nzt |
|---|
| 3747 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) & |
|---|
| 3748 | + ( flux_t(k) & |
|---|
| 3749 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3750 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3751 | + diss_t(k) & |
|---|
| 3752 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3753 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3754 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3755 | ENDDO |
|---|
| 3756 | CASE ( 's' ) |
|---|
| 3757 | DO k = nzb, nzt |
|---|
| 3758 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) & |
|---|
| 3759 | + ( flux_t(k) & |
|---|
| 3760 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3761 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3762 | + diss_t(k) & |
|---|
| 3763 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3764 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3765 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3766 | ENDDO |
|---|
| 3767 | |
|---|
| 3768 | CASE ( 'aerosol_mass', 'aerosol_number', 'salsa_gas' ) |
|---|
| 3769 | DO k = nzb, nzt |
|---|
| 3770 | sums_salsa_ws_l(k,tn) = sums_salsa_ws_l(k,tn) & |
|---|
| 3771 | + ( flux_t(k) & |
|---|
| 3772 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3773 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3774 | + diss_t(k) & |
|---|
| 3775 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3776 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3777 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3778 | ENDDO |
|---|
| 3779 | |
|---|
| 3780 | |
|---|
| 3781 | END SELECT |
|---|
| 3782 | |
|---|
| 3783 | ENDDO |
|---|
| 3784 | ENDDO |
|---|
| 3785 | |
|---|
| 3786 | END SUBROUTINE advec_s_ws |
|---|
| 3787 | |
|---|
| 3788 | |
|---|
| 3789 | !------------------------------------------------------------------------------! |
|---|
| 3790 | ! Description: |
|---|
| 3791 | ! ------------ |
|---|
| 3792 | !> Advection of u - Call for all grid points |
|---|
| 3793 | !------------------------------------------------------------------------------! |
|---|
| 3794 | SUBROUTINE advec_u_ws |
|---|
| 3795 | |
|---|
| 3796 | USE arrays_3d, & |
|---|
| 3797 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air_zw |
|---|
| 3798 | |
|---|
| 3799 | USE control_parameters, & |
|---|
| 3800 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 3801 | |
|---|
| 3802 | USE grid_variables, & |
|---|
| 3803 | ONLY: ddx, ddy |
|---|
| 3804 | |
|---|
| 3805 | USE indices, & |
|---|
| 3806 | ONLY: nxlu, nxr, nyn, nys, nzb, nzb_max, nzt, advc_flags_1 |
|---|
| 3807 | |
|---|
| 3808 | USE kinds |
|---|
| 3809 | |
|---|
| 3810 | USE statistics, & |
|---|
| 3811 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
|---|
| 3812 | |
|---|
| 3813 | IMPLICIT NONE |
|---|
| 3814 | |
|---|
| 3815 | INTEGER(iwp) :: i !< |
|---|
| 3816 | INTEGER(iwp) :: ibit9 !< |
|---|
| 3817 | INTEGER(iwp) :: ibit10 !< |
|---|
| 3818 | INTEGER(iwp) :: ibit11 !< |
|---|
| 3819 | INTEGER(iwp) :: ibit12 !< |
|---|
| 3820 | INTEGER(iwp) :: ibit13 !< |
|---|
| 3821 | INTEGER(iwp) :: ibit14 !< |
|---|
| 3822 | INTEGER(iwp) :: ibit15 !< |
|---|
| 3823 | INTEGER(iwp) :: ibit16 !< |
|---|
| 3824 | INTEGER(iwp) :: ibit17 !< |
|---|
| 3825 | INTEGER(iwp) :: j !< |
|---|
| 3826 | INTEGER(iwp) :: k !< |
|---|
| 3827 | INTEGER(iwp) :: k_mm !< |
|---|
| 3828 | INTEGER(iwp) :: k_pp !< |
|---|
| 3829 | INTEGER(iwp) :: k_ppp !< |
|---|
| 3830 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 3831 | |
|---|
| 3832 | REAL(wp) :: diss_d !< |
|---|
| 3833 | REAL(wp) :: div !< |
|---|
| 3834 | REAL(wp) :: flux_d !< |
|---|
| 3835 | REAL(wp) :: gu !< |
|---|
| 3836 | REAL(wp) :: gv !< |
|---|
| 3837 | REAL(wp) :: v_comp !< |
|---|
| 3838 | REAL(wp) :: w_comp !< |
|---|
| 3839 | |
|---|
| 3840 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u !< |
|---|
| 3841 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_u !< |
|---|
| 3842 | |
|---|
| 3843 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u !< |
|---|
| 3844 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_u !< |
|---|
| 3845 | |
|---|
| 3846 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 3847 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 3848 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 3849 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 3850 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 3851 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 3852 | REAL(wp), DIMENSION(nzb:nzt) :: u_comp !< |
|---|
| 3853 | |
|---|
| 3854 | gu = 2.0_wp * u_gtrans |
|---|
| 3855 | gv = 2.0_wp * v_gtrans |
|---|
| 3856 | |
|---|
| 3857 | ! |
|---|
| 3858 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 3859 | i = nxlu |
|---|
| 3860 | DO j = nys, nyn |
|---|
| 3861 | DO k = nzb+1, nzb_max |
|---|
| 3862 | |
|---|
| 3863 | ibit11 = IBITS(advc_flags_1(k,j,i-1),11,1) |
|---|
| 3864 | ibit10 = IBITS(advc_flags_1(k,j,i-1),10,1) |
|---|
| 3865 | ibit9 = IBITS(advc_flags_1(k,j,i-1),9,1) |
|---|
| 3866 | |
|---|
| 3867 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 3868 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 3869 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3870 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 3871 | + ibit9 * adv_mom_1 & |
|---|
| 3872 | ) * & |
|---|
| 3873 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 3874 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3875 | + ibit10 * adv_mom_3 & |
|---|
| 3876 | ) * & |
|---|
| 3877 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 3878 | + ( ibit11 * adv_mom_5 & |
|---|
| 3879 | ) * & |
|---|
| 3880 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 3881 | ) |
|---|
| 3882 | |
|---|
| 3883 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
|---|
| 3884 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3885 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 3886 | + ibit9 * adv_mom_1 & |
|---|
| 3887 | ) * & |
|---|
| 3888 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 3889 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3890 | + ibit10 * adv_mom_3 & |
|---|
| 3891 | ) * & |
|---|
| 3892 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 3893 | + ( ibit11 * adv_mom_5 & |
|---|
| 3894 | ) * & |
|---|
| 3895 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 3896 | ) |
|---|
| 3897 | |
|---|
| 3898 | ENDDO |
|---|
| 3899 | |
|---|
| 3900 | DO k = nzb_max+1, nzt |
|---|
| 3901 | |
|---|
| 3902 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 3903 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 3904 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 3905 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 3906 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3907 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
|---|
| 3908 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 3909 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 3910 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 3911 | |
|---|
| 3912 | ENDDO |
|---|
| 3913 | ENDDO |
|---|
| 3914 | |
|---|
| 3915 | DO i = nxlu, nxr |
|---|
| 3916 | ! |
|---|
| 3917 | !-- The following loop computes the fluxes for the south boundary points |
|---|
| 3918 | j = nys |
|---|
| 3919 | DO k = nzb+1, nzb_max |
|---|
| 3920 | |
|---|
| 3921 | ibit14 = IBITS(advc_flags_1(k,j-1,i),14,1) |
|---|
| 3922 | ibit13 = IBITS(advc_flags_1(k,j-1,i),13,1) |
|---|
| 3923 | ibit12 = IBITS(advc_flags_1(k,j-1,i),12,1) |
|---|
| 3924 | |
|---|
| 3925 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 3926 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 3927 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 3928 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 3929 | + ibit12 * adv_mom_1 & |
|---|
| 3930 | ) * & |
|---|
| 3931 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 3932 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 3933 | + ibit13 * adv_mom_3 & |
|---|
| 3934 | ) * & |
|---|
| 3935 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 3936 | + ( ibit14 * adv_mom_5 & |
|---|
| 3937 | ) * & |
|---|
| 3938 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 3939 | ) |
|---|
| 3940 | |
|---|
| 3941 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
|---|
| 3942 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 3943 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 3944 | + ibit12 * adv_mom_1 & |
|---|
| 3945 | ) * & |
|---|
| 3946 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 3947 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 3948 | + ibit13 * adv_mom_3 & |
|---|
| 3949 | ) * & |
|---|
| 3950 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 3951 | + ( ibit14 * adv_mom_5 & |
|---|
| 3952 | ) * & |
|---|
| 3953 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 3954 | ) |
|---|
| 3955 | |
|---|
| 3956 | ENDDO |
|---|
| 3957 | |
|---|
| 3958 | DO k = nzb_max+1, nzt |
|---|
| 3959 | |
|---|
| 3960 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 3961 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 3962 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 3963 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 3964 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3965 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
|---|
| 3966 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 3967 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 3968 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 3969 | |
|---|
| 3970 | ENDDO |
|---|
| 3971 | ! |
|---|
| 3972 | !-- Computation of interior fluxes and tendency terms |
|---|
| 3973 | DO j = nys, nyn |
|---|
| 3974 | |
|---|
| 3975 | flux_t(0) = 0.0_wp |
|---|
| 3976 | diss_t(0) = 0.0_wp |
|---|
| 3977 | flux_d = 0.0_wp |
|---|
| 3978 | diss_d = 0.0_wp |
|---|
| 3979 | |
|---|
| 3980 | DO k = nzb+1, nzb_max |
|---|
| 3981 | |
|---|
| 3982 | ibit11 = IBITS(advc_flags_1(k,j,i),11,1) |
|---|
| 3983 | ibit10 = IBITS(advc_flags_1(k,j,i),10,1) |
|---|
| 3984 | ibit9 = IBITS(advc_flags_1(k,j,i),9,1) |
|---|
| 3985 | |
|---|
| 3986 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 3987 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 3988 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3989 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 3990 | + ibit9 * adv_mom_1 & |
|---|
| 3991 | ) * & |
|---|
| 3992 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 3993 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 3994 | + ibit10 * adv_mom_3 & |
|---|
| 3995 | ) * & |
|---|
| 3996 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 3997 | + ( ibit11 * adv_mom_5 & |
|---|
| 3998 | ) * & |
|---|
| 3999 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 4000 | ) |
|---|
| 4001 | |
|---|
| 4002 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 4003 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4004 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 4005 | + ibit9 * adv_mom_1 & |
|---|
| 4006 | ) * & |
|---|
| 4007 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 4008 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4009 | + ibit10 * adv_mom_3 & |
|---|
| 4010 | ) * & |
|---|
| 4011 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 4012 | + ( ibit11 * adv_mom_5 & |
|---|
| 4013 | ) * & |
|---|
| 4014 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 4015 | ) |
|---|
| 4016 | |
|---|
| 4017 | ibit14 = IBITS(advc_flags_1(k,j,i),14,1) |
|---|
| 4018 | ibit13 = IBITS(advc_flags_1(k,j,i),13,1) |
|---|
| 4019 | ibit12 = IBITS(advc_flags_1(k,j,i),12,1) |
|---|
| 4020 | |
|---|
| 4021 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 4022 | flux_n(k) = v_comp * ( & |
|---|
| 4023 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4024 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4025 | + ibit12 * adv_mom_1 & |
|---|
| 4026 | ) * & |
|---|
| 4027 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 4028 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4029 | + ibit13 * adv_mom_3 & |
|---|
| 4030 | ) * & |
|---|
| 4031 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 4032 | + ( ibit14 * adv_mom_5 & |
|---|
| 4033 | ) * & |
|---|
| 4034 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 4035 | ) |
|---|
| 4036 | |
|---|
| 4037 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 4038 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4039 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4040 | + ibit12 * adv_mom_1 & |
|---|
| 4041 | ) * & |
|---|
| 4042 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 4043 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4044 | + ibit13 * adv_mom_3 & |
|---|
| 4045 | ) * & |
|---|
| 4046 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 4047 | + ( ibit14 * adv_mom_5 & |
|---|
| 4048 | ) * & |
|---|
| 4049 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 4050 | ) |
|---|
| 4051 | ! |
|---|
| 4052 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4053 | !-- subscripts will be exceeded. |
|---|
| 4054 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
|---|
| 4055 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
|---|
| 4056 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
|---|
| 4057 | |
|---|
| 4058 | k_ppp = k + 3 * ibit17 |
|---|
| 4059 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 4060 | k_mm = k - 2 * ibit17 |
|---|
| 4061 | |
|---|
| 4062 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 4063 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4064 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4065 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4066 | + ibit15 * adv_mom_1 & |
|---|
| 4067 | ) * & |
|---|
| 4068 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 4069 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4070 | + ibit16 * adv_mom_3 & |
|---|
| 4071 | ) * & |
|---|
| 4072 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 4073 | + ( ibit17 * adv_mom_5 & |
|---|
| 4074 | ) * & |
|---|
| 4075 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 4076 | ) |
|---|
| 4077 | |
|---|
| 4078 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4079 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4080 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4081 | + ibit15 * adv_mom_1 & |
|---|
| 4082 | ) * & |
|---|
| 4083 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 4084 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4085 | + ibit16 * adv_mom_3 & |
|---|
| 4086 | ) * & |
|---|
| 4087 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 4088 | + ( ibit17 * adv_mom_5 & |
|---|
| 4089 | ) * & |
|---|
| 4090 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 4091 | ) |
|---|
| 4092 | ! |
|---|
| 4093 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4094 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4095 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4096 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
|---|
| 4097 | - ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 4098 | * ( IBITS(advc_flags_1(k,j,i-1),9,1) & |
|---|
| 4099 | + IBITS(advc_flags_1(k,j,i-1),10,1) & |
|---|
| 4100 | + IBITS(advc_flags_1(k,j,i-1),11,1) & |
|---|
| 4101 | ) & |
|---|
| 4102 | ) * ddx & |
|---|
| 4103 | + ( ( v_comp + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
|---|
| 4104 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
|---|
| 4105 | * ( IBITS(advc_flags_1(k,j-1,i),12,1) & |
|---|
| 4106 | + IBITS(advc_flags_1(k,j-1,i),13,1) & |
|---|
| 4107 | + IBITS(advc_flags_1(k,j-1,i),14,1) & |
|---|
| 4108 | ) & |
|---|
| 4109 | ) * ddy & |
|---|
| 4110 | + ( w_comp * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 ) & |
|---|
| 4111 | - ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 4112 | * ( IBITS(advc_flags_1(k-1,j,i),15,1) & |
|---|
| 4113 | + IBITS(advc_flags_1(k-1,j,i),16,1) & |
|---|
| 4114 | + IBITS(advc_flags_1(k-1,j,i),17,1) & |
|---|
| 4115 | ) & |
|---|
| 4116 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4117 | ) * 0.5_wp |
|---|
| 4118 | |
|---|
| 4119 | |
|---|
| 4120 | |
|---|
| 4121 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4122 | ( flux_r(k) + diss_r(k) & |
|---|
| 4123 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 4124 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4125 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 4126 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4127 | - ( flux_d + diss_d ) & |
|---|
| 4128 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4129 | ) + div * u(k,j,i) |
|---|
| 4130 | |
|---|
| 4131 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 4132 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 4133 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 4134 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 4135 | flux_d = flux_t(k) |
|---|
| 4136 | diss_d = diss_t(k) |
|---|
| 4137 | ! |
|---|
| 4138 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 4139 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4140 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 4141 | + ( flux_r(k) & |
|---|
| 4142 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4143 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 4144 | + diss_r(k) & |
|---|
| 4145 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4146 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 4147 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4148 | ! |
|---|
| 4149 | !-- Statistical Evaluation of w'u'. |
|---|
| 4150 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 4151 | + ( flux_t(k) & |
|---|
| 4152 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4153 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4154 | + diss_t(k) & |
|---|
| 4155 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4156 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4157 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4158 | |
|---|
| 4159 | ENDDO |
|---|
| 4160 | |
|---|
| 4161 | DO k = nzb_max+1, nzt |
|---|
| 4162 | |
|---|
| 4163 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 4164 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 4165 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 4166 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 4167 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4168 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 4169 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 4170 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 4171 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4172 | |
|---|
| 4173 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 4174 | flux_n(k) = v_comp * ( & |
|---|
| 4175 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 4176 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 4177 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4178 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 4179 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 4180 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 4181 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4182 | ! |
|---|
| 4183 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4184 | !-- subscripts will be exceeded. |
|---|
| 4185 | ibit17 = IBITS(advc_flags_1(k,j,i),17,1) |
|---|
| 4186 | ibit16 = IBITS(advc_flags_1(k,j,i),16,1) |
|---|
| 4187 | ibit15 = IBITS(advc_flags_1(k,j,i),15,1) |
|---|
| 4188 | |
|---|
| 4189 | k_ppp = k + 3 * ibit17 |
|---|
| 4190 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 4191 | k_mm = k - 2 * ibit17 |
|---|
| 4192 | |
|---|
| 4193 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 4194 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4195 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4196 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4197 | + ibit15 * adv_mom_1 & |
|---|
| 4198 | ) * & |
|---|
| 4199 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 4200 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4201 | + ibit16 * adv_mom_3 & |
|---|
| 4202 | ) * & |
|---|
| 4203 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 4204 | + ( ibit17 * adv_mom_5 & |
|---|
| 4205 | ) * & |
|---|
| 4206 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 4207 | ) |
|---|
| 4208 | |
|---|
| 4209 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4210 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4211 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4212 | + ibit15 * adv_mom_1 & |
|---|
| 4213 | ) * & |
|---|
| 4214 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 4215 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4216 | + ibit16 * adv_mom_3 & |
|---|
| 4217 | ) * & |
|---|
| 4218 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 4219 | + ( ibit17 * adv_mom_5 & |
|---|
| 4220 | ) * & |
|---|
| 4221 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 4222 | ) |
|---|
| 4223 | ! |
|---|
| 4224 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4225 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4226 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4227 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 4228 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 4229 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 4230 | ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 4231 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4232 | ) * 0.5_wp |
|---|
| 4233 | |
|---|
| 4234 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4235 | ( flux_r(k) + diss_r(k) & |
|---|
| 4236 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 4237 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4238 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 4239 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4240 | - ( flux_d + diss_d ) & |
|---|
| 4241 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4242 | ) + div * u(k,j,i) |
|---|
| 4243 | |
|---|
| 4244 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 4245 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 4246 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 4247 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 4248 | flux_d = flux_t(k) |
|---|
| 4249 | diss_d = diss_t(k) |
|---|
| 4250 | ! |
|---|
| 4251 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 4252 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4253 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 4254 | + ( flux_r(k) & |
|---|
| 4255 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4256 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 4257 | + diss_r(k) & |
|---|
| 4258 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4259 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 4260 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4261 | ! |
|---|
| 4262 | !-- Statistical Evaluation of w'u'. |
|---|
| 4263 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 4264 | + ( flux_t(k) & |
|---|
| 4265 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4266 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4267 | + diss_t(k) & |
|---|
| 4268 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4269 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4270 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4271 | ENDDO |
|---|
| 4272 | ENDDO |
|---|
| 4273 | ENDDO |
|---|
| 4274 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 4275 | |
|---|
| 4276 | |
|---|
| 4277 | END SUBROUTINE advec_u_ws |
|---|
| 4278 | |
|---|
| 4279 | |
|---|
| 4280 | !------------------------------------------------------------------------------! |
|---|
| 4281 | ! Description: |
|---|
| 4282 | ! ------------ |
|---|
| 4283 | !> Advection of v - Call for all grid points |
|---|
| 4284 | !------------------------------------------------------------------------------! |
|---|
| 4285 | SUBROUTINE advec_v_ws |
|---|
| 4286 | |
|---|
| 4287 | USE arrays_3d, & |
|---|
| 4288 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air_zw |
|---|
| 4289 | |
|---|
| 4290 | USE control_parameters, & |
|---|
| 4291 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 4292 | |
|---|
| 4293 | USE grid_variables, & |
|---|
| 4294 | ONLY: ddx, ddy |
|---|
| 4295 | |
|---|
| 4296 | USE indices, & |
|---|
| 4297 | ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_max, nzt, advc_flags_1 |
|---|
| 4298 | |
|---|
| 4299 | USE kinds |
|---|
| 4300 | |
|---|
| 4301 | USE statistics, & |
|---|
| 4302 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
|---|
| 4303 | |
|---|
| 4304 | IMPLICIT NONE |
|---|
| 4305 | |
|---|
| 4306 | |
|---|
| 4307 | INTEGER(iwp) :: i !< |
|---|
| 4308 | INTEGER(iwp) :: ibit18 !< |
|---|
| 4309 | INTEGER(iwp) :: ibit19 !< |
|---|
| 4310 | INTEGER(iwp) :: ibit20 !< |
|---|
| 4311 | INTEGER(iwp) :: ibit21 !< |
|---|
| 4312 | INTEGER(iwp) :: ibit22 !< |
|---|
| 4313 | INTEGER(iwp) :: ibit23 !< |
|---|
| 4314 | INTEGER(iwp) :: ibit24 !< |
|---|
| 4315 | INTEGER(iwp) :: ibit25 !< |
|---|
| 4316 | INTEGER(iwp) :: ibit26 !< |
|---|
| 4317 | INTEGER(iwp) :: j !< |
|---|
| 4318 | INTEGER(iwp) :: k !< |
|---|
| 4319 | INTEGER(iwp) :: k_mm !< |
|---|
| 4320 | INTEGER(iwp) :: k_pp !< |
|---|
| 4321 | INTEGER(iwp) :: k_ppp !< |
|---|
| 4322 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 4323 | |
|---|
| 4324 | REAL(wp) :: diss_d !< |
|---|
| 4325 | REAL(wp) :: div !< |
|---|
| 4326 | REAL(wp) :: flux_d !< |
|---|
| 4327 | REAL(wp) :: gu !< |
|---|
| 4328 | REAL(wp) :: gv !< |
|---|
| 4329 | REAL(wp) :: u_comp !< |
|---|
| 4330 | REAL(wp) :: w_comp !< |
|---|
| 4331 | |
|---|
| 4332 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_v !< |
|---|
| 4333 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_v !< |
|---|
| 4334 | |
|---|
| 4335 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_v !< |
|---|
| 4336 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_v !< |
|---|
| 4337 | |
|---|
| 4338 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 4339 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 4340 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 4341 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 4342 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 4343 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 4344 | REAL(wp), DIMENSION(nzb:nzt) :: v_comp !< |
|---|
| 4345 | |
|---|
| 4346 | gu = 2.0_wp * u_gtrans |
|---|
| 4347 | gv = 2.0_wp * v_gtrans |
|---|
| 4348 | ! |
|---|
| 4349 | !-- First compute the whole left boundary of the processor domain |
|---|
| 4350 | i = nxl |
|---|
| 4351 | DO j = nysv, nyn |
|---|
| 4352 | DO k = nzb+1, nzb_max |
|---|
| 4353 | |
|---|
| 4354 | ibit20 = IBITS(advc_flags_1(k,j,i-1),20,1) |
|---|
| 4355 | ibit19 = IBITS(advc_flags_1(k,j,i-1),19,1) |
|---|
| 4356 | ibit18 = IBITS(advc_flags_1(k,j,i-1),18,1) |
|---|
| 4357 | |
|---|
| 4358 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 4359 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 4360 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4361 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4362 | + ibit18 * adv_mom_1 & |
|---|
| 4363 | ) * & |
|---|
| 4364 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 4365 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4366 | + ibit19 * adv_mom_3 & |
|---|
| 4367 | ) * & |
|---|
| 4368 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 4369 | + ( ibit20 * adv_mom_5 & |
|---|
| 4370 | ) * & |
|---|
| 4371 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 4372 | ) |
|---|
| 4373 | |
|---|
| 4374 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4375 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4376 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4377 | + ibit18 * adv_mom_1 & |
|---|
| 4378 | ) * & |
|---|
| 4379 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 4380 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4381 | + ibit19 * adv_mom_3 & |
|---|
| 4382 | ) * & |
|---|
| 4383 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 4384 | + ( ibit20 * adv_mom_5 & |
|---|
| 4385 | ) * & |
|---|
| 4386 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 4387 | ) |
|---|
| 4388 | |
|---|
| 4389 | ENDDO |
|---|
| 4390 | |
|---|
| 4391 | DO k = nzb_max+1, nzt |
|---|
| 4392 | |
|---|
| 4393 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 4394 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 4395 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 4396 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 4397 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4398 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4399 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 4400 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 4401 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4402 | |
|---|
| 4403 | ENDDO |
|---|
| 4404 | |
|---|
| 4405 | ENDDO |
|---|
| 4406 | |
|---|
| 4407 | DO i = nxl, nxr |
|---|
| 4408 | |
|---|
| 4409 | j = nysv |
|---|
| 4410 | DO k = nzb+1, nzb_max |
|---|
| 4411 | |
|---|
| 4412 | ibit23 = IBITS(advc_flags_1(k,j-1,i),23,1) |
|---|
| 4413 | ibit22 = IBITS(advc_flags_1(k,j-1,i),22,1) |
|---|
| 4414 | ibit21 = IBITS(advc_flags_1(k,j-1,i),21,1) |
|---|
| 4415 | |
|---|
| 4416 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 4417 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 4418 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4419 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4420 | + ibit21 * adv_mom_1 & |
|---|
| 4421 | ) * & |
|---|
| 4422 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4423 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4424 | + ibit22 * adv_mom_3 & |
|---|
| 4425 | ) * & |
|---|
| 4426 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 4427 | + ( ibit23 * adv_mom_5 & |
|---|
| 4428 | ) * & |
|---|
| 4429 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 4430 | ) |
|---|
| 4431 | |
|---|
| 4432 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 4433 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4434 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4435 | + ibit21 * adv_mom_1 & |
|---|
| 4436 | ) * & |
|---|
| 4437 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 4438 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4439 | + ibit22 * adv_mom_3 & |
|---|
| 4440 | ) * & |
|---|
| 4441 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 4442 | + ( ibit23 * adv_mom_5 & |
|---|
| 4443 | ) * & |
|---|
| 4444 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 4445 | ) |
|---|
| 4446 | |
|---|
| 4447 | ENDDO |
|---|
| 4448 | |
|---|
| 4449 | DO k = nzb_max+1, nzt |
|---|
| 4450 | |
|---|
| 4451 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 4452 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 4453 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4454 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 4455 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4456 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 4457 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 4458 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 4459 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4460 | |
|---|
| 4461 | ENDDO |
|---|
| 4462 | |
|---|
| 4463 | DO j = nysv, nyn |
|---|
| 4464 | |
|---|
| 4465 | flux_t(0) = 0.0_wp |
|---|
| 4466 | diss_t(0) = 0.0_wp |
|---|
| 4467 | flux_d = 0.0_wp |
|---|
| 4468 | diss_d = 0.0_wp |
|---|
| 4469 | |
|---|
| 4470 | DO k = nzb+1, nzb_max |
|---|
| 4471 | |
|---|
| 4472 | ibit20 = IBITS(advc_flags_1(k,j,i),20,1) |
|---|
| 4473 | ibit19 = IBITS(advc_flags_1(k,j,i),19,1) |
|---|
| 4474 | ibit18 = IBITS(advc_flags_1(k,j,i),18,1) |
|---|
| 4475 | |
|---|
| 4476 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 4477 | flux_r(k) = u_comp * ( & |
|---|
| 4478 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4479 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4480 | + ibit18 * adv_mom_1 & |
|---|
| 4481 | ) * & |
|---|
| 4482 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 4483 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4484 | + ibit19 * adv_mom_3 & |
|---|
| 4485 | ) * & |
|---|
| 4486 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 4487 | + ( ibit20 * adv_mom_5 & |
|---|
| 4488 | ) * & |
|---|
| 4489 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 4490 | ) |
|---|
| 4491 | |
|---|
| 4492 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 4493 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4494 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4495 | + ibit18 * adv_mom_1 & |
|---|
| 4496 | ) * & |
|---|
| 4497 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 4498 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4499 | + ibit19 * adv_mom_3 & |
|---|
| 4500 | ) * & |
|---|
| 4501 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 4502 | + ( ibit20 * adv_mom_5 & |
|---|
| 4503 | ) * & |
|---|
| 4504 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 4505 | ) |
|---|
| 4506 | |
|---|
| 4507 | ibit23 = IBITS(advc_flags_1(k,j,i),23,1) |
|---|
| 4508 | ibit22 = IBITS(advc_flags_1(k,j,i),22,1) |
|---|
| 4509 | ibit21 = IBITS(advc_flags_1(k,j,i),21,1) |
|---|
| 4510 | |
|---|
| 4511 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 4512 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 4513 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4514 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4515 | + ibit21 * adv_mom_1 & |
|---|
| 4516 | ) * & |
|---|
| 4517 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 4518 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4519 | + ibit22 * adv_mom_3 & |
|---|
| 4520 | ) * & |
|---|
| 4521 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 4522 | + ( ibit23 * adv_mom_5 & |
|---|
| 4523 | ) * & |
|---|
| 4524 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 4525 | ) |
|---|
| 4526 | |
|---|
| 4527 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 4528 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4529 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4530 | + ibit21 * adv_mom_1 & |
|---|
| 4531 | ) * & |
|---|
| 4532 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 4533 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4534 | + ibit22 * adv_mom_3 & |
|---|
| 4535 | ) * & |
|---|
| 4536 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 4537 | + ( ibit23 * adv_mom_5 & |
|---|
| 4538 | ) * & |
|---|
| 4539 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 4540 | ) |
|---|
| 4541 | ! |
|---|
| 4542 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4543 | !-- subscripts will be exceeded. |
|---|
| 4544 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
|---|
| 4545 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
|---|
| 4546 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
|---|
| 4547 | |
|---|
| 4548 | k_ppp = k + 3 * ibit26 |
|---|
| 4549 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 4550 | k_mm = k - 2 * ibit26 |
|---|
| 4551 | |
|---|
| 4552 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 4553 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4554 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4555 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4556 | + ibit24 * adv_mom_1 & |
|---|
| 4557 | ) * & |
|---|
| 4558 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 4559 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4560 | + ibit25 * adv_mom_3 & |
|---|
| 4561 | ) * & |
|---|
| 4562 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 4563 | + ( ibit26 * adv_mom_5 & |
|---|
| 4564 | ) * & |
|---|
| 4565 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 4566 | ) |
|---|
| 4567 | |
|---|
| 4568 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4569 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4570 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4571 | + ibit24 * adv_mom_1 & |
|---|
| 4572 | ) * & |
|---|
| 4573 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 4574 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4575 | + ibit25 * adv_mom_3 & |
|---|
| 4576 | ) * & |
|---|
| 4577 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 4578 | + ( ibit26 * adv_mom_5 & |
|---|
| 4579 | ) * & |
|---|
| 4580 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 4581 | ) |
|---|
| 4582 | ! |
|---|
| 4583 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4584 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4585 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4586 | div = ( ( ( u_comp + gu ) & |
|---|
| 4587 | * ( ibit18 + ibit19 + ibit20 ) & |
|---|
| 4588 | - ( u(k,j-1,i) + u(k,j,i) ) & |
|---|
| 4589 | * ( IBITS(advc_flags_1(k,j,i-1),18,1) & |
|---|
| 4590 | + IBITS(advc_flags_1(k,j,i-1),19,1) & |
|---|
| 4591 | + IBITS(advc_flags_1(k,j,i-1),20,1) & |
|---|
| 4592 | ) & |
|---|
| 4593 | ) * ddx & |
|---|
| 4594 | + ( v_comp(k) & |
|---|
| 4595 | * ( ibit21 + ibit22 + ibit23 ) & |
|---|
| 4596 | - ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4597 | * ( IBITS(advc_flags_1(k,j-1,i),21,1) & |
|---|
| 4598 | + IBITS(advc_flags_1(k,j-1,i),22,1) & |
|---|
| 4599 | + IBITS(advc_flags_1(k,j-1,i),23,1) & |
|---|
| 4600 | ) & |
|---|
| 4601 | ) * ddy & |
|---|
| 4602 | + ( w_comp * rho_air_zw(k) & |
|---|
| 4603 | * ( ibit24 + ibit25 + ibit26 ) & |
|---|
| 4604 | - ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 4605 | * ( IBITS(advc_flags_1(k-1,j,i),24,1) & |
|---|
| 4606 | + IBITS(advc_flags_1(k-1,j,i),25,1) & |
|---|
| 4607 | + IBITS(advc_flags_1(k-1,j,i),26,1) & |
|---|
| 4608 | ) & |
|---|
| 4609 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4610 | ) * 0.5_wp |
|---|
| 4611 | |
|---|
| 4612 | |
|---|
| 4613 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4614 | ( flux_r(k) + diss_r(k) & |
|---|
| 4615 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 4616 | ) * ddx & |
|---|
| 4617 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4618 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 4619 | ) * ddy & |
|---|
| 4620 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4621 | - ( flux_d + diss_d ) & |
|---|
| 4622 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4623 | ) + v(k,j,i) * div |
|---|
| 4624 | |
|---|
| 4625 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 4626 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 4627 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 4628 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 4629 | flux_d = flux_t(k) |
|---|
| 4630 | diss_d = diss_t(k) |
|---|
| 4631 | |
|---|
| 4632 | ! |
|---|
| 4633 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 4634 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4635 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 4636 | + ( flux_n(k) & |
|---|
| 4637 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4638 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 4639 | + diss_n(k) & |
|---|
| 4640 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4641 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 4642 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4643 | ! |
|---|
| 4644 | !-- Statistical Evaluation of w'u'. |
|---|
| 4645 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 4646 | + ( flux_t(k) & |
|---|
| 4647 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4648 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4649 | + diss_t(k) & |
|---|
| 4650 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4651 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4652 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4653 | |
|---|
| 4654 | ENDDO |
|---|
| 4655 | |
|---|
| 4656 | DO k = nzb_max+1, nzt |
|---|
| 4657 | |
|---|
| 4658 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 4659 | flux_r(k) = u_comp * ( & |
|---|
| 4660 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 4661 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 4662 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4663 | |
|---|
| 4664 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 4665 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 4666 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 4667 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4668 | |
|---|
| 4669 | |
|---|
| 4670 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 4671 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 4672 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 4673 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 4674 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4675 | |
|---|
| 4676 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 4677 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 4678 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 4679 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4680 | ! |
|---|
| 4681 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4682 | !-- subscripts will be exceeded. |
|---|
| 4683 | ibit26 = IBITS(advc_flags_1(k,j,i),26,1) |
|---|
| 4684 | ibit25 = IBITS(advc_flags_1(k,j,i),25,1) |
|---|
| 4685 | ibit24 = IBITS(advc_flags_1(k,j,i),24,1) |
|---|
| 4686 | |
|---|
| 4687 | k_ppp = k + 3 * ibit26 |
|---|
| 4688 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 4689 | k_mm = k - 2 * ibit26 |
|---|
| 4690 | |
|---|
| 4691 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 4692 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4693 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4694 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4695 | + ibit24 * adv_mom_1 & |
|---|
| 4696 | ) * & |
|---|
| 4697 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 4698 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4699 | + ibit25 * adv_mom_3 & |
|---|
| 4700 | ) * & |
|---|
| 4701 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 4702 | + ( ibit26 * adv_mom_5 & |
|---|
| 4703 | ) * & |
|---|
| 4704 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 4705 | ) |
|---|
| 4706 | |
|---|
| 4707 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4708 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4709 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4710 | + ibit24 * adv_mom_1 & |
|---|
| 4711 | ) * & |
|---|
| 4712 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 4713 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4714 | + ibit25 * adv_mom_3 & |
|---|
| 4715 | ) * & |
|---|
| 4716 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 4717 | + ( ibit26 * adv_mom_5 & |
|---|
| 4718 | ) * & |
|---|
| 4719 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 4720 | ) |
|---|
| 4721 | ! |
|---|
| 4722 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4723 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4724 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4725 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 4726 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 4727 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 4728 | ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 4729 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4730 | ) * 0.5_wp |
|---|
| 4731 | |
|---|
| 4732 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4733 | ( flux_r(k) + diss_r(k) & |
|---|
| 4734 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 4735 | ) * ddx & |
|---|
| 4736 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4737 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 4738 | ) * ddy & |
|---|
| 4739 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4740 | - ( flux_d + diss_d ) & |
|---|
| 4741 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4742 | ) + v(k,j,i) * div |
|---|
| 4743 | |
|---|
| 4744 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 4745 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 4746 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 4747 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 4748 | flux_d = flux_t(k) |
|---|
| 4749 | diss_d = diss_t(k) |
|---|
| 4750 | |
|---|
| 4751 | ! |
|---|
| 4752 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 4753 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4754 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 4755 | + ( flux_n(k) & |
|---|
| 4756 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4757 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 4758 | + diss_n(k) & |
|---|
| 4759 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4760 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 4761 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4762 | ! |
|---|
| 4763 | !-- Statistical Evaluation of w'u'. |
|---|
| 4764 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 4765 | + ( flux_t(k) & |
|---|
| 4766 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4767 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4768 | + diss_t(k) & |
|---|
| 4769 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4770 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4771 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4772 | |
|---|
| 4773 | ENDDO |
|---|
| 4774 | ENDDO |
|---|
| 4775 | ENDDO |
|---|
| 4776 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 4777 | |
|---|
| 4778 | |
|---|
| 4779 | END SUBROUTINE advec_v_ws |
|---|
| 4780 | |
|---|
| 4781 | |
|---|
| 4782 | !------------------------------------------------------------------------------! |
|---|
| 4783 | ! Description: |
|---|
| 4784 | ! ------------ |
|---|
| 4785 | !> Advection of w - Call for all grid points |
|---|
| 4786 | !------------------------------------------------------------------------------! |
|---|
| 4787 | SUBROUTINE advec_w_ws |
|---|
| 4788 | |
|---|
| 4789 | USE arrays_3d, & |
|---|
| 4790 | ONLY: ddzu, drho_air_zw, tend, u, v, w, rho_air |
|---|
| 4791 | |
|---|
| 4792 | USE control_parameters, & |
|---|
| 4793 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 4794 | |
|---|
| 4795 | USE grid_variables, & |
|---|
| 4796 | ONLY: ddx, ddy |
|---|
| 4797 | |
|---|
| 4798 | USE indices, & |
|---|
| 4799 | ONLY: nxl, nxr, nyn, nys, nzb, nzb_max, nzt, advc_flags_1, & |
|---|
| 4800 | advc_flags_2 |
|---|
| 4801 | |
|---|
| 4802 | USE kinds |
|---|
| 4803 | |
|---|
| 4804 | USE statistics, & |
|---|
| 4805 | ONLY: hom, sums_ws2_ws_l, weight_substep |
|---|
| 4806 | |
|---|
| 4807 | IMPLICIT NONE |
|---|
| 4808 | |
|---|
| 4809 | INTEGER(iwp) :: i !< |
|---|
| 4810 | INTEGER(iwp) :: ibit27 !< |
|---|
| 4811 | INTEGER(iwp) :: ibit28 !< |
|---|
| 4812 | INTEGER(iwp) :: ibit29 !< |
|---|
| 4813 | INTEGER(iwp) :: ibit30 !< |
|---|
| 4814 | INTEGER(iwp) :: ibit31 !< |
|---|
| 4815 | INTEGER(iwp) :: ibit32 !< |
|---|
| 4816 | INTEGER(iwp) :: ibit33 !< |
|---|
| 4817 | INTEGER(iwp) :: ibit34 !< |
|---|
| 4818 | INTEGER(iwp) :: ibit35 !< |
|---|
| 4819 | INTEGER(iwp) :: j !< |
|---|
| 4820 | INTEGER(iwp) :: k !< |
|---|
| 4821 | INTEGER(iwp) :: k_mm !< |
|---|
| 4822 | INTEGER(iwp) :: k_pp !< |
|---|
| 4823 | INTEGER(iwp) :: k_ppp !< |
|---|
| 4824 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 4825 | |
|---|
| 4826 | REAL(wp) :: diss_d !< |
|---|
| 4827 | REAL(wp) :: div !< |
|---|
| 4828 | REAL(wp) :: flux_d !< |
|---|
| 4829 | REAL(wp) :: gu !< |
|---|
| 4830 | REAL(wp) :: gv !< |
|---|
| 4831 | REAL(wp) :: u_comp !< |
|---|
| 4832 | REAL(wp) :: v_comp !< |
|---|
| 4833 | REAL(wp) :: w_comp !< |
|---|
| 4834 | |
|---|
| 4835 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 4836 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 4837 | |
|---|
| 4838 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_n !< |
|---|
| 4839 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_r !< |
|---|
| 4840 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_n !< |
|---|
| 4841 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_r !< |
|---|
| 4842 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_w !< |
|---|
| 4843 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_w !< |
|---|
| 4844 | |
|---|
| 4845 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_w !< |
|---|
| 4846 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_w !< |
|---|
| 4847 | |
|---|
| 4848 | gu = 2.0_wp * u_gtrans |
|---|
| 4849 | gv = 2.0_wp * v_gtrans |
|---|
| 4850 | ! |
|---|
| 4851 | !-- compute the whole left boundary of the processor domain |
|---|
| 4852 | i = nxl |
|---|
| 4853 | DO j = nys, nyn |
|---|
| 4854 | DO k = nzb+1, nzb_max |
|---|
| 4855 | |
|---|
| 4856 | ibit29 = IBITS(advc_flags_1(k,j,i-1),29,1) |
|---|
| 4857 | ibit28 = IBITS(advc_flags_1(k,j,i-1),28,1) |
|---|
| 4858 | ibit27 = IBITS(advc_flags_1(k,j,i-1),27,1) |
|---|
| 4859 | |
|---|
| 4860 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 4861 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 4862 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4863 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 4864 | + ibit27 * adv_mom_1 & |
|---|
| 4865 | ) * & |
|---|
| 4866 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 4867 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4868 | + ibit28 * adv_mom_3 & |
|---|
| 4869 | ) * & |
|---|
| 4870 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 4871 | + ( ibit29 * adv_mom_5 & |
|---|
| 4872 | ) * & |
|---|
| 4873 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 4874 | ) |
|---|
| 4875 | |
|---|
| 4876 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4877 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4878 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 4879 | + ibit27 * adv_mom_1 & |
|---|
| 4880 | ) * & |
|---|
| 4881 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 4882 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4883 | + ibit28 * adv_mom_3 & |
|---|
| 4884 | ) * & |
|---|
| 4885 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 4886 | + ( ibit29 * adv_mom_5 & |
|---|
| 4887 | ) * & |
|---|
| 4888 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 4889 | ) |
|---|
| 4890 | |
|---|
| 4891 | ENDDO |
|---|
| 4892 | |
|---|
| 4893 | DO k = nzb_max+1, nzt |
|---|
| 4894 | |
|---|
| 4895 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 4896 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 4897 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 4898 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 4899 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4900 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4901 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 4902 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 4903 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4904 | |
|---|
| 4905 | ENDDO |
|---|
| 4906 | |
|---|
| 4907 | ENDDO |
|---|
| 4908 | |
|---|
| 4909 | DO i = nxl, nxr |
|---|
| 4910 | |
|---|
| 4911 | j = nys |
|---|
| 4912 | DO k = nzb+1, nzb_max |
|---|
| 4913 | |
|---|
| 4914 | ibit32 = IBITS(advc_flags_2(k,j-1,i),0,1) |
|---|
| 4915 | ibit31 = IBITS(advc_flags_1(k,j-1,i),31,1) |
|---|
| 4916 | ibit30 = IBITS(advc_flags_1(k,j-1,i),30,1) |
|---|
| 4917 | |
|---|
| 4918 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 4919 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 4920 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 4921 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 4922 | + ibit30 * adv_mom_1 & |
|---|
| 4923 | ) * & |
|---|
| 4924 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 4925 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 4926 | + ibit31 * adv_mom_3 & |
|---|
| 4927 | ) * & |
|---|
| 4928 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 4929 | + ( ibit32 * adv_mom_5 & |
|---|
| 4930 | ) * & |
|---|
| 4931 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 4932 | ) |
|---|
| 4933 | |
|---|
| 4934 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 4935 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 4936 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 4937 | + ibit30 * adv_mom_1 & |
|---|
| 4938 | ) * & |
|---|
| 4939 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 4940 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 4941 | + ibit31 * adv_mom_3 & |
|---|
| 4942 | ) * & |
|---|
| 4943 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 4944 | + ( ibit32 * adv_mom_5 & |
|---|
| 4945 | ) * & |
|---|
| 4946 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 4947 | ) |
|---|
| 4948 | |
|---|
| 4949 | ENDDO |
|---|
| 4950 | |
|---|
| 4951 | DO k = nzb_max+1, nzt |
|---|
| 4952 | |
|---|
| 4953 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 4954 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 4955 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 4956 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 4957 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4958 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 4959 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 4960 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 4961 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4962 | |
|---|
| 4963 | ENDDO |
|---|
| 4964 | |
|---|
| 4965 | DO j = nys, nyn |
|---|
| 4966 | |
|---|
| 4967 | ! |
|---|
| 4968 | !-- The lower flux has to be calculated explicetely for the tendency |
|---|
| 4969 | !-- at the first w-level. For topography wall this is done implicitely |
|---|
| 4970 | !-- by advc_flags_1. |
|---|
| 4971 | k = nzb + 1 |
|---|
| 4972 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 4973 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 4974 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 4975 | flux_d = flux_t(0) |
|---|
| 4976 | diss_d = diss_t(0) |
|---|
| 4977 | |
|---|
| 4978 | DO k = nzb+1, nzb_max |
|---|
| 4979 | |
|---|
| 4980 | ibit29 = IBITS(advc_flags_1(k,j,i),29,1) |
|---|
| 4981 | ibit28 = IBITS(advc_flags_1(k,j,i),28,1) |
|---|
| 4982 | ibit27 = IBITS(advc_flags_1(k,j,i),27,1) |
|---|
| 4983 | |
|---|
| 4984 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 4985 | flux_r(k) = u_comp * ( & |
|---|
| 4986 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4987 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 4988 | + ibit27 * adv_mom_1 & |
|---|
| 4989 | ) * & |
|---|
| 4990 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 4991 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 4992 | + ibit28 * adv_mom_3 & |
|---|
| 4993 | ) * & |
|---|
| 4994 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 4995 | + ( ibit29 * adv_mom_5 & |
|---|
| 4996 | ) * & |
|---|
| 4997 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 4998 | ) |
|---|
| 4999 | |
|---|
| 5000 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 5001 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5002 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 5003 | + ibit27 * adv_mom_1 & |
|---|
| 5004 | ) * & |
|---|
| 5005 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 5006 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5007 | + ibit28 * adv_mom_3 & |
|---|
| 5008 | ) * & |
|---|
| 5009 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 5010 | + ( ibit29 * adv_mom_5 & |
|---|
| 5011 | ) * & |
|---|
| 5012 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 5013 | ) |
|---|
| 5014 | |
|---|
| 5015 | ibit32 = IBITS(advc_flags_2(k,j,i),0,1) |
|---|
| 5016 | ibit31 = IBITS(advc_flags_1(k,j,i),31,1) |
|---|
| 5017 | ibit30 = IBITS(advc_flags_1(k,j,i),30,1) |
|---|
| 5018 | |
|---|
| 5019 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 5020 | flux_n(k) = v_comp * ( & |
|---|
| 5021 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5022 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5023 | + ibit30 * adv_mom_1 & |
|---|
| 5024 | ) * & |
|---|
| 5025 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 5026 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5027 | + ibit31 * adv_mom_3 & |
|---|
| 5028 | ) * & |
|---|
| 5029 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 5030 | + ( ibit32 * adv_mom_5 & |
|---|
| 5031 | ) * & |
|---|
| 5032 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 5033 | ) |
|---|
| 5034 | |
|---|
| 5035 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 5036 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5037 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5038 | + ibit30 * adv_mom_1 & |
|---|
| 5039 | ) * & |
|---|
| 5040 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 5041 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5042 | + ibit31 * adv_mom_3 & |
|---|
| 5043 | ) * & |
|---|
| 5044 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 5045 | + ( ibit32 * adv_mom_5 & |
|---|
| 5046 | ) * & |
|---|
| 5047 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 5048 | ) |
|---|
| 5049 | ! |
|---|
| 5050 | !-- k index has to be modified near bottom and top, else array |
|---|
| 5051 | !-- subscripts will be exceeded. |
|---|
| 5052 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
|---|
| 5053 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
|---|
| 5054 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
|---|
| 5055 | |
|---|
| 5056 | k_ppp = k + 3 * ibit35 |
|---|
| 5057 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 5058 | k_mm = k - 2 * ibit35 |
|---|
| 5059 | |
|---|
| 5060 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 5061 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 5062 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5063 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5064 | + ibit33 * adv_mom_1 & |
|---|
| 5065 | ) * & |
|---|
| 5066 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 5067 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5068 | + ibit34 * adv_mom_3 & |
|---|
| 5069 | ) * & |
|---|
| 5070 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 5071 | + ( ibit35 * adv_mom_5 & |
|---|
| 5072 | ) * & |
|---|
| 5073 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 5074 | ) |
|---|
| 5075 | |
|---|
| 5076 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 5077 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5078 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5079 | + ibit33 * adv_mom_1 & |
|---|
| 5080 | ) * & |
|---|
| 5081 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 5082 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5083 | + ibit34 * adv_mom_3 & |
|---|
| 5084 | ) * & |
|---|
| 5085 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 5086 | + ( ibit35 * adv_mom_5 & |
|---|
| 5087 | ) * & |
|---|
| 5088 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 5089 | ) |
|---|
| 5090 | ! |
|---|
| 5091 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 5092 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 5093 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 5094 | div = ( ( ( u_comp + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
|---|
| 5095 | - ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 5096 | * ( IBITS(advc_flags_1(k,j,i-1),27,1) & |
|---|
| 5097 | + IBITS(advc_flags_1(k,j,i-1),28,1) & |
|---|
| 5098 | + IBITS(advc_flags_1(k,j,i-1),29,1) & |
|---|
| 5099 | ) & |
|---|
| 5100 | ) * ddx & |
|---|
| 5101 | + ( ( v_comp + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
|---|
| 5102 | - ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 5103 | * ( IBITS(advc_flags_1(k,j-1,i),30,1) & |
|---|
| 5104 | + IBITS(advc_flags_1(k,j-1,i),31,1) & |
|---|
| 5105 | + IBITS(advc_flags_2(k,j-1,i),0,1) & |
|---|
| 5106 | ) & |
|---|
| 5107 | ) * ddy & |
|---|
| 5108 | + ( w_comp * rho_air(k+1) * ( ibit33 + ibit34 + ibit35 ) & |
|---|
| 5109 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 5110 | * ( IBITS(advc_flags_2(k-1,j,i),1,1) & |
|---|
| 5111 | + IBITS(advc_flags_2(k-1,j,i),2,1) & |
|---|
| 5112 | + IBITS(advc_flags_2(k-1,j,i),3,1) & |
|---|
| 5113 | ) & |
|---|
| 5114 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5115 | ) * 0.5_wp |
|---|
| 5116 | |
|---|
| 5117 | |
|---|
| 5118 | |
|---|
| 5119 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 5120 | ( flux_r(k) + diss_r(k) & |
|---|
| 5121 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 5122 | ) * ddx & |
|---|
| 5123 | + ( flux_n(k) + diss_n(k) & |
|---|
| 5124 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 5125 | ) * ddy & |
|---|
| 5126 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 5127 | - ( flux_d + diss_d ) & |
|---|
| 5128 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5129 | ) + div * w(k,j,i) |
|---|
| 5130 | |
|---|
| 5131 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 5132 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 5133 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 5134 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 5135 | flux_d = flux_t(k) |
|---|
| 5136 | diss_d = diss_t(k) |
|---|
| 5137 | |
|---|
| 5138 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 5139 | + ( flux_t(k) & |
|---|
| 5140 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5141 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 5142 | + diss_t(k) & |
|---|
| 5143 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5144 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 5145 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5146 | |
|---|
| 5147 | ENDDO |
|---|
| 5148 | |
|---|
| 5149 | DO k = nzb_max+1, nzt |
|---|
| 5150 | |
|---|
| 5151 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 5152 | flux_r(k) = u_comp * ( & |
|---|
| 5153 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 5154 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 5155 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 5156 | |
|---|
| 5157 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 5158 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 5159 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 5160 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 5161 | |
|---|
| 5162 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 5163 | flux_n(k) = v_comp * ( & |
|---|
| 5164 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 5165 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 5166 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 5167 | |
|---|
| 5168 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 5169 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 5170 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 5171 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 5172 | ! |
|---|
| 5173 | !-- k index has to be modified near bottom and top, else array |
|---|
| 5174 | !-- subscripts will be exceeded. |
|---|
| 5175 | ibit35 = IBITS(advc_flags_2(k,j,i),3,1) |
|---|
| 5176 | ibit34 = IBITS(advc_flags_2(k,j,i),2,1) |
|---|
| 5177 | ibit33 = IBITS(advc_flags_2(k,j,i),1,1) |
|---|
| 5178 | |
|---|
| 5179 | k_ppp = k + 3 * ibit35 |
|---|
| 5180 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 5181 | k_mm = k - 2 * ibit35 |
|---|
| 5182 | |
|---|
| 5183 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 5184 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 5185 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5186 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5187 | + ibit33 * adv_mom_1 & |
|---|
| 5188 | ) * & |
|---|
| 5189 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 5190 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5191 | + ibit34 * adv_mom_3 & |
|---|
| 5192 | ) * & |
|---|
| 5193 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 5194 | + ( ibit35 * adv_mom_5 & |
|---|
| 5195 | ) * & |
|---|
| 5196 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 5197 | ) |
|---|
| 5198 | |
|---|
| 5199 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 5200 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5201 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5202 | + ibit33 * adv_mom_1 & |
|---|
| 5203 | ) * & |
|---|
| 5204 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 5205 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5206 | + ibit34 * adv_mom_3 & |
|---|
| 5207 | ) * & |
|---|
| 5208 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 5209 | + ( ibit35 * adv_mom_5 & |
|---|
| 5210 | ) * & |
|---|
| 5211 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 5212 | ) |
|---|
| 5213 | ! |
|---|
| 5214 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 5215 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 5216 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 5217 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 5218 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 5219 | + ( w_comp * rho_air(k+1) - & |
|---|
| 5220 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 5221 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5222 | ) * 0.5_wp |
|---|
| 5223 | |
|---|
| 5224 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 5225 | ( flux_r(k) + diss_r(k) & |
|---|
| 5226 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 5227 | ) * ddx & |
|---|
| 5228 | + ( flux_n(k) + diss_n(k) & |
|---|
| 5229 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 5230 | ) * ddy & |
|---|
| 5231 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 5232 | - ( flux_d + diss_d ) & |
|---|
| 5233 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5234 | ) + div * w(k,j,i) |
|---|
| 5235 | |
|---|
| 5236 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 5237 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 5238 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 5239 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 5240 | flux_d = flux_t(k) |
|---|
| 5241 | diss_d = diss_t(k) |
|---|
| 5242 | |
|---|
| 5243 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 5244 | + ( flux_t(k) & |
|---|
| 5245 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5246 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 5247 | + diss_t(k) & |
|---|
| 5248 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5249 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 5250 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5251 | |
|---|
| 5252 | ENDDO |
|---|
| 5253 | ENDDO |
|---|
| 5254 | ENDDO |
|---|
| 5255 | |
|---|
| 5256 | END SUBROUTINE advec_w_ws |
|---|
| 5257 | |
|---|
| 5258 | END MODULE advec_ws |
|---|
