| 1 | !> @file advec_ws.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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| 18 | !------------------------------------------------------------------------------! |
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| 19 | ! |
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| 20 | ! Current revisions: |
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| 21 | ! ------------------ |
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| 22 | ! |
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| 23 | ! |
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| 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: advec_ws.f90 2119 2017-01-17 16:51:50Z raasch $ |
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| 27 | ! |
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| 28 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 29 | ! OpenACC version of subroutines removed |
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| 30 | ! |
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| 31 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 32 | ! Anelastic approximation implemented |
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| 33 | ! |
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| 34 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 35 | ! Forced header and separation lines into 80 columns |
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| 36 | ! |
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| 37 | ! 1996 2016-08-18 11:42:29Z suehring |
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| 38 | ! Bugfix concerning calculation of turbulent of turbulent fluxes |
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| 39 | ! |
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| 40 | ! 1960 2016-07-12 16:34:24Z suehring |
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| 41 | ! Separate humidity and passive scalar |
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| 42 | ! |
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| 43 | ! 1942 2016-06-14 12:18:18Z suehring |
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| 44 | ! Initialization of flags for ws-scheme moved from init_grid. |
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| 45 | ! |
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| 46 | ! 1873 2016-04-18 14:50:06Z maronga |
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| 47 | ! Module renamed (removed _mod) |
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| 48 | ! |
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| 49 | ! |
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| 50 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 51 | ! Module renamed |
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| 52 | ! |
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| 53 | ! |
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| 54 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 55 | ! icloud_scheme removed, microphysics_seifert added |
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| 56 | ! |
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| 57 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 58 | ! Code annotations made doxygen readable |
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| 59 | ! |
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| 60 | ! 1630 2015-08-26 16:57:23Z suehring |
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| 61 | ! |
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| 62 | ! |
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| 63 | ! 1629 2015-08-26 16:56:11Z suehring |
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| 64 | ! Bugfix concerning wall_flags at left and south PE boundaries |
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| 65 | ! |
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| 66 | ! 1581 2015-04-10 13:45:59Z suehring |
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| 67 | ! |
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| 68 | ! |
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| 69 | ! 1580 2015-04-10 13:43:49Z suehring |
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| 70 | ! Bugfix: statistical evaluation of scalar fluxes in case of monotonic limiter |
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| 71 | ! |
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| 72 | ! 1567 2015-03-10 17:57:55Z suehring |
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| 73 | ! Bugfixes in monotonic limiter. |
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| 74 | ! |
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| 75 | ! 2015-03-09 13:10:37Z heinze |
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| 76 | ! Bugfix: REAL constants provided with KIND-attribute in call of |
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| 77 | ! intrinsic functions like MAX and MIN |
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| 78 | ! |
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| 79 | ! 1557 2015-03-05 16:43:04Z suehring |
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| 80 | ! Enable monotone advection for scalars using monotonic limiter |
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| 81 | ! |
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| 82 | ! 1374 2014-04-25 12:55:07Z raasch |
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| 83 | ! missing variables added to ONLY list |
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| 84 | ! |
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| 85 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 86 | ! accelerator and vector version for qr and nr added |
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| 87 | ! |
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| 88 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 89 | ! REAL constants provided with KIND-attribute, |
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| 90 | ! module kinds added |
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| 91 | ! some formatting adjustments |
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| 92 | ! |
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| 93 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 94 | ! REAL constants defined as wp-kind |
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| 95 | ! |
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| 96 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 97 | ! ONLY-attribute added to USE-statements, |
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| 98 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 99 | ! kinds are defined in new module kinds, |
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| 100 | ! old module precision_kind is removed, |
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| 101 | ! revision history before 2012 removed, |
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| 102 | ! comment fields (!:) to be used for variable explanations added to |
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| 103 | ! all variable declaration statements |
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| 104 | ! |
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| 105 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 106 | ! accelerator loop directives removed |
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| 107 | ! |
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| 108 | ! 1221 2013-09-10 08:59:13Z raasch |
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| 109 | ! wall_flags_00 introduced, which holds bits 32-... |
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| 110 | ! |
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| 111 | ! 1128 2013-04-12 06:19:32Z raasch |
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| 112 | ! loop index bounds in accelerator version replaced by i_left, i_right, j_south, |
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| 113 | ! j_north |
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| 114 | ! |
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| 115 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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| 116 | ! calculation of qr and nr is restricted to precipitation |
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| 117 | ! |
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| 118 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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| 119 | ! necessary expansions according to the two new prognostic equations (nr, qr) |
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| 120 | ! of the two-moment cloud physics scheme: |
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| 121 | ! +flux_l_*, flux_s_*, diss_l_*, diss_s_*, sums_ws*s_ws_l |
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| 122 | ! |
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| 123 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 124 | ! code put under GPL (PALM 3.9) |
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| 125 | ! |
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| 126 | ! 1027 2012-10-15 17:18:39Z suehring |
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| 127 | ! Bugfix in calculation indices k_mm, k_pp in accelerator version |
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| 128 | ! |
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| 129 | ! 1019 2012-09-28 06:46:45Z raasch |
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| 130 | ! small change in comment lines |
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| 131 | ! |
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| 132 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 133 | ! accelerator versions (*_acc) added |
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| 134 | ! |
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| 135 | ! 1010 2012-09-20 07:59:54Z raasch |
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| 136 | ! cpp switch __nopointer added for pointer free version |
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| 137 | ! |
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| 138 | ! 888 2012-04-20 15:03:46Z suehring |
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| 139 | ! Number of IBITS() calls with identical arguments is reduced. |
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| 140 | ! |
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| 141 | ! 862 2012-03-26 14:21:38Z suehring |
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| 142 | ! ws-scheme also work with topography in combination with vector version. |
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| 143 | ! ws-scheme also work with outflow boundaries in combination with |
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| 144 | ! vector version. |
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| 145 | ! Degradation of the applied order of scheme is now steered by multiplying with |
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| 146 | ! Integer wall_flags_0. 2nd order scheme, WS3 and WS5 are calculated on each |
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| 147 | ! grid point and mulitplied with the appropriate flag. |
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| 148 | ! 2nd order numerical dissipation term changed. Now the appropriate 2nd order |
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| 149 | ! term derived according to the 4th and 6th order terms is applied. It turns |
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| 150 | ! out that diss_2nd does not provide sufficient dissipation near walls. |
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| 151 | ! Therefore, the function diss_2nd is removed. |
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| 152 | ! Near walls a divergence correction is necessary to overcome numerical |
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| 153 | ! instabilities due to too less divergence reduction of the velocity field. |
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| 154 | ! boundary_flags and logicals steering the degradation are removed. |
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| 155 | ! Empty SUBROUTINE local_diss removed. |
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| 156 | ! Further formatting adjustments. |
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| 157 | ! |
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| 158 | ! 801 2012-01-10 17:30:36Z suehring |
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| 159 | ! Bugfix concerning OpenMP parallelization. Summation of sums_wsus_ws_l, |
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| 160 | ! sums_wsvs_ws_l, sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wspts_ws_l, |
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| 161 | ! sums_wsqs_ws_l, sums_wssas_ws_l is now thread-safe by adding an additional |
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| 162 | ! dimension. |
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| 163 | ! |
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| 164 | ! Initial revision |
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| 165 | ! |
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| 166 | ! 411 2009-12-11 12:31:43 Z suehring |
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| 167 | ! |
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| 168 | ! Description: |
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| 169 | ! ------------ |
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| 170 | !> Advection scheme for scalars and momentum using the flux formulation of |
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| 171 | !> Wicker and Skamarock 5th order. Additionally the module contains of a |
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| 172 | !> routine using for initialisation and steering of the statical evaluation. |
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| 173 | !> The computation of turbulent fluxes takes place inside the advection |
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| 174 | !> routines. |
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| 175 | !> Near non-cyclic boundaries the order of the applied advection scheme is |
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| 176 | !> degraded. |
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| 177 | !> A divergence correction is applied. It is necessary for topography, since |
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| 178 | !> the divergence is not sufficiently reduced, resulting in erroneous fluxes and |
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| 179 | !> partly numerical instabilities. |
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| 180 | !-----------------------------------------------------------------------------! |
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| 181 | MODULE advec_ws |
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| 182 | |
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| 183 | |
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| 184 | |
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| 185 | PRIVATE |
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| 186 | PUBLIC advec_s_ws, advec_u_ws, advec_v_ws, advec_w_ws, ws_init, & |
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| 187 | ws_init_flags, ws_statistics |
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| 188 | |
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| 189 | INTERFACE ws_init |
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| 190 | MODULE PROCEDURE ws_init |
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| 191 | END INTERFACE ws_init |
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| 192 | |
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| 193 | INTERFACE ws_init_flags |
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| 194 | MODULE PROCEDURE ws_init_flags |
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| 195 | END INTERFACE ws_init_flags |
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| 196 | |
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| 197 | INTERFACE ws_statistics |
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| 198 | MODULE PROCEDURE ws_statistics |
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| 199 | END INTERFACE ws_statistics |
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| 200 | |
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| 201 | INTERFACE advec_s_ws |
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| 202 | MODULE PROCEDURE advec_s_ws |
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| 203 | MODULE PROCEDURE advec_s_ws_ij |
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| 204 | END INTERFACE advec_s_ws |
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| 205 | |
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| 206 | INTERFACE advec_u_ws |
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| 207 | MODULE PROCEDURE advec_u_ws |
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| 208 | MODULE PROCEDURE advec_u_ws_ij |
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| 209 | END INTERFACE advec_u_ws |
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| 210 | |
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| 211 | INTERFACE advec_v_ws |
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| 212 | MODULE PROCEDURE advec_v_ws |
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| 213 | MODULE PROCEDURE advec_v_ws_ij |
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| 214 | END INTERFACE advec_v_ws |
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| 215 | |
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| 216 | INTERFACE advec_w_ws |
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| 217 | MODULE PROCEDURE advec_w_ws |
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| 218 | MODULE PROCEDURE advec_w_ws_ij |
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| 219 | END INTERFACE advec_w_ws |
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| 220 | |
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| 221 | CONTAINS |
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| 222 | |
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| 223 | |
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| 224 | !------------------------------------------------------------------------------! |
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| 225 | ! Description: |
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| 226 | ! ------------ |
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| 227 | !> Initialization of WS-scheme |
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| 228 | !------------------------------------------------------------------------------! |
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| 229 | SUBROUTINE ws_init |
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| 230 | |
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| 231 | USE arrays_3d, & |
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| 232 | ONLY: diss_l_e, diss_l_nr, diss_l_pt, diss_l_q, diss_l_qr, & |
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| 233 | diss_l_s, diss_l_sa, diss_l_u, diss_l_v, diss_l_w, flux_l_e,& |
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| 234 | flux_l_nr, flux_l_pt, flux_l_q, flux_l_qr, flux_l_s, & |
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| 235 | flux_l_sa, flux_l_u, flux_l_v, flux_l_w, diss_s_e, diss_s_nr,& |
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| 236 | diss_s_pt, diss_s_q, diss_s_qr, diss_s_s, diss_s_sa, & |
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| 237 | diss_s_u, diss_s_v, diss_s_w, flux_s_e, flux_s_nr, flux_s_pt,& |
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| 238 | flux_s_q, flux_s_qr, flux_s_s, flux_s_sa, flux_s_u, flux_s_v,& |
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| 239 | flux_s_w |
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| 240 | |
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| 241 | USE constants, & |
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| 242 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5, adv_sca_1, adv_sca_3, & |
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| 243 | adv_sca_5 |
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| 244 | |
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| 245 | USE control_parameters, & |
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| 246 | ONLY: cloud_physics, humidity, loop_optimization, & |
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| 247 | monotonic_adjustment, passive_scalar, microphysics_seifert, & |
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| 248 | ocean, ws_scheme_mom, ws_scheme_sca |
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| 249 | |
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| 250 | USE indices, & |
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| 251 | ONLY: nyn, nys, nzb, nzt |
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| 252 | |
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| 253 | USE kinds |
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| 254 | |
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| 255 | USE pegrid |
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| 256 | |
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| 257 | USE statistics, & |
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| 258 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsnrs_ws_l,& |
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| 259 | sums_wspts_ws_l, sums_wsqrs_ws_l, sums_wsqs_ws_l, & |
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| 260 | sums_wsss_ws_l, sums_wssas_ws_l, sums_wsss_ws_l, & |
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| 261 | sums_wsus_ws_l, sums_wsvs_ws_l |
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| 262 | |
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| 263 | ! |
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| 264 | !-- Set the appropriate factors for scalar and momentum advection. |
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| 265 | adv_sca_5 = 1.0_wp / 60.0_wp |
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| 266 | adv_sca_3 = 1.0_wp / 12.0_wp |
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| 267 | adv_sca_1 = 1.0_wp / 2.0_wp |
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| 268 | adv_mom_5 = 1.0_wp / 120.0_wp |
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| 269 | adv_mom_3 = 1.0_wp / 24.0_wp |
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| 270 | adv_mom_1 = 1.0_wp / 4.0_wp |
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| 271 | ! |
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| 272 | !-- Arrays needed for statical evaluation of fluxes. |
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| 273 | IF ( ws_scheme_mom ) THEN |
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| 274 | |
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| 275 | ALLOCATE( sums_wsus_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 276 | sums_wsvs_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 277 | sums_us2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 278 | sums_vs2_ws_l(nzb:nzt+1,0:threads_per_task-1), & |
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| 279 | sums_ws2_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 280 | |
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| 281 | sums_wsus_ws_l = 0.0_wp |
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| 282 | sums_wsvs_ws_l = 0.0_wp |
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| 283 | sums_us2_ws_l = 0.0_wp |
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| 284 | sums_vs2_ws_l = 0.0_wp |
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| 285 | sums_ws2_ws_l = 0.0_wp |
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| 286 | |
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| 287 | ENDIF |
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| 288 | |
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| 289 | IF ( ws_scheme_sca ) THEN |
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| 290 | |
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| 291 | ALLOCATE( sums_wspts_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 292 | sums_wspts_ws_l = 0.0_wp |
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| 293 | |
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| 294 | IF ( humidity ) THEN |
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| 295 | ALLOCATE( sums_wsqs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 296 | sums_wsqs_ws_l = 0.0_wp |
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| 297 | ENDIF |
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| 298 | |
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| 299 | IF ( passive_scalar ) THEN |
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| 300 | ALLOCATE( sums_wsss_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 301 | sums_wsss_ws_l = 0.0_wp |
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| 302 | ENDIF |
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| 303 | |
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| 304 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
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| 305 | ALLOCATE( sums_wsqrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 306 | ALLOCATE( sums_wsnrs_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 307 | sums_wsqrs_ws_l = 0.0_wp |
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| 308 | sums_wsnrs_ws_l = 0.0_wp |
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| 309 | ENDIF |
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| 310 | |
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| 311 | IF ( ocean ) THEN |
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| 312 | ALLOCATE( sums_wssas_ws_l(nzb:nzt+1,0:threads_per_task-1) ) |
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| 313 | sums_wssas_ws_l = 0.0_wp |
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| 314 | ENDIF |
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| 315 | |
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| 316 | ENDIF |
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| 317 | |
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| 318 | ! |
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| 319 | !-- Arrays needed for reasons of speed optimization for cache version. |
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| 320 | !-- For the vector version the buffer arrays are not necessary, |
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| 321 | !-- because the the fluxes can swapped directly inside the loops of the |
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| 322 | !-- advection routines. |
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| 323 | IF ( loop_optimization /= 'vector' ) THEN |
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| 324 | |
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| 325 | IF ( ws_scheme_mom ) THEN |
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| 326 | |
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| 327 | ALLOCATE( flux_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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| 328 | flux_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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| 329 | flux_s_w(nzb+1:nzt,0:threads_per_task-1), & |
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| 330 | diss_s_u(nzb+1:nzt,0:threads_per_task-1), & |
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| 331 | diss_s_v(nzb+1:nzt,0:threads_per_task-1), & |
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| 332 | diss_s_w(nzb+1:nzt,0:threads_per_task-1) ) |
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| 333 | ALLOCATE( flux_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 334 | flux_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 335 | flux_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 336 | diss_l_u(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 337 | diss_l_v(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 338 | diss_l_w(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 339 | |
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| 340 | ENDIF |
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| 341 | |
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| 342 | IF ( ws_scheme_sca ) THEN |
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| 343 | |
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| 344 | ALLOCATE( flux_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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| 345 | flux_s_e(nzb+1:nzt,0:threads_per_task-1), & |
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| 346 | diss_s_pt(nzb+1:nzt,0:threads_per_task-1), & |
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| 347 | diss_s_e(nzb+1:nzt,0:threads_per_task-1) ) |
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| 348 | ALLOCATE( flux_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 349 | flux_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 350 | diss_l_pt(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 351 | diss_l_e(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 352 | |
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| 353 | IF ( humidity ) THEN |
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| 354 | ALLOCATE( flux_s_q(nzb+1:nzt,0:threads_per_task-1), & |
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| 355 | diss_s_q(nzb+1:nzt,0:threads_per_task-1) ) |
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| 356 | ALLOCATE( flux_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 357 | diss_l_q(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 358 | ENDIF |
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| 359 | |
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| 360 | IF ( passive_scalar ) THEN |
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| 361 | ALLOCATE( flux_s_s(nzb+1:nzt,0:threads_per_task-1), & |
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| 362 | diss_s_s(nzb+1:nzt,0:threads_per_task-1) ) |
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| 363 | ALLOCATE( flux_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 364 | diss_l_s(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 365 | ENDIF |
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| 366 | |
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| 367 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
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| 368 | ALLOCATE( flux_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
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| 369 | diss_s_qr(nzb+1:nzt,0:threads_per_task-1), & |
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| 370 | flux_s_nr(nzb+1:nzt,0:threads_per_task-1), & |
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| 371 | diss_s_nr(nzb+1:nzt,0:threads_per_task-1) ) |
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| 372 | ALLOCATE( flux_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 373 | diss_l_qr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 374 | flux_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
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| 375 | diss_l_nr(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
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| 376 | ENDIF |
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| 377 | |
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| 378 | IF ( ocean ) THEN |
|---|
| 379 | ALLOCATE( flux_s_sa(nzb+1:nzt,0:threads_per_task-1), & |
|---|
| 380 | diss_s_sa(nzb+1:nzt,0:threads_per_task-1) ) |
|---|
| 381 | ALLOCATE( flux_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1), & |
|---|
| 382 | diss_l_sa(nzb+1:nzt,nys:nyn,0:threads_per_task-1) ) |
|---|
| 383 | ENDIF |
|---|
| 384 | |
|---|
| 385 | ENDIF |
|---|
| 386 | |
|---|
| 387 | ENDIF |
|---|
| 388 | |
|---|
| 389 | END SUBROUTINE ws_init |
|---|
| 390 | |
|---|
| 391 | !------------------------------------------------------------------------------! |
|---|
| 392 | ! Description: |
|---|
| 393 | ! ------------ |
|---|
| 394 | !> Initialization of flags for WS-scheme used to degrade the order of the scheme |
|---|
| 395 | !> near walls. |
|---|
| 396 | !------------------------------------------------------------------------------! |
|---|
| 397 | SUBROUTINE ws_init_flags |
|---|
| 398 | |
|---|
| 399 | USE control_parameters, & |
|---|
| 400 | ONLY: inflow_l, inflow_n, inflow_r, inflow_s, momentum_advec, & |
|---|
| 401 | nest_bound_l, nest_bound_n, nest_bound_r, nest_bound_s, & |
|---|
| 402 | outflow_l, outflow_n, outflow_r, outflow_s, scalar_advec |
|---|
| 403 | |
|---|
| 404 | USE indices, & |
|---|
| 405 | ONLY: nbgp, nxl, nxlu, nxr, nyn, nys, nysv, nzb, nzb_s_inner, & |
|---|
| 406 | nzb_u_inner, nzb_v_inner, nzb_w_inner, nzt, wall_flags_0, & |
|---|
| 407 | wall_flags_00 |
|---|
| 408 | |
|---|
| 409 | USE kinds |
|---|
| 410 | |
|---|
| 411 | IMPLICIT NONE |
|---|
| 412 | |
|---|
| 413 | INTEGER(iwp) :: i !< index variable along x |
|---|
| 414 | INTEGER(iwp) :: j !< index variable along y |
|---|
| 415 | INTEGER(iwp) :: k !< index variable along z |
|---|
| 416 | |
|---|
| 417 | LOGICAL :: flag_set !< steering variable for advection flags |
|---|
| 418 | |
|---|
| 419 | |
|---|
| 420 | IF ( scalar_advec == 'ws-scheme' .OR. & |
|---|
| 421 | scalar_advec == 'ws-scheme-mono' ) THEN |
|---|
| 422 | ! |
|---|
| 423 | !-- Set flags to steer the degradation of the advection scheme in advec_ws |
|---|
| 424 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
|---|
| 425 | !-- top of model domain. wall_flags_0 remains zero for all non-prognostic |
|---|
| 426 | !-- grid points. |
|---|
| 427 | DO i = nxl, nxr |
|---|
| 428 | DO j = nys, nyn |
|---|
| 429 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 430 | ! |
|---|
| 431 | !-- scalar - x-direction |
|---|
| 432 | !-- WS1 (0), WS3 (1), WS5 (2) |
|---|
| 433 | IF ( ( k <= nzb_s_inner(j,i+1) .OR. k <= nzb_s_inner(j,i+2) & |
|---|
| 434 | .OR. k <= nzb_s_inner(j,i-1) ) & |
|---|
| 435 | .OR. ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 436 | .AND. i == nxl ) .OR. & |
|---|
| 437 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 438 | .AND. i == nxr ) ) & |
|---|
| 439 | THEN |
|---|
| 440 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 0 ) |
|---|
| 441 | ELSEIF ( ( k <= nzb_s_inner(j,i+3) .AND. k > nzb_s_inner(j,i+1)& |
|---|
| 442 | .AND. k > nzb_s_inner(j,i+2)& |
|---|
| 443 | .AND. k > nzb_s_inner(j,i-1)& |
|---|
| 444 | ) .OR. & |
|---|
| 445 | ( k <= nzb_s_inner(j,i-2) .AND. k > nzb_s_inner(j,i+1)& |
|---|
| 446 | .AND. k > nzb_s_inner(j,i+2)& |
|---|
| 447 | .AND. k > nzb_s_inner(j,i-1)& |
|---|
| 448 | ) & |
|---|
| 449 | .OR. & |
|---|
| 450 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 451 | .AND. i == nxr-1 ) .OR. & |
|---|
| 452 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 453 | .AND. i == nxlu ) ) & |
|---|
| 454 | THEN |
|---|
| 455 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 1 ) |
|---|
| 456 | ELSEIF ( k > nzb_s_inner(j,i+1) .AND. k > nzb_s_inner(j,i+2)& |
|---|
| 457 | .AND. k > nzb_s_inner(j,i+3) .AND. k > nzb_s_inner(j,i-1)& |
|---|
| 458 | .AND. k > nzb_s_inner(j,i-2) ) & |
|---|
| 459 | THEN |
|---|
| 460 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 2 ) |
|---|
| 461 | ENDIF |
|---|
| 462 | ! |
|---|
| 463 | !-- scalar - y-direction |
|---|
| 464 | !-- WS1 (3), WS3 (4), WS5 (5) |
|---|
| 465 | IF ( ( k <= nzb_s_inner(j+1,i) .OR. k <= nzb_s_inner(j+2,i) & |
|---|
| 466 | .OR. k <= nzb_s_inner(j-1,i) ) & |
|---|
| 467 | .OR. & |
|---|
| 468 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 469 | .AND. j == nys ) .OR. & |
|---|
| 470 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 471 | .AND. j == nyn ) ) & |
|---|
| 472 | THEN |
|---|
| 473 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 3 ) |
|---|
| 474 | ! |
|---|
| 475 | !-- WS3 |
|---|
| 476 | ELSEIF ( ( k <= nzb_s_inner(j+3,i) .AND. k > nzb_s_inner(j+1,i)& |
|---|
| 477 | .AND. k > nzb_s_inner(j+2,i)& |
|---|
| 478 | .AND. k > nzb_s_inner(j-1,i)& |
|---|
| 479 | ) .OR. & |
|---|
| 480 | ( k <= nzb_s_inner(j-2,i) .AND. k > nzb_s_inner(j+1,i)& |
|---|
| 481 | .AND. k > nzb_s_inner(j+2,i)& |
|---|
| 482 | .AND. k > nzb_s_inner(j-1,i)& |
|---|
| 483 | ) & |
|---|
| 484 | .OR. & |
|---|
| 485 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 486 | .AND. j == nysv ) .OR. & |
|---|
| 487 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 488 | .AND. j == nyn-1 ) ) & |
|---|
| 489 | THEN |
|---|
| 490 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 4 ) |
|---|
| 491 | ! |
|---|
| 492 | !-- WS5 |
|---|
| 493 | ELSEIF ( k > nzb_s_inner(j+1,i) .AND. k > nzb_s_inner(j+2,i)& |
|---|
| 494 | .AND. k > nzb_s_inner(j+3,i) .AND. k > nzb_s_inner(j-1,i)& |
|---|
| 495 | .AND. k > nzb_s_inner(j-2,i) ) & |
|---|
| 496 | THEN |
|---|
| 497 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 5 ) |
|---|
| 498 | ENDIF |
|---|
| 499 | ! |
|---|
| 500 | !-- scalar - z-direction |
|---|
| 501 | !-- WS1 (6), WS3 (7), WS5 (8) |
|---|
| 502 | flag_set = .FALSE. |
|---|
| 503 | IF ( k == nzb_s_inner(j,i) + 1 .OR. k == nzt ) THEN |
|---|
| 504 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 6 ) |
|---|
| 505 | flag_set = .TRUE. |
|---|
| 506 | ELSEIF ( k == nzb_s_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN |
|---|
| 507 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 7 ) |
|---|
| 508 | flag_set = .TRUE. |
|---|
| 509 | ELSEIF ( k > nzb_s_inner(j,i) .AND. .NOT. flag_set ) THEN |
|---|
| 510 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 8 ) |
|---|
| 511 | ENDIF |
|---|
| 512 | |
|---|
| 513 | ENDDO |
|---|
| 514 | ENDDO |
|---|
| 515 | ENDDO |
|---|
| 516 | ENDIF |
|---|
| 517 | |
|---|
| 518 | IF ( momentum_advec == 'ws-scheme' ) THEN |
|---|
| 519 | ! |
|---|
| 520 | !-- Set wall_flags_0 to steer the degradation of the advection scheme in advec_ws |
|---|
| 521 | !-- near topography, inflow- and outflow boundaries as well as bottom and |
|---|
| 522 | !-- top of model domain. wall_flags_0 remains zero for all non-prognostic |
|---|
| 523 | !-- grid points. |
|---|
| 524 | DO i = nxl, nxr |
|---|
| 525 | DO j = nys, nyn |
|---|
| 526 | DO k = nzb+1, nzt |
|---|
| 527 | ! |
|---|
| 528 | !-- At first, set flags to WS1. |
|---|
| 529 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 530 | !-- in order to handle the left/south flux. |
|---|
| 531 | !-- near vertical walls. |
|---|
| 532 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 ) |
|---|
| 533 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 ) |
|---|
| 534 | ! |
|---|
| 535 | !-- u component - x-direction |
|---|
| 536 | !-- WS1 (9), WS3 (10), WS5 (11) |
|---|
| 537 | IF ( k <= nzb_u_inner(j,i+1) .OR. & |
|---|
| 538 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 539 | .AND. i <= nxlu ) .OR. & |
|---|
| 540 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 541 | .AND. i == nxr ) ) & |
|---|
| 542 | THEN |
|---|
| 543 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 9 ) |
|---|
| 544 | ELSEIF ( ( k <= nzb_u_inner(j,i+2) .AND. & |
|---|
| 545 | k > nzb_u_inner(j,i+1) ) .OR. & |
|---|
| 546 | k <= nzb_u_inner(j,i-1) & |
|---|
| 547 | .OR. & |
|---|
| 548 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 549 | .AND. i == nxr-1 ) .OR. & |
|---|
| 550 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 551 | .AND. i == nxlu+1) ) & |
|---|
| 552 | THEN |
|---|
| 553 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 10 ) |
|---|
| 554 | ! |
|---|
| 555 | !-- Clear flag for WS1 |
|---|
| 556 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 ) |
|---|
| 557 | ELSEIF ( k > nzb_u_inner(j,i+1) .AND. k > nzb_u_inner(j,i+2) & |
|---|
| 558 | .AND. k > nzb_u_inner(j,i-1) ) & |
|---|
| 559 | THEN |
|---|
| 560 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 11 ) |
|---|
| 561 | ! |
|---|
| 562 | !-- Clear flag for WS1 |
|---|
| 563 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 9 ) |
|---|
| 564 | ENDIF |
|---|
| 565 | ! |
|---|
| 566 | !-- u component - y-direction |
|---|
| 567 | !-- WS1 (12), WS3 (13), WS5 (14) |
|---|
| 568 | IF ( k <= nzb_u_inner(j+1,i) .OR. & |
|---|
| 569 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 570 | .AND. j == nys ) .OR. & |
|---|
| 571 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 572 | .AND. j == nyn ) ) & |
|---|
| 573 | THEN |
|---|
| 574 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 12 ) |
|---|
| 575 | ELSEIF ( ( k <= nzb_u_inner(j+2,i) .AND. & |
|---|
| 576 | k > nzb_u_inner(j+1,i) ) .OR. & |
|---|
| 577 | k <= nzb_u_inner(j-1,i) & |
|---|
| 578 | .OR. & |
|---|
| 579 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 580 | .AND. j == nysv ) .OR. & |
|---|
| 581 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 582 | .AND. j == nyn-1 ) ) & |
|---|
| 583 | THEN |
|---|
| 584 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 13 ) |
|---|
| 585 | ! |
|---|
| 586 | !-- Clear flag for WS1 |
|---|
| 587 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 ) |
|---|
| 588 | ELSEIF ( k > nzb_u_inner(j+1,i) .AND. k > nzb_u_inner(j+2,i) & |
|---|
| 589 | .AND. k > nzb_u_inner(j-1,i) ) & |
|---|
| 590 | THEN |
|---|
| 591 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 14 ) |
|---|
| 592 | ! |
|---|
| 593 | !-- Clear flag for WS1 |
|---|
| 594 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 12 ) |
|---|
| 595 | ENDIF |
|---|
| 596 | ! |
|---|
| 597 | !-- u component - z-direction |
|---|
| 598 | !-- WS1 (15), WS3 (16), WS5 (17) |
|---|
| 599 | flag_set = .FALSE. |
|---|
| 600 | IF ( k == nzb_u_inner(j,i) + 1 .OR. k == nzt ) THEN |
|---|
| 601 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 15 ) |
|---|
| 602 | flag_set = .TRUE. |
|---|
| 603 | ELSEIF ( k == nzb_u_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN |
|---|
| 604 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 16 ) |
|---|
| 605 | flag_set = .TRUE. |
|---|
| 606 | ELSEIF ( k > nzb_u_inner(j,i) .AND. .NOT. flag_set ) THEN |
|---|
| 607 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 17 ) |
|---|
| 608 | ENDIF |
|---|
| 609 | |
|---|
| 610 | ENDDO |
|---|
| 611 | ENDDO |
|---|
| 612 | ENDDO |
|---|
| 613 | |
|---|
| 614 | DO i = nxl, nxr |
|---|
| 615 | DO j = nys, nyn |
|---|
| 616 | DO k = nzb+1, nzt |
|---|
| 617 | ! |
|---|
| 618 | !-- At first, set flags to WS1. |
|---|
| 619 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 620 | !-- in order to handle the left/south flux. |
|---|
| 621 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 ) |
|---|
| 622 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 ) |
|---|
| 623 | ! |
|---|
| 624 | !-- v component - x-direction |
|---|
| 625 | !-- WS1 (18), WS3 (19), WS5 (20) |
|---|
| 626 | IF ( k <= nzb_v_inner(j,i+1) .OR. & |
|---|
| 627 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 628 | .AND. i == nxl ) .OR. & |
|---|
| 629 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 630 | .AND. i == nxr ) ) & |
|---|
| 631 | THEN |
|---|
| 632 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 18 ) |
|---|
| 633 | ! |
|---|
| 634 | !-- WS3 |
|---|
| 635 | ELSEIF ( ( k <= nzb_v_inner(j,i+2) .AND. & |
|---|
| 636 | k > nzb_v_inner(j,i+1) ) .OR. & |
|---|
| 637 | k <= nzb_v_inner(j,i-1) & |
|---|
| 638 | .OR. & |
|---|
| 639 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 640 | .AND. i == nxr-1 ) .OR. & |
|---|
| 641 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 642 | .AND. i == nxlu ) ) & |
|---|
| 643 | THEN |
|---|
| 644 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 19 ) |
|---|
| 645 | ! |
|---|
| 646 | !-- Clear flag for WS1 |
|---|
| 647 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 ) |
|---|
| 648 | ELSEIF ( k > nzb_v_inner(j,i+1) .AND. k > nzb_v_inner(j,i+2) & |
|---|
| 649 | .AND. k > nzb_v_inner(j,i-1) ) & |
|---|
| 650 | THEN |
|---|
| 651 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 20 ) |
|---|
| 652 | ! |
|---|
| 653 | !-- Clear flag for WS1 |
|---|
| 654 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 18 ) |
|---|
| 655 | ENDIF |
|---|
| 656 | ! |
|---|
| 657 | !-- v component - y-direction |
|---|
| 658 | !-- WS1 (21), WS3 (22), WS5 (23) |
|---|
| 659 | IF ( k <= nzb_v_inner(j+1,i) .OR. & |
|---|
| 660 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 661 | .AND. j <= nysv ) .OR. & |
|---|
| 662 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 663 | .AND. j == nyn ) ) & |
|---|
| 664 | THEN |
|---|
| 665 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 21 ) |
|---|
| 666 | ELSEIF ( ( k <= nzb_v_inner(j+2,i) .AND. & |
|---|
| 667 | k > nzb_v_inner(j+1,i) ) .OR. & |
|---|
| 668 | k <= nzb_v_inner(j-1,i) & |
|---|
| 669 | .OR. & |
|---|
| 670 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 671 | .AND. j == nysv+1) .OR. & |
|---|
| 672 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 673 | .AND. j == nyn-1 ) ) & |
|---|
| 674 | THEN |
|---|
| 675 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 22 ) |
|---|
| 676 | ! |
|---|
| 677 | !-- Clear flag for WS1 |
|---|
| 678 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 ) |
|---|
| 679 | ELSEIF ( k > nzb_v_inner(j+1,i) .AND. k > nzb_v_inner(j+2,i) & |
|---|
| 680 | .AND. k > nzb_v_inner(j-1,i) ) & |
|---|
| 681 | THEN |
|---|
| 682 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 23 ) |
|---|
| 683 | ! |
|---|
| 684 | !-- Clear flag for WS1 |
|---|
| 685 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 21 ) |
|---|
| 686 | ENDIF |
|---|
| 687 | ! |
|---|
| 688 | !-- v component - z-direction |
|---|
| 689 | !-- WS1 (24), WS3 (25), WS5 (26) |
|---|
| 690 | flag_set = .FALSE. |
|---|
| 691 | IF ( k == nzb_v_inner(j,i) + 1 .OR. k == nzt ) THEN |
|---|
| 692 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 24 ) |
|---|
| 693 | flag_set = .TRUE. |
|---|
| 694 | ELSEIF ( k == nzb_v_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN |
|---|
| 695 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 25 ) |
|---|
| 696 | flag_set = .TRUE. |
|---|
| 697 | ELSEIF ( k > nzb_v_inner(j,i) .AND. .NOT. flag_set ) THEN |
|---|
| 698 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 26 ) |
|---|
| 699 | ENDIF |
|---|
| 700 | |
|---|
| 701 | ENDDO |
|---|
| 702 | ENDDO |
|---|
| 703 | ENDDO |
|---|
| 704 | DO i = nxl, nxr |
|---|
| 705 | DO j = nys, nyn |
|---|
| 706 | DO k = nzb+1, nzt |
|---|
| 707 | ! |
|---|
| 708 | !-- At first, set flags to WS1. |
|---|
| 709 | !-- Since fluxes are swapped in advec_ws.f90, this is necessary to |
|---|
| 710 | !-- in order to handle the left/south flux. |
|---|
| 711 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 ) |
|---|
| 712 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 ) |
|---|
| 713 | ! |
|---|
| 714 | !-- w component - x-direction |
|---|
| 715 | !-- WS1 (27), WS3 (28), WS5 (29) |
|---|
| 716 | IF ( k <= nzb_w_inner(j,i+1) .OR. & |
|---|
| 717 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 718 | .AND. i == nxl ) .OR. & |
|---|
| 719 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 720 | .AND. i == nxr ) ) & |
|---|
| 721 | THEN |
|---|
| 722 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 27 ) |
|---|
| 723 | ELSEIF ( ( k <= nzb_w_inner(j,i+2) .AND. & |
|---|
| 724 | k > nzb_w_inner(j,i+1) ) .OR. & |
|---|
| 725 | k <= nzb_w_inner(j,i-1) & |
|---|
| 726 | .OR. & |
|---|
| 727 | ( ( inflow_r .OR. outflow_r .OR. nest_bound_r ) & |
|---|
| 728 | .AND. i == nxr-1 ) .OR. & |
|---|
| 729 | ( ( inflow_l .OR. outflow_l .OR. nest_bound_l ) & |
|---|
| 730 | .AND. i == nxlu ) ) & |
|---|
| 731 | THEN |
|---|
| 732 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 28 ) |
|---|
| 733 | ! |
|---|
| 734 | !-- Clear flag for WS1 |
|---|
| 735 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 ) |
|---|
| 736 | ELSEIF ( k > nzb_w_inner(j,i+1) .AND. k > nzb_w_inner(j,i+2) & |
|---|
| 737 | .AND. k > nzb_w_inner(j,i-1) ) & |
|---|
| 738 | THEN |
|---|
| 739 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i),29 ) |
|---|
| 740 | ! |
|---|
| 741 | !-- Clear flag for WS1 |
|---|
| 742 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 27 ) |
|---|
| 743 | ENDIF |
|---|
| 744 | ! |
|---|
| 745 | !-- w component - y-direction |
|---|
| 746 | !-- WS1 (30), WS3 (31), WS5 (32) |
|---|
| 747 | IF ( k <= nzb_w_inner(j+1,i) .OR. & |
|---|
| 748 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 749 | .AND. j == nys ) .OR. & |
|---|
| 750 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 751 | .AND. j == nyn ) ) & |
|---|
| 752 | THEN |
|---|
| 753 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 30 ) |
|---|
| 754 | ELSEIF ( ( k <= nzb_w_inner(j+2,i) .AND. & |
|---|
| 755 | k > nzb_w_inner(j+1,i) ) .OR. & |
|---|
| 756 | k <= nzb_w_inner(j-1,i) & |
|---|
| 757 | .OR. & |
|---|
| 758 | ( ( inflow_s .OR. outflow_s .OR. nest_bound_s ) & |
|---|
| 759 | .AND. j == nysv ) .OR. & |
|---|
| 760 | ( ( inflow_n .OR. outflow_n .OR. nest_bound_n ) & |
|---|
| 761 | .AND. j == nyn-1 ) ) & |
|---|
| 762 | THEN |
|---|
| 763 | wall_flags_0(k,j,i) = IBSET( wall_flags_0(k,j,i), 31 ) |
|---|
| 764 | ! |
|---|
| 765 | !-- Clear flag for WS1 |
|---|
| 766 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 ) |
|---|
| 767 | ELSEIF ( k > nzb_w_inner(j+1,i) .AND. k > nzb_w_inner(j+2,i) & |
|---|
| 768 | .AND. k > nzb_w_inner(j-1,i) ) & |
|---|
| 769 | THEN |
|---|
| 770 | wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 0 ) |
|---|
| 771 | ! |
|---|
| 772 | !-- Clear flag for WS1 |
|---|
| 773 | wall_flags_0(k,j,i) = IBCLR( wall_flags_0(k,j,i), 30 ) |
|---|
| 774 | ENDIF |
|---|
| 775 | ! |
|---|
| 776 | !-- w component - z-direction |
|---|
| 777 | !-- WS1 (33), WS3 (34), WS5 (35) |
|---|
| 778 | flag_set = .FALSE. |
|---|
| 779 | IF ( k == nzb_w_inner(j,i) .OR. k == nzb_w_inner(j,i) + 1 & |
|---|
| 780 | .OR. k == nzt ) THEN |
|---|
| 781 | ! |
|---|
| 782 | !-- Please note, at k == nzb_w_inner(j,i) a flag is explictely |
|---|
| 783 | !-- set, although this is not a prognostic level. However, |
|---|
| 784 | !-- contrary to the advection of u,v and s this is necessary |
|---|
| 785 | !-- because flux_t(nzb_w_inner(j,i)) is used for the tendency |
|---|
| 786 | !-- at k == nzb_w_inner(j,i)+1. |
|---|
| 787 | wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 1 ) |
|---|
| 788 | flag_set = .TRUE. |
|---|
| 789 | ELSEIF ( k == nzb_w_inner(j,i) + 2 .OR. k == nzt - 1 ) THEN |
|---|
| 790 | wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 2 ) |
|---|
| 791 | flag_set = .TRUE. |
|---|
| 792 | ELSEIF ( k > nzb_w_inner(j,i) .AND. .NOT. flag_set ) THEN |
|---|
| 793 | wall_flags_00(k,j,i) = IBSET( wall_flags_00(k,j,i), 3 ) |
|---|
| 794 | ENDIF |
|---|
| 795 | |
|---|
| 796 | ENDDO |
|---|
| 797 | ENDDO |
|---|
| 798 | ENDDO |
|---|
| 799 | |
|---|
| 800 | ENDIF |
|---|
| 801 | |
|---|
| 802 | |
|---|
| 803 | ! |
|---|
| 804 | !-- Exchange 3D integer wall_flags. |
|---|
| 805 | IF ( momentum_advec == 'ws-scheme' .OR. scalar_advec == 'ws-scheme' & |
|---|
| 806 | .OR. scalar_advec == 'ws-scheme-mono' ) THEN |
|---|
| 807 | ! |
|---|
| 808 | !-- Exchange ghost points for advection flags |
|---|
| 809 | CALL exchange_horiz_int( wall_flags_0, nbgp ) |
|---|
| 810 | CALL exchange_horiz_int( wall_flags_00, nbgp ) |
|---|
| 811 | ! |
|---|
| 812 | !-- Set boundary flags at inflow and outflow boundary in case of |
|---|
| 813 | !-- non-cyclic boundary conditions. |
|---|
| 814 | IF ( inflow_l .OR. outflow_l .OR. nest_bound_l ) THEN |
|---|
| 815 | wall_flags_0(:,:,nxl-1) = wall_flags_0(:,:,nxl) |
|---|
| 816 | wall_flags_00(:,:,nxl-1) = wall_flags_00(:,:,nxl) |
|---|
| 817 | ENDIF |
|---|
| 818 | |
|---|
| 819 | IF ( inflow_r .OR. outflow_r .OR. nest_bound_r ) THEN |
|---|
| 820 | wall_flags_0(:,:,nxr+1) = wall_flags_0(:,:,nxr) |
|---|
| 821 | wall_flags_00(:,:,nxr+1) = wall_flags_00(:,:,nxr) |
|---|
| 822 | ENDIF |
|---|
| 823 | |
|---|
| 824 | IF ( inflow_n .OR. outflow_n .OR. nest_bound_n ) THEN |
|---|
| 825 | wall_flags_0(:,nyn+1,:) = wall_flags_0(:,nyn,:) |
|---|
| 826 | wall_flags_00(:,nyn+1,:) = wall_flags_00(:,nyn,:) |
|---|
| 827 | ENDIF |
|---|
| 828 | |
|---|
| 829 | IF ( inflow_s .OR. outflow_s .OR. nest_bound_s ) THEN |
|---|
| 830 | wall_flags_0(:,nys-1,:) = wall_flags_0(:,nys,:) |
|---|
| 831 | wall_flags_00(:,nys-1,:) = wall_flags_00(:,nys,:) |
|---|
| 832 | ENDIF |
|---|
| 833 | |
|---|
| 834 | ENDIF |
|---|
| 835 | |
|---|
| 836 | |
|---|
| 837 | END SUBROUTINE ws_init_flags |
|---|
| 838 | |
|---|
| 839 | |
|---|
| 840 | !------------------------------------------------------------------------------! |
|---|
| 841 | ! Description: |
|---|
| 842 | ! ------------ |
|---|
| 843 | !> Initialize variables used for storing statistic quantities (fluxes, variances) |
|---|
| 844 | !------------------------------------------------------------------------------! |
|---|
| 845 | SUBROUTINE ws_statistics |
|---|
| 846 | |
|---|
| 847 | USE control_parameters, & |
|---|
| 848 | ONLY: cloud_physics, humidity, passive_scalar, ocean, & |
|---|
| 849 | microphysics_seifert, ws_scheme_mom, ws_scheme_sca |
|---|
| 850 | |
|---|
| 851 | USE kinds |
|---|
| 852 | |
|---|
| 853 | USE statistics, & |
|---|
| 854 | ONLY: sums_us2_ws_l, sums_vs2_ws_l, sums_ws2_ws_l, sums_wsnrs_ws_l,& |
|---|
| 855 | sums_wspts_ws_l, sums_wsqrs_ws_l, sums_wsqs_ws_l, & |
|---|
| 856 | sums_wsss_ws_l, sums_wssas_ws_l, sums_wsus_ws_l, & |
|---|
| 857 | sums_wsvs_ws_l |
|---|
| 858 | |
|---|
| 859 | IMPLICIT NONE |
|---|
| 860 | |
|---|
| 861 | ! |
|---|
| 862 | !-- The arrays needed for statistical evaluation are set to to 0 at the |
|---|
| 863 | !-- beginning of prognostic_equations. |
|---|
| 864 | IF ( ws_scheme_mom ) THEN |
|---|
| 865 | sums_wsus_ws_l = 0.0_wp |
|---|
| 866 | sums_wsvs_ws_l = 0.0_wp |
|---|
| 867 | sums_us2_ws_l = 0.0_wp |
|---|
| 868 | sums_vs2_ws_l = 0.0_wp |
|---|
| 869 | sums_ws2_ws_l = 0.0_wp |
|---|
| 870 | ENDIF |
|---|
| 871 | |
|---|
| 872 | IF ( ws_scheme_sca ) THEN |
|---|
| 873 | sums_wspts_ws_l = 0.0_wp |
|---|
| 874 | IF ( humidity ) sums_wsqs_ws_l = 0.0_wp |
|---|
| 875 | IF ( passive_scalar ) sums_wsss_ws_l = 0.0_wp |
|---|
| 876 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
|---|
| 877 | sums_wsqrs_ws_l = 0.0_wp |
|---|
| 878 | sums_wsnrs_ws_l = 0.0_wp |
|---|
| 879 | ENDIF |
|---|
| 880 | IF ( ocean ) sums_wssas_ws_l = 0.0_wp |
|---|
| 881 | |
|---|
| 882 | ENDIF |
|---|
| 883 | |
|---|
| 884 | END SUBROUTINE ws_statistics |
|---|
| 885 | |
|---|
| 886 | |
|---|
| 887 | !------------------------------------------------------------------------------! |
|---|
| 888 | ! Description: |
|---|
| 889 | ! ------------ |
|---|
| 890 | !> Scalar advection - Call for grid point i,j |
|---|
| 891 | !------------------------------------------------------------------------------! |
|---|
| 892 | SUBROUTINE advec_s_ws_ij( i, j, sk, sk_char, swap_flux_y_local, & |
|---|
| 893 | swap_diss_y_local, swap_flux_x_local, & |
|---|
| 894 | swap_diss_x_local, i_omp, tn ) |
|---|
| 895 | |
|---|
| 896 | USE arrays_3d, & |
|---|
| 897 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air, rho_air_zw |
|---|
| 898 | |
|---|
| 899 | USE constants, & |
|---|
| 900 | ONLY: adv_sca_1, adv_sca_3, adv_sca_5 |
|---|
| 901 | |
|---|
| 902 | USE control_parameters, & |
|---|
| 903 | ONLY: intermediate_timestep_count, monotonic_adjustment, u_gtrans, & |
|---|
| 904 | v_gtrans |
|---|
| 905 | |
|---|
| 906 | USE grid_variables, & |
|---|
| 907 | ONLY: ddx, ddy |
|---|
| 908 | |
|---|
| 909 | USE indices, & |
|---|
| 910 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
|---|
| 911 | nzt, wall_flags_0 |
|---|
| 912 | |
|---|
| 913 | USE kinds |
|---|
| 914 | |
|---|
| 915 | USE pegrid |
|---|
| 916 | |
|---|
| 917 | USE statistics, & |
|---|
| 918 | ONLY: hom, sums_wsnrs_ws_l, sums_wspts_ws_l, sums_wsqrs_ws_l, & |
|---|
| 919 | sums_wsqs_ws_l, sums_wssas_ws_l, sums_wsss_ws_l, & |
|---|
| 920 | weight_substep |
|---|
| 921 | |
|---|
| 922 | IMPLICIT NONE |
|---|
| 923 | |
|---|
| 924 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
|---|
| 925 | |
|---|
| 926 | INTEGER(iwp) :: i !< |
|---|
| 927 | INTEGER(iwp) :: ibit0 !< |
|---|
| 928 | INTEGER(iwp) :: ibit1 !< |
|---|
| 929 | INTEGER(iwp) :: ibit2 !< |
|---|
| 930 | INTEGER(iwp) :: ibit3 !< |
|---|
| 931 | INTEGER(iwp) :: ibit4 !< |
|---|
| 932 | INTEGER(iwp) :: ibit5 !< |
|---|
| 933 | INTEGER(iwp) :: ibit6 !< |
|---|
| 934 | INTEGER(iwp) :: ibit7 !< |
|---|
| 935 | INTEGER(iwp) :: ibit8 !< |
|---|
| 936 | INTEGER(iwp) :: i_omp !< |
|---|
| 937 | INTEGER(iwp) :: j !< |
|---|
| 938 | INTEGER(iwp) :: k !< |
|---|
| 939 | INTEGER(iwp) :: k_mm !< |
|---|
| 940 | INTEGER(iwp) :: k_mmm !< |
|---|
| 941 | INTEGER(iwp) :: k_pp !< |
|---|
| 942 | INTEGER(iwp) :: k_ppp !< |
|---|
| 943 | INTEGER(iwp) :: tn !< |
|---|
| 944 | |
|---|
| 945 | REAL(wp) :: diss_d !< |
|---|
| 946 | REAL(wp) :: div !< |
|---|
| 947 | REAL(wp) :: flux_d !< |
|---|
| 948 | REAL(wp) :: fd_1 !< |
|---|
| 949 | REAL(wp) :: fl_1 !< |
|---|
| 950 | REAL(wp) :: fn_1 !< |
|---|
| 951 | REAL(wp) :: fr_1 !< |
|---|
| 952 | REAL(wp) :: fs_1 !< |
|---|
| 953 | REAL(wp) :: ft_1 !< |
|---|
| 954 | REAL(wp) :: phi_d !< |
|---|
| 955 | REAL(wp) :: phi_l !< |
|---|
| 956 | REAL(wp) :: phi_n !< |
|---|
| 957 | REAL(wp) :: phi_r !< |
|---|
| 958 | REAL(wp) :: phi_s !< |
|---|
| 959 | REAL(wp) :: phi_t !< |
|---|
| 960 | REAL(wp) :: rd !< |
|---|
| 961 | REAL(wp) :: rl !< |
|---|
| 962 | REAL(wp) :: rn !< |
|---|
| 963 | REAL(wp) :: rr !< |
|---|
| 964 | REAL(wp) :: rs !< |
|---|
| 965 | REAL(wp) :: rt !< |
|---|
| 966 | REAL(wp) :: u_comp !< |
|---|
| 967 | REAL(wp) :: v_comp !< |
|---|
| 968 | |
|---|
| 969 | #if defined( __nopointer ) |
|---|
| 970 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
|---|
| 971 | #else |
|---|
| 972 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
|---|
| 973 | #endif |
|---|
| 974 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 975 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 976 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 977 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 978 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 979 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 980 | |
|---|
| 981 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_diss_y_local !< |
|---|
| 982 | REAL(wp), DIMENSION(nzb+1:nzt,0:threads_per_task-1) :: swap_flux_y_local !< |
|---|
| 983 | |
|---|
| 984 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_diss_x_local !< |
|---|
| 985 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn,0:threads_per_task-1) :: swap_flux_x_local !< |
|---|
| 986 | |
|---|
| 987 | |
|---|
| 988 | ! |
|---|
| 989 | !-- Compute southside fluxes of the respective PE bounds. |
|---|
| 990 | IF ( j == nys ) THEN |
|---|
| 991 | ! |
|---|
| 992 | !-- Up to the top of the highest topography. |
|---|
| 993 | DO k = nzb+1, nzb_max |
|---|
| 994 | |
|---|
| 995 | ibit5 = IBITS(wall_flags_0(k,j-1,i),5,1) |
|---|
| 996 | ibit4 = IBITS(wall_flags_0(k,j-1,i),4,1) |
|---|
| 997 | ibit3 = IBITS(wall_flags_0(k,j-1,i),3,1) |
|---|
| 998 | |
|---|
| 999 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 1000 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 1001 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1002 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1003 | + ibit3 * adv_sca_1 & |
|---|
| 1004 | ) * & |
|---|
| 1005 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1006 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1007 | + ibit4 * adv_sca_3 & |
|---|
| 1008 | ) * & |
|---|
| 1009 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 1010 | + ( ibit5 * adv_sca_5 & |
|---|
| 1011 | ) * & |
|---|
| 1012 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 1013 | ) |
|---|
| 1014 | |
|---|
| 1015 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 1016 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1017 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1018 | + ibit3 * adv_sca_1 & |
|---|
| 1019 | ) * & |
|---|
| 1020 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1021 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1022 | + ibit4 * adv_sca_3 & |
|---|
| 1023 | ) * & |
|---|
| 1024 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 1025 | + ( ibit5 * adv_sca_5 & |
|---|
| 1026 | ) * & |
|---|
| 1027 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 1028 | ) |
|---|
| 1029 | |
|---|
| 1030 | ENDDO |
|---|
| 1031 | ! |
|---|
| 1032 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 1033 | DO k = nzb_max+1, nzt |
|---|
| 1034 | |
|---|
| 1035 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 1036 | swap_flux_y_local(k,tn) = v_comp * ( & |
|---|
| 1037 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1038 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 1039 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 1040 | ) * adv_sca_5 |
|---|
| 1041 | swap_diss_y_local(k,tn) = -ABS( v_comp ) * ( & |
|---|
| 1042 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1043 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 1044 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 1045 | ) * adv_sca_5 |
|---|
| 1046 | |
|---|
| 1047 | ENDDO |
|---|
| 1048 | |
|---|
| 1049 | ENDIF |
|---|
| 1050 | ! |
|---|
| 1051 | !-- Compute leftside fluxes of the respective PE bounds. |
|---|
| 1052 | IF ( i == i_omp ) THEN |
|---|
| 1053 | |
|---|
| 1054 | DO k = nzb+1, nzb_max |
|---|
| 1055 | |
|---|
| 1056 | ibit2 = IBITS(wall_flags_0(k,j,i-1),2,1) |
|---|
| 1057 | ibit1 = IBITS(wall_flags_0(k,j,i-1),1,1) |
|---|
| 1058 | ibit0 = IBITS(wall_flags_0(k,j,i-1),0,1) |
|---|
| 1059 | |
|---|
| 1060 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1061 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 1062 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1063 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1064 | + ibit0 * adv_sca_1 & |
|---|
| 1065 | ) * & |
|---|
| 1066 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1067 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1068 | + ibit1 * adv_sca_3 & |
|---|
| 1069 | ) * & |
|---|
| 1070 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1071 | + ( ibit2 * adv_sca_5 & |
|---|
| 1072 | ) * & |
|---|
| 1073 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1074 | ) |
|---|
| 1075 | |
|---|
| 1076 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 1077 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1078 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1079 | + ibit0 * adv_sca_1 & |
|---|
| 1080 | ) * & |
|---|
| 1081 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1082 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1083 | + ibit1 * adv_sca_3 & |
|---|
| 1084 | ) * & |
|---|
| 1085 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1086 | + ( ibit2 * adv_sca_5 & |
|---|
| 1087 | ) * & |
|---|
| 1088 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1089 | ) |
|---|
| 1090 | |
|---|
| 1091 | ENDDO |
|---|
| 1092 | |
|---|
| 1093 | DO k = nzb_max+1, nzt |
|---|
| 1094 | |
|---|
| 1095 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1096 | swap_flux_x_local(k,j,tn) = u_comp * ( & |
|---|
| 1097 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1098 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 1099 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 1100 | ) * adv_sca_5 |
|---|
| 1101 | |
|---|
| 1102 | swap_diss_x_local(k,j,tn) = -ABS( u_comp ) * ( & |
|---|
| 1103 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1104 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 1105 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 1106 | ) * adv_sca_5 |
|---|
| 1107 | |
|---|
| 1108 | ENDDO |
|---|
| 1109 | |
|---|
| 1110 | ENDIF |
|---|
| 1111 | |
|---|
| 1112 | flux_t(0) = 0.0_wp |
|---|
| 1113 | diss_t(0) = 0.0_wp |
|---|
| 1114 | flux_d = 0.0_wp |
|---|
| 1115 | diss_d = 0.0_wp |
|---|
| 1116 | ! |
|---|
| 1117 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1118 | !-- vertical parts up to the top of the highest topography. |
|---|
| 1119 | DO k = nzb+1, nzb_max |
|---|
| 1120 | ! |
|---|
| 1121 | !-- Note: It is faster to conduct all multiplications explicitly, e.g. |
|---|
| 1122 | !-- * adv_sca_5 ... than to determine a factor and multiplicate the |
|---|
| 1123 | !-- flux at the end. |
|---|
| 1124 | |
|---|
| 1125 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 1126 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 1127 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 1128 | |
|---|
| 1129 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 1130 | flux_r(k) = u_comp * ( & |
|---|
| 1131 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1132 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1133 | + ibit0 * adv_sca_1 & |
|---|
| 1134 | ) * & |
|---|
| 1135 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1136 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1137 | + ibit1 * adv_sca_3 & |
|---|
| 1138 | ) * & |
|---|
| 1139 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 1140 | + ( ibit2 * adv_sca_5 & |
|---|
| 1141 | ) * & |
|---|
| 1142 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 1143 | ) |
|---|
| 1144 | |
|---|
| 1145 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 1146 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1147 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 1148 | + ibit0 * adv_sca_1 & |
|---|
| 1149 | ) * & |
|---|
| 1150 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1151 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 1152 | + ibit1 * adv_sca_3 & |
|---|
| 1153 | ) * & |
|---|
| 1154 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 1155 | + ( ibit2 * adv_sca_5 & |
|---|
| 1156 | ) * & |
|---|
| 1157 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 1158 | ) |
|---|
| 1159 | |
|---|
| 1160 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 1161 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 1162 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 1163 | |
|---|
| 1164 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 1165 | flux_n(k) = v_comp * ( & |
|---|
| 1166 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1167 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1168 | + ibit3 * adv_sca_1 & |
|---|
| 1169 | ) * & |
|---|
| 1170 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1171 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1172 | + ibit4 * adv_sca_3 & |
|---|
| 1173 | ) * & |
|---|
| 1174 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 1175 | + ( ibit5 * adv_sca_5 & |
|---|
| 1176 | ) * & |
|---|
| 1177 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 1178 | ) |
|---|
| 1179 | |
|---|
| 1180 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 1181 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1182 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 1183 | + ibit3 * adv_sca_1 & |
|---|
| 1184 | ) * & |
|---|
| 1185 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1186 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 1187 | + ibit4 * adv_sca_3 & |
|---|
| 1188 | ) * & |
|---|
| 1189 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 1190 | + ( ibit5 * adv_sca_5 & |
|---|
| 1191 | ) * & |
|---|
| 1192 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 1193 | ) |
|---|
| 1194 | ! |
|---|
| 1195 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1196 | !-- subscripts will be exceeded. |
|---|
| 1197 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 1198 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 1199 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 1200 | |
|---|
| 1201 | k_ppp = k + 3 * ibit8 |
|---|
| 1202 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 1203 | k_mm = k - 2 * ibit8 |
|---|
| 1204 | |
|---|
| 1205 | |
|---|
| 1206 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 1207 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1208 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1209 | + ibit6 * adv_sca_1 & |
|---|
| 1210 | ) * & |
|---|
| 1211 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1212 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1213 | + ibit7 * adv_sca_3 & |
|---|
| 1214 | ) * & |
|---|
| 1215 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 1216 | + ( ibit8 * adv_sca_5 & |
|---|
| 1217 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 1218 | ) |
|---|
| 1219 | |
|---|
| 1220 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 1221 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1222 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1223 | + ibit6 * adv_sca_1 & |
|---|
| 1224 | ) * & |
|---|
| 1225 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1226 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1227 | + ibit7 * adv_sca_3 & |
|---|
| 1228 | ) * & |
|---|
| 1229 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 1230 | + ( ibit8 * adv_sca_5 & |
|---|
| 1231 | ) * & |
|---|
| 1232 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 1233 | ) |
|---|
| 1234 | ! |
|---|
| 1235 | !-- Apply monotonic adjustment. |
|---|
| 1236 | IF ( monotonic_adjustment ) THEN |
|---|
| 1237 | ! |
|---|
| 1238 | !-- At first, calculate first order fluxes. |
|---|
| 1239 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1240 | fl_1 = ( u_comp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1241 | -ABS( u_comp ) * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1242 | ) * adv_sca_1 |
|---|
| 1243 | |
|---|
| 1244 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 1245 | fr_1 = ( u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1246 | -ABS( u_comp ) * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1247 | ) * adv_sca_1 |
|---|
| 1248 | |
|---|
| 1249 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 1250 | fs_1 = ( v_comp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1251 | -ABS( v_comp ) * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1252 | ) * adv_sca_1 |
|---|
| 1253 | |
|---|
| 1254 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 1255 | fn_1 = ( v_comp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1256 | -ABS( v_comp ) * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1257 | ) * adv_sca_1 |
|---|
| 1258 | |
|---|
| 1259 | fd_1 = ( w(k-1,j,i) * ( sk(k,j,i) + sk(k-1,j,i) ) & |
|---|
| 1260 | -ABS( w(k-1,j,i) ) * ( sk(k,j,i) - sk(k-1,j,i) ) & |
|---|
| 1261 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 1262 | |
|---|
| 1263 | ft_1 = ( w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1264 | -ABS( w(k,j,i) ) * ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1265 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 1266 | ! |
|---|
| 1267 | !-- Calculate ratio of upwind gradients. Note, Min/Max is just to |
|---|
| 1268 | !-- avoid if statements. |
|---|
| 1269 | rl = ( MAX( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 1270 | ABS( ( sk(k,j,i-1) - sk(k,j,i-2) ) / & |
|---|
| 1271 | ( sk(k,j,i) - sk(k,j,i-1) + 1E-20_wp ) & |
|---|
| 1272 | ) + & |
|---|
| 1273 | MIN( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 1274 | ABS( ( sk(k,j,i) - sk(k,j,i+1) ) / & |
|---|
| 1275 | ( sk(k,j,i-1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1276 | ) & |
|---|
| 1277 | ) / ABS( u(k,j,i) - u_gtrans + 1E-20_wp ) |
|---|
| 1278 | |
|---|
| 1279 | rr = ( MAX( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 1280 | ABS( ( sk(k,j,i) - sk(k,j,i-1) ) / & |
|---|
| 1281 | ( sk(k,j,i+1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1282 | ) + & |
|---|
| 1283 | MIN( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 1284 | ABS( ( sk(k,j,i+1) - sk(k,j,i+2) ) / & |
|---|
| 1285 | ( sk(k,j,i) - sk(k,j,i+1) + 1E-20_wp ) & |
|---|
| 1286 | ) & |
|---|
| 1287 | ) / ABS( u(k,j,i+1) - u_gtrans + 1E-20_wp ) |
|---|
| 1288 | |
|---|
| 1289 | rs = ( MAX( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 1290 | ABS( ( sk(k,j-1,i) - sk(k,j-2,i) ) / & |
|---|
| 1291 | ( sk(k,j,i) - sk(k,j-1,i) + 1E-20_wp ) & |
|---|
| 1292 | ) + & |
|---|
| 1293 | MIN( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 1294 | ABS( ( sk(k,j,i) - sk(k,j+1,i) ) / & |
|---|
| 1295 | ( sk(k,j-1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1296 | ) & |
|---|
| 1297 | ) / ABS( v(k,j,i) - v_gtrans + 1E-20_wp ) |
|---|
| 1298 | |
|---|
| 1299 | rn = ( MAX( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 1300 | ABS( ( sk(k,j,i) - sk(k,j-1,i) ) / & |
|---|
| 1301 | ( sk(k,j+1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1302 | ) + & |
|---|
| 1303 | MIN( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 1304 | ABS( ( sk(k,j+1,i) - sk(k,j+2,i) ) / & |
|---|
| 1305 | ( sk(k,j,i) - sk(k,j+1,i) + 1E-20_wp ) & |
|---|
| 1306 | ) & |
|---|
| 1307 | ) / ABS( v(k,j+1,i) - v_gtrans + 1E-20_wp ) |
|---|
| 1308 | ! |
|---|
| 1309 | !-- Reuse k_mm and compute k_mmm for the vertical gradient ratios. |
|---|
| 1310 | !-- Note, for vertical advection below the third grid point above |
|---|
| 1311 | !-- surface ( or below the model top) rd and rt are set to 0, i.e. |
|---|
| 1312 | !-- use of first order scheme is enforced. |
|---|
| 1313 | k_mmm = k - 3 * ibit8 |
|---|
| 1314 | |
|---|
| 1315 | rd = ( MAX( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 1316 | ABS( ( sk(k_mm,j,i) - sk(k_mmm,j,i) ) / & |
|---|
| 1317 | ( sk(k-1,j,i) - sk(k_mm,j,i) + 1E-20_wp ) & |
|---|
| 1318 | ) + & |
|---|
| 1319 | MIN( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 1320 | ABS( ( sk(k-1,j,i) - sk(k,j,i) ) / & |
|---|
| 1321 | ( sk(k_mm,j,i) - sk(k-1,j,i) + 1E-20_wp ) & |
|---|
| 1322 | ) & |
|---|
| 1323 | ) * ibit8 / ABS( w(k-1,j,i) + 1E-20_wp ) |
|---|
| 1324 | |
|---|
| 1325 | rt = ( MAX( 0.0_wp, w(k,j,i) ) * & |
|---|
| 1326 | ABS( ( sk(k,j,i) - sk(k-1,j,i) ) / & |
|---|
| 1327 | ( sk(k+1,j,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1328 | ) + & |
|---|
| 1329 | MIN( 0.0_wp, w(k,j,i) ) * & |
|---|
| 1330 | ABS( ( sk(k+1,j,i) - sk(k_pp,j,i) ) / & |
|---|
| 1331 | ( sk(k,j,i) - sk(k+1,j,i) + 1E-20_wp ) & |
|---|
| 1332 | ) & |
|---|
| 1333 | ) * ibit8 / ABS( w(k,j,i) + 1E-20_wp ) |
|---|
| 1334 | ! |
|---|
| 1335 | !-- Calculate empirical limiter function (van Albada2 limiter). |
|---|
| 1336 | phi_l = MIN( 1.0_wp, ( 2.0_wp * ABS( rl ) ) / & |
|---|
| 1337 | ( rl**2 + 1.0_wp ) ) |
|---|
| 1338 | phi_r = MIN( 1.0_wp, ( 2.0_wp * ABS( rr ) ) / & |
|---|
| 1339 | ( rr**2 + 1.0_wp ) ) |
|---|
| 1340 | phi_s = MIN( 1.0_wp, ( 2.0_wp * ABS( rs ) ) / & |
|---|
| 1341 | ( rs**2 + 1.0_wp ) ) |
|---|
| 1342 | phi_n = MIN( 1.0_wp, ( 2.0_wp * ABS( rn ) ) / & |
|---|
| 1343 | ( rn**2 + 1.0_wp ) ) |
|---|
| 1344 | phi_d = MIN( 1.0_wp, ( 2.0_wp * ABS( rd ) ) / & |
|---|
| 1345 | ( rd**2 + 1.0_wp ) ) |
|---|
| 1346 | phi_t = MIN( 1.0_wp, ( 2.0_wp * ABS( rt ) ) / & |
|---|
| 1347 | ( rt**2 + 1.0_wp ) ) |
|---|
| 1348 | ! |
|---|
| 1349 | !-- Calculate the resulting monotone flux. |
|---|
| 1350 | swap_flux_x_local(k,j,tn) = fl_1 - phi_l * & |
|---|
| 1351 | ( fl_1 - swap_flux_x_local(k,j,tn) ) |
|---|
| 1352 | flux_r(k) = fr_1 - phi_r * & |
|---|
| 1353 | ( fr_1 - flux_r(k) ) |
|---|
| 1354 | swap_flux_y_local(k,tn) = fs_1 - phi_s * & |
|---|
| 1355 | ( fs_1 - swap_flux_y_local(k,tn) ) |
|---|
| 1356 | flux_n(k) = fn_1 - phi_n * & |
|---|
| 1357 | ( fn_1 - flux_n(k) ) |
|---|
| 1358 | flux_d = fd_1 - phi_d * & |
|---|
| 1359 | ( fd_1 - flux_d ) |
|---|
| 1360 | flux_t(k) = ft_1 - phi_t * & |
|---|
| 1361 | ( ft_1 - flux_t(k) ) |
|---|
| 1362 | ! |
|---|
| 1363 | !-- Moreover, modify dissipation flux according to the limiter. |
|---|
| 1364 | swap_diss_x_local(k,j,tn) = swap_diss_x_local(k,j,tn) * phi_l |
|---|
| 1365 | diss_r(k) = diss_r(k) * phi_r |
|---|
| 1366 | swap_diss_y_local(k,tn) = swap_diss_y_local(k,tn) * phi_s |
|---|
| 1367 | diss_n(k) = diss_n(k) * phi_n |
|---|
| 1368 | diss_d = diss_d * phi_d |
|---|
| 1369 | diss_t(k) = diss_t(k) * phi_t |
|---|
| 1370 | |
|---|
| 1371 | ENDIF |
|---|
| 1372 | ! |
|---|
| 1373 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1374 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 1375 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1376 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
|---|
| 1377 | - u(k,j,i) * ( IBITS(wall_flags_0(k,j,i-1),0,1) & |
|---|
| 1378 | + IBITS(wall_flags_0(k,j,i-1),1,1) & |
|---|
| 1379 | + IBITS(wall_flags_0(k,j,i-1),2,1) & |
|---|
| 1380 | ) & |
|---|
| 1381 | ) * rho_air(k) * ddx & |
|---|
| 1382 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
|---|
| 1383 | - v(k,j,i) * ( IBITS(wall_flags_0(k,j-1,i),3,1) & |
|---|
| 1384 | + IBITS(wall_flags_0(k,j-1,i),4,1) & |
|---|
| 1385 | + IBITS(wall_flags_0(k,j-1,i),5,1) & |
|---|
| 1386 | ) & |
|---|
| 1387 | ) * rho_air(k) * ddy & |
|---|
| 1388 | + ( w(k,j,i) * rho_air_zw(k) * & |
|---|
| 1389 | ( ibit6 + ibit7 + ibit8 ) & |
|---|
| 1390 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
|---|
| 1391 | ( IBITS(wall_flags_0(k-1,j,i),6,1) & |
|---|
| 1392 | + IBITS(wall_flags_0(k-1,j,i),7,1) & |
|---|
| 1393 | + IBITS(wall_flags_0(k-1,j,i),8,1) & |
|---|
| 1394 | ) & |
|---|
| 1395 | ) * ddzw(k) |
|---|
| 1396 | |
|---|
| 1397 | |
|---|
| 1398 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1399 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 1400 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 1401 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 1402 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 1403 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 1404 | ( flux_d + diss_d ) & |
|---|
| 1405 | ) * drho_air(k) * ddzw(k) & |
|---|
| 1406 | ) + sk(k,j,i) * div |
|---|
| 1407 | |
|---|
| 1408 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 1409 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 1410 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 1411 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 1412 | flux_d = flux_t(k) |
|---|
| 1413 | diss_d = diss_t(k) |
|---|
| 1414 | |
|---|
| 1415 | ENDDO |
|---|
| 1416 | ! |
|---|
| 1417 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 1418 | !-- vertical parts above the top of the highest topography. No degradation |
|---|
| 1419 | !-- for the horizontal parts, but for the vertical it is stell needed. |
|---|
| 1420 | DO k = nzb_max+1, nzt |
|---|
| 1421 | |
|---|
| 1422 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 1423 | flux_r(k) = u_comp * ( & |
|---|
| 1424 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1425 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 1426 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 1427 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 1428 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1429 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 1430 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 1431 | |
|---|
| 1432 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 1433 | flux_n(k) = v_comp * ( & |
|---|
| 1434 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1435 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 1436 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 1437 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 1438 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1439 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 1440 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 1441 | ! |
|---|
| 1442 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1443 | !-- subscripts will be exceeded. |
|---|
| 1444 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 1445 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 1446 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 1447 | |
|---|
| 1448 | k_ppp = k + 3 * ibit8 |
|---|
| 1449 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 1450 | k_mm = k - 2 * ibit8 |
|---|
| 1451 | |
|---|
| 1452 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 1453 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1454 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1455 | + ibit6 * adv_sca_1 & |
|---|
| 1456 | ) * & |
|---|
| 1457 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1458 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1459 | + ibit7 * adv_sca_3 & |
|---|
| 1460 | ) * & |
|---|
| 1461 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 1462 | + ( ibit8 * adv_sca_5 & |
|---|
| 1463 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 1464 | ) |
|---|
| 1465 | |
|---|
| 1466 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 1467 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1468 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 1469 | + ibit6 * adv_sca_1 & |
|---|
| 1470 | ) * & |
|---|
| 1471 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1472 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 1473 | + ibit7 * adv_sca_3 & |
|---|
| 1474 | ) * & |
|---|
| 1475 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 1476 | + ( ibit8 * adv_sca_5 & |
|---|
| 1477 | ) * & |
|---|
| 1478 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 1479 | ) |
|---|
| 1480 | |
|---|
| 1481 | |
|---|
| 1482 | ! |
|---|
| 1483 | !-- Apply monotonic adjustment. |
|---|
| 1484 | IF ( monotonic_adjustment ) THEN |
|---|
| 1485 | ! |
|---|
| 1486 | !-- At first, calculate first order fluxes. |
|---|
| 1487 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 1488 | fl_1 = ( u_comp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 1489 | -ABS( u_comp ) * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 1490 | ) * adv_sca_1 |
|---|
| 1491 | |
|---|
| 1492 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 1493 | fr_1 = ( u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 1494 | -ABS( u_comp ) * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 1495 | ) * adv_sca_1 |
|---|
| 1496 | |
|---|
| 1497 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 1498 | fs_1 = ( v_comp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 1499 | -ABS( v_comp ) * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 1500 | ) * adv_sca_1 |
|---|
| 1501 | |
|---|
| 1502 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 1503 | fn_1 = ( v_comp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 1504 | -ABS( v_comp ) * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 1505 | ) * adv_sca_1 |
|---|
| 1506 | |
|---|
| 1507 | fd_1 = ( w(k-1,j,i) * ( sk(k,j,i) + sk(k-1,j,i) ) & |
|---|
| 1508 | -ABS( w(k-1,j,i) ) * ( sk(k,j,i) - sk(k-1,j,i) ) & |
|---|
| 1509 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 1510 | |
|---|
| 1511 | ft_1 = ( w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 1512 | -ABS( w(k,j,i) ) * ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 1513 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 1514 | ! |
|---|
| 1515 | !-- Calculate ratio of upwind gradients. Note, Min/Max is just to |
|---|
| 1516 | !-- avoid if statements. |
|---|
| 1517 | rl = ( MAX( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 1518 | ABS( ( sk(k,j,i-1) - sk(k,j,i-2) ) / & |
|---|
| 1519 | ( sk(k,j,i) - sk(k,j,i-1) + 1E-20_wp ) & |
|---|
| 1520 | ) + & |
|---|
| 1521 | MIN( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 1522 | ABS( ( sk(k,j,i) - sk(k,j,i+1) ) / & |
|---|
| 1523 | ( sk(k,j,i-1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1524 | ) & |
|---|
| 1525 | ) / ABS( u(k,j,i) - u_gtrans + 1E-20_wp ) |
|---|
| 1526 | |
|---|
| 1527 | rr = ( MAX( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 1528 | ABS( ( sk(k,j,i) - sk(k,j,i-1) ) / & |
|---|
| 1529 | ( sk(k,j,i+1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1530 | ) + & |
|---|
| 1531 | MIN( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 1532 | ABS( ( sk(k,j,i+1) - sk(k,j,i+2) ) / & |
|---|
| 1533 | ( sk(k,j,i) - sk(k,j,i+1) + 1E-20_wp ) & |
|---|
| 1534 | ) & |
|---|
| 1535 | ) / ABS( u(k,j,i+1) - u_gtrans + 1E-20_wp ) |
|---|
| 1536 | |
|---|
| 1537 | rs = ( MAX( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 1538 | ABS( ( sk(k,j-1,i) - sk(k,j-2,i) ) / & |
|---|
| 1539 | ( sk(k,j,i) - sk(k,j-1,i) + 1E-20_wp ) & |
|---|
| 1540 | ) + & |
|---|
| 1541 | MIN( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 1542 | ABS( ( sk(k,j,i) - sk(k,j+1,i) ) / & |
|---|
| 1543 | ( sk(k,j-1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1544 | ) & |
|---|
| 1545 | ) / ABS( v(k,j,i) - v_gtrans + 1E-20_wp ) |
|---|
| 1546 | |
|---|
| 1547 | rn = ( MAX( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 1548 | ABS( ( sk(k,j,i) - sk(k,j-1,i) ) / & |
|---|
| 1549 | ( sk(k,j+1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1550 | ) + & |
|---|
| 1551 | MIN( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 1552 | ABS( ( sk(k,j+1,i) - sk(k,j+2,i) ) / & |
|---|
| 1553 | ( sk(k,j,i) - sk(k,j+1,i) + 1E-20_wp ) & |
|---|
| 1554 | ) & |
|---|
| 1555 | ) / ABS( v(k,j+1,i) - v_gtrans + 1E-20_wp ) |
|---|
| 1556 | ! |
|---|
| 1557 | !-- Reuse k_mm and compute k_mmm for the vertical gradient ratios. |
|---|
| 1558 | !-- Note, for vertical advection below the third grid point above |
|---|
| 1559 | !-- surface ( or below the model top) rd and rt are set to 0, i.e. |
|---|
| 1560 | !-- use of first order scheme is enforced. |
|---|
| 1561 | k_mmm = k - 3 * ibit8 |
|---|
| 1562 | |
|---|
| 1563 | rd = ( MAX( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 1564 | ABS( ( sk(k_mm,j,i) - sk(k_mmm,j,i) ) / & |
|---|
| 1565 | ( sk(k-1,j,i) - sk(k_mm,j,i) + 1E-20_wp ) & |
|---|
| 1566 | ) + & |
|---|
| 1567 | MIN( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 1568 | ABS( ( sk(k-1,j,i) - sk(k,j,i) ) / & |
|---|
| 1569 | ( sk(k_mm,j,i) - sk(k-1,j,i) + 1E-20_wp ) & |
|---|
| 1570 | ) & |
|---|
| 1571 | ) * ibit8 / ABS( w(k-1,j,i) + 1E-20_wp ) |
|---|
| 1572 | |
|---|
| 1573 | rt = ( MAX( 0.0_wp, w(k,j,i) ) * & |
|---|
| 1574 | ABS( ( sk(k,j,i) - sk(k-1,j,i) ) / & |
|---|
| 1575 | ( sk(k+1,j,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 1576 | ) + & |
|---|
| 1577 | MIN( 0.0_wp, w(k,j,i) ) * & |
|---|
| 1578 | ABS( ( sk(k+1,j,i) - sk(k_pp,j,i) ) / & |
|---|
| 1579 | ( sk(k,j,i) - sk(k+1,j,i) + 1E-20_wp ) & |
|---|
| 1580 | ) & |
|---|
| 1581 | ) * ibit8 / ABS( w(k,j,i) + 1E-20_wp ) |
|---|
| 1582 | ! |
|---|
| 1583 | !-- Calculate empirical limiter function (van Albada2 limiter). |
|---|
| 1584 | phi_l = MIN( 1.0_wp, ( 2.0_wp * ABS( rl ) ) / & |
|---|
| 1585 | ( rl**2 + 1.0_wp ) ) |
|---|
| 1586 | phi_r = MIN( 1.0_wp, ( 2.0_wp * ABS( rr ) ) / & |
|---|
| 1587 | ( rr**2 + 1.0_wp ) ) |
|---|
| 1588 | phi_s = MIN( 1.0_wp, ( 2.0_wp * ABS( rs ) ) / & |
|---|
| 1589 | ( rs**2 + 1.0_wp ) ) |
|---|
| 1590 | phi_n = MIN( 1.0_wp, ( 2.0_wp * ABS( rn ) ) / & |
|---|
| 1591 | ( rn**2 + 1.0_wp ) ) |
|---|
| 1592 | phi_d = MIN( 1.0_wp, ( 2.0_wp * ABS( rd ) ) / & |
|---|
| 1593 | ( rd**2 + 1.0_wp ) ) |
|---|
| 1594 | phi_t = MIN( 1.0_wp, ( 2.0_wp * ABS( rt ) ) / & |
|---|
| 1595 | ( rt**2 + 1.0_wp ) ) |
|---|
| 1596 | ! |
|---|
| 1597 | !-- Calculate the resulting monotone flux. |
|---|
| 1598 | swap_flux_x_local(k,j,tn) = fl_1 - phi_l * & |
|---|
| 1599 | ( fl_1 - swap_flux_x_local(k,j,tn) ) |
|---|
| 1600 | flux_r(k) = fr_1 - phi_r * & |
|---|
| 1601 | ( fr_1 - flux_r(k) ) |
|---|
| 1602 | swap_flux_y_local(k,tn) = fs_1 - phi_s * & |
|---|
| 1603 | ( fs_1 - swap_flux_y_local(k,tn) ) |
|---|
| 1604 | flux_n(k) = fn_1 - phi_n * & |
|---|
| 1605 | ( fn_1 - flux_n(k) ) |
|---|
| 1606 | flux_d = fd_1 - phi_d * & |
|---|
| 1607 | ( fd_1 - flux_d ) |
|---|
| 1608 | flux_t(k) = ft_1 - phi_t * & |
|---|
| 1609 | ( ft_1 - flux_t(k) ) |
|---|
| 1610 | ! |
|---|
| 1611 | !-- Moreover, modify dissipation flux according to the limiter. |
|---|
| 1612 | swap_diss_x_local(k,j,tn) = swap_diss_x_local(k,j,tn) * phi_l |
|---|
| 1613 | diss_r(k) = diss_r(k) * phi_r |
|---|
| 1614 | swap_diss_y_local(k,tn) = swap_diss_y_local(k,tn) * phi_s |
|---|
| 1615 | diss_n(k) = diss_n(k) * phi_n |
|---|
| 1616 | diss_d = diss_d * phi_d |
|---|
| 1617 | diss_t(k) = diss_t(k) * phi_t |
|---|
| 1618 | |
|---|
| 1619 | ENDIF |
|---|
| 1620 | ! |
|---|
| 1621 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 1622 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 1623 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 1624 | div = ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx & |
|---|
| 1625 | + ( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy & |
|---|
| 1626 | + ( w(k,j,i) * rho_air_zw(k) - & |
|---|
| 1627 | w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) |
|---|
| 1628 | |
|---|
| 1629 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 1630 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j,tn) - & |
|---|
| 1631 | swap_diss_x_local(k,j,tn) ) * ddx & |
|---|
| 1632 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k,tn) - & |
|---|
| 1633 | swap_diss_y_local(k,tn) ) * ddy & |
|---|
| 1634 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 1635 | ( flux_d + diss_d ) & |
|---|
| 1636 | ) * drho_air(k) * ddzw(k) & |
|---|
| 1637 | ) + sk(k,j,i) * div |
|---|
| 1638 | |
|---|
| 1639 | |
|---|
| 1640 | swap_flux_y_local(k,tn) = flux_n(k) |
|---|
| 1641 | swap_diss_y_local(k,tn) = diss_n(k) |
|---|
| 1642 | swap_flux_x_local(k,j,tn) = flux_r(k) |
|---|
| 1643 | swap_diss_x_local(k,j,tn) = diss_r(k) |
|---|
| 1644 | flux_d = flux_t(k) |
|---|
| 1645 | diss_d = diss_t(k) |
|---|
| 1646 | |
|---|
| 1647 | ENDDO |
|---|
| 1648 | |
|---|
| 1649 | ! |
|---|
| 1650 | !-- Evaluation of statistics. |
|---|
| 1651 | SELECT CASE ( sk_char ) |
|---|
| 1652 | |
|---|
| 1653 | CASE ( 'pt' ) |
|---|
| 1654 | |
|---|
| 1655 | DO k = nzb, nzt |
|---|
| 1656 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) + & |
|---|
| 1657 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1658 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1659 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1660 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1661 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1662 | ENDDO |
|---|
| 1663 | |
|---|
| 1664 | CASE ( 'sa' ) |
|---|
| 1665 | |
|---|
| 1666 | DO k = nzb, nzt |
|---|
| 1667 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) + & |
|---|
| 1668 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1669 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1670 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1671 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1672 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1673 | ENDDO |
|---|
| 1674 | |
|---|
| 1675 | CASE ( 'q' ) |
|---|
| 1676 | |
|---|
| 1677 | DO k = nzb, nzt |
|---|
| 1678 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) + & |
|---|
| 1679 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1680 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1681 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1682 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1683 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1684 | ENDDO |
|---|
| 1685 | |
|---|
| 1686 | CASE ( 'qr' ) |
|---|
| 1687 | |
|---|
| 1688 | DO k = nzb, nzt |
|---|
| 1689 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) + & |
|---|
| 1690 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1691 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1692 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1693 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1694 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1695 | ENDDO |
|---|
| 1696 | |
|---|
| 1697 | CASE ( 'nr' ) |
|---|
| 1698 | |
|---|
| 1699 | DO k = nzb, nzt |
|---|
| 1700 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) + & |
|---|
| 1701 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1702 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1703 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1704 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1705 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1706 | ENDDO |
|---|
| 1707 | |
|---|
| 1708 | CASE ( 's' ) |
|---|
| 1709 | |
|---|
| 1710 | DO k = nzb, nzt |
|---|
| 1711 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) + & |
|---|
| 1712 | ( flux_t(k) / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 1713 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1714 | + diss_t(k) / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 1715 | * ABS( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 1716 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 1717 | ENDDO |
|---|
| 1718 | |
|---|
| 1719 | END SELECT |
|---|
| 1720 | |
|---|
| 1721 | END SUBROUTINE advec_s_ws_ij |
|---|
| 1722 | |
|---|
| 1723 | |
|---|
| 1724 | |
|---|
| 1725 | |
|---|
| 1726 | !------------------------------------------------------------------------------! |
|---|
| 1727 | ! Description: |
|---|
| 1728 | ! ------------ |
|---|
| 1729 | !> Advection of u-component - Call for grid point i,j |
|---|
| 1730 | !------------------------------------------------------------------------------! |
|---|
| 1731 | SUBROUTINE advec_u_ws_ij( i, j, i_omp, tn ) |
|---|
| 1732 | |
|---|
| 1733 | USE arrays_3d, & |
|---|
| 1734 | ONLY: ddzw, diss_l_u, diss_s_u, flux_l_u, flux_s_u, tend, u, v, w,& |
|---|
| 1735 | drho_air, rho_air, rho_air_zw |
|---|
| 1736 | |
|---|
| 1737 | USE constants, & |
|---|
| 1738 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 1739 | |
|---|
| 1740 | USE control_parameters, & |
|---|
| 1741 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 1742 | |
|---|
| 1743 | USE grid_variables, & |
|---|
| 1744 | ONLY: ddx, ddy |
|---|
| 1745 | |
|---|
| 1746 | USE indices, & |
|---|
| 1747 | ONLY: nxl, nxr, nyn, nys, nzb, nzb_max, nzt, wall_flags_0 |
|---|
| 1748 | |
|---|
| 1749 | USE kinds |
|---|
| 1750 | |
|---|
| 1751 | USE statistics, & |
|---|
| 1752 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
|---|
| 1753 | |
|---|
| 1754 | IMPLICIT NONE |
|---|
| 1755 | |
|---|
| 1756 | INTEGER(iwp) :: i !< |
|---|
| 1757 | INTEGER(iwp) :: ibit9 !< |
|---|
| 1758 | INTEGER(iwp) :: ibit10 !< |
|---|
| 1759 | INTEGER(iwp) :: ibit11 !< |
|---|
| 1760 | INTEGER(iwp) :: ibit12 !< |
|---|
| 1761 | INTEGER(iwp) :: ibit13 !< |
|---|
| 1762 | INTEGER(iwp) :: ibit14 !< |
|---|
| 1763 | INTEGER(iwp) :: ibit15 !< |
|---|
| 1764 | INTEGER(iwp) :: ibit16 !< |
|---|
| 1765 | INTEGER(iwp) :: ibit17 !< |
|---|
| 1766 | INTEGER(iwp) :: i_omp !< |
|---|
| 1767 | INTEGER(iwp) :: j !< |
|---|
| 1768 | INTEGER(iwp) :: k !< |
|---|
| 1769 | INTEGER(iwp) :: k_mm !< |
|---|
| 1770 | INTEGER(iwp) :: k_pp !< |
|---|
| 1771 | INTEGER(iwp) :: k_ppp !< |
|---|
| 1772 | INTEGER(iwp) :: tn !< |
|---|
| 1773 | |
|---|
| 1774 | REAL(wp) :: diss_d !< |
|---|
| 1775 | REAL(wp) :: div !< |
|---|
| 1776 | REAL(wp) :: flux_d !< |
|---|
| 1777 | REAL(wp) :: gu !< |
|---|
| 1778 | REAL(wp) :: gv !< |
|---|
| 1779 | REAL(wp) :: u_comp_l !< |
|---|
| 1780 | REAL(wp) :: v_comp !< |
|---|
| 1781 | REAL(wp) :: w_comp !< |
|---|
| 1782 | |
|---|
| 1783 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 1784 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 1785 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 1786 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 1787 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 1788 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 1789 | REAL(wp), DIMENSION(nzb:nzt+1) :: u_comp !< |
|---|
| 1790 | |
|---|
| 1791 | gu = 2.0_wp * u_gtrans |
|---|
| 1792 | gv = 2.0_wp * v_gtrans |
|---|
| 1793 | ! |
|---|
| 1794 | !-- Compute southside fluxes for the respective boundary of PE |
|---|
| 1795 | IF ( j == nys ) THEN |
|---|
| 1796 | |
|---|
| 1797 | DO k = nzb+1, nzb_max |
|---|
| 1798 | |
|---|
| 1799 | ibit14 = IBITS(wall_flags_0(k,j-1,i),14,1) |
|---|
| 1800 | ibit13 = IBITS(wall_flags_0(k,j-1,i),13,1) |
|---|
| 1801 | ibit12 = IBITS(wall_flags_0(k,j-1,i),12,1) |
|---|
| 1802 | |
|---|
| 1803 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 1804 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 1805 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1806 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1807 | + ibit12 * adv_mom_1 & |
|---|
| 1808 | ) * & |
|---|
| 1809 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 1810 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1811 | + ibit13 * adv_mom_3 & |
|---|
| 1812 | ) * & |
|---|
| 1813 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 1814 | + ( ibit14 * adv_mom_5 & |
|---|
| 1815 | ) * & |
|---|
| 1816 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 1817 | ) |
|---|
| 1818 | |
|---|
| 1819 | diss_s_u(k,tn) = - ABS ( v_comp ) * ( & |
|---|
| 1820 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1821 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1822 | + ibit12 * adv_mom_1 & |
|---|
| 1823 | ) * & |
|---|
| 1824 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 1825 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1826 | + ibit13 * adv_mom_3 & |
|---|
| 1827 | ) * & |
|---|
| 1828 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 1829 | + ( ibit14 * adv_mom_5 & |
|---|
| 1830 | ) * & |
|---|
| 1831 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 1832 | ) |
|---|
| 1833 | |
|---|
| 1834 | ENDDO |
|---|
| 1835 | |
|---|
| 1836 | DO k = nzb_max+1, nzt |
|---|
| 1837 | |
|---|
| 1838 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 1839 | flux_s_u(k,tn) = v_comp * ( & |
|---|
| 1840 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 1841 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 1842 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1843 | diss_s_u(k,tn) = - ABS(v_comp) * ( & |
|---|
| 1844 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 1845 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 1846 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 1847 | |
|---|
| 1848 | ENDDO |
|---|
| 1849 | |
|---|
| 1850 | ENDIF |
|---|
| 1851 | ! |
|---|
| 1852 | !-- Compute leftside fluxes for the respective boundary of PE |
|---|
| 1853 | IF ( i == i_omp ) THEN |
|---|
| 1854 | |
|---|
| 1855 | DO k = nzb+1, nzb_max |
|---|
| 1856 | |
|---|
| 1857 | ibit11 = IBITS(wall_flags_0(k,j,i-1),11,1) |
|---|
| 1858 | ibit10 = IBITS(wall_flags_0(k,j,i-1),10,1) |
|---|
| 1859 | ibit9 = IBITS(wall_flags_0(k,j,i-1),9,1) |
|---|
| 1860 | |
|---|
| 1861 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 1862 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 1863 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1864 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1865 | + ibit9 * adv_mom_1 & |
|---|
| 1866 | ) * & |
|---|
| 1867 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 1868 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1869 | + ibit10 * adv_mom_3 & |
|---|
| 1870 | ) * & |
|---|
| 1871 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 1872 | + ( ibit11 * adv_mom_5 & |
|---|
| 1873 | ) * & |
|---|
| 1874 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 1875 | ) |
|---|
| 1876 | |
|---|
| 1877 | diss_l_u(k,j,tn) = - ABS( u_comp_l ) * ( & |
|---|
| 1878 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1879 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1880 | + ibit9 * adv_mom_1 & |
|---|
| 1881 | ) * & |
|---|
| 1882 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 1883 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1884 | + ibit10 * adv_mom_3 & |
|---|
| 1885 | ) * & |
|---|
| 1886 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 1887 | + ( ibit11 * adv_mom_5 & |
|---|
| 1888 | ) * & |
|---|
| 1889 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 1890 | ) |
|---|
| 1891 | |
|---|
| 1892 | ENDDO |
|---|
| 1893 | |
|---|
| 1894 | DO k = nzb_max+1, nzt |
|---|
| 1895 | |
|---|
| 1896 | u_comp_l = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 1897 | flux_l_u(k,j,tn) = u_comp_l * ( & |
|---|
| 1898 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 1899 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 1900 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1901 | diss_l_u(k,j,tn) = - ABS(u_comp_l) * ( & |
|---|
| 1902 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 1903 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 1904 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 1905 | |
|---|
| 1906 | ENDDO |
|---|
| 1907 | |
|---|
| 1908 | ENDIF |
|---|
| 1909 | |
|---|
| 1910 | flux_t(0) = 0.0_wp |
|---|
| 1911 | diss_t(0) = 0.0_wp |
|---|
| 1912 | flux_d = 0.0_wp |
|---|
| 1913 | diss_d = 0.0_wp |
|---|
| 1914 | ! |
|---|
| 1915 | !-- Now compute the fluxes tendency terms for the horizontal and |
|---|
| 1916 | !-- vertical parts. |
|---|
| 1917 | DO k = nzb+1, nzb_max |
|---|
| 1918 | |
|---|
| 1919 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 1920 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 1921 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 1922 | |
|---|
| 1923 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 1924 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 1925 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1926 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1927 | + ibit9 * adv_mom_1 & |
|---|
| 1928 | ) * & |
|---|
| 1929 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 1930 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1931 | + ibit10 * adv_mom_3 & |
|---|
| 1932 | ) * & |
|---|
| 1933 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 1934 | + ( ibit11 * adv_mom_5 & |
|---|
| 1935 | ) * & |
|---|
| 1936 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 1937 | ) |
|---|
| 1938 | |
|---|
| 1939 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 1940 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1941 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 1942 | + ibit9 * adv_mom_1 & |
|---|
| 1943 | ) * & |
|---|
| 1944 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 1945 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 1946 | + ibit10 * adv_mom_3 & |
|---|
| 1947 | ) * & |
|---|
| 1948 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 1949 | + ( ibit11 * adv_mom_5 & |
|---|
| 1950 | ) * & |
|---|
| 1951 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 1952 | ) |
|---|
| 1953 | |
|---|
| 1954 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 1955 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 1956 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 1957 | |
|---|
| 1958 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 1959 | flux_n(k) = v_comp * ( & |
|---|
| 1960 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1961 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1962 | + ibit12 * adv_mom_1 & |
|---|
| 1963 | ) * & |
|---|
| 1964 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 1965 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1966 | + ibit13 * adv_mom_3 & |
|---|
| 1967 | ) * & |
|---|
| 1968 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 1969 | + ( ibit14 * adv_mom_5 & |
|---|
| 1970 | ) * & |
|---|
| 1971 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 1972 | ) |
|---|
| 1973 | |
|---|
| 1974 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 1975 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1976 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 1977 | + ibit12 * adv_mom_1 & |
|---|
| 1978 | ) * & |
|---|
| 1979 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 1980 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 1981 | + ibit13 * adv_mom_3 & |
|---|
| 1982 | ) * & |
|---|
| 1983 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 1984 | + ( ibit14 * adv_mom_5 & |
|---|
| 1985 | ) * & |
|---|
| 1986 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 1987 | ) |
|---|
| 1988 | ! |
|---|
| 1989 | !-- k index has to be modified near bottom and top, else array |
|---|
| 1990 | !-- subscripts will be exceeded. |
|---|
| 1991 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 1992 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 1993 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 1994 | |
|---|
| 1995 | k_ppp = k + 3 * ibit17 |
|---|
| 1996 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 1997 | k_mm = k - 2 * ibit17 |
|---|
| 1998 | |
|---|
| 1999 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2000 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 2001 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2002 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2003 | + ibit15 * adv_mom_1 & |
|---|
| 2004 | ) * & |
|---|
| 2005 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2006 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2007 | + ibit16 * adv_mom_3 & |
|---|
| 2008 | ) * & |
|---|
| 2009 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2010 | + ( ibit17 * adv_mom_5 & |
|---|
| 2011 | ) * & |
|---|
| 2012 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2013 | ) |
|---|
| 2014 | |
|---|
| 2015 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 2016 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2017 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2018 | + ibit15 * adv_mom_1 & |
|---|
| 2019 | ) * & |
|---|
| 2020 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2021 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2022 | + ibit16 * adv_mom_3 & |
|---|
| 2023 | ) * & |
|---|
| 2024 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2025 | + ( ibit17 * adv_mom_5 & |
|---|
| 2026 | ) * & |
|---|
| 2027 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2028 | ) |
|---|
| 2029 | ! |
|---|
| 2030 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2031 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2032 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2033 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
|---|
| 2034 | - ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 2035 | * ( IBITS(wall_flags_0(k,j,i-1),9,1) & |
|---|
| 2036 | + IBITS(wall_flags_0(k,j,i-1),10,1) & |
|---|
| 2037 | + IBITS(wall_flags_0(k,j,i-1),11,1) & |
|---|
| 2038 | ) & |
|---|
| 2039 | ) * rho_air(k) * ddx & |
|---|
| 2040 | + ( ( v_comp + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
|---|
| 2041 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
|---|
| 2042 | * ( IBITS(wall_flags_0(k,j-1,i),12,1) & |
|---|
| 2043 | + IBITS(wall_flags_0(k,j-1,i),13,1) & |
|---|
| 2044 | + IBITS(wall_flags_0(k,j-1,i),14,1) & |
|---|
| 2045 | ) & |
|---|
| 2046 | ) * rho_air(k) * ddy & |
|---|
| 2047 | + ( w_comp * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 ) & |
|---|
| 2048 | - ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 2049 | * ( IBITS(wall_flags_0(k-1,j,i),15,1) & |
|---|
| 2050 | + IBITS(wall_flags_0(k-1,j,i),16,1) & |
|---|
| 2051 | + IBITS(wall_flags_0(k-1,j,i),17,1) & |
|---|
| 2052 | ) & |
|---|
| 2053 | ) * ddzw(k) & |
|---|
| 2054 | ) * 0.5_wp |
|---|
| 2055 | |
|---|
| 2056 | |
|---|
| 2057 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2058 | ( flux_r(k) + diss_r(k) & |
|---|
| 2059 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 2060 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2061 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 2062 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2063 | - ( flux_d + diss_d ) & |
|---|
| 2064 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2065 | ) + div * u(k,j,i) |
|---|
| 2066 | |
|---|
| 2067 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 2068 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 2069 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 2070 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 2071 | flux_d = flux_t(k) |
|---|
| 2072 | diss_d = diss_t(k) |
|---|
| 2073 | ! |
|---|
| 2074 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 2075 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2076 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2077 | + ( flux_r(k) & |
|---|
| 2078 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2079 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 2080 | + diss_r(k) & |
|---|
| 2081 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2082 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 2083 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2084 | ! |
|---|
| 2085 | !-- Statistical Evaluation of w'u'. |
|---|
| 2086 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2087 | + ( flux_t(k) & |
|---|
| 2088 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2089 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 2090 | + diss_t(k) & |
|---|
| 2091 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2092 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 2093 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2094 | ENDDO |
|---|
| 2095 | |
|---|
| 2096 | DO k = nzb_max+1, nzt |
|---|
| 2097 | |
|---|
| 2098 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 2099 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 2100 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 2101 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 2102 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2103 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 2104 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 2105 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 2106 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2107 | |
|---|
| 2108 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 2109 | flux_n(k) = v_comp * ( & |
|---|
| 2110 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 2111 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 2112 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2113 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 2114 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 2115 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 2116 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2117 | ! |
|---|
| 2118 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2119 | !-- subscripts will be exceeded. |
|---|
| 2120 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 2121 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 2122 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 2123 | |
|---|
| 2124 | k_ppp = k + 3 * ibit17 |
|---|
| 2125 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 2126 | k_mm = k - 2 * ibit17 |
|---|
| 2127 | |
|---|
| 2128 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 2129 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 2130 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2131 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2132 | + ibit15 * adv_mom_1 & |
|---|
| 2133 | ) * & |
|---|
| 2134 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 2135 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2136 | + ibit16 * adv_mom_3 & |
|---|
| 2137 | ) * & |
|---|
| 2138 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 2139 | + ( ibit17 * adv_mom_5 & |
|---|
| 2140 | ) * & |
|---|
| 2141 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 2142 | ) |
|---|
| 2143 | |
|---|
| 2144 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 2145 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2146 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 2147 | + ibit15 * adv_mom_1 & |
|---|
| 2148 | ) * & |
|---|
| 2149 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 2150 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 2151 | + ibit16 * adv_mom_3 & |
|---|
| 2152 | ) * & |
|---|
| 2153 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 2154 | + ( ibit17 * adv_mom_5 & |
|---|
| 2155 | ) * & |
|---|
| 2156 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 2157 | ) |
|---|
| 2158 | ! |
|---|
| 2159 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2160 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2161 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2162 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 2163 | * rho_air(k)& |
|---|
| 2164 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 2165 | * rho_air(k)& |
|---|
| 2166 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 2167 | ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 2168 | ) * ddzw(k) & |
|---|
| 2169 | ) * 0.5_wp |
|---|
| 2170 | |
|---|
| 2171 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2172 | ( flux_r(k) + diss_r(k) & |
|---|
| 2173 | - flux_l_u(k,j,tn) - diss_l_u(k,j,tn) ) * ddx & |
|---|
| 2174 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2175 | - flux_s_u(k,tn) - diss_s_u(k,tn) ) * ddy & |
|---|
| 2176 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2177 | - ( flux_d + diss_d ) & |
|---|
| 2178 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2179 | ) + div * u(k,j,i) |
|---|
| 2180 | |
|---|
| 2181 | flux_l_u(k,j,tn) = flux_r(k) |
|---|
| 2182 | diss_l_u(k,j,tn) = diss_r(k) |
|---|
| 2183 | flux_s_u(k,tn) = flux_n(k) |
|---|
| 2184 | diss_s_u(k,tn) = diss_n(k) |
|---|
| 2185 | flux_d = flux_t(k) |
|---|
| 2186 | diss_d = diss_t(k) |
|---|
| 2187 | ! |
|---|
| 2188 | !-- Statistical Evaluation of u'u'. The factor has to be applied for |
|---|
| 2189 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2190 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 2191 | + ( flux_r(k) & |
|---|
| 2192 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2193 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 2194 | + diss_r(k) & |
|---|
| 2195 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 2196 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 2197 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2198 | ! |
|---|
| 2199 | !-- Statistical Evaluation of w'u'. |
|---|
| 2200 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 2201 | + ( flux_t(k) & |
|---|
| 2202 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2203 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 2204 | + diss_t(k) & |
|---|
| 2205 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2206 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 2207 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2208 | ENDDO |
|---|
| 2209 | |
|---|
| 2210 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 2211 | |
|---|
| 2212 | |
|---|
| 2213 | |
|---|
| 2214 | END SUBROUTINE advec_u_ws_ij |
|---|
| 2215 | |
|---|
| 2216 | |
|---|
| 2217 | |
|---|
| 2218 | !-----------------------------------------------------------------------------! |
|---|
| 2219 | ! Description: |
|---|
| 2220 | ! ------------ |
|---|
| 2221 | !> Advection of v-component - Call for grid point i,j |
|---|
| 2222 | !-----------------------------------------------------------------------------! |
|---|
| 2223 | SUBROUTINE advec_v_ws_ij( i, j, i_omp, tn ) |
|---|
| 2224 | |
|---|
| 2225 | USE arrays_3d, & |
|---|
| 2226 | ONLY: ddzw, diss_l_v, diss_s_v, flux_l_v, flux_s_v, tend, u, v, w, & |
|---|
| 2227 | drho_air, rho_air, rho_air_zw |
|---|
| 2228 | |
|---|
| 2229 | USE constants, & |
|---|
| 2230 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 2231 | |
|---|
| 2232 | USE control_parameters, & |
|---|
| 2233 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 2234 | |
|---|
| 2235 | USE grid_variables, & |
|---|
| 2236 | ONLY: ddx, ddy |
|---|
| 2237 | |
|---|
| 2238 | USE indices, & |
|---|
| 2239 | ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_max, nzt, wall_flags_0 |
|---|
| 2240 | |
|---|
| 2241 | USE kinds |
|---|
| 2242 | |
|---|
| 2243 | USE statistics, & |
|---|
| 2244 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
|---|
| 2245 | |
|---|
| 2246 | IMPLICIT NONE |
|---|
| 2247 | |
|---|
| 2248 | INTEGER(iwp) :: i !< |
|---|
| 2249 | INTEGER(iwp) :: ibit18 !< |
|---|
| 2250 | INTEGER(iwp) :: ibit19 !< |
|---|
| 2251 | INTEGER(iwp) :: ibit20 !< |
|---|
| 2252 | INTEGER(iwp) :: ibit21 !< |
|---|
| 2253 | INTEGER(iwp) :: ibit22 !< |
|---|
| 2254 | INTEGER(iwp) :: ibit23 !< |
|---|
| 2255 | INTEGER(iwp) :: ibit24 !< |
|---|
| 2256 | INTEGER(iwp) :: ibit25 !< |
|---|
| 2257 | INTEGER(iwp) :: ibit26 !< |
|---|
| 2258 | INTEGER(iwp) :: i_omp !< |
|---|
| 2259 | INTEGER(iwp) :: j !< |
|---|
| 2260 | INTEGER(iwp) :: k !< |
|---|
| 2261 | INTEGER(iwp) :: k_mm !< |
|---|
| 2262 | INTEGER(iwp) :: k_pp !< |
|---|
| 2263 | INTEGER(iwp) :: k_ppp !< |
|---|
| 2264 | INTEGER(iwp) :: tn !< |
|---|
| 2265 | |
|---|
| 2266 | REAL(wp) :: diss_d !< |
|---|
| 2267 | REAL(wp) :: div !< |
|---|
| 2268 | REAL(wp) :: flux_d !< |
|---|
| 2269 | REAL(wp) :: gu !< |
|---|
| 2270 | REAL(wp) :: gv !< |
|---|
| 2271 | REAL(wp) :: u_comp !< |
|---|
| 2272 | REAL(wp) :: v_comp_l !< |
|---|
| 2273 | REAL(wp) :: w_comp !< |
|---|
| 2274 | |
|---|
| 2275 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 2276 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 2277 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 2278 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 2279 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 2280 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 2281 | REAL(wp), DIMENSION(nzb:nzt+1) :: v_comp !< |
|---|
| 2282 | |
|---|
| 2283 | gu = 2.0_wp * u_gtrans |
|---|
| 2284 | gv = 2.0_wp * v_gtrans |
|---|
| 2285 | |
|---|
| 2286 | ! |
|---|
| 2287 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 2288 | IF ( i == i_omp ) THEN |
|---|
| 2289 | |
|---|
| 2290 | DO k = nzb+1, nzb_max |
|---|
| 2291 | |
|---|
| 2292 | ibit20 = IBITS(wall_flags_0(k,j,i-1),20,1) |
|---|
| 2293 | ibit19 = IBITS(wall_flags_0(k,j,i-1),19,1) |
|---|
| 2294 | ibit18 = IBITS(wall_flags_0(k,j,i-1),18,1) |
|---|
| 2295 | |
|---|
| 2296 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2297 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 2298 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2299 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2300 | + ibit18 * adv_mom_1 & |
|---|
| 2301 | ) * & |
|---|
| 2302 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2303 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2304 | + ibit19 * adv_mom_3 & |
|---|
| 2305 | ) * & |
|---|
| 2306 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2307 | + ( ibit20 * adv_mom_5 & |
|---|
| 2308 | ) * & |
|---|
| 2309 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 2310 | ) |
|---|
| 2311 | |
|---|
| 2312 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 2313 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2314 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2315 | + ibit18 * adv_mom_1 & |
|---|
| 2316 | ) * & |
|---|
| 2317 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2318 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2319 | + ibit19 * adv_mom_3 & |
|---|
| 2320 | ) * & |
|---|
| 2321 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2322 | + ( ibit20 * adv_mom_5 & |
|---|
| 2323 | ) * & |
|---|
| 2324 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 2325 | ) |
|---|
| 2326 | |
|---|
| 2327 | ENDDO |
|---|
| 2328 | |
|---|
| 2329 | DO k = nzb_max+1, nzt |
|---|
| 2330 | |
|---|
| 2331 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 2332 | flux_l_v(k,j,tn) = u_comp * ( & |
|---|
| 2333 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 2334 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 2335 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2336 | diss_l_v(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 2337 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 2338 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 2339 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2340 | |
|---|
| 2341 | ENDDO |
|---|
| 2342 | |
|---|
| 2343 | ENDIF |
|---|
| 2344 | ! |
|---|
| 2345 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 2346 | IF ( j == nysv ) THEN |
|---|
| 2347 | |
|---|
| 2348 | DO k = nzb+1, nzb_max |
|---|
| 2349 | |
|---|
| 2350 | ibit23 = IBITS(wall_flags_0(k,j-1,i),23,1) |
|---|
| 2351 | ibit22 = IBITS(wall_flags_0(k,j-1,i),22,1) |
|---|
| 2352 | ibit21 = IBITS(wall_flags_0(k,j-1,i),21,1) |
|---|
| 2353 | |
|---|
| 2354 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2355 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 2356 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2357 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2358 | + ibit21 * adv_mom_1 & |
|---|
| 2359 | ) * & |
|---|
| 2360 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2361 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2362 | + ibit22 * adv_mom_3 & |
|---|
| 2363 | ) * & |
|---|
| 2364 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2365 | + ( ibit23 * adv_mom_5 & |
|---|
| 2366 | ) * & |
|---|
| 2367 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 2368 | ) |
|---|
| 2369 | |
|---|
| 2370 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 2371 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2372 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2373 | + ibit21 * adv_mom_1 & |
|---|
| 2374 | ) * & |
|---|
| 2375 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2376 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2377 | + ibit22 * adv_mom_3 & |
|---|
| 2378 | ) * & |
|---|
| 2379 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2380 | + ( ibit23 * adv_mom_5 & |
|---|
| 2381 | ) * & |
|---|
| 2382 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 2383 | ) |
|---|
| 2384 | |
|---|
| 2385 | ENDDO |
|---|
| 2386 | |
|---|
| 2387 | DO k = nzb_max+1, nzt |
|---|
| 2388 | |
|---|
| 2389 | v_comp_l = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 2390 | flux_s_v(k,tn) = v_comp_l * ( & |
|---|
| 2391 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2392 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 2393 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2394 | diss_s_v(k,tn) = - ABS( v_comp_l ) * ( & |
|---|
| 2395 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 2396 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 2397 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2398 | |
|---|
| 2399 | ENDDO |
|---|
| 2400 | |
|---|
| 2401 | ENDIF |
|---|
| 2402 | |
|---|
| 2403 | flux_t(0) = 0.0_wp |
|---|
| 2404 | diss_t(0) = 0.0_wp |
|---|
| 2405 | flux_d = 0.0_wp |
|---|
| 2406 | diss_d = 0.0_wp |
|---|
| 2407 | ! |
|---|
| 2408 | !-- Now compute the fluxes and tendency terms for the horizontal and |
|---|
| 2409 | !-- verical parts. |
|---|
| 2410 | DO k = nzb+1, nzb_max |
|---|
| 2411 | |
|---|
| 2412 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 2413 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 2414 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 2415 | |
|---|
| 2416 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2417 | flux_r(k) = u_comp * ( & |
|---|
| 2418 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2419 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2420 | + ibit18 * adv_mom_1 & |
|---|
| 2421 | ) * & |
|---|
| 2422 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2423 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2424 | + ibit19 * adv_mom_3 & |
|---|
| 2425 | ) * & |
|---|
| 2426 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2427 | + ( ibit20 * adv_mom_5 & |
|---|
| 2428 | ) * & |
|---|
| 2429 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 2430 | ) |
|---|
| 2431 | |
|---|
| 2432 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 2433 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2434 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 2435 | + ibit18 * adv_mom_1 & |
|---|
| 2436 | ) * & |
|---|
| 2437 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2438 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 2439 | + ibit19 * adv_mom_3 & |
|---|
| 2440 | ) * & |
|---|
| 2441 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2442 | + ( ibit20 * adv_mom_5 & |
|---|
| 2443 | ) * & |
|---|
| 2444 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 2445 | ) |
|---|
| 2446 | |
|---|
| 2447 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 2448 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 2449 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 2450 | |
|---|
| 2451 | |
|---|
| 2452 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2453 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2454 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2455 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2456 | + ibit21 * adv_mom_1 & |
|---|
| 2457 | ) * & |
|---|
| 2458 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2459 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2460 | + ibit22 * adv_mom_3 & |
|---|
| 2461 | ) * & |
|---|
| 2462 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2463 | + ( ibit23 * adv_mom_5 & |
|---|
| 2464 | ) * & |
|---|
| 2465 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 2466 | ) |
|---|
| 2467 | |
|---|
| 2468 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2469 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2470 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 2471 | + ibit21 * adv_mom_1 & |
|---|
| 2472 | ) * & |
|---|
| 2473 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2474 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 2475 | + ibit22 * adv_mom_3 & |
|---|
| 2476 | ) * & |
|---|
| 2477 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2478 | + ( ibit23 * adv_mom_5 & |
|---|
| 2479 | ) * & |
|---|
| 2480 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 2481 | ) |
|---|
| 2482 | ! |
|---|
| 2483 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2484 | !-- subscripts will be exceeded. |
|---|
| 2485 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 2486 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 2487 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 2488 | |
|---|
| 2489 | k_ppp = k + 3 * ibit26 |
|---|
| 2490 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2491 | k_mm = k - 2 * ibit26 |
|---|
| 2492 | |
|---|
| 2493 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 2494 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 2495 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2496 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2497 | + ibit24 * adv_mom_1 & |
|---|
| 2498 | ) * & |
|---|
| 2499 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2500 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2501 | + ibit25 * adv_mom_3 & |
|---|
| 2502 | ) * & |
|---|
| 2503 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2504 | + ( ibit26 * adv_mom_5 & |
|---|
| 2505 | ) * & |
|---|
| 2506 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2507 | ) |
|---|
| 2508 | |
|---|
| 2509 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 2510 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2511 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2512 | + ibit24 * adv_mom_1 & |
|---|
| 2513 | ) * & |
|---|
| 2514 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2515 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2516 | + ibit25 * adv_mom_3 & |
|---|
| 2517 | ) * & |
|---|
| 2518 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2519 | + ( ibit26 * adv_mom_5 & |
|---|
| 2520 | ) * & |
|---|
| 2521 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 2522 | ) |
|---|
| 2523 | ! |
|---|
| 2524 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2525 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2526 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2527 | div = ( ( ( u_comp + gu ) & |
|---|
| 2528 | * ( ibit18 + ibit19 + ibit20 ) & |
|---|
| 2529 | - ( u(k,j-1,i) + u(k,j,i) ) & |
|---|
| 2530 | * ( IBITS(wall_flags_0(k,j,i-1),18,1) & |
|---|
| 2531 | + IBITS(wall_flags_0(k,j,i-1),19,1) & |
|---|
| 2532 | + IBITS(wall_flags_0(k,j,i-1),20,1) & |
|---|
| 2533 | ) & |
|---|
| 2534 | ) * rho_air(k) * ddx & |
|---|
| 2535 | + ( v_comp(k) & |
|---|
| 2536 | * ( ibit21 + ibit22 + ibit23 ) & |
|---|
| 2537 | - ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 2538 | * ( IBITS(wall_flags_0(k,j-1,i),21,1) & |
|---|
| 2539 | + IBITS(wall_flags_0(k,j-1,i),22,1) & |
|---|
| 2540 | + IBITS(wall_flags_0(k,j-1,i),23,1) & |
|---|
| 2541 | ) & |
|---|
| 2542 | ) * rho_air(k) * ddy & |
|---|
| 2543 | + ( w_comp * rho_air_zw(k) * ( ibit24 + ibit25 + ibit26 ) & |
|---|
| 2544 | - ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 2545 | * ( IBITS(wall_flags_0(k-1,j,i),24,1) & |
|---|
| 2546 | + IBITS(wall_flags_0(k-1,j,i),25,1) & |
|---|
| 2547 | + IBITS(wall_flags_0(k-1,j,i),26,1) & |
|---|
| 2548 | ) & |
|---|
| 2549 | ) * ddzw(k) & |
|---|
| 2550 | ) * 0.5_wp |
|---|
| 2551 | |
|---|
| 2552 | |
|---|
| 2553 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2554 | ( flux_r(k) + diss_r(k) & |
|---|
| 2555 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 2556 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2557 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 2558 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2559 | - ( flux_d + diss_d ) & |
|---|
| 2560 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2561 | ) + v(k,j,i) * div |
|---|
| 2562 | |
|---|
| 2563 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 2564 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 2565 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 2566 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 2567 | flux_d = flux_t(k) |
|---|
| 2568 | diss_d = diss_t(k) |
|---|
| 2569 | |
|---|
| 2570 | ! |
|---|
| 2571 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 2572 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2573 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 2574 | + ( flux_n(k) & |
|---|
| 2575 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2576 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 2577 | + diss_n(k) & |
|---|
| 2578 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2579 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 2580 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2581 | ! |
|---|
| 2582 | !-- Statistical Evaluation of w'u'. |
|---|
| 2583 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 2584 | + ( flux_t(k) & |
|---|
| 2585 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2586 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 2587 | + diss_t(k) & |
|---|
| 2588 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2589 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 2590 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2591 | |
|---|
| 2592 | ENDDO |
|---|
| 2593 | |
|---|
| 2594 | DO k = nzb_max+1, nzt |
|---|
| 2595 | |
|---|
| 2596 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 2597 | flux_r(k) = u_comp * ( & |
|---|
| 2598 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 2599 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 2600 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2601 | |
|---|
| 2602 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 2603 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 2604 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 2605 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 2606 | |
|---|
| 2607 | |
|---|
| 2608 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 2609 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 2610 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 2611 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 2612 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2613 | |
|---|
| 2614 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 2615 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 2616 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 2617 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 2618 | ! |
|---|
| 2619 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2620 | !-- subscripts will be exceeded. |
|---|
| 2621 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 2622 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 2623 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 2624 | |
|---|
| 2625 | k_ppp = k + 3 * ibit26 |
|---|
| 2626 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 2627 | k_mm = k - 2 * ibit26 |
|---|
| 2628 | |
|---|
| 2629 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 2630 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 2631 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2632 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2633 | + ibit24 * adv_mom_1 & |
|---|
| 2634 | ) * & |
|---|
| 2635 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 2636 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2637 | + ibit25 * adv_mom_3 & |
|---|
| 2638 | ) * & |
|---|
| 2639 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 2640 | + ( ibit26 * adv_mom_5 & |
|---|
| 2641 | ) * & |
|---|
| 2642 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 2643 | ) |
|---|
| 2644 | |
|---|
| 2645 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 2646 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2647 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 2648 | + ibit24 * adv_mom_1 & |
|---|
| 2649 | ) * & |
|---|
| 2650 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 2651 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 2652 | + ibit25 * adv_mom_3 & |
|---|
| 2653 | ) * & |
|---|
| 2654 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 2655 | + ( ibit26 * adv_mom_5 & |
|---|
| 2656 | ) * & |
|---|
| 2657 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 2658 | ) |
|---|
| 2659 | ! |
|---|
| 2660 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 2661 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 2662 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 2663 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 2664 | * rho_air(k)& |
|---|
| 2665 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 2666 | * rho_air(k)& |
|---|
| 2667 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 2668 | ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 2669 | ) * ddzw(k) & |
|---|
| 2670 | ) * 0.5_wp |
|---|
| 2671 | |
|---|
| 2672 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 2673 | ( flux_r(k) + diss_r(k) & |
|---|
| 2674 | - flux_l_v(k,j,tn) - diss_l_v(k,j,tn) ) * ddx & |
|---|
| 2675 | + ( flux_n(k) + diss_n(k) & |
|---|
| 2676 | - flux_s_v(k,tn) - diss_s_v(k,tn) ) * ddy & |
|---|
| 2677 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 2678 | - ( flux_d + diss_d ) & |
|---|
| 2679 | ) * drho_air(k) * ddzw(k) & |
|---|
| 2680 | ) + v(k,j,i) * div |
|---|
| 2681 | |
|---|
| 2682 | flux_l_v(k,j,tn) = flux_r(k) |
|---|
| 2683 | diss_l_v(k,j,tn) = diss_r(k) |
|---|
| 2684 | flux_s_v(k,tn) = flux_n(k) |
|---|
| 2685 | diss_s_v(k,tn) = diss_n(k) |
|---|
| 2686 | flux_d = flux_t(k) |
|---|
| 2687 | diss_d = diss_t(k) |
|---|
| 2688 | |
|---|
| 2689 | ! |
|---|
| 2690 | !-- Statistical Evaluation of v'v'. The factor has to be applied for |
|---|
| 2691 | !-- right evaluation when gallilei_trans = .T. . |
|---|
| 2692 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 2693 | + ( flux_n(k) & |
|---|
| 2694 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2695 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 2696 | + diss_n(k) & |
|---|
| 2697 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 2698 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 2699 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2700 | ! |
|---|
| 2701 | !-- Statistical Evaluation of w'u'. |
|---|
| 2702 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 2703 | + ( flux_t(k) & |
|---|
| 2704 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2705 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 2706 | + diss_t(k) & |
|---|
| 2707 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 2708 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 2709 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 2710 | |
|---|
| 2711 | ENDDO |
|---|
| 2712 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 2713 | |
|---|
| 2714 | |
|---|
| 2715 | END SUBROUTINE advec_v_ws_ij |
|---|
| 2716 | |
|---|
| 2717 | |
|---|
| 2718 | |
|---|
| 2719 | !------------------------------------------------------------------------------! |
|---|
| 2720 | ! Description: |
|---|
| 2721 | ! ------------ |
|---|
| 2722 | !> Advection of w-component - Call for grid point i,j |
|---|
| 2723 | !------------------------------------------------------------------------------! |
|---|
| 2724 | SUBROUTINE advec_w_ws_ij( i, j, i_omp, tn ) |
|---|
| 2725 | |
|---|
| 2726 | USE arrays_3d, & |
|---|
| 2727 | ONLY: ddzu, diss_l_w, diss_s_w, flux_l_w, flux_s_w, tend, u, v, w,& |
|---|
| 2728 | drho_air_zw, rho_air, rho_air_zw |
|---|
| 2729 | |
|---|
| 2730 | USE constants, & |
|---|
| 2731 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 2732 | |
|---|
| 2733 | USE control_parameters, & |
|---|
| 2734 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 2735 | |
|---|
| 2736 | USE grid_variables, & |
|---|
| 2737 | ONLY: ddx, ddy |
|---|
| 2738 | |
|---|
| 2739 | USE indices, & |
|---|
| 2740 | ONLY: nxl, nxr, nyn, nys, nzb, nzb_max, nzt, wall_flags_0, & |
|---|
| 2741 | wall_flags_00 |
|---|
| 2742 | |
|---|
| 2743 | USE kinds |
|---|
| 2744 | |
|---|
| 2745 | USE statistics, & |
|---|
| 2746 | ONLY: hom, sums_ws2_ws_l, weight_substep |
|---|
| 2747 | |
|---|
| 2748 | IMPLICIT NONE |
|---|
| 2749 | |
|---|
| 2750 | INTEGER(iwp) :: i !< |
|---|
| 2751 | INTEGER(iwp) :: ibit27 !< |
|---|
| 2752 | INTEGER(iwp) :: ibit28 !< |
|---|
| 2753 | INTEGER(iwp) :: ibit29 !< |
|---|
| 2754 | INTEGER(iwp) :: ibit30 !< |
|---|
| 2755 | INTEGER(iwp) :: ibit31 !< |
|---|
| 2756 | INTEGER(iwp) :: ibit32 !< |
|---|
| 2757 | INTEGER(iwp) :: ibit33 !< |
|---|
| 2758 | INTEGER(iwp) :: ibit34 !< |
|---|
| 2759 | INTEGER(iwp) :: ibit35 !< |
|---|
| 2760 | INTEGER(iwp) :: i_omp !< |
|---|
| 2761 | INTEGER(iwp) :: j !< |
|---|
| 2762 | INTEGER(iwp) :: k !< |
|---|
| 2763 | INTEGER(iwp) :: k_mm !< |
|---|
| 2764 | INTEGER(iwp) :: k_pp !< |
|---|
| 2765 | INTEGER(iwp) :: k_ppp !< |
|---|
| 2766 | INTEGER(iwp) :: tn !< |
|---|
| 2767 | |
|---|
| 2768 | REAL(wp) :: diss_d !< |
|---|
| 2769 | REAL(wp) :: div !< |
|---|
| 2770 | REAL(wp) :: flux_d !< |
|---|
| 2771 | REAL(wp) :: gu !< |
|---|
| 2772 | REAL(wp) :: gv !< |
|---|
| 2773 | REAL(wp) :: u_comp !< |
|---|
| 2774 | REAL(wp) :: v_comp !< |
|---|
| 2775 | REAL(wp) :: w_comp !< |
|---|
| 2776 | |
|---|
| 2777 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_n !< |
|---|
| 2778 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_r !< |
|---|
| 2779 | REAL(wp), DIMENSION(nzb:nzt+1) :: diss_t !< |
|---|
| 2780 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_n !< |
|---|
| 2781 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_r !< |
|---|
| 2782 | REAL(wp), DIMENSION(nzb:nzt+1) :: flux_t !< |
|---|
| 2783 | |
|---|
| 2784 | gu = 2.0_wp * u_gtrans |
|---|
| 2785 | gv = 2.0_wp * v_gtrans |
|---|
| 2786 | |
|---|
| 2787 | ! |
|---|
| 2788 | !-- Compute southside fluxes for the respective boundary. |
|---|
| 2789 | IF ( j == nys ) THEN |
|---|
| 2790 | |
|---|
| 2791 | DO k = nzb+1, nzb_max |
|---|
| 2792 | ibit32 = IBITS(wall_flags_00(k,j-1,i),0,1) |
|---|
| 2793 | ibit31 = IBITS(wall_flags_0(k,j-1,i),31,1) |
|---|
| 2794 | ibit30 = IBITS(wall_flags_0(k,j-1,i),30,1) |
|---|
| 2795 | |
|---|
| 2796 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 2797 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 2798 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2799 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2800 | + ibit30 * adv_mom_1 & |
|---|
| 2801 | ) * & |
|---|
| 2802 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 2803 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2804 | + ibit31 * adv_mom_3 & |
|---|
| 2805 | ) * & |
|---|
| 2806 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 2807 | + ( ibit32 * adv_mom_5 & |
|---|
| 2808 | ) * & |
|---|
| 2809 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 2810 | ) |
|---|
| 2811 | |
|---|
| 2812 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 2813 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2814 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2815 | + ibit30 * adv_mom_1 & |
|---|
| 2816 | ) * & |
|---|
| 2817 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 2818 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2819 | + ibit31 * adv_mom_3 & |
|---|
| 2820 | ) * & |
|---|
| 2821 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 2822 | + ( ibit32 * adv_mom_5 & |
|---|
| 2823 | ) * & |
|---|
| 2824 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 2825 | ) |
|---|
| 2826 | |
|---|
| 2827 | ENDDO |
|---|
| 2828 | |
|---|
| 2829 | DO k = nzb_max+1, nzt |
|---|
| 2830 | |
|---|
| 2831 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 2832 | flux_s_w(k,tn) = v_comp * ( & |
|---|
| 2833 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 2834 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 2835 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2836 | diss_s_w(k,tn) = - ABS( v_comp ) * ( & |
|---|
| 2837 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 2838 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 2839 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 2840 | |
|---|
| 2841 | ENDDO |
|---|
| 2842 | |
|---|
| 2843 | ENDIF |
|---|
| 2844 | ! |
|---|
| 2845 | !-- Compute leftside fluxes for the respective boundary. |
|---|
| 2846 | IF ( i == i_omp ) THEN |
|---|
| 2847 | |
|---|
| 2848 | DO k = nzb+1, nzb_max |
|---|
| 2849 | |
|---|
| 2850 | ibit29 = IBITS(wall_flags_0(k,j,i-1),29,1) |
|---|
| 2851 | ibit28 = IBITS(wall_flags_0(k,j,i-1),28,1) |
|---|
| 2852 | ibit27 = IBITS(wall_flags_0(k,j,i-1),27,1) |
|---|
| 2853 | |
|---|
| 2854 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 2855 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 2856 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2857 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2858 | + ibit27 * adv_mom_1 & |
|---|
| 2859 | ) * & |
|---|
| 2860 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 2861 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2862 | + ibit28 * adv_mom_3 & |
|---|
| 2863 | ) * & |
|---|
| 2864 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 2865 | + ( ibit29 * adv_mom_5 & |
|---|
| 2866 | ) * & |
|---|
| 2867 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 2868 | ) |
|---|
| 2869 | |
|---|
| 2870 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 2871 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2872 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2873 | + ibit27 * adv_mom_1 & |
|---|
| 2874 | ) * & |
|---|
| 2875 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 2876 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2877 | + ibit28 * adv_mom_3 & |
|---|
| 2878 | ) * & |
|---|
| 2879 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 2880 | + ( ibit29 * adv_mom_5 & |
|---|
| 2881 | ) * & |
|---|
| 2882 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 2883 | ) |
|---|
| 2884 | |
|---|
| 2885 | ENDDO |
|---|
| 2886 | |
|---|
| 2887 | DO k = nzb_max+1, nzt |
|---|
| 2888 | |
|---|
| 2889 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 2890 | flux_l_w(k,j,tn) = u_comp * ( & |
|---|
| 2891 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 2892 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 2893 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2894 | diss_l_w(k,j,tn) = - ABS( u_comp ) * ( & |
|---|
| 2895 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 2896 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 2897 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 2898 | |
|---|
| 2899 | ENDDO |
|---|
| 2900 | |
|---|
| 2901 | ENDIF |
|---|
| 2902 | ! |
|---|
| 2903 | !-- The lower flux has to be calculated explicetely for the tendency at |
|---|
| 2904 | !-- the first w-level. For topography wall this is done implicitely by |
|---|
| 2905 | !-- wall_flags_0. |
|---|
| 2906 | k = nzb + 1 |
|---|
| 2907 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 2908 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 2909 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 2910 | flux_d = flux_t(0) |
|---|
| 2911 | diss_d = diss_t(0) |
|---|
| 2912 | ! |
|---|
| 2913 | !-- Now compute the fluxes and tendency terms for the horizontal |
|---|
| 2914 | !-- and vertical parts. |
|---|
| 2915 | DO k = nzb+1, nzb_max |
|---|
| 2916 | |
|---|
| 2917 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 2918 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 2919 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 2920 | |
|---|
| 2921 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 2922 | flux_r(k) = u_comp * ( & |
|---|
| 2923 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2924 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2925 | + ibit27 * adv_mom_1 & |
|---|
| 2926 | ) * & |
|---|
| 2927 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 2928 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2929 | + ibit28 * adv_mom_3 & |
|---|
| 2930 | ) * & |
|---|
| 2931 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 2932 | + ( ibit29 * adv_mom_5 & |
|---|
| 2933 | ) * & |
|---|
| 2934 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 2935 | ) |
|---|
| 2936 | |
|---|
| 2937 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 2938 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2939 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 2940 | + ibit27 * adv_mom_1 & |
|---|
| 2941 | ) * & |
|---|
| 2942 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 2943 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 2944 | + ibit28 * adv_mom_3 & |
|---|
| 2945 | ) * & |
|---|
| 2946 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 2947 | + ( ibit29 * adv_mom_5 & |
|---|
| 2948 | ) * & |
|---|
| 2949 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 2950 | ) |
|---|
| 2951 | |
|---|
| 2952 | ibit32 = IBITS(wall_flags_00(k,j,i),0,1) |
|---|
| 2953 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 2954 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 2955 | |
|---|
| 2956 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 2957 | flux_n(k) = v_comp * ( & |
|---|
| 2958 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2959 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2960 | + ibit30 * adv_mom_1 & |
|---|
| 2961 | ) * & |
|---|
| 2962 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 2963 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2964 | + ibit31 * adv_mom_3 & |
|---|
| 2965 | ) * & |
|---|
| 2966 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 2967 | + ( ibit32 * adv_mom_5 & |
|---|
| 2968 | ) * & |
|---|
| 2969 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 2970 | ) |
|---|
| 2971 | |
|---|
| 2972 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 2973 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2974 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 2975 | + ibit30 * adv_mom_1 & |
|---|
| 2976 | ) * & |
|---|
| 2977 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 2978 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 2979 | + ibit31 * adv_mom_3 & |
|---|
| 2980 | ) * & |
|---|
| 2981 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 2982 | + ( ibit32 * adv_mom_5 & |
|---|
| 2983 | ) * & |
|---|
| 2984 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 2985 | ) |
|---|
| 2986 | ! |
|---|
| 2987 | !-- k index has to be modified near bottom and top, else array |
|---|
| 2988 | !-- subscripts will be exceeded. |
|---|
| 2989 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
|---|
| 2990 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
|---|
| 2991 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
|---|
| 2992 | |
|---|
| 2993 | k_ppp = k + 3 * ibit35 |
|---|
| 2994 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 2995 | k_mm = k - 2 * ibit35 |
|---|
| 2996 | |
|---|
| 2997 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 2998 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 2999 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3000 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3001 | + ibit33 * adv_mom_1 & |
|---|
| 3002 | ) * & |
|---|
| 3003 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3004 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3005 | + ibit34 * adv_mom_3 & |
|---|
| 3006 | ) * & |
|---|
| 3007 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3008 | + ( ibit35 * adv_mom_5 & |
|---|
| 3009 | ) * & |
|---|
| 3010 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3011 | ) |
|---|
| 3012 | |
|---|
| 3013 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 3014 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3015 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3016 | + ibit33 * adv_mom_1 & |
|---|
| 3017 | ) * & |
|---|
| 3018 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3019 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3020 | + ibit34 * adv_mom_3 & |
|---|
| 3021 | ) * & |
|---|
| 3022 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3023 | + ( ibit35 * adv_mom_5 & |
|---|
| 3024 | ) * & |
|---|
| 3025 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3026 | ) |
|---|
| 3027 | |
|---|
| 3028 | ! |
|---|
| 3029 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3030 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3031 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3032 | div = ( ( ( u_comp + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
|---|
| 3033 | - ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 3034 | * ( IBITS(wall_flags_0(k,j,i-1),27,1) & |
|---|
| 3035 | + IBITS(wall_flags_0(k,j,i-1),28,1) & |
|---|
| 3036 | + IBITS(wall_flags_0(k,j,i-1),29,1) & |
|---|
| 3037 | ) & |
|---|
| 3038 | ) * rho_air_zw(k) * ddx & |
|---|
| 3039 | + ( ( v_comp + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
|---|
| 3040 | - ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 3041 | * ( IBITS(wall_flags_0(k,j-1,i),30,1) & |
|---|
| 3042 | + IBITS(wall_flags_0(k,j-1,i),31,1) & |
|---|
| 3043 | + IBITS(wall_flags_00(k,j-1,i),0,1) & |
|---|
| 3044 | ) & |
|---|
| 3045 | ) * rho_air_zw(k) * ddy & |
|---|
| 3046 | + ( w_comp * rho_air(k+1) * ( ibit33 + ibit34 + ibit35 ) & |
|---|
| 3047 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 3048 | * ( IBITS(wall_flags_00(k-1,j,i),1,1) & |
|---|
| 3049 | + IBITS(wall_flags_00(k-1,j,i),2,1) & |
|---|
| 3050 | + IBITS(wall_flags_00(k-1,j,i),3,1) & |
|---|
| 3051 | ) & |
|---|
| 3052 | ) * ddzu(k+1) & |
|---|
| 3053 | ) * 0.5_wp |
|---|
| 3054 | |
|---|
| 3055 | |
|---|
| 3056 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3057 | ( flux_r(k) + diss_r(k) & |
|---|
| 3058 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 3059 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3060 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 3061 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 3062 | - ( flux_d + diss_d ) & |
|---|
| 3063 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3064 | ) + div * w(k,j,i) |
|---|
| 3065 | |
|---|
| 3066 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 3067 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 3068 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 3069 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 3070 | flux_d = flux_t(k) |
|---|
| 3071 | diss_d = diss_t(k) |
|---|
| 3072 | ! |
|---|
| 3073 | !-- Statistical Evaluation of w'w'. |
|---|
| 3074 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3075 | + ( flux_t(k) & |
|---|
| 3076 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3077 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 3078 | + diss_t(k) & |
|---|
| 3079 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3080 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 3081 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3082 | |
|---|
| 3083 | ENDDO |
|---|
| 3084 | |
|---|
| 3085 | DO k = nzb_max+1, nzt |
|---|
| 3086 | |
|---|
| 3087 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 3088 | flux_r(k) = u_comp * ( & |
|---|
| 3089 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 3090 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 3091 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3092 | |
|---|
| 3093 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 3094 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 3095 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 3096 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 3097 | |
|---|
| 3098 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 3099 | flux_n(k) = v_comp * ( & |
|---|
| 3100 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 3101 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 3102 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3103 | |
|---|
| 3104 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 3105 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 3106 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 3107 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 3108 | ! |
|---|
| 3109 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3110 | !-- subscripts will be exceeded. |
|---|
| 3111 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
|---|
| 3112 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
|---|
| 3113 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
|---|
| 3114 | |
|---|
| 3115 | k_ppp = k + 3 * ibit35 |
|---|
| 3116 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 3117 | k_mm = k - 2 * ibit35 |
|---|
| 3118 | |
|---|
| 3119 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 3120 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 3121 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3122 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3123 | + ibit33 * adv_mom_1 & |
|---|
| 3124 | ) * & |
|---|
| 3125 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 3126 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3127 | + ibit34 * adv_mom_3 & |
|---|
| 3128 | ) * & |
|---|
| 3129 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 3130 | + ( ibit35 * adv_mom_5 & |
|---|
| 3131 | ) * & |
|---|
| 3132 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 3133 | ) |
|---|
| 3134 | |
|---|
| 3135 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 3136 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3137 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 3138 | + ibit33 * adv_mom_1 & |
|---|
| 3139 | ) * & |
|---|
| 3140 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 3141 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 3142 | + ibit34 * adv_mom_3 & |
|---|
| 3143 | ) * & |
|---|
| 3144 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 3145 | + ( ibit35 * adv_mom_5 & |
|---|
| 3146 | ) * & |
|---|
| 3147 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 3148 | ) |
|---|
| 3149 | ! |
|---|
| 3150 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3151 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3152 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3153 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 3154 | * rho_air_zw(k) & |
|---|
| 3155 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 3156 | * rho_air_zw(k) & |
|---|
| 3157 | + ( w_comp * rho_air(k+1) - & |
|---|
| 3158 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 3159 | ) * ddzu(k+1) & |
|---|
| 3160 | ) * 0.5_wp |
|---|
| 3161 | |
|---|
| 3162 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3163 | ( flux_r(k) + diss_r(k) & |
|---|
| 3164 | - flux_l_w(k,j,tn) - diss_l_w(k,j,tn) ) * ddx & |
|---|
| 3165 | + ( flux_n(k) + diss_n(k) & |
|---|
| 3166 | - flux_s_w(k,tn) - diss_s_w(k,tn) ) * ddy & |
|---|
| 3167 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 3168 | - ( flux_d + diss_d ) & |
|---|
| 3169 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 3170 | ) + div * w(k,j,i) |
|---|
| 3171 | |
|---|
| 3172 | flux_l_w(k,j,tn) = flux_r(k) |
|---|
| 3173 | diss_l_w(k,j,tn) = diss_r(k) |
|---|
| 3174 | flux_s_w(k,tn) = flux_n(k) |
|---|
| 3175 | diss_s_w(k,tn) = diss_n(k) |
|---|
| 3176 | flux_d = flux_t(k) |
|---|
| 3177 | diss_d = diss_t(k) |
|---|
| 3178 | ! |
|---|
| 3179 | !-- Statistical Evaluation of w'w'. |
|---|
| 3180 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 3181 | + ( flux_t(k) & |
|---|
| 3182 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3183 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 3184 | + diss_t(k) & |
|---|
| 3185 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 3186 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 3187 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3188 | |
|---|
| 3189 | ENDDO |
|---|
| 3190 | |
|---|
| 3191 | |
|---|
| 3192 | END SUBROUTINE advec_w_ws_ij |
|---|
| 3193 | |
|---|
| 3194 | |
|---|
| 3195 | !------------------------------------------------------------------------------! |
|---|
| 3196 | ! Description: |
|---|
| 3197 | ! ------------ |
|---|
| 3198 | !> Scalar advection - Call for all grid points |
|---|
| 3199 | !------------------------------------------------------------------------------! |
|---|
| 3200 | SUBROUTINE advec_s_ws( sk, sk_char ) |
|---|
| 3201 | |
|---|
| 3202 | USE arrays_3d, & |
|---|
| 3203 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air, rho_air_zw |
|---|
| 3204 | |
|---|
| 3205 | USE constants, & |
|---|
| 3206 | ONLY: adv_sca_1, adv_sca_3, adv_sca_5 |
|---|
| 3207 | |
|---|
| 3208 | USE control_parameters, & |
|---|
| 3209 | ONLY: intermediate_timestep_count, monotonic_adjustment, u_gtrans,& |
|---|
| 3210 | v_gtrans |
|---|
| 3211 | |
|---|
| 3212 | USE grid_variables, & |
|---|
| 3213 | ONLY: ddx, ddy |
|---|
| 3214 | |
|---|
| 3215 | USE indices, & |
|---|
| 3216 | ONLY: nxl, nxlg, nxr, nxrg, nyn, nyng, nys, nysg, nzb, nzb_max, & |
|---|
| 3217 | nzt, wall_flags_0 |
|---|
| 3218 | |
|---|
| 3219 | USE kinds |
|---|
| 3220 | |
|---|
| 3221 | USE statistics, & |
|---|
| 3222 | ONLY: hom, sums_wspts_ws_l, sums_wsqs_ws_l, sums_wssas_ws_l, & |
|---|
| 3223 | sums_wsqrs_ws_l, sums_wsnrs_ws_l, sums_wsss_ws_l, & |
|---|
| 3224 | weight_substep |
|---|
| 3225 | |
|---|
| 3226 | IMPLICIT NONE |
|---|
| 3227 | |
|---|
| 3228 | CHARACTER (LEN = *), INTENT(IN) :: sk_char !< |
|---|
| 3229 | |
|---|
| 3230 | INTEGER(iwp) :: i !< |
|---|
| 3231 | INTEGER(iwp) :: ibit0 !< |
|---|
| 3232 | INTEGER(iwp) :: ibit1 !< |
|---|
| 3233 | INTEGER(iwp) :: ibit2 !< |
|---|
| 3234 | INTEGER(iwp) :: ibit3 !< |
|---|
| 3235 | INTEGER(iwp) :: ibit4 !< |
|---|
| 3236 | INTEGER(iwp) :: ibit5 !< |
|---|
| 3237 | INTEGER(iwp) :: ibit6 !< |
|---|
| 3238 | INTEGER(iwp) :: ibit7 !< |
|---|
| 3239 | INTEGER(iwp) :: ibit8 !< |
|---|
| 3240 | INTEGER(iwp) :: j !< |
|---|
| 3241 | INTEGER(iwp) :: k !< |
|---|
| 3242 | INTEGER(iwp) :: k_mm !< |
|---|
| 3243 | INTEGER(iwp) :: k_mmm !< |
|---|
| 3244 | INTEGER(iwp) :: k_pp !< |
|---|
| 3245 | INTEGER(iwp) :: k_ppp !< |
|---|
| 3246 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 3247 | |
|---|
| 3248 | #if defined( __nopointer ) |
|---|
| 3249 | REAL(wp), DIMENSION(nzb:nzt+1,nysg:nyng,nxlg:nxrg) :: sk !< |
|---|
| 3250 | #else |
|---|
| 3251 | REAL(wp), DIMENSION(:,:,:), POINTER :: sk !< |
|---|
| 3252 | #endif |
|---|
| 3253 | |
|---|
| 3254 | REAL(wp) :: diss_d !< |
|---|
| 3255 | REAL(wp) :: div !< |
|---|
| 3256 | REAL(wp) :: flux_d !< |
|---|
| 3257 | REAL(wp) :: fd_1 !< |
|---|
| 3258 | REAL(wp) :: fl_1 !< |
|---|
| 3259 | REAL(wp) :: fn_1 !< |
|---|
| 3260 | REAL(wp) :: fr_1 !< |
|---|
| 3261 | REAL(wp) :: fs_1 !< |
|---|
| 3262 | REAL(wp) :: ft_1 !< |
|---|
| 3263 | REAL(wp) :: phi_d !< |
|---|
| 3264 | REAL(wp) :: phi_l !< |
|---|
| 3265 | REAL(wp) :: phi_n !< |
|---|
| 3266 | REAL(wp) :: phi_r !< |
|---|
| 3267 | REAL(wp) :: phi_s !< |
|---|
| 3268 | REAL(wp) :: phi_t !< |
|---|
| 3269 | REAL(wp) :: rd !< |
|---|
| 3270 | REAL(wp) :: rl !< |
|---|
| 3271 | REAL(wp) :: rn !< |
|---|
| 3272 | REAL(wp) :: rr !< |
|---|
| 3273 | REAL(wp) :: rs !< |
|---|
| 3274 | REAL(wp) :: rt !< |
|---|
| 3275 | REAL(wp) :: u_comp !< |
|---|
| 3276 | REAL(wp) :: v_comp !< |
|---|
| 3277 | |
|---|
| 3278 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 3279 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 3280 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 3281 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 3282 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 3283 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 3284 | |
|---|
| 3285 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local !< |
|---|
| 3286 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local !< |
|---|
| 3287 | |
|---|
| 3288 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local !< |
|---|
| 3289 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local !< |
|---|
| 3290 | |
|---|
| 3291 | |
|---|
| 3292 | ! |
|---|
| 3293 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 3294 | i = nxl |
|---|
| 3295 | DO j = nys, nyn |
|---|
| 3296 | |
|---|
| 3297 | DO k = nzb+1, nzb_max |
|---|
| 3298 | |
|---|
| 3299 | ibit2 = IBITS(wall_flags_0(k,j,i-1),2,1) |
|---|
| 3300 | ibit1 = IBITS(wall_flags_0(k,j,i-1),1,1) |
|---|
| 3301 | ibit0 = IBITS(wall_flags_0(k,j,i-1),0,1) |
|---|
| 3302 | |
|---|
| 3303 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 3304 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 3305 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3306 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3307 | + ibit0 * adv_sca_1 & |
|---|
| 3308 | ) * & |
|---|
| 3309 | ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3310 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3311 | + ibit1 * adv_sca_3 & |
|---|
| 3312 | ) * & |
|---|
| 3313 | ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 3314 | + ( ibit2 * adv_sca_5 & |
|---|
| 3315 | ) * & |
|---|
| 3316 | ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 3317 | ) |
|---|
| 3318 | |
|---|
| 3319 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 3320 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3321 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3322 | + ibit0 * adv_sca_1 & |
|---|
| 3323 | ) * & |
|---|
| 3324 | ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3325 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3326 | + ibit1 * adv_sca_3 & |
|---|
| 3327 | ) * & |
|---|
| 3328 | ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 3329 | + ( ibit2 * adv_sca_5 & |
|---|
| 3330 | ) * & |
|---|
| 3331 | ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 3332 | ) |
|---|
| 3333 | |
|---|
| 3334 | ENDDO |
|---|
| 3335 | |
|---|
| 3336 | DO k = nzb_max+1, nzt |
|---|
| 3337 | |
|---|
| 3338 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 3339 | swap_flux_x_local(k,j) = u_comp * ( & |
|---|
| 3340 | 37.0_wp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3341 | - 8.0_wp * ( sk(k,j,i+1) + sk(k,j,i-2) ) & |
|---|
| 3342 | + ( sk(k,j,i+2) + sk(k,j,i-3) ) & |
|---|
| 3343 | ) * adv_sca_5 |
|---|
| 3344 | |
|---|
| 3345 | swap_diss_x_local(k,j) = -ABS( u_comp ) * ( & |
|---|
| 3346 | 10.0_wp * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3347 | - 5.0_wp * ( sk(k,j,i+1) - sk(k,j,i-2) ) & |
|---|
| 3348 | + ( sk(k,j,i+2) - sk(k,j,i-3) ) & |
|---|
| 3349 | ) * adv_sca_5 |
|---|
| 3350 | |
|---|
| 3351 | ENDDO |
|---|
| 3352 | |
|---|
| 3353 | ENDDO |
|---|
| 3354 | |
|---|
| 3355 | DO i = nxl, nxr |
|---|
| 3356 | |
|---|
| 3357 | j = nys |
|---|
| 3358 | DO k = nzb+1, nzb_max |
|---|
| 3359 | |
|---|
| 3360 | ibit5 = IBITS(wall_flags_0(k,j-1,i),5,1) |
|---|
| 3361 | ibit4 = IBITS(wall_flags_0(k,j-1,i),4,1) |
|---|
| 3362 | ibit3 = IBITS(wall_flags_0(k,j-1,i),3,1) |
|---|
| 3363 | |
|---|
| 3364 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 3365 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 3366 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3367 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3368 | + ibit3 * adv_sca_1 & |
|---|
| 3369 | ) * & |
|---|
| 3370 | ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3371 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3372 | + ibit4 * adv_sca_3 & |
|---|
| 3373 | ) * & |
|---|
| 3374 | ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 3375 | + ( ibit5 * adv_sca_5 & |
|---|
| 3376 | ) * & |
|---|
| 3377 | ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 3378 | ) |
|---|
| 3379 | |
|---|
| 3380 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 3381 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3382 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3383 | + ibit3 * adv_sca_1 & |
|---|
| 3384 | ) * & |
|---|
| 3385 | ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3386 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3387 | + ibit4 * adv_sca_3 & |
|---|
| 3388 | ) * & |
|---|
| 3389 | ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 3390 | + ( ibit5 * adv_sca_5 & |
|---|
| 3391 | ) * & |
|---|
| 3392 | ( sk(k,j+2,i) - sk(k,j-3,i) ) & |
|---|
| 3393 | ) |
|---|
| 3394 | |
|---|
| 3395 | ENDDO |
|---|
| 3396 | ! |
|---|
| 3397 | !-- Above to the top of the highest topography. No degradation necessary. |
|---|
| 3398 | DO k = nzb_max+1, nzt |
|---|
| 3399 | |
|---|
| 3400 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 3401 | swap_flux_y_local(k) = v_comp * ( & |
|---|
| 3402 | 37.0_wp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3403 | - 8.0_wp * ( sk(k,j+1,i) + sk(k,j-2,i) ) & |
|---|
| 3404 | + ( sk(k,j+2,i) + sk(k,j-3,i) ) & |
|---|
| 3405 | ) * adv_sca_5 |
|---|
| 3406 | swap_diss_y_local(k) = -ABS( v_comp ) * ( & |
|---|
| 3407 | 10.0_wp * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3408 | - 5.0_wp * ( sk(k,j+1,i) - sk(k,j-2,i) ) & |
|---|
| 3409 | + sk(k,j+2,i) - sk(k,j-3,i) & |
|---|
| 3410 | ) * adv_sca_5 |
|---|
| 3411 | |
|---|
| 3412 | ENDDO |
|---|
| 3413 | |
|---|
| 3414 | DO j = nys, nyn |
|---|
| 3415 | |
|---|
| 3416 | flux_t(0) = 0.0_wp |
|---|
| 3417 | diss_t(0) = 0.0_wp |
|---|
| 3418 | flux_d = 0.0_wp |
|---|
| 3419 | diss_d = 0.0_wp |
|---|
| 3420 | |
|---|
| 3421 | DO k = nzb+1, nzb_max |
|---|
| 3422 | |
|---|
| 3423 | ibit2 = IBITS(wall_flags_0(k,j,i),2,1) |
|---|
| 3424 | ibit1 = IBITS(wall_flags_0(k,j,i),1,1) |
|---|
| 3425 | ibit0 = IBITS(wall_flags_0(k,j,i),0,1) |
|---|
| 3426 | |
|---|
| 3427 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 3428 | flux_r(k) = u_comp * ( & |
|---|
| 3429 | ( 37.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3430 | + 7.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3431 | + ibit0 * adv_sca_1 & |
|---|
| 3432 | ) * & |
|---|
| 3433 | ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3434 | - ( 8.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3435 | + ibit1 * adv_sca_3 & |
|---|
| 3436 | ) * & |
|---|
| 3437 | ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 3438 | + ( ibit2 * adv_sca_5 & |
|---|
| 3439 | ) * & |
|---|
| 3440 | ( sk(k,j,i+3) + sk(k,j,i-2) ) & |
|---|
| 3441 | ) |
|---|
| 3442 | |
|---|
| 3443 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 3444 | ( 10.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3445 | + 3.0_wp * ibit1 * adv_sca_3 & |
|---|
| 3446 | + ibit0 * adv_sca_1 & |
|---|
| 3447 | ) * & |
|---|
| 3448 | ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3449 | - ( 5.0_wp * ibit2 * adv_sca_5 & |
|---|
| 3450 | + ibit1 * adv_sca_3 & |
|---|
| 3451 | ) * & |
|---|
| 3452 | ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 3453 | + ( ibit2 * adv_sca_5 & |
|---|
| 3454 | ) * & |
|---|
| 3455 | ( sk(k,j,i+3) - sk(k,j,i-2) ) & |
|---|
| 3456 | ) |
|---|
| 3457 | |
|---|
| 3458 | ibit5 = IBITS(wall_flags_0(k,j,i),5,1) |
|---|
| 3459 | ibit4 = IBITS(wall_flags_0(k,j,i),4,1) |
|---|
| 3460 | ibit3 = IBITS(wall_flags_0(k,j,i),3,1) |
|---|
| 3461 | |
|---|
| 3462 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 3463 | flux_n(k) = v_comp * ( & |
|---|
| 3464 | ( 37.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3465 | + 7.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3466 | + ibit3 * adv_sca_1 & |
|---|
| 3467 | ) * & |
|---|
| 3468 | ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3469 | - ( 8.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3470 | + ibit4 * adv_sca_3 & |
|---|
| 3471 | ) * & |
|---|
| 3472 | ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 3473 | + ( ibit5 * adv_sca_5 & |
|---|
| 3474 | ) * & |
|---|
| 3475 | ( sk(k,j+3,i) + sk(k,j-2,i) ) & |
|---|
| 3476 | ) |
|---|
| 3477 | |
|---|
| 3478 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 3479 | ( 10.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3480 | + 3.0_wp * ibit4 * adv_sca_3 & |
|---|
| 3481 | + ibit3 * adv_sca_1 & |
|---|
| 3482 | ) * & |
|---|
| 3483 | ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3484 | - ( 5.0_wp * ibit5 * adv_sca_5 & |
|---|
| 3485 | + ibit4 * adv_sca_3 & |
|---|
| 3486 | ) * & |
|---|
| 3487 | ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 3488 | + ( ibit5 * adv_sca_5 & |
|---|
| 3489 | ) * & |
|---|
| 3490 | ( sk(k,j+3,i) - sk(k,j-2,i) ) & |
|---|
| 3491 | ) |
|---|
| 3492 | ! |
|---|
| 3493 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3494 | !-- subscripts will be exceeded. |
|---|
| 3495 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 3496 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 3497 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 3498 | |
|---|
| 3499 | k_ppp = k + 3 * ibit8 |
|---|
| 3500 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 3501 | k_mm = k - 2 * ibit8 |
|---|
| 3502 | |
|---|
| 3503 | |
|---|
| 3504 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 3505 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3506 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3507 | + ibit6 * adv_sca_1 & |
|---|
| 3508 | ) * & |
|---|
| 3509 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3510 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3511 | + ibit7 * adv_sca_3 & |
|---|
| 3512 | ) * & |
|---|
| 3513 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 3514 | + ( ibit8 * adv_sca_5 & |
|---|
| 3515 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 3516 | ) |
|---|
| 3517 | |
|---|
| 3518 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 3519 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3520 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3521 | + ibit6 * adv_sca_1 & |
|---|
| 3522 | ) * & |
|---|
| 3523 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3524 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3525 | + ibit7 * adv_sca_3 & |
|---|
| 3526 | ) * & |
|---|
| 3527 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 3528 | + ( ibit8 * adv_sca_5 & |
|---|
| 3529 | ) * & |
|---|
| 3530 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 3531 | ) |
|---|
| 3532 | ! |
|---|
| 3533 | !-- Apply monotonic adjustment. |
|---|
| 3534 | IF ( monotonic_adjustment ) THEN |
|---|
| 3535 | ! |
|---|
| 3536 | !-- At first, calculate first order fluxes. |
|---|
| 3537 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 3538 | fl_1 = ( u_comp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3539 | -ABS( u_comp ) * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3540 | ) * adv_sca_1 |
|---|
| 3541 | |
|---|
| 3542 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 3543 | fr_1 = ( u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3544 | -ABS( u_comp ) * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3545 | ) * adv_sca_1 |
|---|
| 3546 | |
|---|
| 3547 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 3548 | fs_1 = ( v_comp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3549 | -ABS( v_comp ) * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3550 | ) * adv_sca_1 |
|---|
| 3551 | |
|---|
| 3552 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 3553 | fn_1 = ( v_comp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3554 | -ABS( v_comp ) * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3555 | ) * adv_sca_1 |
|---|
| 3556 | |
|---|
| 3557 | fd_1 = ( w(k-1,j,i) * ( sk(k,j,i) + sk(k-1,j,i) ) & |
|---|
| 3558 | -ABS( w(k-1,j,i) ) * ( sk(k,j,i) - sk(k-1,j,i) ) & |
|---|
| 3559 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 3560 | |
|---|
| 3561 | ft_1 = ( w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3562 | -ABS( w(k,j,i) ) * ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3563 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 3564 | ! |
|---|
| 3565 | !-- Calculate ratio of upwind gradients. Note, Min/Max is just |
|---|
| 3566 | !-- to avoid if statements. |
|---|
| 3567 | rl = ( MAX( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 3568 | ABS( ( sk(k,j,i-1) - sk(k,j,i-2) ) /& |
|---|
| 3569 | ( sk(k,j,i) - sk(k,j,i-1) + 1E-20_wp ) & |
|---|
| 3570 | ) + & |
|---|
| 3571 | MIN( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 3572 | ABS( ( sk(k,j,i) - sk(k,j,i+1) ) /& |
|---|
| 3573 | ( sk(k,j,i-1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3574 | ) & |
|---|
| 3575 | ) / ABS( u(k,j,i) - u_gtrans + 1E-20_wp ) |
|---|
| 3576 | |
|---|
| 3577 | rr = ( MAX( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 3578 | ABS( ( sk(k,j,i) - sk(k,j,i-1) ) /& |
|---|
| 3579 | ( sk(k,j,i+1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3580 | ) + & |
|---|
| 3581 | MIN( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 3582 | ABS( ( sk(k,j,i+1) - sk(k,j,i+2) ) /& |
|---|
| 3583 | ( sk(k,j,i) - sk(k,j,i+1) + 1E-20_wp ) & |
|---|
| 3584 | ) & |
|---|
| 3585 | ) / ABS( u(k,j,i+1) - u_gtrans + 1E-20_wp ) |
|---|
| 3586 | |
|---|
| 3587 | rs = ( MAX( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 3588 | ABS( ( sk(k,j-1,i) - sk(k,j-2,i) ) /& |
|---|
| 3589 | ( sk(k,j,i) - sk(k,j-1,i) + 1E-20_wp ) & |
|---|
| 3590 | ) + & |
|---|
| 3591 | MIN( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 3592 | ABS( ( sk(k,j,i) - sk(k,j+1,i) ) /& |
|---|
| 3593 | ( sk(k,j-1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3594 | ) & |
|---|
| 3595 | ) / ABS( v(k,j,i) - v_gtrans + 1E-20_wp ) |
|---|
| 3596 | |
|---|
| 3597 | rn = ( MAX( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 3598 | ABS( ( sk(k,j,i) - sk(k,j-1,i) ) /& |
|---|
| 3599 | ( sk(k,j+1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3600 | ) + & |
|---|
| 3601 | MIN( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 3602 | ABS( ( sk(k,j+1,i) - sk(k,j+2,i) ) /& |
|---|
| 3603 | ( sk(k,j,i) - sk(k,j+1,i) + 1E-20_wp ) & |
|---|
| 3604 | ) & |
|---|
| 3605 | ) / ABS( v(k,j+1,i) - v_gtrans + 1E-20_wp ) |
|---|
| 3606 | ! |
|---|
| 3607 | !-- Reuse k_mm and compute k_mmm for the vertical gradient ratios. |
|---|
| 3608 | !-- Note, for vertical advection below the third grid point above |
|---|
| 3609 | !-- surface ( or below the model top) rd and rt are set to 0, i.e. |
|---|
| 3610 | !-- use of first order scheme is enforced. |
|---|
| 3611 | k_mmm = k - 3 * ibit8 |
|---|
| 3612 | |
|---|
| 3613 | rd = ( MAX( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 3614 | ABS( ( sk(k_mm,j,i) - sk(k_mmm,j,i) ) / & |
|---|
| 3615 | ( sk(k-1,j,i) - sk(k_mm,j,i) + 1E-20_wp ) & |
|---|
| 3616 | ) + & |
|---|
| 3617 | MIN( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 3618 | ABS( ( sk(k-1,j,i) - sk(k,j,i) ) / & |
|---|
| 3619 | ( sk(k_mm,j,i) - sk(k-1,j,i) + 1E-20_wp ) & |
|---|
| 3620 | ) & |
|---|
| 3621 | ) * ibit8 / ABS( w(k-1,j,i) + 1E-20_wp ) |
|---|
| 3622 | |
|---|
| 3623 | rt = ( MAX( 0.0_wp, w(k,j,i) ) * & |
|---|
| 3624 | ABS( ( sk(k,j,i) - sk(k-1,j,i) ) / & |
|---|
| 3625 | ( sk(k+1,j,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3626 | ) + & |
|---|
| 3627 | MIN( 0.0_wp, w(k,j,i) ) * & |
|---|
| 3628 | ABS( ( sk(k+1,j,i) - sk(k_pp,j,i) ) / & |
|---|
| 3629 | ( sk(k,j,i) - sk(k+1,j,i) + 1E-20_wp ) & |
|---|
| 3630 | ) & |
|---|
| 3631 | ) * ibit8 / ABS( w(k,j,i) + 1E-20_wp ) |
|---|
| 3632 | ! |
|---|
| 3633 | !-- Calculate empirical limiter function (van Albada2 limiter). |
|---|
| 3634 | phi_l = MIN( 1.0_wp, ( 2.0_wp * ABS( rl ) ) / & |
|---|
| 3635 | ( rl**2 + 1.0_wp ) ) |
|---|
| 3636 | phi_r = MIN( 1.0_wp, ( 2.0_wp * ABS( rr ) ) / & |
|---|
| 3637 | ( rr**2 + 1.0_wp ) ) |
|---|
| 3638 | phi_s = MIN( 1.0_wp, ( 2.0_wp * ABS( rs ) ) / & |
|---|
| 3639 | ( rs**2 + 1.0_wp ) ) |
|---|
| 3640 | phi_n = MIN( 1.0_wp, ( 2.0_wp * ABS( rn ) ) / & |
|---|
| 3641 | ( rn**2 + 1.0_wp ) ) |
|---|
| 3642 | phi_d = MIN( 1.0_wp, ( 2.0_wp * ABS( rd ) ) / & |
|---|
| 3643 | ( rd**2 + 1.0_wp ) ) |
|---|
| 3644 | phi_t = MIN( 1.0_wp, ( 2.0_wp * ABS( rt ) ) / & |
|---|
| 3645 | ( rt**2 + 1.0_wp ) ) |
|---|
| 3646 | ! |
|---|
| 3647 | !-- Calculate the resulting monotone flux. |
|---|
| 3648 | swap_flux_x_local(k,j) = fl_1 - phi_l * & |
|---|
| 3649 | ( fl_1 - swap_flux_x_local(k,j) ) |
|---|
| 3650 | flux_r(k) = fr_1 - phi_r * & |
|---|
| 3651 | ( fr_1 - flux_r(k) ) |
|---|
| 3652 | swap_flux_y_local(k) = fs_1 - phi_s * & |
|---|
| 3653 | ( fs_1 - swap_flux_y_local(k) ) |
|---|
| 3654 | flux_n(k) = fn_1 - phi_n * & |
|---|
| 3655 | ( fn_1 - flux_n(k) ) |
|---|
| 3656 | flux_d = fd_1 - phi_d * & |
|---|
| 3657 | ( fd_1 - flux_d ) |
|---|
| 3658 | flux_t(k) = ft_1 - phi_t * & |
|---|
| 3659 | ( ft_1 - flux_t(k) ) |
|---|
| 3660 | ! |
|---|
| 3661 | !-- Moreover, modify dissipation flux according to the limiter. |
|---|
| 3662 | swap_diss_x_local(k,j) = swap_diss_x_local(k,j) * phi_l |
|---|
| 3663 | diss_r(k) = diss_r(k) * phi_r |
|---|
| 3664 | swap_diss_y_local(k) = swap_diss_y_local(k) * phi_s |
|---|
| 3665 | diss_n(k) = diss_n(k) * phi_n |
|---|
| 3666 | diss_d = diss_d * phi_d |
|---|
| 3667 | diss_t(k) = diss_t(k) * phi_t |
|---|
| 3668 | |
|---|
| 3669 | ENDIF |
|---|
| 3670 | ! |
|---|
| 3671 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3672 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 3673 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3674 | div = ( u(k,j,i+1) * ( ibit0 + ibit1 + ibit2 ) & |
|---|
| 3675 | - u(k,j,i) * ( IBITS(wall_flags_0(k,j,i-1),0,1) & |
|---|
| 3676 | + IBITS(wall_flags_0(k,j,i-1),1,1) & |
|---|
| 3677 | + IBITS(wall_flags_0(k,j,i-1),2,1) & |
|---|
| 3678 | ) & |
|---|
| 3679 | ) * rho_air(k) * ddx & |
|---|
| 3680 | + ( v(k,j+1,i) * ( ibit3 + ibit4 + ibit5 ) & |
|---|
| 3681 | - v(k,j,i) * ( IBITS(wall_flags_0(k,j-1,i),3,1) & |
|---|
| 3682 | + IBITS(wall_flags_0(k,j-1,i),4,1) & |
|---|
| 3683 | + IBITS(wall_flags_0(k,j-1,i),5,1) & |
|---|
| 3684 | ) & |
|---|
| 3685 | ) * rho_air(k) * ddy & |
|---|
| 3686 | + ( w(k,j,i) * rho_air_zw(k) * & |
|---|
| 3687 | ( ibit6 + ibit7 + ibit8 ) & |
|---|
| 3688 | - w(k-1,j,i) * rho_air_zw(k-1) * & |
|---|
| 3689 | ( IBITS(wall_flags_0(k-1,j,i),6,1) & |
|---|
| 3690 | + IBITS(wall_flags_0(k-1,j,i),7,1) & |
|---|
| 3691 | + IBITS(wall_flags_0(k-1,j,i),8,1) & |
|---|
| 3692 | ) & |
|---|
| 3693 | ) * ddzw(k) |
|---|
| 3694 | |
|---|
| 3695 | |
|---|
| 3696 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3697 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 3698 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 3699 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 3700 | swap_diss_y_local(k) ) * ddy & |
|---|
| 3701 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 3702 | ( flux_d + diss_d ) & |
|---|
| 3703 | ) * drho_air(k) * ddzw(k) & |
|---|
| 3704 | ) + sk(k,j,i) * div |
|---|
| 3705 | |
|---|
| 3706 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 3707 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 3708 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 3709 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 3710 | flux_d = flux_t(k) |
|---|
| 3711 | diss_d = diss_t(k) |
|---|
| 3712 | |
|---|
| 3713 | ENDDO |
|---|
| 3714 | |
|---|
| 3715 | DO k = nzb_max+1, nzt |
|---|
| 3716 | |
|---|
| 3717 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 3718 | flux_r(k) = u_comp * ( & |
|---|
| 3719 | 37.0_wp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3720 | - 8.0_wp * ( sk(k,j,i+2) + sk(k,j,i-1) ) & |
|---|
| 3721 | + ( sk(k,j,i+3) + sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 3722 | diss_r(k) = -ABS( u_comp ) * ( & |
|---|
| 3723 | 10.0_wp * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3724 | - 5.0_wp * ( sk(k,j,i+2) - sk(k,j,i-1) ) & |
|---|
| 3725 | + ( sk(k,j,i+3) - sk(k,j,i-2) ) ) * adv_sca_5 |
|---|
| 3726 | |
|---|
| 3727 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 3728 | flux_n(k) = v_comp * ( & |
|---|
| 3729 | 37.0_wp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3730 | - 8.0_wp * ( sk(k,j+2,i) + sk(k,j-1,i) ) & |
|---|
| 3731 | + ( sk(k,j+3,i) + sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 3732 | diss_n(k) = -ABS( v_comp ) * ( & |
|---|
| 3733 | 10.0_wp * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3734 | - 5.0_wp * ( sk(k,j+2,i) - sk(k,j-1,i) ) & |
|---|
| 3735 | + ( sk(k,j+3,i) - sk(k,j-2,i) ) ) * adv_sca_5 |
|---|
| 3736 | ! |
|---|
| 3737 | !-- k index has to be modified near bottom and top, else array |
|---|
| 3738 | !-- subscripts will be exceeded. |
|---|
| 3739 | ibit8 = IBITS(wall_flags_0(k,j,i),8,1) |
|---|
| 3740 | ibit7 = IBITS(wall_flags_0(k,j,i),7,1) |
|---|
| 3741 | ibit6 = IBITS(wall_flags_0(k,j,i),6,1) |
|---|
| 3742 | |
|---|
| 3743 | k_ppp = k + 3 * ibit8 |
|---|
| 3744 | k_pp = k + 2 * ( 1 - ibit6 ) |
|---|
| 3745 | k_mm = k - 2 * ibit8 |
|---|
| 3746 | |
|---|
| 3747 | |
|---|
| 3748 | flux_t(k) = w(k,j,i) * rho_air_zw(k) * ( & |
|---|
| 3749 | ( 37.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3750 | + 7.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3751 | + ibit6 * adv_sca_1 & |
|---|
| 3752 | ) * & |
|---|
| 3753 | ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3754 | - ( 8.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3755 | + ibit7 * adv_sca_3 & |
|---|
| 3756 | ) * & |
|---|
| 3757 | ( sk(k_pp,j,i) + sk(k-1,j,i) ) & |
|---|
| 3758 | + ( ibit8 * adv_sca_5 & |
|---|
| 3759 | ) * ( sk(k_ppp,j,i)+ sk(k_mm,j,i) ) & |
|---|
| 3760 | ) |
|---|
| 3761 | |
|---|
| 3762 | diss_t(k) = -ABS( w(k,j,i) ) * rho_air_zw(k) * ( & |
|---|
| 3763 | ( 10.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3764 | + 3.0_wp * ibit7 * adv_sca_3 & |
|---|
| 3765 | + ibit6 * adv_sca_1 & |
|---|
| 3766 | ) * & |
|---|
| 3767 | ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3768 | - ( 5.0_wp * ibit8 * adv_sca_5 & |
|---|
| 3769 | + ibit7 * adv_sca_3 & |
|---|
| 3770 | ) * & |
|---|
| 3771 | ( sk(k_pp,j,i) - sk(k-1,j,i) ) & |
|---|
| 3772 | + ( ibit8 * adv_sca_5 & |
|---|
| 3773 | ) * & |
|---|
| 3774 | ( sk(k_ppp,j,i) - sk(k_mm,j,i) ) & |
|---|
| 3775 | ) |
|---|
| 3776 | ! |
|---|
| 3777 | !-- Apply monotonic adjustment. |
|---|
| 3778 | IF ( monotonic_adjustment ) THEN |
|---|
| 3779 | ! |
|---|
| 3780 | !-- At first, calculate first order fluxes. |
|---|
| 3781 | u_comp = u(k,j,i) - u_gtrans |
|---|
| 3782 | fl_1 = ( u_comp * ( sk(k,j,i) + sk(k,j,i-1) ) & |
|---|
| 3783 | -ABS( u_comp ) * ( sk(k,j,i) - sk(k,j,i-1) ) & |
|---|
| 3784 | ) * adv_sca_1 |
|---|
| 3785 | |
|---|
| 3786 | u_comp = u(k,j,i+1) - u_gtrans |
|---|
| 3787 | fr_1 = ( u_comp * ( sk(k,j,i+1) + sk(k,j,i) ) & |
|---|
| 3788 | -ABS( u_comp ) * ( sk(k,j,i+1) - sk(k,j,i) ) & |
|---|
| 3789 | ) * adv_sca_1 |
|---|
| 3790 | |
|---|
| 3791 | v_comp = v(k,j,i) - v_gtrans |
|---|
| 3792 | fs_1 = ( v_comp * ( sk(k,j,i) + sk(k,j-1,i) ) & |
|---|
| 3793 | -ABS( v_comp ) * ( sk(k,j,i) - sk(k,j-1,i) ) & |
|---|
| 3794 | ) * adv_sca_1 |
|---|
| 3795 | |
|---|
| 3796 | v_comp = v(k,j+1,i) - v_gtrans |
|---|
| 3797 | fn_1 = ( v_comp * ( sk(k,j+1,i) + sk(k,j,i) ) & |
|---|
| 3798 | -ABS( v_comp ) * ( sk(k,j+1,i) - sk(k,j,i) ) & |
|---|
| 3799 | ) * adv_sca_1 |
|---|
| 3800 | |
|---|
| 3801 | fd_1 = ( w(k-1,j,i) * ( sk(k,j,i) + sk(k-1,j,i) ) & |
|---|
| 3802 | -ABS( w(k-1,j,i) ) * ( sk(k,j,i) - sk(k-1,j,i) ) & |
|---|
| 3803 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 3804 | |
|---|
| 3805 | ft_1 = ( w(k,j,i) * ( sk(k+1,j,i) + sk(k,j,i) ) & |
|---|
| 3806 | -ABS( w(k,j,i) ) * ( sk(k+1,j,i) - sk(k,j,i) ) & |
|---|
| 3807 | ) * adv_sca_1 * rho_air_zw(k) |
|---|
| 3808 | ! |
|---|
| 3809 | !-- Calculate ratio of upwind gradients. Note, Min/Max is just |
|---|
| 3810 | !-- to avoid if statements. |
|---|
| 3811 | rl = ( MAX( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 3812 | ABS( ( sk(k,j,i-1) - sk(k,j,i-2) ) /& |
|---|
| 3813 | ( sk(k,j,i) - sk(k,j,i-1) + 1E-20_wp ) & |
|---|
| 3814 | ) + & |
|---|
| 3815 | MIN( 0.0_wp, u(k,j,i) - u_gtrans ) * & |
|---|
| 3816 | ABS( ( sk(k,j,i) - sk(k,j,i+1) ) /& |
|---|
| 3817 | ( sk(k,j,i-1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3818 | ) & |
|---|
| 3819 | ) / ABS( u(k,j,i) - u_gtrans + 1E-20_wp ) |
|---|
| 3820 | |
|---|
| 3821 | rr = ( MAX( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 3822 | ABS( ( sk(k,j,i) - sk(k,j,i-1) ) /& |
|---|
| 3823 | ( sk(k,j,i+1) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3824 | ) + & |
|---|
| 3825 | MIN( 0.0_wp, u(k,j,i+1) - u_gtrans ) * & |
|---|
| 3826 | ABS( ( sk(k,j,i+1) - sk(k,j,i+2) ) /& |
|---|
| 3827 | ( sk(k,j,i) - sk(k,j,i+1) + 1E-20_wp ) & |
|---|
| 3828 | ) & |
|---|
| 3829 | ) / ABS( u(k,j,i+1) - u_gtrans + 1E-20_wp ) |
|---|
| 3830 | |
|---|
| 3831 | rs = ( MAX( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 3832 | ABS( ( sk(k,j-1,i) - sk(k,j-2,i) ) /& |
|---|
| 3833 | ( sk(k,j,i) - sk(k,j-1,i) + 1E-20_wp ) & |
|---|
| 3834 | ) + & |
|---|
| 3835 | MIN( 0.0_wp, v(k,j,i) - v_gtrans ) * & |
|---|
| 3836 | ABS( ( sk(k,j,i) - sk(k,j+1,i) ) /& |
|---|
| 3837 | ( sk(k,j-1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3838 | ) & |
|---|
| 3839 | ) / ABS( v(k,j,i) - v_gtrans + 1E-20_wp ) |
|---|
| 3840 | |
|---|
| 3841 | rn = ( MAX( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 3842 | ABS( ( sk(k,j,i) - sk(k,j-1,i) ) /& |
|---|
| 3843 | ( sk(k,j+1,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3844 | ) + & |
|---|
| 3845 | MIN( 0.0_wp, v(k,j+1,i) - v_gtrans ) * & |
|---|
| 3846 | ABS( ( sk(k,j+1,i) - sk(k,j+2,i) ) /& |
|---|
| 3847 | ( sk(k,j,i) - sk(k,j+1,i) + 1E-20_wp ) & |
|---|
| 3848 | ) & |
|---|
| 3849 | ) / ABS( v(k,j+1,i) - v_gtrans + 1E-20_wp ) |
|---|
| 3850 | ! |
|---|
| 3851 | !-- Reuse k_mm and compute k_mmm for the vertical gradient ratios. |
|---|
| 3852 | !-- Note, for vertical advection below the third grid point above |
|---|
| 3853 | !-- surface ( or below the model top) rd and rt are set to 0, i.e. |
|---|
| 3854 | !-- use of first order scheme is enforced. |
|---|
| 3855 | k_mmm = k - 3 * ibit8 |
|---|
| 3856 | |
|---|
| 3857 | rd = ( MAX( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 3858 | ABS( ( sk(k_mm,j,i) - sk(k_mmm,j,i) ) / & |
|---|
| 3859 | ( sk(k-1,j,i) - sk(k_mm,j,i) + 1E-20_wp ) & |
|---|
| 3860 | ) + & |
|---|
| 3861 | MIN( 0.0_wp, w(k-1,j,i) ) * & |
|---|
| 3862 | ABS( ( sk(k-1,j,i) - sk(k,j,i) ) / & |
|---|
| 3863 | ( sk(k_mm,j,i) - sk(k-1,j,i) + 1E-20_wp ) & |
|---|
| 3864 | ) & |
|---|
| 3865 | ) * ibit8 / ABS( w(k-1,j,i) + 1E-20_wp ) |
|---|
| 3866 | |
|---|
| 3867 | rt = ( MAX( 0.0_wp, w(k,j,i) ) * & |
|---|
| 3868 | ABS( ( sk(k,j,i) - sk(k-1,j,i) ) / & |
|---|
| 3869 | ( sk(k+1,j,i) - sk(k,j,i) + 1E-20_wp ) & |
|---|
| 3870 | ) + & |
|---|
| 3871 | MIN( 0.0_wp, w(k,j,i) ) * & |
|---|
| 3872 | ABS( ( sk(k+1,j,i) - sk(k_pp,j,i) ) / & |
|---|
| 3873 | ( sk(k,j,i) - sk(k+1,j,i) + 1E-20_wp ) & |
|---|
| 3874 | ) & |
|---|
| 3875 | ) * ibit8 / ABS( w(k,j,i) + 1E-20_wp ) |
|---|
| 3876 | ! |
|---|
| 3877 | !-- Calculate empirical limiter function (van Albada2 limiter). |
|---|
| 3878 | phi_l = MIN( 1.0_wp, ( 2.0_wp * ABS( rl ) ) / & |
|---|
| 3879 | ( rl**2 + 1.0_wp ) ) |
|---|
| 3880 | phi_r = MIN( 1.0_wp, ( 2.0_wp * ABS( rr ) ) / & |
|---|
| 3881 | ( rr**2 + 1.0_wp ) ) |
|---|
| 3882 | phi_s = MIN( 1.0_wp, ( 2.0_wp * ABS( rs ) ) / & |
|---|
| 3883 | ( rs**2 + 1.0_wp ) ) |
|---|
| 3884 | phi_n = MIN( 1.0_wp, ( 2.0_wp * ABS( rn ) ) / & |
|---|
| 3885 | ( rn**2 + 1.0_wp ) ) |
|---|
| 3886 | phi_d = MIN( 1.0_wp, ( 2.0_wp * ABS( rd ) ) / & |
|---|
| 3887 | ( rd**2 + 1.0_wp ) ) |
|---|
| 3888 | phi_t = MIN( 1.0_wp, ( 2.0_wp * ABS( rt ) ) / & |
|---|
| 3889 | ( rt**2 + 1.0_wp ) ) |
|---|
| 3890 | ! |
|---|
| 3891 | !-- Calculate the resulting monotone flux. |
|---|
| 3892 | swap_flux_x_local(k,j) = fl_1 - phi_l * & |
|---|
| 3893 | ( fl_1 - swap_flux_x_local(k,j) ) |
|---|
| 3894 | flux_r(k) = fr_1 - phi_r * & |
|---|
| 3895 | ( fr_1 - flux_r(k) ) |
|---|
| 3896 | swap_flux_y_local(k) = fs_1 - phi_s * & |
|---|
| 3897 | ( fs_1 - swap_flux_y_local(k) ) |
|---|
| 3898 | flux_n(k) = fn_1 - phi_n * & |
|---|
| 3899 | ( fn_1 - flux_n(k) ) |
|---|
| 3900 | flux_d = fd_1 - phi_d * & |
|---|
| 3901 | ( fd_1 - flux_d ) |
|---|
| 3902 | flux_t(k) = ft_1 - phi_t * & |
|---|
| 3903 | ( ft_1 - flux_t(k) ) |
|---|
| 3904 | ! |
|---|
| 3905 | !-- Moreover, modify dissipation flux according to the limiter. |
|---|
| 3906 | swap_diss_x_local(k,j) = swap_diss_x_local(k,j) * phi_l |
|---|
| 3907 | diss_r(k) = diss_r(k) * phi_r |
|---|
| 3908 | swap_diss_y_local(k) = swap_diss_y_local(k) * phi_s |
|---|
| 3909 | diss_n(k) = diss_n(k) * phi_n |
|---|
| 3910 | diss_d = diss_d * phi_d |
|---|
| 3911 | diss_t(k) = diss_t(k) * phi_t |
|---|
| 3912 | |
|---|
| 3913 | ENDIF |
|---|
| 3914 | ! |
|---|
| 3915 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 3916 | !-- correction is needed to overcome numerical instabilities introduced |
|---|
| 3917 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 3918 | div = ( u(k,j,i+1) - u(k,j,i) ) * rho_air(k) * ddx & |
|---|
| 3919 | + ( v(k,j+1,i) - v(k,j,i) ) * rho_air(k) * ddy & |
|---|
| 3920 | + ( w(k,j,i) * rho_air_zw(k) - & |
|---|
| 3921 | w(k-1,j,i) * rho_air_zw(k-1) ) * ddzw(k) |
|---|
| 3922 | |
|---|
| 3923 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 3924 | ( flux_r(k) + diss_r(k) - swap_flux_x_local(k,j) - & |
|---|
| 3925 | swap_diss_x_local(k,j) ) * ddx & |
|---|
| 3926 | + ( flux_n(k) + diss_n(k) - swap_flux_y_local(k) - & |
|---|
| 3927 | swap_diss_y_local(k) ) * ddy & |
|---|
| 3928 | + ( ( flux_t(k) + diss_t(k) ) - & |
|---|
| 3929 | ( flux_d + diss_d ) & |
|---|
| 3930 | ) * drho_air(k) * ddzw(k) & |
|---|
| 3931 | ) + sk(k,j,i) * div |
|---|
| 3932 | |
|---|
| 3933 | swap_flux_y_local(k) = flux_n(k) |
|---|
| 3934 | swap_diss_y_local(k) = diss_n(k) |
|---|
| 3935 | swap_flux_x_local(k,j) = flux_r(k) |
|---|
| 3936 | swap_diss_x_local(k,j) = diss_r(k) |
|---|
| 3937 | flux_d = flux_t(k) |
|---|
| 3938 | diss_d = diss_t(k) |
|---|
| 3939 | |
|---|
| 3940 | ENDDO |
|---|
| 3941 | ! |
|---|
| 3942 | !-- Evaluation of statistics. |
|---|
| 3943 | SELECT CASE ( sk_char ) |
|---|
| 3944 | |
|---|
| 3945 | CASE ( 'pt' ) |
|---|
| 3946 | DO k = nzb, nzt |
|---|
| 3947 | sums_wspts_ws_l(k,tn) = sums_wspts_ws_l(k,tn) & |
|---|
| 3948 | + ( flux_t(k) & |
|---|
| 3949 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3950 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3951 | + diss_t(k) & |
|---|
| 3952 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3953 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3954 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3955 | ENDDO |
|---|
| 3956 | CASE ( 'sa' ) |
|---|
| 3957 | DO k = nzb, nzt |
|---|
| 3958 | sums_wssas_ws_l(k,tn) = sums_wssas_ws_l(k,tn) & |
|---|
| 3959 | + ( flux_t(k) & |
|---|
| 3960 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3961 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3962 | + diss_t(k) & |
|---|
| 3963 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3964 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3965 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3966 | ENDDO |
|---|
| 3967 | CASE ( 'q' ) |
|---|
| 3968 | DO k = nzb, nzt |
|---|
| 3969 | sums_wsqs_ws_l(k,tn) = sums_wsqs_ws_l(k,tn) & |
|---|
| 3970 | + ( flux_t(k) & |
|---|
| 3971 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3972 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3973 | + diss_t(k) & |
|---|
| 3974 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3975 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3976 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3977 | ENDDO |
|---|
| 3978 | CASE ( 'qr' ) |
|---|
| 3979 | DO k = nzb, nzt |
|---|
| 3980 | sums_wsqrs_ws_l(k,tn) = sums_wsqrs_ws_l(k,tn) & |
|---|
| 3981 | + ( flux_t(k) & |
|---|
| 3982 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3983 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3984 | + diss_t(k) & |
|---|
| 3985 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3986 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3987 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3988 | ENDDO |
|---|
| 3989 | CASE ( 'nr' ) |
|---|
| 3990 | DO k = nzb, nzt |
|---|
| 3991 | sums_wsnrs_ws_l(k,tn) = sums_wsnrs_ws_l(k,tn) & |
|---|
| 3992 | + ( flux_t(k) & |
|---|
| 3993 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 3994 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3995 | + diss_t(k) & |
|---|
| 3996 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 3997 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 3998 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 3999 | ENDDO |
|---|
| 4000 | CASE ( 's' ) |
|---|
| 4001 | DO k = nzb, nzt |
|---|
| 4002 | sums_wsss_ws_l(k,tn) = sums_wsss_ws_l(k,tn) & |
|---|
| 4003 | + ( flux_t(k) & |
|---|
| 4004 | / ( w(k,j,i) + SIGN( 1.0E-20_wp, w(k,j,i) ) ) & |
|---|
| 4005 | * ( w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 4006 | + diss_t(k) & |
|---|
| 4007 | / ( ABS(w(k,j,i)) + 1.0E-20_wp ) & |
|---|
| 4008 | * ABS(w(k,j,i) - hom(k,1,3,0) ) & |
|---|
| 4009 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4010 | ENDDO |
|---|
| 4011 | |
|---|
| 4012 | |
|---|
| 4013 | END SELECT |
|---|
| 4014 | |
|---|
| 4015 | ENDDO |
|---|
| 4016 | ENDDO |
|---|
| 4017 | |
|---|
| 4018 | END SUBROUTINE advec_s_ws |
|---|
| 4019 | |
|---|
| 4020 | |
|---|
| 4021 | |
|---|
| 4022 | !------------------------------------------------------------------------------! |
|---|
| 4023 | ! Description: |
|---|
| 4024 | ! ------------ |
|---|
| 4025 | !> Advection of u - Call for all grid points |
|---|
| 4026 | !------------------------------------------------------------------------------! |
|---|
| 4027 | SUBROUTINE advec_u_ws |
|---|
| 4028 | |
|---|
| 4029 | USE arrays_3d, & |
|---|
| 4030 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air, rho_air_zw |
|---|
| 4031 | |
|---|
| 4032 | USE constants, & |
|---|
| 4033 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 4034 | |
|---|
| 4035 | USE control_parameters, & |
|---|
| 4036 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 4037 | |
|---|
| 4038 | USE grid_variables, & |
|---|
| 4039 | ONLY: ddx, ddy |
|---|
| 4040 | |
|---|
| 4041 | USE indices, & |
|---|
| 4042 | ONLY: nxl, nxlu, nxr, nyn, nys, nzb, nzb_max, nzt, wall_flags_0 |
|---|
| 4043 | |
|---|
| 4044 | USE kinds |
|---|
| 4045 | |
|---|
| 4046 | USE statistics, & |
|---|
| 4047 | ONLY: hom, sums_us2_ws_l, sums_wsus_ws_l, weight_substep |
|---|
| 4048 | |
|---|
| 4049 | IMPLICIT NONE |
|---|
| 4050 | |
|---|
| 4051 | INTEGER(iwp) :: i !< |
|---|
| 4052 | INTEGER(iwp) :: ibit9 !< |
|---|
| 4053 | INTEGER(iwp) :: ibit10 !< |
|---|
| 4054 | INTEGER(iwp) :: ibit11 !< |
|---|
| 4055 | INTEGER(iwp) :: ibit12 !< |
|---|
| 4056 | INTEGER(iwp) :: ibit13 !< |
|---|
| 4057 | INTEGER(iwp) :: ibit14 !< |
|---|
| 4058 | INTEGER(iwp) :: ibit15 !< |
|---|
| 4059 | INTEGER(iwp) :: ibit16 !< |
|---|
| 4060 | INTEGER(iwp) :: ibit17 !< |
|---|
| 4061 | INTEGER(iwp) :: j !< |
|---|
| 4062 | INTEGER(iwp) :: k !< |
|---|
| 4063 | INTEGER(iwp) :: k_mm !< |
|---|
| 4064 | INTEGER(iwp) :: k_pp !< |
|---|
| 4065 | INTEGER(iwp) :: k_ppp !< |
|---|
| 4066 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 4067 | |
|---|
| 4068 | REAL(wp) :: diss_d !< |
|---|
| 4069 | REAL(wp) :: div !< |
|---|
| 4070 | REAL(wp) :: flux_d !< |
|---|
| 4071 | REAL(wp) :: gu !< |
|---|
| 4072 | REAL(wp) :: gv !< |
|---|
| 4073 | REAL(wp) :: v_comp !< |
|---|
| 4074 | REAL(wp) :: w_comp !< |
|---|
| 4075 | |
|---|
| 4076 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_u !< |
|---|
| 4077 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_u !< |
|---|
| 4078 | |
|---|
| 4079 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_u !< |
|---|
| 4080 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_u !< |
|---|
| 4081 | |
|---|
| 4082 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 4083 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 4084 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 4085 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 4086 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 4087 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 4088 | REAL(wp), DIMENSION(nzb:nzt) :: u_comp !< |
|---|
| 4089 | |
|---|
| 4090 | gu = 2.0_wp * u_gtrans |
|---|
| 4091 | gv = 2.0_wp * v_gtrans |
|---|
| 4092 | |
|---|
| 4093 | ! |
|---|
| 4094 | !-- Compute the fluxes for the whole left boundary of the processor domain. |
|---|
| 4095 | i = nxlu |
|---|
| 4096 | DO j = nys, nyn |
|---|
| 4097 | DO k = nzb+1, nzb_max |
|---|
| 4098 | |
|---|
| 4099 | ibit11 = IBITS(wall_flags_0(k,j,i-1),11,1) |
|---|
| 4100 | ibit10 = IBITS(wall_flags_0(k,j,i-1),10,1) |
|---|
| 4101 | ibit9 = IBITS(wall_flags_0(k,j,i-1),9,1) |
|---|
| 4102 | |
|---|
| 4103 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 4104 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 4105 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4106 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 4107 | + ibit9 * adv_mom_1 & |
|---|
| 4108 | ) * & |
|---|
| 4109 | ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 4110 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4111 | + ibit10 * adv_mom_3 & |
|---|
| 4112 | ) * & |
|---|
| 4113 | ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 4114 | + ( ibit11 * adv_mom_5 & |
|---|
| 4115 | ) * & |
|---|
| 4116 | ( u(k,j,i+2) + u(k,j,i-3) ) & |
|---|
| 4117 | ) |
|---|
| 4118 | |
|---|
| 4119 | swap_diss_x_local_u(k,j) = - ABS( u_comp(k) ) * ( & |
|---|
| 4120 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4121 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 4122 | + ibit9 * adv_mom_1 & |
|---|
| 4123 | ) * & |
|---|
| 4124 | ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 4125 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4126 | + ibit10 * adv_mom_3 & |
|---|
| 4127 | ) * & |
|---|
| 4128 | ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 4129 | + ( ibit11 * adv_mom_5 & |
|---|
| 4130 | ) * & |
|---|
| 4131 | ( u(k,j,i+2) - u(k,j,i-3) ) & |
|---|
| 4132 | ) |
|---|
| 4133 | |
|---|
| 4134 | ENDDO |
|---|
| 4135 | |
|---|
| 4136 | DO k = nzb_max+1, nzt |
|---|
| 4137 | |
|---|
| 4138 | u_comp(k) = u(k,j,i) + u(k,j,i-1) - gu |
|---|
| 4139 | swap_flux_x_local_u(k,j) = u_comp(k) * ( & |
|---|
| 4140 | 37.0_wp * ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 4141 | - 8.0_wp * ( u(k,j,i+1) + u(k,j,i-2) ) & |
|---|
| 4142 | + ( u(k,j,i+2) + u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4143 | swap_diss_x_local_u(k,j) = - ABS(u_comp(k)) * ( & |
|---|
| 4144 | 10.0_wp * ( u(k,j,i) - u(k,j,i-1) ) & |
|---|
| 4145 | - 5.0_wp * ( u(k,j,i+1) - u(k,j,i-2) ) & |
|---|
| 4146 | + ( u(k,j,i+2) - u(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4147 | |
|---|
| 4148 | ENDDO |
|---|
| 4149 | ENDDO |
|---|
| 4150 | |
|---|
| 4151 | DO i = nxlu, nxr |
|---|
| 4152 | ! |
|---|
| 4153 | !-- The following loop computes the fluxes for the south boundary points |
|---|
| 4154 | j = nys |
|---|
| 4155 | DO k = nzb+1, nzb_max |
|---|
| 4156 | |
|---|
| 4157 | ibit14 = IBITS(wall_flags_0(k,j-1,i),14,1) |
|---|
| 4158 | ibit13 = IBITS(wall_flags_0(k,j-1,i),13,1) |
|---|
| 4159 | ibit12 = IBITS(wall_flags_0(k,j-1,i),12,1) |
|---|
| 4160 | |
|---|
| 4161 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 4162 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 4163 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4164 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4165 | + ibit12 * adv_mom_1 & |
|---|
| 4166 | ) * & |
|---|
| 4167 | ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 4168 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4169 | + ibit13 * adv_mom_3 & |
|---|
| 4170 | ) * & |
|---|
| 4171 | ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 4172 | + ( ibit14 * adv_mom_5 & |
|---|
| 4173 | ) * & |
|---|
| 4174 | ( u(k,j+2,i) + u(k,j-3,i) ) & |
|---|
| 4175 | ) |
|---|
| 4176 | |
|---|
| 4177 | swap_diss_y_local_u(k) = - ABS ( v_comp ) * ( & |
|---|
| 4178 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4179 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4180 | + ibit12 * adv_mom_1 & |
|---|
| 4181 | ) * & |
|---|
| 4182 | ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 4183 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4184 | + ibit13 * adv_mom_3 & |
|---|
| 4185 | ) * & |
|---|
| 4186 | ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 4187 | + ( ibit14 * adv_mom_5 & |
|---|
| 4188 | ) * & |
|---|
| 4189 | ( u(k,j+2,i) - u(k,j-3,i) ) & |
|---|
| 4190 | ) |
|---|
| 4191 | |
|---|
| 4192 | ENDDO |
|---|
| 4193 | |
|---|
| 4194 | DO k = nzb_max+1, nzt |
|---|
| 4195 | |
|---|
| 4196 | v_comp = v(k,j,i) + v(k,j,i-1) - gv |
|---|
| 4197 | swap_flux_y_local_u(k) = v_comp * ( & |
|---|
| 4198 | 37.0_wp * ( u(k,j,i) + u(k,j-1,i) ) & |
|---|
| 4199 | - 8.0_wp * ( u(k,j+1,i) + u(k,j-2,i) ) & |
|---|
| 4200 | + ( u(k,j+2,i) + u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4201 | swap_diss_y_local_u(k) = - ABS(v_comp) * ( & |
|---|
| 4202 | 10.0_wp * ( u(k,j,i) - u(k,j-1,i) ) & |
|---|
| 4203 | - 5.0_wp * ( u(k,j+1,i) - u(k,j-2,i) ) & |
|---|
| 4204 | + ( u(k,j+2,i) - u(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4205 | |
|---|
| 4206 | ENDDO |
|---|
| 4207 | ! |
|---|
| 4208 | !-- Computation of interior fluxes and tendency terms |
|---|
| 4209 | DO j = nys, nyn |
|---|
| 4210 | |
|---|
| 4211 | flux_t(0) = 0.0_wp |
|---|
| 4212 | diss_t(0) = 0.0_wp |
|---|
| 4213 | flux_d = 0.0_wp |
|---|
| 4214 | diss_d = 0.0_wp |
|---|
| 4215 | |
|---|
| 4216 | DO k = nzb+1, nzb_max |
|---|
| 4217 | |
|---|
| 4218 | ibit11 = IBITS(wall_flags_0(k,j,i),11,1) |
|---|
| 4219 | ibit10 = IBITS(wall_flags_0(k,j,i),10,1) |
|---|
| 4220 | ibit9 = IBITS(wall_flags_0(k,j,i),9,1) |
|---|
| 4221 | |
|---|
| 4222 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 4223 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 4224 | ( 37.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4225 | + 7.0_wp * ibit10 * adv_mom_3 & |
|---|
| 4226 | + ibit9 * adv_mom_1 & |
|---|
| 4227 | ) * & |
|---|
| 4228 | ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 4229 | - ( 8.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4230 | + ibit10 * adv_mom_3 & |
|---|
| 4231 | ) * & |
|---|
| 4232 | ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 4233 | + ( ibit11 * adv_mom_5 & |
|---|
| 4234 | ) * & |
|---|
| 4235 | ( u(k,j,i+3) + u(k,j,i-2) ) & |
|---|
| 4236 | ) |
|---|
| 4237 | |
|---|
| 4238 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 4239 | ( 10.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4240 | + 3.0_wp * ibit10 * adv_mom_3 & |
|---|
| 4241 | + ibit9 * adv_mom_1 & |
|---|
| 4242 | ) * & |
|---|
| 4243 | ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 4244 | - ( 5.0_wp * ibit11 * adv_mom_5 & |
|---|
| 4245 | + ibit10 * adv_mom_3 & |
|---|
| 4246 | ) * & |
|---|
| 4247 | ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 4248 | + ( ibit11 * adv_mom_5 & |
|---|
| 4249 | ) * & |
|---|
| 4250 | ( u(k,j,i+3) - u(k,j,i-2) ) & |
|---|
| 4251 | ) |
|---|
| 4252 | |
|---|
| 4253 | ibit14 = IBITS(wall_flags_0(k,j,i),14,1) |
|---|
| 4254 | ibit13 = IBITS(wall_flags_0(k,j,i),13,1) |
|---|
| 4255 | ibit12 = IBITS(wall_flags_0(k,j,i),12,1) |
|---|
| 4256 | |
|---|
| 4257 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 4258 | flux_n(k) = v_comp * ( & |
|---|
| 4259 | ( 37.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4260 | + 7.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4261 | + ibit12 * adv_mom_1 & |
|---|
| 4262 | ) * & |
|---|
| 4263 | ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 4264 | - ( 8.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4265 | + ibit13 * adv_mom_3 & |
|---|
| 4266 | ) * & |
|---|
| 4267 | ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 4268 | + ( ibit14 * adv_mom_5 & |
|---|
| 4269 | ) * & |
|---|
| 4270 | ( u(k,j+3,i) + u(k,j-2,i) ) & |
|---|
| 4271 | ) |
|---|
| 4272 | |
|---|
| 4273 | diss_n(k) = - ABS ( v_comp ) * ( & |
|---|
| 4274 | ( 10.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4275 | + 3.0_wp * ibit13 * adv_mom_3 & |
|---|
| 4276 | + ibit12 * adv_mom_1 & |
|---|
| 4277 | ) * & |
|---|
| 4278 | ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 4279 | - ( 5.0_wp * ibit14 * adv_mom_5 & |
|---|
| 4280 | + ibit13 * adv_mom_3 & |
|---|
| 4281 | ) * & |
|---|
| 4282 | ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 4283 | + ( ibit14 * adv_mom_5 & |
|---|
| 4284 | ) * & |
|---|
| 4285 | ( u(k,j+3,i) - u(k,j-2,i) ) & |
|---|
| 4286 | ) |
|---|
| 4287 | ! |
|---|
| 4288 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4289 | !-- subscripts will be exceeded. |
|---|
| 4290 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 4291 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 4292 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 4293 | |
|---|
| 4294 | k_ppp = k + 3 * ibit17 |
|---|
| 4295 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 4296 | k_mm = k - 2 * ibit17 |
|---|
| 4297 | |
|---|
| 4298 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 4299 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4300 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4301 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4302 | + ibit15 * adv_mom_1 & |
|---|
| 4303 | ) * & |
|---|
| 4304 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 4305 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4306 | + ibit16 * adv_mom_3 & |
|---|
| 4307 | ) * & |
|---|
| 4308 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 4309 | + ( ibit17 * adv_mom_5 & |
|---|
| 4310 | ) * & |
|---|
| 4311 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 4312 | ) |
|---|
| 4313 | |
|---|
| 4314 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4315 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4316 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4317 | + ibit15 * adv_mom_1 & |
|---|
| 4318 | ) * & |
|---|
| 4319 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 4320 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4321 | + ibit16 * adv_mom_3 & |
|---|
| 4322 | ) * & |
|---|
| 4323 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 4324 | + ( ibit17 * adv_mom_5 & |
|---|
| 4325 | ) * & |
|---|
| 4326 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 4327 | ) |
|---|
| 4328 | ! |
|---|
| 4329 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4330 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4331 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4332 | div = ( ( u_comp(k) * ( ibit9 + ibit10 + ibit11 ) & |
|---|
| 4333 | - ( u(k,j,i) + u(k,j,i-1) ) & |
|---|
| 4334 | * ( IBITS(wall_flags_0(k,j,i-1),9,1) & |
|---|
| 4335 | + IBITS(wall_flags_0(k,j,i-1),10,1) & |
|---|
| 4336 | + IBITS(wall_flags_0(k,j,i-1),11,1) & |
|---|
| 4337 | ) & |
|---|
| 4338 | ) * rho_air(k) * ddx & |
|---|
| 4339 | + ( ( v_comp + gv ) * ( ibit12 + ibit13 + ibit14 ) & |
|---|
| 4340 | - ( v(k,j,i) + v(k,j,i-1 ) ) & |
|---|
| 4341 | * ( IBITS(wall_flags_0(k,j-1,i),12,1) & |
|---|
| 4342 | + IBITS(wall_flags_0(k,j-1,i),13,1) & |
|---|
| 4343 | + IBITS(wall_flags_0(k,j-1,i),14,1) & |
|---|
| 4344 | ) & |
|---|
| 4345 | ) * rho_air(k) * ddy & |
|---|
| 4346 | + ( w_comp * rho_air_zw(k) * ( ibit15 + ibit16 + ibit17 ) & |
|---|
| 4347 | - ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 4348 | * ( IBITS(wall_flags_0(k-1,j,i),15,1) & |
|---|
| 4349 | + IBITS(wall_flags_0(k-1,j,i),16,1) & |
|---|
| 4350 | + IBITS(wall_flags_0(k-1,j,i),17,1) & |
|---|
| 4351 | ) & |
|---|
| 4352 | ) * ddzw(k) & |
|---|
| 4353 | ) * 0.5_wp |
|---|
| 4354 | |
|---|
| 4355 | |
|---|
| 4356 | |
|---|
| 4357 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4358 | ( flux_r(k) + diss_r(k) & |
|---|
| 4359 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 4360 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4361 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 4362 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4363 | - ( flux_d + diss_d ) & |
|---|
| 4364 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4365 | ) + div * u(k,j,i) |
|---|
| 4366 | |
|---|
| 4367 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 4368 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 4369 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 4370 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 4371 | flux_d = flux_t(k) |
|---|
| 4372 | diss_d = diss_t(k) |
|---|
| 4373 | ! |
|---|
| 4374 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 4375 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4376 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 4377 | + ( flux_r(k) & |
|---|
| 4378 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4379 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 4380 | + diss_r(k) & |
|---|
| 4381 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4382 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 4383 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4384 | ! |
|---|
| 4385 | !-- Statistical Evaluation of w'u'. |
|---|
| 4386 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 4387 | + ( flux_t(k) & |
|---|
| 4388 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4389 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4390 | + diss_t(k) & |
|---|
| 4391 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4392 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4393 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4394 | |
|---|
| 4395 | ENDDO |
|---|
| 4396 | |
|---|
| 4397 | DO k = nzb_max+1, nzt |
|---|
| 4398 | |
|---|
| 4399 | u_comp(k) = u(k,j,i+1) + u(k,j,i) |
|---|
| 4400 | flux_r(k) = ( u_comp(k) - gu ) * ( & |
|---|
| 4401 | 37.0_wp * ( u(k,j,i+1) + u(k,j,i) ) & |
|---|
| 4402 | - 8.0_wp * ( u(k,j,i+2) + u(k,j,i-1) ) & |
|---|
| 4403 | + ( u(k,j,i+3) + u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4404 | diss_r(k) = - ABS( u_comp(k) - gu ) * ( & |
|---|
| 4405 | 10.0_wp * ( u(k,j,i+1) - u(k,j,i) ) & |
|---|
| 4406 | - 5.0_wp * ( u(k,j,i+2) - u(k,j,i-1) ) & |
|---|
| 4407 | + ( u(k,j,i+3) - u(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4408 | |
|---|
| 4409 | v_comp = v(k,j+1,i) + v(k,j+1,i-1) - gv |
|---|
| 4410 | flux_n(k) = v_comp * ( & |
|---|
| 4411 | 37.0_wp * ( u(k,j+1,i) + u(k,j,i) ) & |
|---|
| 4412 | - 8.0_wp * ( u(k,j+2,i) + u(k,j-1,i) ) & |
|---|
| 4413 | + ( u(k,j+3,i) + u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4414 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 4415 | 10.0_wp * ( u(k,j+1,i) - u(k,j,i) ) & |
|---|
| 4416 | - 5.0_wp * ( u(k,j+2,i) - u(k,j-1,i) ) & |
|---|
| 4417 | + ( u(k,j+3,i) - u(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4418 | ! |
|---|
| 4419 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4420 | !-- subscripts will be exceeded. |
|---|
| 4421 | ibit17 = IBITS(wall_flags_0(k,j,i),17,1) |
|---|
| 4422 | ibit16 = IBITS(wall_flags_0(k,j,i),16,1) |
|---|
| 4423 | ibit15 = IBITS(wall_flags_0(k,j,i),15,1) |
|---|
| 4424 | |
|---|
| 4425 | k_ppp = k + 3 * ibit17 |
|---|
| 4426 | k_pp = k + 2 * ( 1 - ibit15 ) |
|---|
| 4427 | k_mm = k - 2 * ibit17 |
|---|
| 4428 | |
|---|
| 4429 | w_comp = w(k,j,i) + w(k,j,i-1) |
|---|
| 4430 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4431 | ( 37.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4432 | + 7.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4433 | + ibit15 * adv_mom_1 & |
|---|
| 4434 | ) * & |
|---|
| 4435 | ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 4436 | - ( 8.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4437 | + ibit16 * adv_mom_3 & |
|---|
| 4438 | ) * & |
|---|
| 4439 | ( u(k_pp,j,i) + u(k-1,j,i) ) & |
|---|
| 4440 | + ( ibit17 * adv_mom_5 & |
|---|
| 4441 | ) * & |
|---|
| 4442 | ( u(k_ppp,j,i) + u(k_mm,j,i) ) & |
|---|
| 4443 | ) |
|---|
| 4444 | |
|---|
| 4445 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4446 | ( 10.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4447 | + 3.0_wp * ibit16 * adv_mom_3 & |
|---|
| 4448 | + ibit15 * adv_mom_1 & |
|---|
| 4449 | ) * & |
|---|
| 4450 | ( u(k+1,j,i) - u(k,j,i) ) & |
|---|
| 4451 | - ( 5.0_wp * ibit17 * adv_mom_5 & |
|---|
| 4452 | + ibit16 * adv_mom_3 & |
|---|
| 4453 | ) * & |
|---|
| 4454 | ( u(k_pp,j,i) - u(k-1,j,i) ) & |
|---|
| 4455 | + ( ibit17 * adv_mom_5 & |
|---|
| 4456 | ) * & |
|---|
| 4457 | ( u(k_ppp,j,i) - u(k_mm,j,i) ) & |
|---|
| 4458 | ) |
|---|
| 4459 | ! |
|---|
| 4460 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4461 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4462 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4463 | div = ( ( u_comp(k) - ( u(k,j,i) + u(k,j,i-1) ) ) * ddx & |
|---|
| 4464 | * rho_air(k)& |
|---|
| 4465 | + ( v_comp + gv - ( v(k,j,i) + v(k,j,i-1 ) ) ) * ddy & |
|---|
| 4466 | * rho_air(k)& |
|---|
| 4467 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 4468 | ( w(k-1,j,i) + w(k-1,j,i-1) ) * rho_air_zw(k-1) & |
|---|
| 4469 | ) * ddzw(k) & |
|---|
| 4470 | ) * 0.5_wp |
|---|
| 4471 | |
|---|
| 4472 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4473 | ( flux_r(k) + diss_r(k) & |
|---|
| 4474 | - swap_flux_x_local_u(k,j) - swap_diss_x_local_u(k,j) ) * ddx & |
|---|
| 4475 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4476 | - swap_flux_y_local_u(k) - swap_diss_y_local_u(k) ) * ddy & |
|---|
| 4477 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4478 | - ( flux_d + diss_d ) & |
|---|
| 4479 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4480 | ) + div * u(k,j,i) |
|---|
| 4481 | |
|---|
| 4482 | swap_flux_x_local_u(k,j) = flux_r(k) |
|---|
| 4483 | swap_diss_x_local_u(k,j) = diss_r(k) |
|---|
| 4484 | swap_flux_y_local_u(k) = flux_n(k) |
|---|
| 4485 | swap_diss_y_local_u(k) = diss_n(k) |
|---|
| 4486 | flux_d = flux_t(k) |
|---|
| 4487 | diss_d = diss_t(k) |
|---|
| 4488 | ! |
|---|
| 4489 | !-- Statistical Evaluation of u'u'. The factor has to be applied |
|---|
| 4490 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4491 | sums_us2_ws_l(k,tn) = sums_us2_ws_l(k,tn) & |
|---|
| 4492 | + ( flux_r(k) & |
|---|
| 4493 | * ( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4494 | / ( u_comp(k) - gu + SIGN( 1.0E-20_wp, u_comp(k) - gu ) ) & |
|---|
| 4495 | + diss_r(k) & |
|---|
| 4496 | * ABS( u_comp(k) - 2.0_wp * hom(k,1,1,0) ) & |
|---|
| 4497 | / ( ABS( u_comp(k) - gu ) + 1.0E-20_wp ) & |
|---|
| 4498 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4499 | ! |
|---|
| 4500 | !-- Statistical Evaluation of w'u'. |
|---|
| 4501 | sums_wsus_ws_l(k,tn) = sums_wsus_ws_l(k,tn) & |
|---|
| 4502 | + ( flux_t(k) & |
|---|
| 4503 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4504 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4505 | + diss_t(k) & |
|---|
| 4506 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4507 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4508 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4509 | ENDDO |
|---|
| 4510 | ENDDO |
|---|
| 4511 | ENDDO |
|---|
| 4512 | sums_us2_ws_l(nzb,tn) = sums_us2_ws_l(nzb+1,tn) |
|---|
| 4513 | |
|---|
| 4514 | |
|---|
| 4515 | END SUBROUTINE advec_u_ws |
|---|
| 4516 | |
|---|
| 4517 | |
|---|
| 4518 | !------------------------------------------------------------------------------! |
|---|
| 4519 | ! Description: |
|---|
| 4520 | ! ------------ |
|---|
| 4521 | !> Advection of v - Call for all grid points |
|---|
| 4522 | !------------------------------------------------------------------------------! |
|---|
| 4523 | SUBROUTINE advec_v_ws |
|---|
| 4524 | |
|---|
| 4525 | USE arrays_3d, & |
|---|
| 4526 | ONLY: ddzw, drho_air, tend, u, v, w, rho_air, rho_air_zw |
|---|
| 4527 | |
|---|
| 4528 | USE constants, & |
|---|
| 4529 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 4530 | |
|---|
| 4531 | USE control_parameters, & |
|---|
| 4532 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 4533 | |
|---|
| 4534 | USE grid_variables, & |
|---|
| 4535 | ONLY: ddx, ddy |
|---|
| 4536 | |
|---|
| 4537 | USE indices, & |
|---|
| 4538 | ONLY: nxl, nxr, nyn, nys, nysv, nzb, nzb_max, nzt, wall_flags_0 |
|---|
| 4539 | |
|---|
| 4540 | USE kinds |
|---|
| 4541 | |
|---|
| 4542 | USE statistics, & |
|---|
| 4543 | ONLY: hom, sums_vs2_ws_l, sums_wsvs_ws_l, weight_substep |
|---|
| 4544 | |
|---|
| 4545 | IMPLICIT NONE |
|---|
| 4546 | |
|---|
| 4547 | |
|---|
| 4548 | INTEGER(iwp) :: i !< |
|---|
| 4549 | INTEGER(iwp) :: ibit18 !< |
|---|
| 4550 | INTEGER(iwp) :: ibit19 !< |
|---|
| 4551 | INTEGER(iwp) :: ibit20 !< |
|---|
| 4552 | INTEGER(iwp) :: ibit21 !< |
|---|
| 4553 | INTEGER(iwp) :: ibit22 !< |
|---|
| 4554 | INTEGER(iwp) :: ibit23 !< |
|---|
| 4555 | INTEGER(iwp) :: ibit24 !< |
|---|
| 4556 | INTEGER(iwp) :: ibit25 !< |
|---|
| 4557 | INTEGER(iwp) :: ibit26 !< |
|---|
| 4558 | INTEGER(iwp) :: j !< |
|---|
| 4559 | INTEGER(iwp) :: k !< |
|---|
| 4560 | INTEGER(iwp) :: k_mm !< |
|---|
| 4561 | INTEGER(iwp) :: k_pp !< |
|---|
| 4562 | INTEGER(iwp) :: k_ppp !< |
|---|
| 4563 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 4564 | |
|---|
| 4565 | REAL(wp) :: diss_d !< |
|---|
| 4566 | REAL(wp) :: div !< |
|---|
| 4567 | REAL(wp) :: flux_d !< |
|---|
| 4568 | REAL(wp) :: gu !< |
|---|
| 4569 | REAL(wp) :: gv !< |
|---|
| 4570 | REAL(wp) :: u_comp !< |
|---|
| 4571 | REAL(wp) :: w_comp !< |
|---|
| 4572 | |
|---|
| 4573 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_v !< |
|---|
| 4574 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_v !< |
|---|
| 4575 | |
|---|
| 4576 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_v !< |
|---|
| 4577 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_v !< |
|---|
| 4578 | |
|---|
| 4579 | REAL(wp), DIMENSION(nzb:nzt) :: diss_n !< |
|---|
| 4580 | REAL(wp), DIMENSION(nzb:nzt) :: diss_r !< |
|---|
| 4581 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 4582 | REAL(wp), DIMENSION(nzb:nzt) :: flux_n !< |
|---|
| 4583 | REAL(wp), DIMENSION(nzb:nzt) :: flux_r !< |
|---|
| 4584 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 4585 | REAL(wp), DIMENSION(nzb:nzt) :: v_comp !< |
|---|
| 4586 | |
|---|
| 4587 | gu = 2.0_wp * u_gtrans |
|---|
| 4588 | gv = 2.0_wp * v_gtrans |
|---|
| 4589 | ! |
|---|
| 4590 | !-- First compute the whole left boundary of the processor domain |
|---|
| 4591 | i = nxl |
|---|
| 4592 | DO j = nysv, nyn |
|---|
| 4593 | DO k = nzb+1, nzb_max |
|---|
| 4594 | |
|---|
| 4595 | ibit20 = IBITS(wall_flags_0(k,j,i-1),20,1) |
|---|
| 4596 | ibit19 = IBITS(wall_flags_0(k,j,i-1),19,1) |
|---|
| 4597 | ibit18 = IBITS(wall_flags_0(k,j,i-1),18,1) |
|---|
| 4598 | |
|---|
| 4599 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 4600 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 4601 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4602 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4603 | + ibit18 * adv_mom_1 & |
|---|
| 4604 | ) * & |
|---|
| 4605 | ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 4606 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4607 | + ibit19 * adv_mom_3 & |
|---|
| 4608 | ) * & |
|---|
| 4609 | ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 4610 | + ( ibit20 * adv_mom_5 & |
|---|
| 4611 | ) * & |
|---|
| 4612 | ( v(k,j,i+2) + v(k,j,i-3) ) & |
|---|
| 4613 | ) |
|---|
| 4614 | |
|---|
| 4615 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4616 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4617 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4618 | + ibit18 * adv_mom_1 & |
|---|
| 4619 | ) * & |
|---|
| 4620 | ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 4621 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4622 | + ibit19 * adv_mom_3 & |
|---|
| 4623 | ) * & |
|---|
| 4624 | ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 4625 | + ( ibit20 * adv_mom_5 & |
|---|
| 4626 | ) * & |
|---|
| 4627 | ( v(k,j,i+2) - v(k,j,i-3) ) & |
|---|
| 4628 | ) |
|---|
| 4629 | |
|---|
| 4630 | ENDDO |
|---|
| 4631 | |
|---|
| 4632 | DO k = nzb_max+1, nzt |
|---|
| 4633 | |
|---|
| 4634 | u_comp = u(k,j-1,i) + u(k,j,i) - gu |
|---|
| 4635 | swap_flux_x_local_v(k,j) = u_comp * ( & |
|---|
| 4636 | 37.0_wp * ( v(k,j,i) + v(k,j,i-1) ) & |
|---|
| 4637 | - 8.0_wp * ( v(k,j,i+1) + v(k,j,i-2) ) & |
|---|
| 4638 | + ( v(k,j,i+2) + v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4639 | swap_diss_x_local_v(k,j) = - ABS( u_comp ) * ( & |
|---|
| 4640 | 10.0_wp * ( v(k,j,i) - v(k,j,i-1) ) & |
|---|
| 4641 | - 5.0_wp * ( v(k,j,i+1) - v(k,j,i-2) ) & |
|---|
| 4642 | + ( v(k,j,i+2) - v(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 4643 | |
|---|
| 4644 | ENDDO |
|---|
| 4645 | |
|---|
| 4646 | ENDDO |
|---|
| 4647 | |
|---|
| 4648 | DO i = nxl, nxr |
|---|
| 4649 | |
|---|
| 4650 | j = nysv |
|---|
| 4651 | DO k = nzb+1, nzb_max |
|---|
| 4652 | |
|---|
| 4653 | ibit23 = IBITS(wall_flags_0(k,j-1,i),23,1) |
|---|
| 4654 | ibit22 = IBITS(wall_flags_0(k,j-1,i),22,1) |
|---|
| 4655 | ibit21 = IBITS(wall_flags_0(k,j-1,i),21,1) |
|---|
| 4656 | |
|---|
| 4657 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 4658 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 4659 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4660 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4661 | + ibit21 * adv_mom_1 & |
|---|
| 4662 | ) * & |
|---|
| 4663 | ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4664 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4665 | + ibit22 * adv_mom_3 & |
|---|
| 4666 | ) * & |
|---|
| 4667 | ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 4668 | + ( ibit23 * adv_mom_5 & |
|---|
| 4669 | ) * & |
|---|
| 4670 | ( v(k,j+2,i) + v(k,j-3,i) ) & |
|---|
| 4671 | ) |
|---|
| 4672 | |
|---|
| 4673 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 4674 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4675 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4676 | + ibit21 * adv_mom_1 & |
|---|
| 4677 | ) * & |
|---|
| 4678 | ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 4679 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4680 | + ibit22 * adv_mom_3 & |
|---|
| 4681 | ) * & |
|---|
| 4682 | ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 4683 | + ( ibit23 * adv_mom_5 & |
|---|
| 4684 | ) * & |
|---|
| 4685 | ( v(k,j+2,i) - v(k,j-3,i) ) & |
|---|
| 4686 | ) |
|---|
| 4687 | |
|---|
| 4688 | ENDDO |
|---|
| 4689 | |
|---|
| 4690 | DO k = nzb_max+1, nzt |
|---|
| 4691 | |
|---|
| 4692 | v_comp(k) = v(k,j,i) + v(k,j-1,i) - gv |
|---|
| 4693 | swap_flux_y_local_v(k) = v_comp(k) * ( & |
|---|
| 4694 | 37.0_wp * ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4695 | - 8.0_wp * ( v(k,j+1,i) + v(k,j-2,i) ) & |
|---|
| 4696 | + ( v(k,j+2,i) + v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4697 | swap_diss_y_local_v(k) = - ABS( v_comp(k) ) * ( & |
|---|
| 4698 | 10.0_wp * ( v(k,j,i) - v(k,j-1,i) ) & |
|---|
| 4699 | - 5.0_wp * ( v(k,j+1,i) - v(k,j-2,i) ) & |
|---|
| 4700 | + ( v(k,j+2,i) - v(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 4701 | |
|---|
| 4702 | ENDDO |
|---|
| 4703 | |
|---|
| 4704 | DO j = nysv, nyn |
|---|
| 4705 | |
|---|
| 4706 | flux_t(0) = 0.0_wp |
|---|
| 4707 | diss_t(0) = 0.0_wp |
|---|
| 4708 | flux_d = 0.0_wp |
|---|
| 4709 | diss_d = 0.0_wp |
|---|
| 4710 | |
|---|
| 4711 | DO k = nzb+1, nzb_max |
|---|
| 4712 | |
|---|
| 4713 | ibit20 = IBITS(wall_flags_0(k,j,i),20,1) |
|---|
| 4714 | ibit19 = IBITS(wall_flags_0(k,j,i),19,1) |
|---|
| 4715 | ibit18 = IBITS(wall_flags_0(k,j,i),18,1) |
|---|
| 4716 | |
|---|
| 4717 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 4718 | flux_r(k) = u_comp * ( & |
|---|
| 4719 | ( 37.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4720 | + 7.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4721 | + ibit18 * adv_mom_1 & |
|---|
| 4722 | ) * & |
|---|
| 4723 | ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 4724 | - ( 8.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4725 | + ibit19 * adv_mom_3 & |
|---|
| 4726 | ) * & |
|---|
| 4727 | ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 4728 | + ( ibit20 * adv_mom_5 & |
|---|
| 4729 | ) * & |
|---|
| 4730 | ( v(k,j,i+3) + v(k,j,i-2) ) & |
|---|
| 4731 | ) |
|---|
| 4732 | |
|---|
| 4733 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 4734 | ( 10.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4735 | + 3.0_wp * ibit19 * adv_mom_3 & |
|---|
| 4736 | + ibit18 * adv_mom_1 & |
|---|
| 4737 | ) * & |
|---|
| 4738 | ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 4739 | - ( 5.0_wp * ibit20 * adv_mom_5 & |
|---|
| 4740 | + ibit19 * adv_mom_3 & |
|---|
| 4741 | ) * & |
|---|
| 4742 | ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 4743 | + ( ibit20 * adv_mom_5 & |
|---|
| 4744 | ) * & |
|---|
| 4745 | ( v(k,j,i+3) - v(k,j,i-2) ) & |
|---|
| 4746 | ) |
|---|
| 4747 | |
|---|
| 4748 | ibit23 = IBITS(wall_flags_0(k,j,i),23,1) |
|---|
| 4749 | ibit22 = IBITS(wall_flags_0(k,j,i),22,1) |
|---|
| 4750 | ibit21 = IBITS(wall_flags_0(k,j,i),21,1) |
|---|
| 4751 | |
|---|
| 4752 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 4753 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 4754 | ( 37.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4755 | + 7.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4756 | + ibit21 * adv_mom_1 & |
|---|
| 4757 | ) * & |
|---|
| 4758 | ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 4759 | - ( 8.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4760 | + ibit22 * adv_mom_3 & |
|---|
| 4761 | ) * & |
|---|
| 4762 | ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 4763 | + ( ibit23 * adv_mom_5 & |
|---|
| 4764 | ) * & |
|---|
| 4765 | ( v(k,j+3,i) + v(k,j-2,i) ) & |
|---|
| 4766 | ) |
|---|
| 4767 | |
|---|
| 4768 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 4769 | ( 10.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4770 | + 3.0_wp * ibit22 * adv_mom_3 & |
|---|
| 4771 | + ibit21 * adv_mom_1 & |
|---|
| 4772 | ) * & |
|---|
| 4773 | ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 4774 | - ( 5.0_wp * ibit23 * adv_mom_5 & |
|---|
| 4775 | + ibit22 * adv_mom_3 & |
|---|
| 4776 | ) * & |
|---|
| 4777 | ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 4778 | + ( ibit23 * adv_mom_5 & |
|---|
| 4779 | ) * & |
|---|
| 4780 | ( v(k,j+3,i) - v(k,j-2,i) ) & |
|---|
| 4781 | ) |
|---|
| 4782 | ! |
|---|
| 4783 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4784 | !-- subscripts will be exceeded. |
|---|
| 4785 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 4786 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 4787 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 4788 | |
|---|
| 4789 | k_ppp = k + 3 * ibit26 |
|---|
| 4790 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 4791 | k_mm = k - 2 * ibit26 |
|---|
| 4792 | |
|---|
| 4793 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 4794 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4795 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4796 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4797 | + ibit24 * adv_mom_1 & |
|---|
| 4798 | ) * & |
|---|
| 4799 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 4800 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4801 | + ibit25 * adv_mom_3 & |
|---|
| 4802 | ) * & |
|---|
| 4803 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 4804 | + ( ibit26 * adv_mom_5 & |
|---|
| 4805 | ) * & |
|---|
| 4806 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 4807 | ) |
|---|
| 4808 | |
|---|
| 4809 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4810 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4811 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4812 | + ibit24 * adv_mom_1 & |
|---|
| 4813 | ) * & |
|---|
| 4814 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 4815 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4816 | + ibit25 * adv_mom_3 & |
|---|
| 4817 | ) * & |
|---|
| 4818 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 4819 | + ( ibit26 * adv_mom_5 & |
|---|
| 4820 | ) * & |
|---|
| 4821 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 4822 | ) |
|---|
| 4823 | ! |
|---|
| 4824 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4825 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4826 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4827 | div = ( ( ( u_comp + gu ) & |
|---|
| 4828 | * ( ibit18 + ibit19 + ibit20 ) & |
|---|
| 4829 | - ( u(k,j-1,i) + u(k,j,i) ) & |
|---|
| 4830 | * ( IBITS(wall_flags_0(k,j,i-1),18,1) & |
|---|
| 4831 | + IBITS(wall_flags_0(k,j,i-1),19,1) & |
|---|
| 4832 | + IBITS(wall_flags_0(k,j,i-1),20,1) & |
|---|
| 4833 | ) & |
|---|
| 4834 | ) * rho_air(k) * ddx & |
|---|
| 4835 | + ( v_comp(k) & |
|---|
| 4836 | * ( ibit21 + ibit22 + ibit23 ) & |
|---|
| 4837 | - ( v(k,j,i) + v(k,j-1,i) ) & |
|---|
| 4838 | * ( IBITS(wall_flags_0(k,j-1,i),21,1) & |
|---|
| 4839 | + IBITS(wall_flags_0(k,j-1,i),22,1) & |
|---|
| 4840 | + IBITS(wall_flags_0(k,j-1,i),23,1) & |
|---|
| 4841 | ) & |
|---|
| 4842 | ) * rho_air(k) * ddy & |
|---|
| 4843 | + ( w_comp * rho_air_zw(k) & |
|---|
| 4844 | * ( ibit24 + ibit25 + ibit26 ) & |
|---|
| 4845 | - ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 4846 | * ( IBITS(wall_flags_0(k-1,j,i),24,1) & |
|---|
| 4847 | + IBITS(wall_flags_0(k-1,j,i),25,1) & |
|---|
| 4848 | + IBITS(wall_flags_0(k-1,j,i),26,1) & |
|---|
| 4849 | ) & |
|---|
| 4850 | ) * ddzw(k) & |
|---|
| 4851 | ) * 0.5_wp |
|---|
| 4852 | |
|---|
| 4853 | |
|---|
| 4854 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4855 | ( flux_r(k) + diss_r(k) & |
|---|
| 4856 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 4857 | ) * ddx & |
|---|
| 4858 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4859 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 4860 | ) * ddy & |
|---|
| 4861 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4862 | - ( flux_d + diss_d ) & |
|---|
| 4863 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4864 | ) + v(k,j,i) * div |
|---|
| 4865 | |
|---|
| 4866 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 4867 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 4868 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 4869 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 4870 | flux_d = flux_t(k) |
|---|
| 4871 | diss_d = diss_t(k) |
|---|
| 4872 | |
|---|
| 4873 | ! |
|---|
| 4874 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 4875 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4876 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 4877 | + ( flux_n(k) & |
|---|
| 4878 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4879 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 4880 | + diss_n(k) & |
|---|
| 4881 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 4882 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 4883 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4884 | ! |
|---|
| 4885 | !-- Statistical Evaluation of w'u'. |
|---|
| 4886 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 4887 | + ( flux_t(k) & |
|---|
| 4888 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4889 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 4890 | + diss_t(k) & |
|---|
| 4891 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 4892 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 4893 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 4894 | |
|---|
| 4895 | ENDDO |
|---|
| 4896 | |
|---|
| 4897 | DO k = nzb_max+1, nzt |
|---|
| 4898 | |
|---|
| 4899 | u_comp = u(k,j-1,i+1) + u(k,j,i+1) - gu |
|---|
| 4900 | flux_r(k) = u_comp * ( & |
|---|
| 4901 | 37.0_wp * ( v(k,j,i+1) + v(k,j,i) ) & |
|---|
| 4902 | - 8.0_wp * ( v(k,j,i+2) + v(k,j,i-1) ) & |
|---|
| 4903 | + ( v(k,j,i+3) + v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4904 | |
|---|
| 4905 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 4906 | 10.0_wp * ( v(k,j,i+1) - v(k,j,i) ) & |
|---|
| 4907 | - 5.0_wp * ( v(k,j,i+2) - v(k,j,i-1) ) & |
|---|
| 4908 | + ( v(k,j,i+3) - v(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 4909 | |
|---|
| 4910 | |
|---|
| 4911 | v_comp(k) = v(k,j+1,i) + v(k,j,i) |
|---|
| 4912 | flux_n(k) = ( v_comp(k) - gv ) * ( & |
|---|
| 4913 | 37.0_wp * ( v(k,j+1,i) + v(k,j,i) ) & |
|---|
| 4914 | - 8.0_wp * ( v(k,j+2,i) + v(k,j-1,i) ) & |
|---|
| 4915 | + ( v(k,j+3,i) + v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4916 | |
|---|
| 4917 | diss_n(k) = - ABS( v_comp(k) - gv ) * ( & |
|---|
| 4918 | 10.0_wp * ( v(k,j+1,i) - v(k,j,i) ) & |
|---|
| 4919 | - 5.0_wp * ( v(k,j+2,i) - v(k,j-1,i) ) & |
|---|
| 4920 | + ( v(k,j+3,i) - v(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 4921 | ! |
|---|
| 4922 | !-- k index has to be modified near bottom and top, else array |
|---|
| 4923 | !-- subscripts will be exceeded. |
|---|
| 4924 | ibit26 = IBITS(wall_flags_0(k,j,i),26,1) |
|---|
| 4925 | ibit25 = IBITS(wall_flags_0(k,j,i),25,1) |
|---|
| 4926 | ibit24 = IBITS(wall_flags_0(k,j,i),24,1) |
|---|
| 4927 | |
|---|
| 4928 | k_ppp = k + 3 * ibit26 |
|---|
| 4929 | k_pp = k + 2 * ( 1 - ibit24 ) |
|---|
| 4930 | k_mm = k - 2 * ibit26 |
|---|
| 4931 | |
|---|
| 4932 | w_comp = w(k,j-1,i) + w(k,j,i) |
|---|
| 4933 | flux_t(k) = w_comp * rho_air_zw(k) * ( & |
|---|
| 4934 | ( 37.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4935 | + 7.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4936 | + ibit24 * adv_mom_1 & |
|---|
| 4937 | ) * & |
|---|
| 4938 | ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 4939 | - ( 8.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4940 | + ibit25 * adv_mom_3 & |
|---|
| 4941 | ) * & |
|---|
| 4942 | ( v(k_pp,j,i) + v(k-1,j,i) ) & |
|---|
| 4943 | + ( ibit26 * adv_mom_5 & |
|---|
| 4944 | ) * & |
|---|
| 4945 | ( v(k_ppp,j,i) + v(k_mm,j,i) ) & |
|---|
| 4946 | ) |
|---|
| 4947 | |
|---|
| 4948 | diss_t(k) = - ABS( w_comp ) * rho_air_zw(k) * ( & |
|---|
| 4949 | ( 10.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4950 | + 3.0_wp * ibit25 * adv_mom_3 & |
|---|
| 4951 | + ibit24 * adv_mom_1 & |
|---|
| 4952 | ) * & |
|---|
| 4953 | ( v(k+1,j,i) - v(k,j,i) ) & |
|---|
| 4954 | - ( 5.0_wp * ibit26 * adv_mom_5 & |
|---|
| 4955 | + ibit25 * adv_mom_3 & |
|---|
| 4956 | ) * & |
|---|
| 4957 | ( v(k_pp,j,i) - v(k-1,j,i) ) & |
|---|
| 4958 | + ( ibit26 * adv_mom_5 & |
|---|
| 4959 | ) * & |
|---|
| 4960 | ( v(k_ppp,j,i) - v(k_mm,j,i) ) & |
|---|
| 4961 | ) |
|---|
| 4962 | ! |
|---|
| 4963 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 4964 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 4965 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 4966 | div = ( ( u_comp + gu - ( u(k,j-1,i) + u(k,j,i) ) ) * ddx & |
|---|
| 4967 | * rho_air(k)& |
|---|
| 4968 | + ( v_comp(k) - ( v(k,j,i) + v(k,j-1,i) ) ) * ddy & |
|---|
| 4969 | * rho_air(k)& |
|---|
| 4970 | + ( w_comp * rho_air_zw(k) - & |
|---|
| 4971 | ( w(k-1,j-1,i) + w(k-1,j,i) ) * rho_air_zw(k-1) & |
|---|
| 4972 | ) * ddzw(k) & |
|---|
| 4973 | ) * 0.5_wp |
|---|
| 4974 | |
|---|
| 4975 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 4976 | ( flux_r(k) + diss_r(k) & |
|---|
| 4977 | - swap_flux_x_local_v(k,j) - swap_diss_x_local_v(k,j) & |
|---|
| 4978 | ) * ddx & |
|---|
| 4979 | + ( flux_n(k) + diss_n(k) & |
|---|
| 4980 | - swap_flux_y_local_v(k) - swap_diss_y_local_v(k) & |
|---|
| 4981 | ) * ddy & |
|---|
| 4982 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 4983 | - ( flux_d + diss_d ) & |
|---|
| 4984 | ) * drho_air(k) * ddzw(k) & |
|---|
| 4985 | ) + v(k,j,i) * div |
|---|
| 4986 | |
|---|
| 4987 | swap_flux_x_local_v(k,j) = flux_r(k) |
|---|
| 4988 | swap_diss_x_local_v(k,j) = diss_r(k) |
|---|
| 4989 | swap_flux_y_local_v(k) = flux_n(k) |
|---|
| 4990 | swap_diss_y_local_v(k) = diss_n(k) |
|---|
| 4991 | flux_d = flux_t(k) |
|---|
| 4992 | diss_d = diss_t(k) |
|---|
| 4993 | |
|---|
| 4994 | ! |
|---|
| 4995 | !-- Statistical Evaluation of v'v'. The factor has to be applied |
|---|
| 4996 | !-- for right evaluation when gallilei_trans = .T. . |
|---|
| 4997 | sums_vs2_ws_l(k,tn) = sums_vs2_ws_l(k,tn) & |
|---|
| 4998 | + ( flux_n(k) & |
|---|
| 4999 | * ( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 5000 | / ( v_comp(k) - gv + SIGN( 1.0E-20_wp, v_comp(k) - gv ) ) & |
|---|
| 5001 | + diss_n(k) & |
|---|
| 5002 | * ABS( v_comp(k) - 2.0_wp * hom(k,1,2,0) ) & |
|---|
| 5003 | / ( ABS( v_comp(k) - gv ) + 1.0E-20_wp ) & |
|---|
| 5004 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5005 | ! |
|---|
| 5006 | !-- Statistical Evaluation of w'u'. |
|---|
| 5007 | sums_wsvs_ws_l(k,tn) = sums_wsvs_ws_l(k,tn) & |
|---|
| 5008 | + ( flux_t(k) & |
|---|
| 5009 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5010 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 5011 | + diss_t(k) & |
|---|
| 5012 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5013 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 5014 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5015 | |
|---|
| 5016 | ENDDO |
|---|
| 5017 | ENDDO |
|---|
| 5018 | ENDDO |
|---|
| 5019 | sums_vs2_ws_l(nzb,tn) = sums_vs2_ws_l(nzb+1,tn) |
|---|
| 5020 | |
|---|
| 5021 | |
|---|
| 5022 | END SUBROUTINE advec_v_ws |
|---|
| 5023 | |
|---|
| 5024 | |
|---|
| 5025 | |
|---|
| 5026 | |
|---|
| 5027 | !------------------------------------------------------------------------------! |
|---|
| 5028 | ! Description: |
|---|
| 5029 | ! ------------ |
|---|
| 5030 | !> Advection of w - Call for all grid points |
|---|
| 5031 | !------------------------------------------------------------------------------! |
|---|
| 5032 | SUBROUTINE advec_w_ws |
|---|
| 5033 | |
|---|
| 5034 | USE arrays_3d, & |
|---|
| 5035 | ONLY: ddzu, drho_air_zw, tend, u, v, w, rho_air, rho_air_zw |
|---|
| 5036 | |
|---|
| 5037 | USE constants, & |
|---|
| 5038 | ONLY: adv_mom_1, adv_mom_3, adv_mom_5 |
|---|
| 5039 | |
|---|
| 5040 | USE control_parameters, & |
|---|
| 5041 | ONLY: intermediate_timestep_count, u_gtrans, v_gtrans |
|---|
| 5042 | |
|---|
| 5043 | USE grid_variables, & |
|---|
| 5044 | ONLY: ddx, ddy |
|---|
| 5045 | |
|---|
| 5046 | USE indices, & |
|---|
| 5047 | ONLY: nxl, nxr, nyn, nys, nzb, nzb_max, nzt, wall_flags_0, & |
|---|
| 5048 | wall_flags_00 |
|---|
| 5049 | |
|---|
| 5050 | USE kinds |
|---|
| 5051 | |
|---|
| 5052 | USE statistics, & |
|---|
| 5053 | ONLY: hom, sums_ws2_ws_l, weight_substep |
|---|
| 5054 | |
|---|
| 5055 | IMPLICIT NONE |
|---|
| 5056 | |
|---|
| 5057 | INTEGER(iwp) :: i !< |
|---|
| 5058 | INTEGER(iwp) :: ibit27 !< |
|---|
| 5059 | INTEGER(iwp) :: ibit28 !< |
|---|
| 5060 | INTEGER(iwp) :: ibit29 !< |
|---|
| 5061 | INTEGER(iwp) :: ibit30 !< |
|---|
| 5062 | INTEGER(iwp) :: ibit31 !< |
|---|
| 5063 | INTEGER(iwp) :: ibit32 !< |
|---|
| 5064 | INTEGER(iwp) :: ibit33 !< |
|---|
| 5065 | INTEGER(iwp) :: ibit34 !< |
|---|
| 5066 | INTEGER(iwp) :: ibit35 !< |
|---|
| 5067 | INTEGER(iwp) :: j !< |
|---|
| 5068 | INTEGER(iwp) :: k !< |
|---|
| 5069 | INTEGER(iwp) :: k_mm !< |
|---|
| 5070 | INTEGER(iwp) :: k_pp !< |
|---|
| 5071 | INTEGER(iwp) :: k_ppp !< |
|---|
| 5072 | INTEGER(iwp) :: tn = 0 !< |
|---|
| 5073 | |
|---|
| 5074 | REAL(wp) :: diss_d !< |
|---|
| 5075 | REAL(wp) :: div !< |
|---|
| 5076 | REAL(wp) :: flux_d !< |
|---|
| 5077 | REAL(wp) :: gu !< |
|---|
| 5078 | REAL(wp) :: gv !< |
|---|
| 5079 | REAL(wp) :: u_comp !< |
|---|
| 5080 | REAL(wp) :: v_comp !< |
|---|
| 5081 | REAL(wp) :: w_comp !< |
|---|
| 5082 | |
|---|
| 5083 | REAL(wp), DIMENSION(nzb:nzt) :: diss_t !< |
|---|
| 5084 | REAL(wp), DIMENSION(nzb:nzt) :: flux_t !< |
|---|
| 5085 | |
|---|
| 5086 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_n !< |
|---|
| 5087 | REAL(wp), DIMENSION(nzb+1:nzt) :: diss_r !< |
|---|
| 5088 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_n !< |
|---|
| 5089 | REAL(wp), DIMENSION(nzb+1:nzt) :: flux_r !< |
|---|
| 5090 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_diss_y_local_w !< |
|---|
| 5091 | REAL(wp), DIMENSION(nzb+1:nzt) :: swap_flux_y_local_w !< |
|---|
| 5092 | |
|---|
| 5093 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_diss_x_local_w !< |
|---|
| 5094 | REAL(wp), DIMENSION(nzb+1:nzt,nys:nyn) :: swap_flux_x_local_w !< |
|---|
| 5095 | |
|---|
| 5096 | gu = 2.0_wp * u_gtrans |
|---|
| 5097 | gv = 2.0_wp * v_gtrans |
|---|
| 5098 | ! |
|---|
| 5099 | !-- compute the whole left boundary of the processor domain |
|---|
| 5100 | i = nxl |
|---|
| 5101 | DO j = nys, nyn |
|---|
| 5102 | DO k = nzb+1, nzb_max |
|---|
| 5103 | |
|---|
| 5104 | ibit29 = IBITS(wall_flags_0(k,j,i-1),29,1) |
|---|
| 5105 | ibit28 = IBITS(wall_flags_0(k,j,i-1),28,1) |
|---|
| 5106 | ibit27 = IBITS(wall_flags_0(k,j,i-1),27,1) |
|---|
| 5107 | |
|---|
| 5108 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 5109 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 5110 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5111 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 5112 | + ibit27 * adv_mom_1 & |
|---|
| 5113 | ) * & |
|---|
| 5114 | ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 5115 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5116 | + ibit28 * adv_mom_3 & |
|---|
| 5117 | ) * & |
|---|
| 5118 | ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 5119 | + ( ibit29 * adv_mom_5 & |
|---|
| 5120 | ) * & |
|---|
| 5121 | ( w(k,j,i+2) + w(k,j,i-3) ) & |
|---|
| 5122 | ) |
|---|
| 5123 | |
|---|
| 5124 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 5125 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5126 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 5127 | + ibit27 * adv_mom_1 & |
|---|
| 5128 | ) * & |
|---|
| 5129 | ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 5130 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5131 | + ibit28 * adv_mom_3 & |
|---|
| 5132 | ) * & |
|---|
| 5133 | ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 5134 | + ( ibit29 * adv_mom_5 & |
|---|
| 5135 | ) * & |
|---|
| 5136 | ( w(k,j,i+2) - w(k,j,i-3) ) & |
|---|
| 5137 | ) |
|---|
| 5138 | |
|---|
| 5139 | ENDDO |
|---|
| 5140 | |
|---|
| 5141 | DO k = nzb_max+1, nzt |
|---|
| 5142 | |
|---|
| 5143 | u_comp = u(k+1,j,i) + u(k,j,i) - gu |
|---|
| 5144 | swap_flux_x_local_w(k,j) = u_comp * ( & |
|---|
| 5145 | 37.0_wp * ( w(k,j,i) + w(k,j,i-1) ) & |
|---|
| 5146 | - 8.0_wp * ( w(k,j,i+1) + w(k,j,i-2) ) & |
|---|
| 5147 | + ( w(k,j,i+2) + w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 5148 | swap_diss_x_local_w(k,j) = - ABS( u_comp ) * ( & |
|---|
| 5149 | 10.0_wp * ( w(k,j,i) - w(k,j,i-1) ) & |
|---|
| 5150 | - 5.0_wp * ( w(k,j,i+1) - w(k,j,i-2) ) & |
|---|
| 5151 | + ( w(k,j,i+2) - w(k,j,i-3) ) ) * adv_mom_5 |
|---|
| 5152 | |
|---|
| 5153 | ENDDO |
|---|
| 5154 | |
|---|
| 5155 | ENDDO |
|---|
| 5156 | |
|---|
| 5157 | DO i = nxl, nxr |
|---|
| 5158 | |
|---|
| 5159 | j = nys |
|---|
| 5160 | DO k = nzb+1, nzb_max |
|---|
| 5161 | |
|---|
| 5162 | ibit32 = IBITS(wall_flags_00(k,j-1,i),0,1) |
|---|
| 5163 | ibit31 = IBITS(wall_flags_0(k,j-1,i),31,1) |
|---|
| 5164 | ibit30 = IBITS(wall_flags_0(k,j-1,i),30,1) |
|---|
| 5165 | |
|---|
| 5166 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 5167 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 5168 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5169 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5170 | + ibit30 * adv_mom_1 & |
|---|
| 5171 | ) * & |
|---|
| 5172 | ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 5173 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5174 | + ibit31 * adv_mom_3 & |
|---|
| 5175 | ) * & |
|---|
| 5176 | ( w(k,j+1,i) + w(k,j-2,i) ) & |
|---|
| 5177 | + ( ibit32 * adv_mom_5 & |
|---|
| 5178 | ) * & |
|---|
| 5179 | ( w(k,j+2,i) + w(k,j-3,i) ) & |
|---|
| 5180 | ) |
|---|
| 5181 | |
|---|
| 5182 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 5183 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5184 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5185 | + ibit30 * adv_mom_1 & |
|---|
| 5186 | ) * & |
|---|
| 5187 | ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 5188 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5189 | + ibit31 * adv_mom_3 & |
|---|
| 5190 | ) * & |
|---|
| 5191 | ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 5192 | + ( ibit32 * adv_mom_5 & |
|---|
| 5193 | ) * & |
|---|
| 5194 | ( w(k,j+2,i) - w(k,j-3,i) ) & |
|---|
| 5195 | ) |
|---|
| 5196 | |
|---|
| 5197 | ENDDO |
|---|
| 5198 | |
|---|
| 5199 | DO k = nzb_max+1, nzt |
|---|
| 5200 | |
|---|
| 5201 | v_comp = v(k+1,j,i) + v(k,j,i) - gv |
|---|
| 5202 | swap_flux_y_local_w(k) = v_comp * ( & |
|---|
| 5203 | 37.0_wp * ( w(k,j,i) + w(k,j-1,i) ) & |
|---|
| 5204 | - 8.0_wp * ( w(k,j+1,i) +w(k,j-2,i) ) & |
|---|
| 5205 | + ( w(k,j+2,i) + w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 5206 | swap_diss_y_local_w(k) = - ABS( v_comp ) * ( & |
|---|
| 5207 | 10.0_wp * ( w(k,j,i) - w(k,j-1,i) ) & |
|---|
| 5208 | - 5.0_wp * ( w(k,j+1,i) - w(k,j-2,i) ) & |
|---|
| 5209 | + ( w(k,j+2,i) - w(k,j-3,i) ) ) * adv_mom_5 |
|---|
| 5210 | |
|---|
| 5211 | ENDDO |
|---|
| 5212 | |
|---|
| 5213 | DO j = nys, nyn |
|---|
| 5214 | |
|---|
| 5215 | ! |
|---|
| 5216 | !-- The lower flux has to be calculated explicetely for the tendency |
|---|
| 5217 | !-- at the first w-level. For topography wall this is done implicitely |
|---|
| 5218 | !-- by wall_flags_0. |
|---|
| 5219 | k = nzb + 1 |
|---|
| 5220 | w_comp = w(k,j,i) + w(k-1,j,i) |
|---|
| 5221 | flux_t(0) = w_comp * ( w(k,j,i) + w(k-1,j,i) ) * adv_mom_1 |
|---|
| 5222 | diss_t(0) = -ABS(w_comp) * ( w(k,j,i) - w(k-1,j,i) ) * adv_mom_1 |
|---|
| 5223 | flux_d = flux_t(0) |
|---|
| 5224 | diss_d = diss_t(0) |
|---|
| 5225 | |
|---|
| 5226 | DO k = nzb+1, nzb_max |
|---|
| 5227 | |
|---|
| 5228 | ibit29 = IBITS(wall_flags_0(k,j,i),29,1) |
|---|
| 5229 | ibit28 = IBITS(wall_flags_0(k,j,i),28,1) |
|---|
| 5230 | ibit27 = IBITS(wall_flags_0(k,j,i),27,1) |
|---|
| 5231 | |
|---|
| 5232 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 5233 | flux_r(k) = u_comp * ( & |
|---|
| 5234 | ( 37.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5235 | + 7.0_wp * ibit28 * adv_mom_3 & |
|---|
| 5236 | + ibit27 * adv_mom_1 & |
|---|
| 5237 | ) * & |
|---|
| 5238 | ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 5239 | - ( 8.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5240 | + ibit28 * adv_mom_3 & |
|---|
| 5241 | ) * & |
|---|
| 5242 | ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 5243 | + ( ibit29 * adv_mom_5 & |
|---|
| 5244 | ) * & |
|---|
| 5245 | ( w(k,j,i+3) + w(k,j,i-2) ) & |
|---|
| 5246 | ) |
|---|
| 5247 | |
|---|
| 5248 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 5249 | ( 10.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5250 | + 3.0_wp * ibit28 * adv_mom_3 & |
|---|
| 5251 | + ibit27 * adv_mom_1 & |
|---|
| 5252 | ) * & |
|---|
| 5253 | ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 5254 | - ( 5.0_wp * ibit29 * adv_mom_5 & |
|---|
| 5255 | + ibit28 * adv_mom_3 & |
|---|
| 5256 | ) * & |
|---|
| 5257 | ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 5258 | + ( ibit29 * adv_mom_5 & |
|---|
| 5259 | ) * & |
|---|
| 5260 | ( w(k,j,i+3) - w(k,j,i-2) ) & |
|---|
| 5261 | ) |
|---|
| 5262 | |
|---|
| 5263 | ibit32 = IBITS(wall_flags_00(k,j,i),0,1) |
|---|
| 5264 | ibit31 = IBITS(wall_flags_0(k,j,i),31,1) |
|---|
| 5265 | ibit30 = IBITS(wall_flags_0(k,j,i),30,1) |
|---|
| 5266 | |
|---|
| 5267 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 5268 | flux_n(k) = v_comp * ( & |
|---|
| 5269 | ( 37.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5270 | + 7.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5271 | + ibit30 * adv_mom_1 & |
|---|
| 5272 | ) * & |
|---|
| 5273 | ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 5274 | - ( 8.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5275 | + ibit31 * adv_mom_3 & |
|---|
| 5276 | ) * & |
|---|
| 5277 | ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 5278 | + ( ibit32 * adv_mom_5 & |
|---|
| 5279 | ) * & |
|---|
| 5280 | ( w(k,j+3,i) + w(k,j-2,i) ) & |
|---|
| 5281 | ) |
|---|
| 5282 | |
|---|
| 5283 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 5284 | ( 10.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5285 | + 3.0_wp * ibit31 * adv_mom_3 & |
|---|
| 5286 | + ibit30 * adv_mom_1 & |
|---|
| 5287 | ) * & |
|---|
| 5288 | ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 5289 | - ( 5.0_wp * ibit32 * adv_mom_5 & |
|---|
| 5290 | + ibit31 * adv_mom_3 & |
|---|
| 5291 | ) * & |
|---|
| 5292 | ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 5293 | + ( ibit32 * adv_mom_5 & |
|---|
| 5294 | ) * & |
|---|
| 5295 | ( w(k,j+3,i) - w(k,j-2,i) ) & |
|---|
| 5296 | ) |
|---|
| 5297 | ! |
|---|
| 5298 | !-- k index has to be modified near bottom and top, else array |
|---|
| 5299 | !-- subscripts will be exceeded. |
|---|
| 5300 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
|---|
| 5301 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
|---|
| 5302 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
|---|
| 5303 | |
|---|
| 5304 | k_ppp = k + 3 * ibit35 |
|---|
| 5305 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 5306 | k_mm = k - 2 * ibit35 |
|---|
| 5307 | |
|---|
| 5308 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 5309 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 5310 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5311 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5312 | + ibit33 * adv_mom_1 & |
|---|
| 5313 | ) * & |
|---|
| 5314 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 5315 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5316 | + ibit34 * adv_mom_3 & |
|---|
| 5317 | ) * & |
|---|
| 5318 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 5319 | + ( ibit35 * adv_mom_5 & |
|---|
| 5320 | ) * & |
|---|
| 5321 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 5322 | ) |
|---|
| 5323 | |
|---|
| 5324 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 5325 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5326 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5327 | + ibit33 * adv_mom_1 & |
|---|
| 5328 | ) * & |
|---|
| 5329 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 5330 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5331 | + ibit34 * adv_mom_3 & |
|---|
| 5332 | ) * & |
|---|
| 5333 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 5334 | + ( ibit35 * adv_mom_5 & |
|---|
| 5335 | ) * & |
|---|
| 5336 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 5337 | ) |
|---|
| 5338 | ! |
|---|
| 5339 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 5340 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 5341 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 5342 | div = ( ( ( u_comp + gu ) * ( ibit27 + ibit28 + ibit29 ) & |
|---|
| 5343 | - ( u(k+1,j,i) + u(k,j,i) ) & |
|---|
| 5344 | * ( IBITS(wall_flags_0(k,j,i-1),27,1) & |
|---|
| 5345 | + IBITS(wall_flags_0(k,j,i-1),28,1) & |
|---|
| 5346 | + IBITS(wall_flags_0(k,j,i-1),29,1) & |
|---|
| 5347 | ) & |
|---|
| 5348 | ) * rho_air_zw(k) * ddx & |
|---|
| 5349 | + ( ( v_comp + gv ) * ( ibit30 + ibit31 + ibit32 ) & |
|---|
| 5350 | - ( v(k+1,j,i) + v(k,j,i) ) & |
|---|
| 5351 | * ( IBITS(wall_flags_0(k,j-1,i),30,1) & |
|---|
| 5352 | + IBITS(wall_flags_0(k,j-1,i),31,1) & |
|---|
| 5353 | + IBITS(wall_flags_00(k,j-1,i),0,1) & |
|---|
| 5354 | ) & |
|---|
| 5355 | ) * rho_air_zw(k) * ddy & |
|---|
| 5356 | + ( w_comp * rho_air(k+1) * ( ibit33 + ibit34 + ibit35 ) & |
|---|
| 5357 | - ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 5358 | * ( IBITS(wall_flags_00(k-1,j,i),1,1) & |
|---|
| 5359 | + IBITS(wall_flags_00(k-1,j,i),2,1) & |
|---|
| 5360 | + IBITS(wall_flags_00(k-1,j,i),3,1) & |
|---|
| 5361 | ) & |
|---|
| 5362 | ) * ddzu(k+1) & |
|---|
| 5363 | ) * 0.5_wp |
|---|
| 5364 | |
|---|
| 5365 | |
|---|
| 5366 | |
|---|
| 5367 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 5368 | ( flux_r(k) + diss_r(k) & |
|---|
| 5369 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 5370 | ) * ddx & |
|---|
| 5371 | + ( flux_n(k) + diss_n(k) & |
|---|
| 5372 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 5373 | ) * ddy & |
|---|
| 5374 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 5375 | - ( flux_d + diss_d ) & |
|---|
| 5376 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5377 | ) + div * w(k,j,i) |
|---|
| 5378 | |
|---|
| 5379 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 5380 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 5381 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 5382 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 5383 | flux_d = flux_t(k) |
|---|
| 5384 | diss_d = diss_t(k) |
|---|
| 5385 | |
|---|
| 5386 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 5387 | + ( flux_t(k) & |
|---|
| 5388 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5389 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 5390 | + diss_t(k) & |
|---|
| 5391 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5392 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 5393 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5394 | |
|---|
| 5395 | ENDDO |
|---|
| 5396 | |
|---|
| 5397 | DO k = nzb_max+1, nzt |
|---|
| 5398 | |
|---|
| 5399 | u_comp = u(k+1,j,i+1) + u(k,j,i+1) - gu |
|---|
| 5400 | flux_r(k) = u_comp * ( & |
|---|
| 5401 | 37.0_wp * ( w(k,j,i+1) + w(k,j,i) ) & |
|---|
| 5402 | - 8.0_wp * ( w(k,j,i+2) + w(k,j,i-1) ) & |
|---|
| 5403 | + ( w(k,j,i+3) + w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 5404 | |
|---|
| 5405 | diss_r(k) = - ABS( u_comp ) * ( & |
|---|
| 5406 | 10.0_wp * ( w(k,j,i+1) - w(k,j,i) ) & |
|---|
| 5407 | - 5.0_wp * ( w(k,j,i+2) - w(k,j,i-1) ) & |
|---|
| 5408 | + ( w(k,j,i+3) - w(k,j,i-2) ) ) * adv_mom_5 |
|---|
| 5409 | |
|---|
| 5410 | v_comp = v(k+1,j+1,i) + v(k,j+1,i) - gv |
|---|
| 5411 | flux_n(k) = v_comp * ( & |
|---|
| 5412 | 37.0_wp * ( w(k,j+1,i) + w(k,j,i) ) & |
|---|
| 5413 | - 8.0_wp * ( w(k,j+2,i) + w(k,j-1,i) ) & |
|---|
| 5414 | + ( w(k,j+3,i) + w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 5415 | |
|---|
| 5416 | diss_n(k) = - ABS( v_comp ) * ( & |
|---|
| 5417 | 10.0_wp * ( w(k,j+1,i) - w(k,j,i) ) & |
|---|
| 5418 | - 5.0_wp * ( w(k,j+2,i) - w(k,j-1,i) ) & |
|---|
| 5419 | + ( w(k,j+3,i) - w(k,j-2,i) ) ) * adv_mom_5 |
|---|
| 5420 | ! |
|---|
| 5421 | !-- k index has to be modified near bottom and top, else array |
|---|
| 5422 | !-- subscripts will be exceeded. |
|---|
| 5423 | ibit35 = IBITS(wall_flags_00(k,j,i),3,1) |
|---|
| 5424 | ibit34 = IBITS(wall_flags_00(k,j,i),2,1) |
|---|
| 5425 | ibit33 = IBITS(wall_flags_00(k,j,i),1,1) |
|---|
| 5426 | |
|---|
| 5427 | k_ppp = k + 3 * ibit35 |
|---|
| 5428 | k_pp = k + 2 * ( 1 - ibit33 ) |
|---|
| 5429 | k_mm = k - 2 * ibit35 |
|---|
| 5430 | |
|---|
| 5431 | w_comp = w(k+1,j,i) + w(k,j,i) |
|---|
| 5432 | flux_t(k) = w_comp * rho_air(k+1) * ( & |
|---|
| 5433 | ( 37.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5434 | + 7.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5435 | + ibit33 * adv_mom_1 & |
|---|
| 5436 | ) * & |
|---|
| 5437 | ( w(k+1,j,i) + w(k,j,i) ) & |
|---|
| 5438 | - ( 8.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5439 | + ibit34 * adv_mom_3 & |
|---|
| 5440 | ) * & |
|---|
| 5441 | ( w(k_pp,j,i) + w(k-1,j,i) ) & |
|---|
| 5442 | + ( ibit35 * adv_mom_5 & |
|---|
| 5443 | ) * & |
|---|
| 5444 | ( w(k_ppp,j,i) + w(k_mm,j,i) ) & |
|---|
| 5445 | ) |
|---|
| 5446 | |
|---|
| 5447 | diss_t(k) = - ABS( w_comp ) * rho_air(k+1) * ( & |
|---|
| 5448 | ( 10.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5449 | + 3.0_wp * ibit34 * adv_mom_3 & |
|---|
| 5450 | + ibit33 * adv_mom_1 & |
|---|
| 5451 | ) * & |
|---|
| 5452 | ( w(k+1,j,i) - w(k,j,i) ) & |
|---|
| 5453 | - ( 5.0_wp * ibit35 * adv_mom_5 & |
|---|
| 5454 | + ibit34 * adv_mom_3 & |
|---|
| 5455 | ) * & |
|---|
| 5456 | ( w(k_pp,j,i) - w(k-1,j,i) ) & |
|---|
| 5457 | + ( ibit35 * adv_mom_5 & |
|---|
| 5458 | ) * & |
|---|
| 5459 | ( w(k_ppp,j,i) - w(k_mm,j,i) ) & |
|---|
| 5460 | ) |
|---|
| 5461 | ! |
|---|
| 5462 | !-- Calculate the divergence of the velocity field. A respective |
|---|
| 5463 | !-- correction is needed to overcome numerical instabilities caused |
|---|
| 5464 | !-- by a not sufficient reduction of divergences near topography. |
|---|
| 5465 | div = ( ( u_comp + gu - ( u(k+1,j,i) + u(k,j,i) ) ) * ddx & |
|---|
| 5466 | * rho_air_zw(k) & |
|---|
| 5467 | + ( v_comp + gv - ( v(k+1,j,i) + v(k,j,i) ) ) * ddy & |
|---|
| 5468 | * rho_air_zw(k) & |
|---|
| 5469 | + ( w_comp * rho_air(k+1) - & |
|---|
| 5470 | ( w(k,j,i) + w(k-1,j,i) ) * rho_air(k) & |
|---|
| 5471 | ) * ddzu(k+1) & |
|---|
| 5472 | ) * 0.5_wp |
|---|
| 5473 | |
|---|
| 5474 | tend(k,j,i) = tend(k,j,i) - ( & |
|---|
| 5475 | ( flux_r(k) + diss_r(k) & |
|---|
| 5476 | - swap_flux_x_local_w(k,j) - swap_diss_x_local_w(k,j) & |
|---|
| 5477 | ) * ddx & |
|---|
| 5478 | + ( flux_n(k) + diss_n(k) & |
|---|
| 5479 | - swap_flux_y_local_w(k) - swap_diss_y_local_w(k) & |
|---|
| 5480 | ) * ddy & |
|---|
| 5481 | + ( ( flux_t(k) + diss_t(k) ) & |
|---|
| 5482 | - ( flux_d + diss_d ) & |
|---|
| 5483 | ) * drho_air_zw(k) * ddzu(k+1) & |
|---|
| 5484 | ) + div * w(k,j,i) |
|---|
| 5485 | |
|---|
| 5486 | swap_flux_x_local_w(k,j) = flux_r(k) |
|---|
| 5487 | swap_diss_x_local_w(k,j) = diss_r(k) |
|---|
| 5488 | swap_flux_y_local_w(k) = flux_n(k) |
|---|
| 5489 | swap_diss_y_local_w(k) = diss_n(k) |
|---|
| 5490 | flux_d = flux_t(k) |
|---|
| 5491 | diss_d = diss_t(k) |
|---|
| 5492 | |
|---|
| 5493 | sums_ws2_ws_l(k,tn) = sums_ws2_ws_l(k,tn) & |
|---|
| 5494 | + ( flux_t(k) & |
|---|
| 5495 | * ( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5496 | / ( w_comp + SIGN( 1.0E-20_wp, w_comp ) ) & |
|---|
| 5497 | + diss_t(k) & |
|---|
| 5498 | * ABS( w_comp - 2.0_wp * hom(k,1,3,0) ) & |
|---|
| 5499 | / ( ABS( w_comp ) + 1.0E-20_wp ) & |
|---|
| 5500 | ) * weight_substep(intermediate_timestep_count) |
|---|
| 5501 | |
|---|
| 5502 | ENDDO |
|---|
| 5503 | ENDDO |
|---|
| 5504 | ENDDO |
|---|
| 5505 | |
|---|
| 5506 | END SUBROUTINE advec_w_ws |
|---|
| 5507 | |
|---|
| 5508 | |
|---|
| 5509 | END MODULE advec_ws |
|---|
