[1850] | 1 | !> @file microphysics_mod.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[2696] | 3 | ! This file is part of the PALM model system. |
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[1093] | 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1093] | 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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[2718] | 17 | ! Copyright 1997-2018 Leibniz Universitaet Hannover |
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[2000] | 18 | !------------------------------------------------------------------------------! |
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[1093] | 19 | ! |
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[1000] | 20 | ! Current revisions: |
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[1092] | 21 | ! ------------------ |
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[2318] | 22 | ! |
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[2701] | 23 | ! |
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[1321] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: microphysics_mod.f90 2718 2018-01-02 08:49:38Z raasch $ |
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[2716] | 27 | ! Corrected "Former revisions" section |
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[2701] | 28 | ! |
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[2716] | 29 | ! 2701 2017-12-15 15:40:50Z suehring |
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| 30 | ! Changes from last commit documented |
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| 31 | ! |
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[2701] | 32 | ! 2698 2017-12-14 18:46:24Z suehring |
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[2716] | 33 | ! Bugfix in get_topography_top_index |
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| 34 | ! |
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| 35 | ! 2696 2017-12-14 17:12:51Z kanani |
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| 36 | ! Change in file header (GPL part) |
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| 37 | ! |
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| 38 | ! 2608 2017-11-13 14:04:26Z schwenkel |
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[2608] | 39 | ! Calculation of supersaturation in external module (diagnostic_quantities_mod). |
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| 40 | ! Change: correct calculation of saturation specific humidity to saturation |
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| 41 | ! mixing ratio (the factor of 0.378 vanishes). |
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| 42 | ! |
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| 43 | ! 2522 2017-10-05 14:20:37Z schwenkel |
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[2522] | 44 | ! Minor bugfix |
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| 45 | ! |
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| 46 | ! 2375 2017-08-29 14:10:28Z schwenkel |
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[2375] | 47 | ! Improved aerosol initilization and some minor bugfixes |
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| 48 | ! for droplet sedimenation |
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| 49 | ! |
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| 50 | ! 2318 2017-07-20 17:27:44Z suehring |
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[2318] | 51 | ! Get topography top index via Function call |
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| 52 | ! |
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| 53 | ! 2317 2017-07-20 17:27:19Z suehring |
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[2312] | 54 | ! s1 changed to log_sigma |
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| 55 | ! |
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| 56 | ! 2292 2017-06-20 09:51:42Z schwenkel |
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| 57 | ! Implementation of new microphysic scheme: cloud_scheme = 'morrison' |
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| 58 | ! includes two more prognostic equations for cloud drop concentration (nc) |
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| 59 | ! and cloud water content (qc). |
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| 60 | ! - The process of activation is parameterized with a simple Twomey |
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| 61 | ! activion scheme or with considering solution and curvature |
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[2292] | 62 | ! effects (Khvorostyanov and Curry ,2006). |
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| 63 | ! - The saturation adjustment scheme is replaced by the parameterization |
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| 64 | ! of condensation rates (Khairoutdinov and Kogan, 2000, Mon. Wea. Rev.,128). |
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| 65 | ! - All other microphysical processes of Seifert and Beheng are used. |
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[2312] | 66 | ! Additionally, in those processes the reduction of cloud number concentration |
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| 67 | ! is considered. |
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| 68 | ! |
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[2292] | 69 | ! 2233 2017-05-30 18:08:54Z suehring |
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[1321] | 70 | ! |
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[2233] | 71 | ! 2232 2017-05-30 17:47:52Z suehring |
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| 72 | ! Adjustments to new topography and surface concept |
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[2312] | 73 | ! |
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[2156] | 74 | ! 2155 2017-02-21 09:57:40Z hoffmann |
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| 75 | ! Bugfix in the calculation of microphysical quantities on ghost points. |
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| 76 | ! |
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[2032] | 77 | ! 2031 2016-10-21 15:11:58Z knoop |
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| 78 | ! renamed variable rho to rho_ocean |
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[2155] | 79 | ! |
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[2001] | 80 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 81 | ! Forced header and separation lines into 80 columns |
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[2155] | 82 | ! |
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[1851] | 83 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 84 | ! Module renamed |
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| 85 | ! Adapted for modularization of microphysics. |
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| 86 | ! |
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[1846] | 87 | ! 1845 2016-04-08 08:29:13Z raasch |
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| 88 | ! nzb_2d replaced by nzb_s_inner, Kessler precipitation is stored at surface |
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| 89 | ! point (instead of one point above surface) |
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| 90 | ! |
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[1832] | 91 | ! 1831 2016-04-07 13:15:51Z hoffmann |
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| 92 | ! turbulence renamed collision_turbulence, |
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| 93 | ! drizzle renamed cloud_water_sedimentation. cloud_water_sedimentation also |
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| 94 | ! avaialble for microphysics_kessler. |
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| 95 | ! |
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[1823] | 96 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 97 | ! Unused variables removed. |
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| 98 | ! Kessler scheme integrated. |
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| 99 | ! |
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[1692] | 100 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 101 | ! Added new routine calc_precipitation_amount. The routine now allows to account |
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| 102 | ! for precipitation due to sedimenation of cloud (fog) droplets |
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[2155] | 103 | ! |
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[1683] | 104 | ! 1682 2015-10-07 23:56:08Z knoop |
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[2155] | 105 | ! Code annotations made doxygen readable |
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[1683] | 106 | ! |
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[1647] | 107 | ! 1646 2015-09-02 16:00:10Z hoffmann |
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| 108 | ! Bugfix: Wrong computation of d_mean. |
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| 109 | ! |
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[1362] | 110 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 111 | ! Bugfix in sedimentation_rain: Index corrected. |
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| 112 | ! Vectorized version of adjust_cloud added. |
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| 113 | ! Little reformatting of the code. |
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[2155] | 114 | ! |
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[1354] | 115 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 116 | ! REAL constants provided with KIND-attribute |
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[2155] | 117 | ! |
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[1347] | 118 | ! 1346 2014-03-27 13:18:20Z heinze |
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[2155] | 119 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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[1347] | 120 | ! intrinsic function like MAX, MIN, SIGN |
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[2155] | 121 | ! |
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[1335] | 122 | ! 1334 2014-03-25 12:21:40Z heinze |
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| 123 | ! Bugfix: REAL constants provided with KIND-attribute |
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| 124 | ! |
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[1323] | 125 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 126 | ! REAL constants defined as wp-kind |
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| 127 | ! |
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[1321] | 128 | ! 1320 2014-03-20 08:40:49Z raasch |
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[1320] | 129 | ! ONLY-attribute added to USE-statements, |
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| 130 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 131 | ! kinds are defined in new module kinds, |
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| 132 | ! comment fields (!:) to be used for variable explanations added to |
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| 133 | ! all variable declaration statements |
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[1000] | 134 | ! |
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[1242] | 135 | ! 1241 2013-10-30 11:36:58Z heinze |
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[2031] | 136 | ! hyp and rho_ocean have to be calculated at each time step if data from external |
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[1242] | 137 | ! file LSF_DATA are used |
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| 138 | ! |
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[1116] | 139 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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| 140 | ! microphyical tendencies are calculated in microphysics_control in an optimized |
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| 141 | ! way; unrealistic values are prevented; bugfix in evaporation; some reformatting |
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| 142 | ! |
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[1107] | 143 | ! 1106 2013-03-04 05:31:38Z raasch |
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| 144 | ! small changes in code formatting |
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| 145 | ! |
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[1093] | 146 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 147 | ! unused variables removed |
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| 148 | ! file put under GPL |
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| 149 | ! |
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[1066] | 150 | ! 1065 2012-11-22 17:42:36Z hoffmann |
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| 151 | ! Sedimentation process implemented according to Stevens and Seifert (2008). |
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[1115] | 152 | ! Turbulence effects on autoconversion and accretion added (Seifert, Nuijens |
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[1066] | 153 | ! and Stevens, 2010). |
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| 154 | ! |
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[1054] | 155 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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| 156 | ! initial revision |
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[2155] | 157 | ! |
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[1000] | 158 | ! Description: |
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| 159 | ! ------------ |
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[1849] | 160 | !> Calculate bilk cloud microphysics. |
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[1000] | 161 | !------------------------------------------------------------------------------! |
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[1682] | 162 | MODULE microphysics_mod |
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[1000] | 163 | |
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[1849] | 164 | USE kinds |
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| 165 | |
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| 166 | IMPLICIT NONE |
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| 167 | |
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[2292] | 168 | LOGICAL :: cloud_water_sedimentation = .FALSE. !< cloud water sedimentation |
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| 169 | LOGICAL :: curvature_solution_effects_bulk = .FALSE. !< flag for considering koehler theory |
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| 170 | LOGICAL :: limiter_sedimentation = .TRUE. !< sedimentation limiter |
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| 171 | LOGICAL :: collision_turbulence = .FALSE. !< turbulence effects |
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| 172 | LOGICAL :: ventilation_effect = .TRUE. !< ventilation effect |
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[1849] | 173 | |
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| 174 | REAL(wp) :: a_1 = 8.69E-4_wp !< coef. in turb. parametrization (cm-2 s3) |
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| 175 | REAL(wp) :: a_2 = -7.38E-5_wp !< coef. in turb. parametrization (cm-2 s3) |
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| 176 | REAL(wp) :: a_3 = -1.40E-2_wp !< coef. in turb. parametrization |
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| 177 | REAL(wp) :: a_term = 9.65_wp !< coef. for terminal velocity (m s-1) |
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| 178 | REAL(wp) :: a_vent = 0.78_wp !< coef. for ventilation effect |
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| 179 | REAL(wp) :: b_1 = 11.45E-6_wp !< coef. in turb. parametrization (m) |
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| 180 | REAL(wp) :: b_2 = 9.68E-6_wp !< coef. in turb. parametrization (m) |
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| 181 | REAL(wp) :: b_3 = 0.62_wp !< coef. in turb. parametrization |
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| 182 | REAL(wp) :: b_term = 9.8_wp !< coef. for terminal velocity (m s-1) |
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| 183 | REAL(wp) :: b_vent = 0.308_wp !< coef. for ventilation effect |
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| 184 | REAL(wp) :: beta_cc = 3.09E-4_wp !< coef. in turb. parametrization (cm-2 s3) |
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| 185 | REAL(wp) :: c_1 = 4.82E-6_wp !< coef. in turb. parametrization (m) |
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| 186 | REAL(wp) :: c_2 = 4.8E-6_wp !< coef. in turb. parametrization (m) |
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| 187 | REAL(wp) :: c_3 = 0.76_wp !< coef. in turb. parametrization |
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| 188 | REAL(wp) :: c_const = 0.93_wp !< const. in Taylor-microscale Reynolds number |
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| 189 | REAL(wp) :: c_evap = 0.7_wp !< constant in evaporation |
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| 190 | REAL(wp) :: c_term = 600.0_wp !< coef. for terminal velocity (m-1) |
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| 191 | REAL(wp) :: diff_coeff_l = 0.23E-4_wp !< diffusivity of water vapor (m2 s-1) |
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[2155] | 192 | REAL(wp) :: eps_sb = 1.0E-10_wp !< threshold in two-moments scheme |
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[2292] | 193 | REAL(wp) :: eps_mr = 0.0_wp !< threshold for morrison scheme |
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[1849] | 194 | REAL(wp) :: k_cc = 9.44E09_wp !< const. cloud-cloud kernel (m3 kg-2 s-1) |
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| 195 | REAL(wp) :: k_cr0 = 4.33_wp !< const. cloud-rain kernel (m3 kg-1 s-1) |
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| 196 | REAL(wp) :: k_rr = 7.12_wp !< const. rain-rain kernel (m3 kg-1 s-1) |
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| 197 | REAL(wp) :: k_br = 1000.0_wp !< const. in breakup parametrization (m-1) |
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| 198 | REAL(wp) :: k_st = 1.2E8_wp !< const. in drizzle parametrization (m-1 s-1) |
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| 199 | REAL(wp) :: kappa_rr = 60.7_wp !< const. in collision kernel (kg-1/3) |
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| 200 | REAL(wp) :: kin_vis_air = 1.4086E-5_wp !< kin. viscosity of air (m2 s-1) |
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| 201 | REAL(wp) :: prec_time_const = 0.001_wp !< coef. in Kessler scheme (s-1) |
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| 202 | REAL(wp) :: ql_crit = 0.0005_wp !< coef. in Kessler scheme (kg kg-1) |
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| 203 | REAL(wp) :: schmidt_p_1d3=0.8921121_wp !< Schmidt number**0.33333, 0.71**0.33333 |
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| 204 | REAL(wp) :: sigma_gc = 1.3_wp !< geometric standard deviation cloud droplets |
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| 205 | REAL(wp) :: thermal_conductivity_l = 2.43E-2_wp !< therm. cond. air (J m-1 s-1 K-1) |
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| 206 | REAL(wp) :: w_precipitation = 9.65_wp !< maximum terminal velocity (m s-1) |
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| 207 | REAL(wp) :: x0 = 2.6E-10_wp !< separating drop mass (kg) |
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[2292] | 208 | REAL(wp) :: xamin = 5.24E-19_wp !< average aerosol mass (kg) (~ 0.05µm) |
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| 209 | REAL(wp) :: xcmin = 4.18E-15_wp !< minimum cloud drop size (kg) (~ 1µm) |
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| 210 | REAL(wp) :: xcmax = 2.6E-10_wp !< maximum cloud drop size (kg) (~ 40µm) |
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[1849] | 211 | REAL(wp) :: xrmin = 2.6E-10_wp !< minimum rain drop size (kg) |
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| 212 | REAL(wp) :: xrmax = 5.0E-6_wp !< maximum rain drop site (kg) |
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| 213 | |
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[2375] | 214 | REAL(wp) :: c_sedimentation = 2.0_wp !< Courant number of sedimentation process |
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| 215 | REAL(wp) :: dpirho_l !< 6.0 / ( pi * rho_l ) |
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| 216 | REAL(wp) :: dry_aerosol_radius = 0.05E-6_wp !< dry aerosol radius |
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| 217 | REAL(wp) :: dt_micro !< microphysics time step |
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| 218 | REAL(wp) :: sigma_bulk = 2.0_wp !< width of aerosol spectrum |
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| 219 | REAL(wp) :: na_init = 100.0E6_wp !< Total particle/aerosol concentration (cm-3) |
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| 220 | REAL(wp) :: nc_const = 70.0E6_wp !< cloud droplet concentration |
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| 221 | REAL(wp) :: dt_precipitation = 100.0_wp !< timestep precipitation (s) |
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| 222 | REAL(wp) :: sed_qc_const !< const. for sedimentation of cloud water |
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| 223 | REAL(wp) :: pirho_l !< pi * rho_l / 6.0; |
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[1849] | 224 | |
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| 225 | REAL(wp), DIMENSION(:), ALLOCATABLE :: nc_1d !< |
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| 226 | REAL(wp), DIMENSION(:), ALLOCATABLE :: nr_1d !< |
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| 227 | REAL(wp), DIMENSION(:), ALLOCATABLE :: pt_1d !< |
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| 228 | REAL(wp), DIMENSION(:), ALLOCATABLE :: qc_1d !< |
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| 229 | REAL(wp), DIMENSION(:), ALLOCATABLE :: qr_1d !< |
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| 230 | REAL(wp), DIMENSION(:), ALLOCATABLE :: q_1d !< |
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| 231 | |
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| 232 | SAVE |
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| 233 | |
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[1000] | 234 | PRIVATE |
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[1849] | 235 | PUBLIC microphysics_control, microphysics_init |
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[1000] | 236 | |
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[2292] | 237 | PUBLIC cloud_water_sedimentation, collision_turbulence, & |
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[2375] | 238 | curvature_solution_effects_bulk, c_sedimentation, & |
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| 239 | dry_aerosol_radius, dt_precipitation, & |
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| 240 | limiter_sedimentation, na_init, nc_const, sigma_gc, sigma_bulk, & |
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[1849] | 241 | ventilation_effect |
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| 242 | |
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[2312] | 243 | |
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[1115] | 244 | INTERFACE microphysics_control |
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| 245 | MODULE PROCEDURE microphysics_control |
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| 246 | MODULE PROCEDURE microphysics_control_ij |
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| 247 | END INTERFACE microphysics_control |
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[1022] | 248 | |
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[1115] | 249 | INTERFACE adjust_cloud |
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| 250 | MODULE PROCEDURE adjust_cloud |
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| 251 | MODULE PROCEDURE adjust_cloud_ij |
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| 252 | END INTERFACE adjust_cloud |
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| 253 | |
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[2292] | 254 | INTERFACE activation |
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| 255 | MODULE PROCEDURE activation |
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| 256 | MODULE PROCEDURE activation_ij |
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| 257 | END INTERFACE activation |
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| 258 | |
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| 259 | INTERFACE condensation |
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| 260 | MODULE PROCEDURE condensation |
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| 261 | MODULE PROCEDURE condensation_ij |
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| 262 | END INTERFACE condensation |
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| 263 | |
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[1000] | 264 | INTERFACE autoconversion |
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| 265 | MODULE PROCEDURE autoconversion |
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| 266 | MODULE PROCEDURE autoconversion_ij |
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| 267 | END INTERFACE autoconversion |
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| 268 | |
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[1822] | 269 | INTERFACE autoconversion_kessler |
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| 270 | MODULE PROCEDURE autoconversion_kessler |
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| 271 | MODULE PROCEDURE autoconversion_kessler_ij |
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| 272 | END INTERFACE autoconversion_kessler |
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| 273 | |
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[1000] | 274 | INTERFACE accretion |
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| 275 | MODULE PROCEDURE accretion |
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| 276 | MODULE PROCEDURE accretion_ij |
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| 277 | END INTERFACE accretion |
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[1005] | 278 | |
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| 279 | INTERFACE selfcollection_breakup |
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| 280 | MODULE PROCEDURE selfcollection_breakup |
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| 281 | MODULE PROCEDURE selfcollection_breakup_ij |
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| 282 | END INTERFACE selfcollection_breakup |
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[1012] | 283 | |
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| 284 | INTERFACE evaporation_rain |
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| 285 | MODULE PROCEDURE evaporation_rain |
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| 286 | MODULE PROCEDURE evaporation_rain_ij |
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| 287 | END INTERFACE evaporation_rain |
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| 288 | |
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| 289 | INTERFACE sedimentation_cloud |
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| 290 | MODULE PROCEDURE sedimentation_cloud |
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| 291 | MODULE PROCEDURE sedimentation_cloud_ij |
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| 292 | END INTERFACE sedimentation_cloud |
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[2155] | 293 | |
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[1012] | 294 | INTERFACE sedimentation_rain |
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| 295 | MODULE PROCEDURE sedimentation_rain |
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| 296 | MODULE PROCEDURE sedimentation_rain_ij |
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| 297 | END INTERFACE sedimentation_rain |
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| 298 | |
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[1691] | 299 | INTERFACE calc_precipitation_amount |
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| 300 | MODULE PROCEDURE calc_precipitation_amount |
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| 301 | MODULE PROCEDURE calc_precipitation_amount_ij |
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| 302 | END INTERFACE calc_precipitation_amount |
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| 303 | |
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[1000] | 304 | CONTAINS |
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[1849] | 305 | !------------------------------------------------------------------------------! |
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| 306 | ! Description: |
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| 307 | ! ------------ |
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| 308 | !> Initialization of bulk microphysics |
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| 309 | !------------------------------------------------------------------------------! |
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| 310 | SUBROUTINE microphysics_init |
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[1000] | 311 | |
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[1849] | 312 | USE arrays_3d, & |
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| 313 | ONLY: dzu |
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[1000] | 314 | |
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[1849] | 315 | USE constants, & |
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| 316 | ONLY: pi |
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| 317 | |
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| 318 | USE cloud_parameters, & |
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[2375] | 319 | ONLY: molecular_weight_of_solute, rho_l, rho_s, vanthoff |
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[1849] | 320 | |
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| 321 | USE control_parameters, & |
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[2375] | 322 | ONLY: aerosol_nacl, aerosol_c3h4o4 , aerosol_nh4no3, & |
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| 323 | microphysics_morrison, microphysics_seifert |
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[1849] | 324 | |
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| 325 | USE indices, & |
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| 326 | ONLY: nzb, nzt |
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| 327 | |
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| 328 | IMPLICIT NONE |
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| 329 | |
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| 330 | ! |
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| 331 | !-- constant for the sedimentation of cloud water (2-moment cloud physics) |
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| 332 | sed_qc_const = k_st * ( 3.0_wp / ( 4.0_wp * pi * rho_l ) & |
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| 333 | )**( 2.0_wp / 3.0_wp ) * & |
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| 334 | EXP( 5.0_wp * LOG( sigma_gc )**2 ) |
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| 335 | |
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| 336 | ! |
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| 337 | !-- Calculate timestep according to precipitation |
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| 338 | IF ( microphysics_seifert ) THEN |
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| 339 | dt_precipitation = c_sedimentation * MINVAL( dzu(nzb+2:nzt) ) / & |
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| 340 | w_precipitation |
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| 341 | ENDIF |
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| 342 | |
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| 343 | ! |
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[2375] | 344 | !-- Set constants for certain aerosol type |
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| 345 | IF ( microphysics_morrison ) THEN |
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| 346 | IF ( aerosol_nacl ) THEN |
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| 347 | molecular_weight_of_solute = 0.05844_wp |
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| 348 | rho_s = 2165.0_wp |
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| 349 | vanthoff = 2.0_wp |
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| 350 | ELSEIF ( aerosol_c3h4o4 ) THEN |
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| 351 | molecular_weight_of_solute = 0.10406_wp |
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| 352 | rho_s = 1600.0_wp |
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| 353 | vanthoff = 1.37_wp |
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| 354 | ELSEIF ( aerosol_nh4no3 ) THEN |
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| 355 | molecular_weight_of_solute = 0.08004_wp |
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| 356 | rho_s = 1720.0_wp |
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| 357 | vanthoff = 2.31_wp |
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| 358 | ENDIF |
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| 359 | ENDIF |
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| 360 | |
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| 361 | ! |
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[1849] | 362 | !-- Pre-calculate frequently calculated fractions of pi and rho_l |
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| 363 | pirho_l = pi * rho_l / 6.0_wp |
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| 364 | dpirho_l = 1.0_wp / pirho_l |
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| 365 | |
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| 366 | ! |
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| 367 | !-- Allocate 1D microphysics arrays |
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[2292] | 368 | ALLOCATE ( pt_1d(nzb:nzt+1), q_1d(nzb:nzt+1), & |
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[1849] | 369 | qc_1d(nzb:nzt+1) ) |
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| 370 | |
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[2292] | 371 | IF ( microphysics_morrison .OR. microphysics_seifert ) THEN |
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| 372 | ALLOCATE ( nc_1d(nzb:nzt+1) ) |
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| 373 | ENDIF |
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| 374 | |
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[1849] | 375 | IF ( microphysics_seifert ) THEN |
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| 376 | ALLOCATE ( nr_1d(nzb:nzt+1), qr_1d(nzb:nzt+1) ) |
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| 377 | ENDIF |
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| 378 | |
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| 379 | END SUBROUTINE microphysics_init |
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| 380 | |
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| 381 | |
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[1000] | 382 | !------------------------------------------------------------------------------! |
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[1682] | 383 | ! Description: |
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| 384 | ! ------------ |
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[1849] | 385 | !> Control of microphysics for all grid points |
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[1000] | 386 | !------------------------------------------------------------------------------! |
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[1115] | 387 | SUBROUTINE microphysics_control |
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[1022] | 388 | |
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[1361] | 389 | USE arrays_3d, & |
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[1849] | 390 | ONLY: hyp, pt_init, prr, zu |
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[1361] | 391 | |
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| 392 | USE cloud_parameters, & |
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[1849] | 393 | ONLY: cp, hyrho, pt_d_t, r_d, t_d_pt |
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[1361] | 394 | |
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| 395 | USE control_parameters, & |
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[1849] | 396 | ONLY: call_microphysics_at_all_substeps, dt_3d, g, & |
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| 397 | intermediate_timestep_count, large_scale_forcing, & |
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[2292] | 398 | lsf_surf, microphysics_kessler, microphysics_morrison, & |
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| 399 | microphysics_seifert, pt_surface, & |
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| 400 | rho_surface,surface_pressure |
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[1361] | 401 | |
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| 402 | USE indices, & |
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| 403 | ONLY: nzb, nzt |
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| 404 | |
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[1320] | 405 | USE kinds |
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[1115] | 406 | |
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[1361] | 407 | USE statistics, & |
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| 408 | ONLY: weight_pres |
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| 409 | |
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[1115] | 410 | IMPLICIT NONE |
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| 411 | |
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[1682] | 412 | INTEGER(iwp) :: k !< |
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[1115] | 413 | |
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[1682] | 414 | REAL(wp) :: t_surface !< |
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[1361] | 415 | |
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| 416 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
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| 417 | ! |
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| 418 | !-- Calculate: |
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| 419 | !-- pt / t : ratio of potential and actual temperature (pt_d_t) |
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| 420 | !-- t / pt : ratio of actual and potential temperature (t_d_pt) |
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| 421 | !-- p_0(z) : vertical profile of the hydrostatic pressure (hyp) |
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| 422 | t_surface = pt_surface * ( surface_pressure / 1000.0_wp )**0.286_wp |
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| 423 | DO k = nzb, nzt+1 |
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| 424 | hyp(k) = surface_pressure * 100.0_wp * & |
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| 425 | ( ( t_surface - g / cp * zu(k) ) / & |
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| 426 | t_surface )**(1.0_wp / 0.286_wp) |
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| 427 | pt_d_t(k) = ( 100000.0_wp / hyp(k) )**0.286_wp |
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| 428 | t_d_pt(k) = 1.0_wp / pt_d_t(k) |
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[2155] | 429 | hyrho(k) = hyp(k) / ( r_d * t_d_pt(k) * pt_init(k) ) |
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[1115] | 430 | ENDDO |
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[1822] | 431 | |
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[1361] | 432 | ! |
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| 433 | !-- Compute reference density |
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| 434 | rho_surface = surface_pressure * 100.0_wp / ( r_d * t_surface ) |
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| 435 | ENDIF |
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[1115] | 436 | |
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[1361] | 437 | ! |
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[2155] | 438 | !-- Compute length of time step |
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[1361] | 439 | IF ( call_microphysics_at_all_substeps ) THEN |
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| 440 | dt_micro = dt_3d * weight_pres(intermediate_timestep_count) |
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| 441 | ELSE |
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| 442 | dt_micro = dt_3d |
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| 443 | ENDIF |
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| 444 | |
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| 445 | ! |
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[1822] | 446 | !-- Reset precipitation rate |
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| 447 | IF ( intermediate_timestep_count == 1 ) prr = 0.0_wp |
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| 448 | |
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| 449 | ! |
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[1361] | 450 | !-- Compute cloud physics |
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[1822] | 451 | IF ( microphysics_kessler ) THEN |
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| 452 | |
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| 453 | CALL autoconversion_kessler |
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[1831] | 454 | IF ( cloud_water_sedimentation ) CALL sedimentation_cloud |
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[1822] | 455 | |
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| 456 | ELSEIF ( microphysics_seifert ) THEN |
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| 457 | |
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[1361] | 458 | CALL adjust_cloud |
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[2292] | 459 | IF ( microphysics_morrison ) CALL activation |
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| 460 | IF ( microphysics_morrison ) CALL condensation |
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[1361] | 461 | CALL autoconversion |
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| 462 | CALL accretion |
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| 463 | CALL selfcollection_breakup |
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| 464 | CALL evaporation_rain |
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| 465 | CALL sedimentation_rain |
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[1831] | 466 | IF ( cloud_water_sedimentation ) CALL sedimentation_cloud |
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[1361] | 467 | |
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[1691] | 468 | ENDIF |
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| 469 | |
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[1822] | 470 | CALL calc_precipitation_amount |
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| 471 | |
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[1115] | 472 | END SUBROUTINE microphysics_control |
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| 473 | |
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[1682] | 474 | !------------------------------------------------------------------------------! |
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| 475 | ! Description: |
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| 476 | ! ------------ |
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[2155] | 477 | !> Adjust number of raindrops to avoid nonlinear effects in sedimentation and |
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| 478 | !> evaporation of rain drops due to too small or too big weights |
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[1682] | 479 | !> of rain drops (Stevens and Seifert, 2008). |
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| 480 | !------------------------------------------------------------------------------! |
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[1115] | 481 | SUBROUTINE adjust_cloud |
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| 482 | |
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[1361] | 483 | USE arrays_3d, & |
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[2292] | 484 | ONLY: qc, nc, qr, nr |
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[1361] | 485 | |
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| 486 | USE cloud_parameters, & |
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[1849] | 487 | ONLY: hyrho |
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[1361] | 488 | |
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[2292] | 489 | USE control_parameters, & |
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| 490 | ONLY: microphysics_morrison |
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| 491 | |
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[1361] | 492 | USE cpulog, & |
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| 493 | ONLY: cpu_log, log_point_s |
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| 494 | |
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| 495 | USE indices, & |
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[2317] | 496 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
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[1361] | 497 | |
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[1320] | 498 | USE kinds |
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[1022] | 499 | |
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| 500 | IMPLICIT NONE |
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| 501 | |
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[1682] | 502 | INTEGER(iwp) :: i !< |
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| 503 | INTEGER(iwp) :: j !< |
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| 504 | INTEGER(iwp) :: k !< |
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[1022] | 505 | |
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[1361] | 506 | CALL cpu_log( log_point_s(54), 'adjust_cloud', 'start' ) |
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| 507 | |
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[2155] | 508 | DO i = nxlg, nxrg |
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| 509 | DO j = nysg, nyng |
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[2232] | 510 | DO k = nzb+1, nzt |
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[1361] | 511 | IF ( qr(k,j,i) <= eps_sb ) THEN |
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| 512 | qr(k,j,i) = 0.0_wp |
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| 513 | nr(k,j,i) = 0.0_wp |
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| 514 | ELSE |
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| 515 | IF ( nr(k,j,i) * xrmin > qr(k,j,i) * hyrho(k) ) THEN |
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[2232] | 516 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmin * & |
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[2312] | 517 | MERGE( 1.0_wp, 0.0_wp, & |
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[2232] | 518 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
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[1361] | 519 | ELSEIF ( nr(k,j,i) * xrmax < qr(k,j,i) * hyrho(k) ) THEN |
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[2232] | 520 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmax * & |
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[2312] | 521 | MERGE( 1.0_wp, 0.0_wp, & |
---|
[2232] | 522 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
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[1361] | 523 | ENDIF |
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| 524 | ENDIF |
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[2292] | 525 | IF ( microphysics_morrison ) THEN |
---|
| 526 | IF ( qc(k,j,i) <= eps_sb ) THEN |
---|
| 527 | qc(k,j,i) = 0.0_wp |
---|
| 528 | nc(k,j,i) = 0.0_wp |
---|
| 529 | ELSE |
---|
| 530 | IF ( nc(k,j,i) * xcmin > qc(k,j,i) * hyrho(k) ) THEN |
---|
| 531 | nc(k,j,i) = qc(k,j,i) * hyrho(k) / xcmin * & |
---|
[2312] | 532 | MERGE( 1.0_wp, 0.0_wp, & |
---|
[2292] | 533 | BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 534 | ENDIF |
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| 535 | ENDIF |
---|
| 536 | ENDIF |
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[1022] | 537 | ENDDO |
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| 538 | ENDDO |
---|
| 539 | ENDDO |
---|
| 540 | |
---|
[1361] | 541 | CALL cpu_log( log_point_s(54), 'adjust_cloud', 'stop' ) |
---|
| 542 | |
---|
[1115] | 543 | END SUBROUTINE adjust_cloud |
---|
[1022] | 544 | |
---|
[2292] | 545 | !------------------------------------------------------------------------------! |
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| 546 | ! Description: |
---|
| 547 | ! ------------ |
---|
| 548 | !> Calculate number of activated condensation nucleii after simple activation |
---|
| 549 | !> scheme of Twomey, 1959. |
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| 550 | !------------------------------------------------------------------------------! |
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| 551 | SUBROUTINE activation |
---|
[1106] | 552 | |
---|
[2292] | 553 | USE arrays_3d, & |
---|
| 554 | ONLY: hyp, nc, nr, pt, q, qc, qr |
---|
| 555 | |
---|
| 556 | USE cloud_parameters, & |
---|
[2375] | 557 | ONLY: hyrho, l_d_cp, l_d_r, l_v, molecular_weight_of_solute, & |
---|
| 558 | molecular_weight_of_water, rho_l, rho_s, r_v, t_d_pt, & |
---|
| 559 | vanthoff |
---|
[2292] | 560 | |
---|
| 561 | USE constants, & |
---|
| 562 | ONLY: pi |
---|
| 563 | |
---|
| 564 | USE cpulog, & |
---|
| 565 | ONLY: cpu_log, log_point_s |
---|
| 566 | |
---|
[2608] | 567 | USE diagnostic_quantities_mod, & |
---|
| 568 | ONLY: e_s, magnus, q_s, sat, supersaturation, t_l |
---|
| 569 | |
---|
[2292] | 570 | USE indices, & |
---|
| 571 | ONLY: nxlg, nxrg, nysg, nyng, nzb, nzt |
---|
| 572 | |
---|
| 573 | USE kinds |
---|
| 574 | |
---|
| 575 | USE control_parameters, & |
---|
| 576 | ONLY: simulated_time |
---|
| 577 | |
---|
| 578 | IMPLICIT NONE |
---|
| 579 | |
---|
| 580 | INTEGER(iwp) :: i !< |
---|
| 581 | INTEGER(iwp) :: j !< |
---|
| 582 | INTEGER(iwp) :: k !< |
---|
| 583 | |
---|
| 584 | REAL(wp) :: activ !< |
---|
| 585 | REAL(wp) :: afactor !< |
---|
| 586 | REAL(wp) :: beta_act !< |
---|
| 587 | REAL(wp) :: bfactor !< |
---|
| 588 | REAL(wp) :: k_act !< |
---|
| 589 | REAL(wp) :: n_act !< |
---|
| 590 | REAL(wp) :: n_ccn !< |
---|
| 591 | REAL(wp) :: s_0 !< |
---|
| 592 | REAL(wp) :: sat_max !< |
---|
| 593 | REAL(wp) :: sigma !< |
---|
[2375] | 594 | REAL(wp) :: sigma_act !< |
---|
[2292] | 595 | |
---|
| 596 | CALL cpu_log( log_point_s(65), 'activation', 'start' ) |
---|
| 597 | |
---|
| 598 | DO i = nxlg, nxrg |
---|
| 599 | DO j = nysg, nyng |
---|
| 600 | DO k = nzb+1, nzt |
---|
| 601 | |
---|
| 602 | ! |
---|
[2608] | 603 | !-- Call calculation of supersaturation located |
---|
| 604 | !-- in diagnostic_quantities_mod |
---|
| 605 | CALL supersaturation ( i, j, k ) |
---|
[2292] | 606 | ! |
---|
| 607 | !-- Prescribe parameters for activation |
---|
| 608 | !-- (see: Bott + Trautmann, 2002, Atm. Res., 64) |
---|
[2312] | 609 | k_act = 0.7_wp |
---|
[2522] | 610 | activ = 0.0_wp |
---|
[2292] | 611 | |
---|
[2522] | 612 | |
---|
| 613 | IF ( sat > 0.0 .AND. .NOT. curvature_solution_effects_bulk ) THEN |
---|
[2292] | 614 | ! |
---|
[2312] | 615 | !-- Compute the number of activated Aerosols |
---|
[2292] | 616 | !-- (see: Twomey, 1959, Pure and applied Geophysics, 43) |
---|
| 617 | n_act = na_init * sat**k_act |
---|
| 618 | ! |
---|
| 619 | !-- Compute the number of cloud droplets |
---|
| 620 | !-- (see: Morrison + Grabowski, 2007, JAS, 64) |
---|
| 621 | ! activ = MAX( n_act - nc(k,j,i), 0.0_wp) / dt_micro |
---|
| 622 | |
---|
| 623 | ! |
---|
| 624 | !-- Compute activation rate after Khairoutdinov and Kogan |
---|
[2312] | 625 | !-- (see: Khairoutdinov + Kogan, 2000, Mon. Wea. Rev., 128) |
---|
| 626 | sat_max = 1.0_wp / 100.0_wp |
---|
| 627 | activ = MAX( 0.0_wp, ( (na_init + nc(k,j,i) ) * MIN & |
---|
| 628 | ( 1.0_wp, ( sat / sat_max )**k_act) - nc(k,j,i) ) ) / & |
---|
[2292] | 629 | dt_micro |
---|
[2522] | 630 | ELSEIF ( sat > 0.0 .AND. curvature_solution_effects_bulk ) THEN |
---|
[2292] | 631 | ! |
---|
[2312] | 632 | !-- Curvature effect (afactor) with surface tension |
---|
[2292] | 633 | !-- parameterization by Straka (2009) |
---|
[2608] | 634 | sigma = 0.0761_wp - 0.000155_wp * ( t_l - 273.15_wp ) |
---|
| 635 | afactor = 2.0_wp * sigma / ( rho_l * r_v * t_l ) |
---|
[2292] | 636 | ! |
---|
| 637 | !-- Solute effect (bfactor) |
---|
| 638 | bfactor = vanthoff * molecular_weight_of_water * & |
---|
| 639 | rho_s / ( molecular_weight_of_solute * rho_l ) |
---|
| 640 | |
---|
| 641 | ! |
---|
[2312] | 642 | !-- Prescribe power index that describes the soluble fraction |
---|
[2375] | 643 | !-- of an aerosol particle (beta) |
---|
[2292] | 644 | !-- (see: Morrison + Grabowski, 2007, JAS, 64) |
---|
[2375] | 645 | beta_act = 0.5_wp |
---|
| 646 | sigma_act = sigma_bulk**( 1.0_wp + beta_act ) |
---|
[2292] | 647 | ! |
---|
[2312] | 648 | !-- Calculate mean geometric supersaturation (s_0) with |
---|
[2292] | 649 | !-- parameterization by Khvorostyanov and Curry (2006) |
---|
[2375] | 650 | s_0 = dry_aerosol_radius **(- ( 1.0_wp + beta_act ) ) * & |
---|
[2292] | 651 | ( 4.0_wp * afactor**3 / ( 27.0_wp * bfactor ) )**0.5_wp |
---|
| 652 | |
---|
| 653 | ! |
---|
[2312] | 654 | !-- Calculate number of activated CCN as a function of |
---|
[2292] | 655 | !-- supersaturation and taking Koehler theory into account |
---|
[2312] | 656 | !-- (see: Khvorostyanov + Curry, 2006, J. Geo. Res., 111) |
---|
| 657 | n_ccn = ( na_init / 2.0_wp ) * ( 1.0_wp - ERF( & |
---|
[2375] | 658 | LOG( s_0 / sat ) / ( SQRT(2.0_wp) * LOG(sigma_act) ) ) ) |
---|
[2292] | 659 | activ = MAX( ( n_ccn - nc(k,j,i) ) / dt_micro, 0.0_wp ) |
---|
| 660 | ENDIF |
---|
| 661 | |
---|
| 662 | nc(k,j,i) = MIN( (nc(k,j,i) + activ * dt_micro), na_init) |
---|
| 663 | |
---|
| 664 | ENDDO |
---|
| 665 | ENDDO |
---|
| 666 | ENDDO |
---|
| 667 | |
---|
| 668 | CALL cpu_log( log_point_s(65), 'activation', 'stop' ) |
---|
| 669 | |
---|
| 670 | END SUBROUTINE activation |
---|
| 671 | |
---|
| 672 | |
---|
[1682] | 673 | !------------------------------------------------------------------------------! |
---|
| 674 | ! Description: |
---|
| 675 | ! ------------ |
---|
[2312] | 676 | !> Calculate condensation rate for cloud water content (after Khairoutdinov and |
---|
[2292] | 677 | !> Kogan, 2000). |
---|
| 678 | !------------------------------------------------------------------------------! |
---|
| 679 | SUBROUTINE condensation |
---|
| 680 | |
---|
| 681 | USE arrays_3d, & |
---|
| 682 | ONLY: hyp, nr, pt, q, qc, qr, nc |
---|
| 683 | |
---|
| 684 | USE cloud_parameters, & |
---|
| 685 | ONLY: hyrho, l_d_cp, l_d_r, l_v, r_v, t_d_pt |
---|
| 686 | |
---|
| 687 | USE constants, & |
---|
| 688 | ONLY: pi |
---|
| 689 | |
---|
| 690 | USE cpulog, & |
---|
| 691 | ONLY: cpu_log, log_point_s |
---|
| 692 | |
---|
[2608] | 693 | USE diagnostic_quantities_mod, & |
---|
| 694 | ONLY: e_s, magnus, q_s, sat, supersaturation, t_l |
---|
| 695 | |
---|
[2292] | 696 | USE indices, & |
---|
| 697 | ONLY: nxlg, nxrg, nysg, nyng, nzb, nzt |
---|
| 698 | |
---|
| 699 | USE kinds |
---|
| 700 | |
---|
| 701 | USE control_parameters, & |
---|
| 702 | ONLY: simulated_time |
---|
| 703 | |
---|
| 704 | IMPLICIT NONE |
---|
| 705 | |
---|
| 706 | INTEGER(iwp) :: i !< |
---|
| 707 | INTEGER(iwp) :: j !< |
---|
| 708 | INTEGER(iwp) :: k !< |
---|
| 709 | |
---|
| 710 | REAL(wp) :: cond !< |
---|
| 711 | REAL(wp) :: cond_max !< |
---|
| 712 | REAL(wp) :: dc !< |
---|
| 713 | REAL(wp) :: evap !< |
---|
| 714 | REAL(wp) :: evap_nc !< |
---|
| 715 | REAL(wp) :: g_fac !< |
---|
| 716 | REAL(wp) :: nc_0 !< |
---|
| 717 | REAL(wp) :: temp !< |
---|
| 718 | REAL(wp) :: xc !< |
---|
| 719 | |
---|
| 720 | CALL cpu_log( log_point_s(66), 'condensation', 'start' ) |
---|
| 721 | |
---|
| 722 | DO i = nxlg, nxrg |
---|
| 723 | DO j = nysg, nyng |
---|
| 724 | DO k = nzb+1, nzt |
---|
| 725 | ! |
---|
[2608] | 726 | !-- Call calculation of supersaturation located |
---|
| 727 | !-- in diagnostic_quantities_mod |
---|
| 728 | CALL supersaturation ( i, j, k ) |
---|
[2292] | 729 | ! |
---|
| 730 | !-- Actual temperature: |
---|
| 731 | temp = t_l + l_d_cp * ( qc(k,j,i) + qr(k,j,i) ) |
---|
| 732 | |
---|
| 733 | g_fac = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * & |
---|
| 734 | l_v / ( thermal_conductivity_l * temp ) & |
---|
| 735 | + r_v * temp / ( diff_coeff_l * e_s ) & |
---|
| 736 | ) |
---|
| 737 | ! |
---|
| 738 | !-- Mean weight of cloud drops |
---|
| 739 | IF ( nc(k,j,i) <= 0.0_wp) CYCLE |
---|
[2312] | 740 | xc = MAX( (hyrho(k) * qc(k,j,i) / nc(k,j,i)), xcmin) |
---|
[2292] | 741 | ! |
---|
| 742 | !-- Weight averaged diameter of cloud drops: |
---|
| 743 | dc = ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 744 | ! |
---|
| 745 | !-- Integral diameter of cloud drops |
---|
[2312] | 746 | nc_0 = nc(k,j,i) * dc |
---|
[2292] | 747 | ! |
---|
| 748 | !-- Condensation needs only to be calculated in supersaturated regions |
---|
| 749 | IF ( sat > 0.0_wp ) THEN |
---|
| 750 | ! |
---|
| 751 | !-- Condensation rate of cloud water content |
---|
| 752 | !-- after KK scheme. |
---|
| 753 | !-- (see: Khairoutdinov + Kogan, 2000, Mon. Wea. Rev.,128) |
---|
| 754 | cond = 2.0_wp * pi * nc_0 * g_fac * sat / hyrho(k) |
---|
| 755 | cond_max = q(k,j,i) - q_s - qc(k,j,i) - qr(k,j,i) |
---|
| 756 | cond = MIN( cond, cond_max / dt_micro ) |
---|
[2312] | 757 | |
---|
[2292] | 758 | qc(k,j,i) = qc(k,j,i) + cond * dt_micro |
---|
| 759 | ELSEIF ( sat < 0.0_wp ) THEN |
---|
| 760 | evap = 2.0_wp * pi * nc_0 * g_fac * sat / hyrho(k) |
---|
| 761 | evap = MAX( evap, -qc(k,j,i) / dt_micro ) |
---|
| 762 | |
---|
| 763 | qc(k,j,i) = qc(k,j,i) + evap * dt_micro |
---|
| 764 | ENDIF |
---|
| 765 | IF ( nc(k,j,i) * xcmin > qc(k,j,i) * hyrho(k) ) THEN |
---|
| 766 | nc(k,j,i) = qc(k,j,i) * hyrho(k) / xcmin |
---|
| 767 | ENDIF |
---|
| 768 | ENDDO |
---|
| 769 | ENDDO |
---|
| 770 | ENDDO |
---|
| 771 | |
---|
| 772 | CALL cpu_log( log_point_s(66), 'condensation', 'stop' ) |
---|
| 773 | |
---|
| 774 | END SUBROUTINE condensation |
---|
| 775 | |
---|
| 776 | |
---|
| 777 | !------------------------------------------------------------------------------! |
---|
| 778 | ! Description: |
---|
| 779 | ! ------------ |
---|
[1682] | 780 | !> Autoconversion rate (Seifert and Beheng, 2006). |
---|
| 781 | !------------------------------------------------------------------------------! |
---|
[1000] | 782 | SUBROUTINE autoconversion |
---|
| 783 | |
---|
[1361] | 784 | USE arrays_3d, & |
---|
[2292] | 785 | ONLY: diss, dzu, nc, nr, qc, qr |
---|
[1361] | 786 | |
---|
| 787 | USE cloud_parameters, & |
---|
[1849] | 788 | ONLY: hyrho |
---|
[1361] | 789 | |
---|
| 790 | USE control_parameters, & |
---|
[2292] | 791 | ONLY: microphysics_morrison, rho_surface |
---|
[1361] | 792 | |
---|
| 793 | USE cpulog, & |
---|
| 794 | ONLY: cpu_log, log_point_s |
---|
| 795 | |
---|
| 796 | USE grid_variables, & |
---|
| 797 | ONLY: dx, dy |
---|
| 798 | |
---|
| 799 | USE indices, & |
---|
[2317] | 800 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 801 | |
---|
[1320] | 802 | USE kinds |
---|
[1000] | 803 | |
---|
| 804 | IMPLICIT NONE |
---|
| 805 | |
---|
[1682] | 806 | INTEGER(iwp) :: i !< |
---|
| 807 | INTEGER(iwp) :: j !< |
---|
| 808 | INTEGER(iwp) :: k !< |
---|
[1000] | 809 | |
---|
[2155] | 810 | REAL(wp) :: alpha_cc !< |
---|
[1682] | 811 | REAL(wp) :: autocon !< |
---|
| 812 | REAL(wp) :: dissipation !< |
---|
[2232] | 813 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1682] | 814 | REAL(wp) :: k_au !< |
---|
| 815 | REAL(wp) :: l_mix !< |
---|
[2292] | 816 | REAL(wp) :: nc_auto !< |
---|
[1682] | 817 | REAL(wp) :: nu_c !< |
---|
| 818 | REAL(wp) :: phi_au !< |
---|
| 819 | REAL(wp) :: r_cc !< |
---|
| 820 | REAL(wp) :: rc !< |
---|
| 821 | REAL(wp) :: re_lambda !< |
---|
| 822 | REAL(wp) :: sigma_cc !< |
---|
| 823 | REAL(wp) :: tau_cloud !< |
---|
| 824 | REAL(wp) :: xc !< |
---|
[1361] | 825 | |
---|
| 826 | CALL cpu_log( log_point_s(55), 'autoconversion', 'start' ) |
---|
| 827 | |
---|
[2155] | 828 | DO i = nxlg, nxrg |
---|
| 829 | DO j = nysg, nyng |
---|
[2232] | 830 | DO k = nzb+1, nzt |
---|
| 831 | ! |
---|
| 832 | !-- Predetermine flag to mask topography |
---|
| 833 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1000] | 834 | |
---|
[2292] | 835 | nc_auto = MERGE( nc(k,j,i), nc_const, microphysics_morrison ) |
---|
| 836 | |
---|
[2522] | 837 | IF ( qc(k,j,i) > eps_sb .AND. nc_auto > eps_mr ) THEN |
---|
[1361] | 838 | |
---|
| 839 | k_au = k_cc / ( 20.0_wp * x0 ) |
---|
| 840 | ! |
---|
| 841 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
| 842 | !-- (1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr(k,j,i) )) |
---|
[2522] | 843 | tau_cloud = MAX( 1.0_wp - qc(k,j,i) / ( qr(k,j,i) + & |
---|
| 844 | qc(k,j,i) ), 0.0_wp ) |
---|
[1361] | 845 | ! |
---|
[2155] | 846 | !-- Universal function for autoconversion process |
---|
[1361] | 847 | !-- (Seifert and Beheng, 2006): |
---|
| 848 | phi_au = 600.0_wp * tau_cloud**0.68_wp * & |
---|
| 849 | ( 1.0_wp - tau_cloud**0.68_wp )**3 |
---|
| 850 | ! |
---|
| 851 | !-- Shape parameter of gamma distribution (Geoffroy et al., 2010): |
---|
| 852 | !-- (Use constant nu_c = 1.0_wp instead?) |
---|
| 853 | nu_c = 1.0_wp !MAX( 0.0_wp, 1580.0_wp * hyrho(k) * qc(k,j,i) - 0.28_wp ) |
---|
| 854 | ! |
---|
| 855 | !-- Mean weight of cloud droplets: |
---|
[2522] | 856 | xc = MAX( hyrho(k) * qc(k,j,i) / nc_auto, xcmin) |
---|
[1361] | 857 | ! |
---|
[2155] | 858 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
[1361] | 859 | !-- Nuijens and Stevens, 2010) |
---|
[1831] | 860 | IF ( collision_turbulence ) THEN |
---|
[1361] | 861 | ! |
---|
| 862 | !-- Weight averaged radius of cloud droplets: |
---|
| 863 | rc = 0.5_wp * ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 864 | |
---|
| 865 | alpha_cc = ( a_1 + a_2 * nu_c ) / ( 1.0_wp + a_3 * nu_c ) |
---|
| 866 | r_cc = ( b_1 + b_2 * nu_c ) / ( 1.0_wp + b_3 * nu_c ) |
---|
| 867 | sigma_cc = ( c_1 + c_2 * nu_c ) / ( 1.0_wp + c_3 * nu_c ) |
---|
| 868 | ! |
---|
[2155] | 869 | !-- Mixing length (neglecting distance to ground and |
---|
[1361] | 870 | !-- stratification) |
---|
| 871 | l_mix = ( dx * dy * dzu(k) )**( 1.0_wp / 3.0_wp ) |
---|
| 872 | ! |
---|
[2155] | 873 | !-- Limit dissipation rate according to Seifert, Nuijens and |
---|
[1361] | 874 | !-- Stevens (2010) |
---|
| 875 | dissipation = MIN( 0.06_wp, diss(k,j,i) ) |
---|
| 876 | ! |
---|
| 877 | !-- Compute Taylor-microscale Reynolds number: |
---|
| 878 | re_lambda = 6.0_wp / 11.0_wp * & |
---|
| 879 | ( l_mix / c_const )**( 2.0_wp / 3.0_wp ) * & |
---|
| 880 | SQRT( 15.0_wp / kin_vis_air ) * & |
---|
| 881 | dissipation**( 1.0_wp / 6.0_wp ) |
---|
| 882 | ! |
---|
[2155] | 883 | !-- The factor of 1.0E4 is needed to convert the dissipation |
---|
[1361] | 884 | !-- rate from m2 s-3 to cm2 s-3. |
---|
| 885 | k_au = k_au * ( 1.0_wp + & |
---|
| 886 | dissipation * 1.0E4_wp * & |
---|
| 887 | ( re_lambda * 1.0E-3_wp )**0.25_wp * & |
---|
[2155] | 888 | ( alpha_cc * EXP( -1.0_wp * ( ( rc - & |
---|
[1361] | 889 | r_cc ) / & |
---|
| 890 | sigma_cc )**2 & |
---|
| 891 | ) + beta_cc & |
---|
| 892 | ) & |
---|
| 893 | ) |
---|
| 894 | ENDIF |
---|
| 895 | ! |
---|
| 896 | !-- Autoconversion rate (Seifert and Beheng, 2006): |
---|
| 897 | autocon = k_au * ( nu_c + 2.0_wp ) * ( nu_c + 4.0_wp ) / & |
---|
| 898 | ( nu_c + 1.0_wp )**2 * qc(k,j,i)**2 * xc**2 * & |
---|
| 899 | ( 1.0_wp + phi_au / ( 1.0_wp - tau_cloud )**2 ) * & |
---|
| 900 | rho_surface |
---|
| 901 | autocon = MIN( autocon, qc(k,j,i) / dt_micro ) |
---|
| 902 | |
---|
[2232] | 903 | qr(k,j,i) = qr(k,j,i) + autocon * dt_micro * flag |
---|
| 904 | qc(k,j,i) = qc(k,j,i) - autocon * dt_micro * flag |
---|
| 905 | nr(k,j,i) = nr(k,j,i) + autocon / x0 * hyrho(k) * dt_micro & |
---|
| 906 | * flag |
---|
[2292] | 907 | IF ( microphysics_morrison ) THEN |
---|
[2312] | 908 | nc(k,j,i) = nc(k,j,i) - MIN( nc(k,j,i), 2.0_wp * & |
---|
[2292] | 909 | autocon / x0 * hyrho(k) * dt_micro * flag ) |
---|
| 910 | ENDIF |
---|
[1361] | 911 | |
---|
| 912 | ENDIF |
---|
| 913 | |
---|
[1000] | 914 | ENDDO |
---|
| 915 | ENDDO |
---|
| 916 | ENDDO |
---|
| 917 | |
---|
[1361] | 918 | CALL cpu_log( log_point_s(55), 'autoconversion', 'stop' ) |
---|
| 919 | |
---|
[1000] | 920 | END SUBROUTINE autoconversion |
---|
| 921 | |
---|
[1106] | 922 | |
---|
[1682] | 923 | !------------------------------------------------------------------------------! |
---|
| 924 | ! Description: |
---|
| 925 | ! ------------ |
---|
[1822] | 926 | !> Autoconversion process (Kessler, 1969). |
---|
| 927 | !------------------------------------------------------------------------------! |
---|
| 928 | SUBROUTINE autoconversion_kessler |
---|
| 929 | |
---|
| 930 | USE arrays_3d, & |
---|
[1849] | 931 | ONLY: dzw, pt, prr, q, qc |
---|
[1822] | 932 | |
---|
| 933 | USE cloud_parameters, & |
---|
[1849] | 934 | ONLY: l_d_cp, pt_d_t |
---|
[1822] | 935 | |
---|
| 936 | USE indices, & |
---|
[2317] | 937 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1822] | 938 | |
---|
| 939 | USE kinds |
---|
| 940 | |
---|
[2317] | 941 | USE surface_mod, & |
---|
[2698] | 942 | ONLY: get_topography_top_index_ji |
---|
[1822] | 943 | |
---|
[2317] | 944 | |
---|
[1822] | 945 | IMPLICIT NONE |
---|
| 946 | |
---|
[2232] | 947 | INTEGER(iwp) :: i !< |
---|
| 948 | INTEGER(iwp) :: j !< |
---|
| 949 | INTEGER(iwp) :: k !< |
---|
| 950 | INTEGER(iwp) :: k_wall !< topgraphy top index |
---|
[1822] | 951 | |
---|
| 952 | REAL(wp) :: dqdt_precip !< |
---|
[2232] | 953 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1822] | 954 | |
---|
[2155] | 955 | DO i = nxlg, nxrg |
---|
| 956 | DO j = nysg, nyng |
---|
[2232] | 957 | ! |
---|
| 958 | !-- Determine vertical index of topography top |
---|
[2698] | 959 | k_wall = get_topography_top_index_ji( j, i, 's' ) |
---|
[2232] | 960 | DO k = nzb+1, nzt |
---|
| 961 | ! |
---|
| 962 | !-- Predetermine flag to mask topography |
---|
| 963 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1822] | 964 | |
---|
| 965 | IF ( qc(k,j,i) > ql_crit ) THEN |
---|
| 966 | dqdt_precip = prec_time_const * ( qc(k,j,i) - ql_crit ) |
---|
| 967 | ELSE |
---|
| 968 | dqdt_precip = 0.0_wp |
---|
| 969 | ENDIF |
---|
| 970 | |
---|
[2232] | 971 | qc(k,j,i) = qc(k,j,i) - dqdt_precip * dt_micro * flag |
---|
| 972 | q(k,j,i) = q(k,j,i) - dqdt_precip * dt_micro * flag |
---|
[1845] | 973 | pt(k,j,i) = pt(k,j,i) + dqdt_precip * dt_micro * l_d_cp * & |
---|
[2232] | 974 | pt_d_t(k) * flag |
---|
[1822] | 975 | |
---|
| 976 | ! |
---|
[1845] | 977 | !-- Compute the rain rate (stored on surface grid point) |
---|
[2232] | 978 | prr(k_wall,j,i) = prr(k_wall,j,i) + dqdt_precip * dzw(k) * flag |
---|
[1822] | 979 | |
---|
| 980 | ENDDO |
---|
| 981 | ENDDO |
---|
| 982 | ENDDO |
---|
| 983 | |
---|
| 984 | END SUBROUTINE autoconversion_kessler |
---|
| 985 | |
---|
| 986 | |
---|
| 987 | !------------------------------------------------------------------------------! |
---|
| 988 | ! Description: |
---|
| 989 | ! ------------ |
---|
[1682] | 990 | !> Accretion rate (Seifert and Beheng, 2006). |
---|
| 991 | !------------------------------------------------------------------------------! |
---|
[1005] | 992 | SUBROUTINE accretion |
---|
[1000] | 993 | |
---|
[1361] | 994 | USE arrays_3d, & |
---|
[2292] | 995 | ONLY: diss, qc, qr, nc |
---|
[1361] | 996 | |
---|
| 997 | USE cloud_parameters, & |
---|
[1849] | 998 | ONLY: hyrho |
---|
[1361] | 999 | |
---|
| 1000 | USE control_parameters, & |
---|
[2292] | 1001 | ONLY: microphysics_morrison, rho_surface |
---|
[1361] | 1002 | |
---|
| 1003 | USE cpulog, & |
---|
| 1004 | ONLY: cpu_log, log_point_s |
---|
| 1005 | |
---|
| 1006 | USE indices, & |
---|
[2317] | 1007 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 1008 | |
---|
[1320] | 1009 | USE kinds |
---|
[1005] | 1010 | |
---|
[1000] | 1011 | IMPLICIT NONE |
---|
| 1012 | |
---|
[1682] | 1013 | INTEGER(iwp) :: i !< |
---|
| 1014 | INTEGER(iwp) :: j !< |
---|
| 1015 | INTEGER(iwp) :: k !< |
---|
[1000] | 1016 | |
---|
[1682] | 1017 | REAL(wp) :: accr !< |
---|
[2232] | 1018 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1682] | 1019 | REAL(wp) :: k_cr !< |
---|
[2292] | 1020 | REAL(wp) :: nc_accr !< |
---|
[1682] | 1021 | REAL(wp) :: phi_ac !< |
---|
| 1022 | REAL(wp) :: tau_cloud !< |
---|
[2292] | 1023 | REAL(wp) :: xc !< |
---|
[1361] | 1024 | |
---|
[2292] | 1025 | |
---|
[1361] | 1026 | CALL cpu_log( log_point_s(56), 'accretion', 'start' ) |
---|
| 1027 | |
---|
[2155] | 1028 | DO i = nxlg, nxrg |
---|
| 1029 | DO j = nysg, nyng |
---|
[2232] | 1030 | DO k = nzb+1, nzt |
---|
| 1031 | ! |
---|
| 1032 | !-- Predetermine flag to mask topography |
---|
| 1033 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1000] | 1034 | |
---|
[2292] | 1035 | nc_accr = MERGE( nc(k,j,i), nc_const, microphysics_morrison ) |
---|
| 1036 | |
---|
| 1037 | IF ( ( qc(k,j,i) > eps_sb ) .AND. ( qr(k,j,i) > eps_sb ) & |
---|
| 1038 | .AND. ( nc_accr > eps_mr ) ) THEN |
---|
[1361] | 1039 | ! |
---|
| 1040 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
[2155] | 1041 | tau_cloud = 1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr(k,j,i) ) |
---|
[1361] | 1042 | ! |
---|
[2155] | 1043 | !-- Universal function for accretion process (Seifert and |
---|
[1361] | 1044 | !-- Beheng, 2001): |
---|
| 1045 | phi_ac = ( tau_cloud / ( tau_cloud + 5.0E-5_wp ) )**4 |
---|
[2292] | 1046 | |
---|
[1361] | 1047 | ! |
---|
[2292] | 1048 | !-- Mean weight of cloud drops |
---|
[2312] | 1049 | xc = MAX( (hyrho(k) * qc(k,j,i) / nc_accr), xcmin) |
---|
[2292] | 1050 | ! |
---|
[2155] | 1051 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
| 1052 | !-- Nuijens and Stevens, 2010). The factor of 1.0E4 is needed to |
---|
[1361] | 1053 | !-- convert the dissipation rate (diss) from m2 s-3 to cm2 s-3. |
---|
[1831] | 1054 | IF ( collision_turbulence ) THEN |
---|
[1361] | 1055 | k_cr = k_cr0 * ( 1.0_wp + 0.05_wp * & |
---|
| 1056 | MIN( 600.0_wp, & |
---|
| 1057 | diss(k,j,i) * 1.0E4_wp )**0.25_wp & |
---|
| 1058 | ) |
---|
| 1059 | ELSE |
---|
[2155] | 1060 | k_cr = k_cr0 |
---|
[1361] | 1061 | ENDIF |
---|
| 1062 | ! |
---|
| 1063 | !-- Accretion rate (Seifert and Beheng, 2006): |
---|
| 1064 | accr = k_cr * qc(k,j,i) * qr(k,j,i) * phi_ac * & |
---|
| 1065 | SQRT( rho_surface * hyrho(k) ) |
---|
| 1066 | accr = MIN( accr, qc(k,j,i) / dt_micro ) |
---|
| 1067 | |
---|
[2232] | 1068 | qr(k,j,i) = qr(k,j,i) + accr * dt_micro * flag |
---|
| 1069 | qc(k,j,i) = qc(k,j,i) - accr * dt_micro * flag |
---|
[2292] | 1070 | IF ( microphysics_morrison ) THEN |
---|
| 1071 | nc(k,j,i) = nc(k,j,i) - MIN( nc(k,j,i), & |
---|
| 1072 | accr / xc * hyrho(k) * dt_micro * flag) |
---|
| 1073 | ENDIF |
---|
[1361] | 1074 | |
---|
| 1075 | ENDIF |
---|
| 1076 | |
---|
[1005] | 1077 | ENDDO |
---|
| 1078 | ENDDO |
---|
[1000] | 1079 | ENDDO |
---|
| 1080 | |
---|
[1361] | 1081 | CALL cpu_log( log_point_s(56), 'accretion', 'stop' ) |
---|
| 1082 | |
---|
[1005] | 1083 | END SUBROUTINE accretion |
---|
[1000] | 1084 | |
---|
[1106] | 1085 | |
---|
[1682] | 1086 | !------------------------------------------------------------------------------! |
---|
| 1087 | ! Description: |
---|
| 1088 | ! ------------ |
---|
| 1089 | !> Collisional breakup rate (Seifert, 2008). |
---|
| 1090 | !------------------------------------------------------------------------------! |
---|
[1005] | 1091 | SUBROUTINE selfcollection_breakup |
---|
[1000] | 1092 | |
---|
[1361] | 1093 | USE arrays_3d, & |
---|
| 1094 | ONLY: nr, qr |
---|
| 1095 | |
---|
| 1096 | USE cloud_parameters, & |
---|
[1849] | 1097 | ONLY: hyrho |
---|
[1361] | 1098 | |
---|
| 1099 | USE control_parameters, & |
---|
[1849] | 1100 | ONLY: rho_surface |
---|
[1361] | 1101 | |
---|
| 1102 | USE cpulog, & |
---|
| 1103 | ONLY: cpu_log, log_point_s |
---|
| 1104 | |
---|
| 1105 | USE indices, & |
---|
[2317] | 1106 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 1107 | |
---|
[1320] | 1108 | USE kinds |
---|
[2155] | 1109 | |
---|
[1000] | 1110 | IMPLICIT NONE |
---|
| 1111 | |
---|
[1682] | 1112 | INTEGER(iwp) :: i !< |
---|
| 1113 | INTEGER(iwp) :: j !< |
---|
| 1114 | INTEGER(iwp) :: k !< |
---|
[1000] | 1115 | |
---|
[1682] | 1116 | REAL(wp) :: breakup !< |
---|
| 1117 | REAL(wp) :: dr !< |
---|
[2232] | 1118 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1682] | 1119 | REAL(wp) :: phi_br !< |
---|
| 1120 | REAL(wp) :: selfcoll !< |
---|
[1361] | 1121 | |
---|
| 1122 | CALL cpu_log( log_point_s(57), 'selfcollection', 'start' ) |
---|
| 1123 | |
---|
[2155] | 1124 | DO i = nxlg, nxrg |
---|
| 1125 | DO j = nysg, nyng |
---|
[2232] | 1126 | DO k = nzb+1, nzt |
---|
| 1127 | ! |
---|
| 1128 | !-- Predetermine flag to mask topography |
---|
| 1129 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1130 | |
---|
[1361] | 1131 | IF ( qr(k,j,i) > eps_sb ) THEN |
---|
| 1132 | ! |
---|
| 1133 | !-- Selfcollection rate (Seifert and Beheng, 2001): |
---|
| 1134 | selfcoll = k_rr * nr(k,j,i) * qr(k,j,i) * & |
---|
| 1135 | SQRT( hyrho(k) * rho_surface ) |
---|
| 1136 | ! |
---|
| 1137 | !-- Weight averaged diameter of rain drops: |
---|
| 1138 | dr = ( hyrho(k) * qr(k,j,i) / & |
---|
| 1139 | nr(k,j,i) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 1140 | ! |
---|
| 1141 | !-- Collisional breakup rate (Seifert, 2008): |
---|
| 1142 | IF ( dr >= 0.3E-3_wp ) THEN |
---|
| 1143 | phi_br = k_br * ( dr - 1.1E-3_wp ) |
---|
| 1144 | breakup = selfcoll * ( phi_br + 1.0_wp ) |
---|
| 1145 | ELSE |
---|
| 1146 | breakup = 0.0_wp |
---|
| 1147 | ENDIF |
---|
[1000] | 1148 | |
---|
[1361] | 1149 | selfcoll = MAX( breakup - selfcoll, -nr(k,j,i) / dt_micro ) |
---|
[2232] | 1150 | nr(k,j,i) = nr(k,j,i) + selfcoll * dt_micro * flag |
---|
[1361] | 1151 | |
---|
[2155] | 1152 | ENDIF |
---|
[1000] | 1153 | ENDDO |
---|
| 1154 | ENDDO |
---|
| 1155 | ENDDO |
---|
| 1156 | |
---|
[1361] | 1157 | CALL cpu_log( log_point_s(57), 'selfcollection', 'stop' ) |
---|
| 1158 | |
---|
[1005] | 1159 | END SUBROUTINE selfcollection_breakup |
---|
[1000] | 1160 | |
---|
[1106] | 1161 | |
---|
[1682] | 1162 | !------------------------------------------------------------------------------! |
---|
| 1163 | ! Description: |
---|
| 1164 | ! ------------ |
---|
[2155] | 1165 | !> Evaporation of precipitable water. Condensation is neglected for |
---|
[1682] | 1166 | !> precipitable water. |
---|
| 1167 | !------------------------------------------------------------------------------! |
---|
[1012] | 1168 | SUBROUTINE evaporation_rain |
---|
[1000] | 1169 | |
---|
[1361] | 1170 | USE arrays_3d, & |
---|
| 1171 | ONLY: hyp, nr, pt, q, qc, qr |
---|
| 1172 | |
---|
| 1173 | USE cloud_parameters, & |
---|
[1849] | 1174 | ONLY: hyrho, l_d_cp, l_d_r, l_v, r_v, t_d_pt |
---|
[1361] | 1175 | |
---|
| 1176 | USE constants, & |
---|
| 1177 | ONLY: pi |
---|
| 1178 | |
---|
| 1179 | USE cpulog, & |
---|
| 1180 | ONLY: cpu_log, log_point_s |
---|
| 1181 | |
---|
[2608] | 1182 | USE diagnostic_quantities_mod, & |
---|
| 1183 | ONLY: e_s, magnus, q_s, sat, supersaturation, t_l |
---|
| 1184 | |
---|
[1361] | 1185 | USE indices, & |
---|
[2317] | 1186 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 1187 | |
---|
[1320] | 1188 | USE kinds |
---|
[1012] | 1189 | |
---|
| 1190 | IMPLICIT NONE |
---|
| 1191 | |
---|
[1682] | 1192 | INTEGER(iwp) :: i !< |
---|
| 1193 | INTEGER(iwp) :: j !< |
---|
| 1194 | INTEGER(iwp) :: k !< |
---|
[1361] | 1195 | |
---|
[1682] | 1196 | REAL(wp) :: dr !< |
---|
| 1197 | REAL(wp) :: evap !< |
---|
| 1198 | REAL(wp) :: evap_nr !< |
---|
| 1199 | REAL(wp) :: f_vent !< |
---|
[2232] | 1200 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1682] | 1201 | REAL(wp) :: g_evap !< |
---|
| 1202 | REAL(wp) :: lambda_r !< |
---|
| 1203 | REAL(wp) :: mu_r !< |
---|
| 1204 | REAL(wp) :: mu_r_2 !< |
---|
| 1205 | REAL(wp) :: mu_r_5d2 !< |
---|
| 1206 | REAL(wp) :: nr_0 !< |
---|
| 1207 | REAL(wp) :: temp !< |
---|
| 1208 | REAL(wp) :: xr !< |
---|
[1361] | 1209 | |
---|
| 1210 | CALL cpu_log( log_point_s(58), 'evaporation', 'start' ) |
---|
| 1211 | |
---|
[2155] | 1212 | DO i = nxlg, nxrg |
---|
| 1213 | DO j = nysg, nyng |
---|
[2232] | 1214 | DO k = nzb+1, nzt |
---|
| 1215 | ! |
---|
| 1216 | !-- Predetermine flag to mask topography |
---|
| 1217 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1218 | |
---|
[1361] | 1219 | IF ( qr(k,j,i) > eps_sb ) THEN |
---|
[2608] | 1220 | |
---|
[1361] | 1221 | ! |
---|
[2608] | 1222 | !-- Call calculation of supersaturation located |
---|
| 1223 | !-- in diagnostic_quantities_mod |
---|
| 1224 | CALL supersaturation ( i, j, k ) |
---|
[1361] | 1225 | ! |
---|
| 1226 | !-- Evaporation needs only to be calculated in subsaturated regions |
---|
| 1227 | IF ( sat < 0.0_wp ) THEN |
---|
| 1228 | ! |
---|
| 1229 | !-- Actual temperature: |
---|
| 1230 | temp = t_l + l_d_cp * ( qc(k,j,i) + qr(k,j,i) ) |
---|
[2155] | 1231 | |
---|
[1361] | 1232 | g_evap = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * & |
---|
| 1233 | l_v / ( thermal_conductivity_l * temp ) & |
---|
| 1234 | + r_v * temp / ( diff_coeff_l * e_s ) & |
---|
| 1235 | ) |
---|
| 1236 | ! |
---|
| 1237 | !-- Mean weight of rain drops |
---|
| 1238 | xr = hyrho(k) * qr(k,j,i) / nr(k,j,i) |
---|
| 1239 | ! |
---|
| 1240 | !-- Weight averaged diameter of rain drops: |
---|
| 1241 | dr = ( xr * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 1242 | ! |
---|
[2155] | 1243 | !-- Compute ventilation factor and intercept parameter |
---|
[1361] | 1244 | !-- (Seifert and Beheng, 2006; Seifert, 2008): |
---|
| 1245 | IF ( ventilation_effect ) THEN |
---|
| 1246 | ! |
---|
[2155] | 1247 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, |
---|
[1361] | 1248 | !-- 2005; Stevens and Seifert, 2008): |
---|
| 1249 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * & |
---|
| 1250 | ( dr - 1.4E-3_wp ) ) ) |
---|
| 1251 | ! |
---|
| 1252 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
| 1253 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
---|
| 1254 | ( mu_r + 1.0_wp ) & |
---|
| 1255 | )**( 1.0_wp / 3.0_wp ) / dr |
---|
[1012] | 1256 | |
---|
[1361] | 1257 | mu_r_2 = mu_r + 2.0_wp |
---|
[2155] | 1258 | mu_r_5d2 = mu_r + 2.5_wp |
---|
[1361] | 1259 | |
---|
| 1260 | f_vent = a_vent * gamm( mu_r_2 ) * & |
---|
| 1261 | lambda_r**( -mu_r_2 ) + b_vent * & |
---|
| 1262 | schmidt_p_1d3 * SQRT( a_term / kin_vis_air ) *& |
---|
| 1263 | gamm( mu_r_5d2 ) * lambda_r**( -mu_r_5d2 ) * & |
---|
| 1264 | ( 1.0_wp - & |
---|
| 1265 | 0.5_wp * ( b_term / a_term ) * & |
---|
| 1266 | ( lambda_r / ( c_term + lambda_r ) & |
---|
| 1267 | )**mu_r_5d2 - & |
---|
| 1268 | 0.125_wp * ( b_term / a_term )**2 * & |
---|
| 1269 | ( lambda_r / ( 2.0_wp * c_term + lambda_r ) & |
---|
| 1270 | )**mu_r_5d2 - & |
---|
| 1271 | 0.0625_wp * ( b_term / a_term )**3 * & |
---|
| 1272 | ( lambda_r / ( 3.0_wp * c_term + lambda_r ) & |
---|
| 1273 | )**mu_r_5d2 - & |
---|
[2155] | 1274 | 0.0390625_wp * ( b_term / a_term )**4 * & |
---|
[1361] | 1275 | ( lambda_r / ( 4.0_wp * c_term + lambda_r ) & |
---|
| 1276 | )**mu_r_5d2 & |
---|
| 1277 | ) |
---|
| 1278 | |
---|
| 1279 | nr_0 = nr(k,j,i) * lambda_r**( mu_r + 1.0_wp ) / & |
---|
[2155] | 1280 | gamm( mu_r + 1.0_wp ) |
---|
[1361] | 1281 | ELSE |
---|
| 1282 | f_vent = 1.0_wp |
---|
| 1283 | nr_0 = nr(k,j,i) * dr |
---|
| 1284 | ENDIF |
---|
| 1285 | ! |
---|
[2155] | 1286 | !-- Evaporation rate of rain water content (Seifert and |
---|
[1361] | 1287 | !-- Beheng, 2006): |
---|
| 1288 | evap = 2.0_wp * pi * nr_0 * g_evap * f_vent * sat / & |
---|
| 1289 | hyrho(k) |
---|
| 1290 | evap = MAX( evap, -qr(k,j,i) / dt_micro ) |
---|
| 1291 | evap_nr = MAX( c_evap * evap / xr * hyrho(k), & |
---|
| 1292 | -nr(k,j,i) / dt_micro ) |
---|
| 1293 | |
---|
[2232] | 1294 | qr(k,j,i) = qr(k,j,i) + evap * dt_micro * flag |
---|
| 1295 | nr(k,j,i) = nr(k,j,i) + evap_nr * dt_micro * flag |
---|
[1361] | 1296 | |
---|
| 1297 | ENDIF |
---|
[2155] | 1298 | ENDIF |
---|
[1361] | 1299 | |
---|
[1012] | 1300 | ENDDO |
---|
| 1301 | ENDDO |
---|
| 1302 | ENDDO |
---|
| 1303 | |
---|
[1361] | 1304 | CALL cpu_log( log_point_s(58), 'evaporation', 'stop' ) |
---|
| 1305 | |
---|
[1012] | 1306 | END SUBROUTINE evaporation_rain |
---|
| 1307 | |
---|
[1106] | 1308 | |
---|
[1682] | 1309 | !------------------------------------------------------------------------------! |
---|
| 1310 | ! Description: |
---|
| 1311 | ! ------------ |
---|
| 1312 | !> Sedimentation of cloud droplets (Ackermann et al., 2009, MWR). |
---|
| 1313 | !------------------------------------------------------------------------------! |
---|
[1012] | 1314 | SUBROUTINE sedimentation_cloud |
---|
| 1315 | |
---|
[1361] | 1316 | USE arrays_3d, & |
---|
[2292] | 1317 | ONLY: ddzu, dzu, nc, pt, prr, q, qc |
---|
[1361] | 1318 | |
---|
| 1319 | USE cloud_parameters, & |
---|
[1849] | 1320 | ONLY: hyrho, l_d_cp, pt_d_t |
---|
[1361] | 1321 | |
---|
| 1322 | USE control_parameters, & |
---|
[2312] | 1323 | ONLY: call_microphysics_at_all_substeps, & |
---|
[2292] | 1324 | intermediate_timestep_count, microphysics_morrison |
---|
[1361] | 1325 | |
---|
| 1326 | USE cpulog, & |
---|
| 1327 | ONLY: cpu_log, log_point_s |
---|
| 1328 | |
---|
| 1329 | USE indices, & |
---|
[2317] | 1330 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 1331 | |
---|
[1320] | 1332 | USE kinds |
---|
[1691] | 1333 | |
---|
| 1334 | USE statistics, & |
---|
| 1335 | ONLY: weight_substep |
---|
| 1336 | |
---|
[2155] | 1337 | |
---|
[1012] | 1338 | IMPLICIT NONE |
---|
| 1339 | |
---|
[1849] | 1340 | INTEGER(iwp) :: i !< |
---|
| 1341 | INTEGER(iwp) :: j !< |
---|
| 1342 | INTEGER(iwp) :: k !< |
---|
[1361] | 1343 | |
---|
[2292] | 1344 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
| 1345 | REAL(wp) :: nc_sedi !< |
---|
| 1346 | |
---|
[2232] | 1347 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qc !< |
---|
[2292] | 1348 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nc !< |
---|
[1361] | 1349 | |
---|
[2292] | 1350 | |
---|
[1361] | 1351 | CALL cpu_log( log_point_s(59), 'sed_cloud', 'start' ) |
---|
| 1352 | |
---|
| 1353 | sed_qc(nzt+1) = 0.0_wp |
---|
[2375] | 1354 | sed_nc(nzt+1) = 0.0_wp |
---|
[1361] | 1355 | |
---|
[2155] | 1356 | DO i = nxlg, nxrg |
---|
| 1357 | DO j = nysg, nyng |
---|
[2232] | 1358 | DO k = nzt, nzb+1, -1 |
---|
| 1359 | ! |
---|
| 1360 | !-- Predetermine flag to mask topography |
---|
| 1361 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[2292] | 1362 | nc_sedi = MERGE ( nc(k,j,i), nc_const, microphysics_morrison ) |
---|
[1012] | 1363 | |
---|
[2292] | 1364 | ! |
---|
| 1365 | !-- Sedimentation fluxes for number concentration are only calculated |
---|
| 1366 | !-- for cloud_scheme = 'morrison' |
---|
| 1367 | IF ( microphysics_morrison ) THEN |
---|
| 1368 | IF ( qc(k,j,i) > eps_sb .AND. nc(k,j,i) > eps_mr ) THEN |
---|
[2312] | 1369 | sed_nc(k) = sed_qc_const * & |
---|
[2292] | 1370 | ( qc(k,j,i) * hyrho(k) )**( 2.0_wp / 3.0_wp ) * & |
---|
| 1371 | ( nc(k,j,i) )**( 1.0_wp / 3.0_wp ) |
---|
| 1372 | ELSE |
---|
| 1373 | sed_nc(k) = 0.0_wp |
---|
| 1374 | ENDIF |
---|
| 1375 | |
---|
| 1376 | sed_nc(k) = MIN( sed_nc(k), hyrho(k) * dzu(k+1) * & |
---|
| 1377 | nc(k,j,i) / dt_micro + sed_nc(k+1) & |
---|
| 1378 | ) * flag |
---|
| 1379 | |
---|
| 1380 | nc(k,j,i) = nc(k,j,i) + ( sed_nc(k+1) - sed_nc(k) ) * & |
---|
| 1381 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
| 1382 | ENDIF |
---|
| 1383 | |
---|
[2375] | 1384 | IF ( qc(k,j,i) > eps_sb .AND. nc_sedi > eps_mr ) THEN |
---|
[2292] | 1385 | sed_qc(k) = sed_qc_const * nc_sedi**( -2.0_wp / 3.0_wp ) * & |
---|
[2232] | 1386 | ( qc(k,j,i) * hyrho(k) )**( 5.0_wp / 3.0_wp ) * & |
---|
| 1387 | flag |
---|
[1361] | 1388 | ELSE |
---|
| 1389 | sed_qc(k) = 0.0_wp |
---|
| 1390 | ENDIF |
---|
| 1391 | |
---|
| 1392 | sed_qc(k) = MIN( sed_qc(k), hyrho(k) * dzu(k+1) * q(k,j,i) / & |
---|
| 1393 | dt_micro + sed_qc(k+1) & |
---|
[2232] | 1394 | ) * flag |
---|
[1361] | 1395 | |
---|
| 1396 | q(k,j,i) = q(k,j,i) + ( sed_qc(k+1) - sed_qc(k) ) * & |
---|
[2232] | 1397 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
[1361] | 1398 | qc(k,j,i) = qc(k,j,i) + ( sed_qc(k+1) - sed_qc(k) ) * & |
---|
[2232] | 1399 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
[1361] | 1400 | pt(k,j,i) = pt(k,j,i) - ( sed_qc(k+1) - sed_qc(k) ) * & |
---|
| 1401 | ddzu(k+1) / hyrho(k) * l_d_cp * & |
---|
[2232] | 1402 | pt_d_t(k) * dt_micro * flag |
---|
[1361] | 1403 | |
---|
[1691] | 1404 | ! |
---|
| 1405 | !-- Compute the precipitation rate due to cloud (fog) droplets |
---|
[1822] | 1406 | IF ( call_microphysics_at_all_substeps ) THEN |
---|
| 1407 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) & |
---|
[2232] | 1408 | * weight_substep(intermediate_timestep_count) & |
---|
| 1409 | * flag |
---|
[1822] | 1410 | ELSE |
---|
[2232] | 1411 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) * flag |
---|
[1691] | 1412 | ENDIF |
---|
| 1413 | |
---|
[1012] | 1414 | ENDDO |
---|
| 1415 | ENDDO |
---|
| 1416 | ENDDO |
---|
| 1417 | |
---|
[1361] | 1418 | CALL cpu_log( log_point_s(59), 'sed_cloud', 'stop' ) |
---|
| 1419 | |
---|
[1012] | 1420 | END SUBROUTINE sedimentation_cloud |
---|
| 1421 | |
---|
[1106] | 1422 | |
---|
[1682] | 1423 | !------------------------------------------------------------------------------! |
---|
| 1424 | ! Description: |
---|
| 1425 | ! ------------ |
---|
| 1426 | !> Computation of sedimentation flux. Implementation according to Stevens |
---|
| 1427 | !> and Seifert (2008). Code is based on UCLA-LES. |
---|
| 1428 | !------------------------------------------------------------------------------! |
---|
[1012] | 1429 | SUBROUTINE sedimentation_rain |
---|
| 1430 | |
---|
[1361] | 1431 | USE arrays_3d, & |
---|
[1849] | 1432 | ONLY: ddzu, dzu, nr, pt, prr, q, qr |
---|
[1361] | 1433 | |
---|
| 1434 | USE cloud_parameters, & |
---|
[1849] | 1435 | ONLY: hyrho, l_d_cp, pt_d_t |
---|
[1361] | 1436 | |
---|
| 1437 | USE control_parameters, & |
---|
[1849] | 1438 | ONLY: call_microphysics_at_all_substeps, intermediate_timestep_count |
---|
[1361] | 1439 | USE cpulog, & |
---|
| 1440 | ONLY: cpu_log, log_point_s |
---|
| 1441 | |
---|
| 1442 | USE indices, & |
---|
[2317] | 1443 | ONLY: nxlg, nxrg, nyng, nysg, nzb, nzt, wall_flags_0 |
---|
[1361] | 1444 | |
---|
[1320] | 1445 | USE kinds |
---|
[1012] | 1446 | |
---|
[1361] | 1447 | USE statistics, & |
---|
| 1448 | ONLY: weight_substep |
---|
[2155] | 1449 | |
---|
[2232] | 1450 | USE surface_mod, & |
---|
| 1451 | ONLY : bc_h |
---|
[2312] | 1452 | |
---|
[1012] | 1453 | IMPLICIT NONE |
---|
| 1454 | |
---|
[2232] | 1455 | INTEGER(iwp) :: i !< running index x direction |
---|
| 1456 | INTEGER(iwp) :: j !< running index y direction |
---|
| 1457 | INTEGER(iwp) :: k !< running index z direction |
---|
[2312] | 1458 | INTEGER(iwp) :: k_run !< |
---|
[2232] | 1459 | INTEGER(iwp) :: l !< running index of surface type |
---|
| 1460 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 1461 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
| 1462 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
[1361] | 1463 | |
---|
[1682] | 1464 | REAL(wp) :: c_run !< |
---|
| 1465 | REAL(wp) :: d_max !< |
---|
| 1466 | REAL(wp) :: d_mean !< |
---|
| 1467 | REAL(wp) :: d_min !< |
---|
| 1468 | REAL(wp) :: dr !< |
---|
| 1469 | REAL(wp) :: flux !< |
---|
[2232] | 1470 | REAL(wp) :: flag !< flag to mask topography grid points |
---|
[1682] | 1471 | REAL(wp) :: lambda_r !< |
---|
| 1472 | REAL(wp) :: mu_r !< |
---|
| 1473 | REAL(wp) :: z_run !< |
---|
[1361] | 1474 | |
---|
[1682] | 1475 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_nr !< |
---|
| 1476 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_qr !< |
---|
| 1477 | REAL(wp), DIMENSION(nzb:nzt+1) :: nr_slope !< |
---|
| 1478 | REAL(wp), DIMENSION(nzb:nzt+1) :: qr_slope !< |
---|
| 1479 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nr !< |
---|
| 1480 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qr !< |
---|
| 1481 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_nr !< |
---|
| 1482 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_qr !< |
---|
[1361] | 1483 | |
---|
| 1484 | CALL cpu_log( log_point_s(60), 'sed_rain', 'start' ) |
---|
[1682] | 1485 | |
---|
[1361] | 1486 | ! |
---|
[2155] | 1487 | !-- Compute velocities |
---|
| 1488 | DO i = nxlg, nxrg |
---|
| 1489 | DO j = nysg, nyng |
---|
[2232] | 1490 | DO k = nzb+1, nzt |
---|
| 1491 | ! |
---|
| 1492 | !-- Predetermine flag to mask topography |
---|
| 1493 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1494 | |
---|
[1361] | 1495 | IF ( qr(k,j,i) > eps_sb ) THEN |
---|
| 1496 | ! |
---|
| 1497 | !-- Weight averaged diameter of rain drops: |
---|
| 1498 | dr = ( hyrho(k) * qr(k,j,i) / & |
---|
| 1499 | nr(k,j,i) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 1500 | ! |
---|
| 1501 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
---|
| 1502 | !-- Stevens and Seifert, 2008): |
---|
| 1503 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * & |
---|
| 1504 | ( dr - 1.4E-3_wp ) ) ) |
---|
| 1505 | ! |
---|
| 1506 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
| 1507 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
---|
| 1508 | ( mu_r + 1.0_wp ) )**( 1.0_wp / 3.0_wp ) / dr |
---|
[1012] | 1509 | |
---|
[1361] | 1510 | w_nr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
---|
| 1511 | a_term - b_term * ( 1.0_wp + & |
---|
| 1512 | c_term / & |
---|
| 1513 | lambda_r )**( -1.0_wp * & |
---|
| 1514 | ( mu_r + 1.0_wp ) ) & |
---|
| 1515 | ) & |
---|
[2232] | 1516 | ) * flag |
---|
[1361] | 1517 | |
---|
| 1518 | w_qr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
---|
| 1519 | a_term - b_term * ( 1.0_wp + & |
---|
| 1520 | c_term / & |
---|
| 1521 | lambda_r )**( -1.0_wp * & |
---|
| 1522 | ( mu_r + 4.0_wp ) ) & |
---|
| 1523 | ) & |
---|
[2232] | 1524 | ) * flag |
---|
[1361] | 1525 | ELSE |
---|
| 1526 | w_nr(k) = 0.0_wp |
---|
| 1527 | w_qr(k) = 0.0_wp |
---|
| 1528 | ENDIF |
---|
[1012] | 1529 | ENDDO |
---|
[1361] | 1530 | ! |
---|
[2312] | 1531 | !-- Adjust boundary values using surface data type. |
---|
[2232] | 1532 | !-- Upward-facing |
---|
[2312] | 1533 | surf_s = bc_h(0)%start_index(j,i) |
---|
[2232] | 1534 | surf_e = bc_h(0)%end_index(j,i) |
---|
| 1535 | DO m = surf_s, surf_e |
---|
| 1536 | k = bc_h(0)%k(m) |
---|
| 1537 | w_nr(k-1) = w_nr(k) |
---|
| 1538 | w_qr(k-1) = w_qr(k) |
---|
| 1539 | ENDDO |
---|
| 1540 | ! |
---|
| 1541 | !-- Downward-facing |
---|
[2312] | 1542 | surf_s = bc_h(1)%start_index(j,i) |
---|
[2232] | 1543 | surf_e = bc_h(1)%end_index(j,i) |
---|
| 1544 | DO m = surf_s, surf_e |
---|
| 1545 | k = bc_h(1)%k(m) |
---|
| 1546 | w_nr(k+1) = w_nr(k) |
---|
| 1547 | w_qr(k+1) = w_qr(k) |
---|
| 1548 | ENDDO |
---|
| 1549 | ! |
---|
| 1550 | !-- Model top boundary value |
---|
[1361] | 1551 | w_nr(nzt+1) = 0.0_wp |
---|
| 1552 | w_qr(nzt+1) = 0.0_wp |
---|
| 1553 | ! |
---|
| 1554 | !-- Compute Courant number |
---|
[2232] | 1555 | DO k = nzb+1, nzt |
---|
| 1556 | ! |
---|
| 1557 | !-- Predetermine flag to mask topography |
---|
| 1558 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1559 | |
---|
[1361] | 1560 | c_nr(k) = 0.25_wp * ( w_nr(k-1) + & |
---|
| 1561 | 2.0_wp * w_nr(k) + w_nr(k+1) ) * & |
---|
[2232] | 1562 | dt_micro * ddzu(k) * flag |
---|
[1361] | 1563 | c_qr(k) = 0.25_wp * ( w_qr(k-1) + & |
---|
| 1564 | 2.0_wp * w_qr(k) + w_qr(k+1) ) * & |
---|
[2232] | 1565 | dt_micro * ddzu(k) * flag |
---|
[2155] | 1566 | ENDDO |
---|
[1361] | 1567 | ! |
---|
| 1568 | !-- Limit slopes with monotonized centered (MC) limiter (van Leer, 1977): |
---|
| 1569 | IF ( limiter_sedimentation ) THEN |
---|
| 1570 | |
---|
[2232] | 1571 | DO k = nzb+1, nzt |
---|
| 1572 | ! |
---|
| 1573 | !-- Predetermine flag to mask topography |
---|
| 1574 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1575 | |
---|
[1646] | 1576 | d_mean = 0.5_wp * ( qr(k+1,j,i) - qr(k-1,j,i) ) |
---|
[1361] | 1577 | d_min = qr(k,j,i) - MIN( qr(k+1,j,i), qr(k,j,i), qr(k-1,j,i) ) |
---|
| 1578 | d_max = MAX( qr(k+1,j,i), qr(k,j,i), qr(k-1,j,i) ) - qr(k,j,i) |
---|
| 1579 | |
---|
| 1580 | qr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
---|
| 1581 | 2.0_wp * d_max, & |
---|
[2232] | 1582 | ABS( d_mean ) ) & |
---|
| 1583 | * flag |
---|
[1361] | 1584 | |
---|
[1646] | 1585 | d_mean = 0.5_wp * ( nr(k+1,j,i) - nr(k-1,j,i) ) |
---|
[1361] | 1586 | d_min = nr(k,j,i) - MIN( nr(k+1,j,i), nr(k,j,i), nr(k-1,j,i) ) |
---|
| 1587 | d_max = MAX( nr(k+1,j,i), nr(k,j,i), nr(k-1,j,i) ) - nr(k,j,i) |
---|
| 1588 | |
---|
| 1589 | nr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
---|
| 1590 | 2.0_wp * d_max, & |
---|
| 1591 | ABS( d_mean ) ) |
---|
| 1592 | ENDDO |
---|
| 1593 | |
---|
| 1594 | ELSE |
---|
| 1595 | |
---|
| 1596 | nr_slope = 0.0_wp |
---|
| 1597 | qr_slope = 0.0_wp |
---|
| 1598 | |
---|
| 1599 | ENDIF |
---|
| 1600 | |
---|
| 1601 | sed_nr(nzt+1) = 0.0_wp |
---|
| 1602 | sed_qr(nzt+1) = 0.0_wp |
---|
| 1603 | ! |
---|
| 1604 | !-- Compute sedimentation flux |
---|
[2232] | 1605 | DO k = nzt, nzb+1, -1 |
---|
[1361] | 1606 | ! |
---|
[2232] | 1607 | !-- Predetermine flag to mask topography |
---|
| 1608 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1609 | ! |
---|
[2312] | 1610 | !-- Sum up all rain drop number densities which contribute to the flux |
---|
[1361] | 1611 | !-- through k-1/2 |
---|
| 1612 | flux = 0.0_wp |
---|
| 1613 | z_run = 0.0_wp ! height above z(k) |
---|
| 1614 | k_run = k |
---|
| 1615 | c_run = MIN( 1.0_wp, c_nr(k) ) |
---|
| 1616 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
---|
| 1617 | flux = flux + hyrho(k_run) * & |
---|
| 1618 | ( nr(k_run,j,i) + nr_slope(k_run) * & |
---|
[2232] | 1619 | ( 1.0_wp - c_run ) * 0.5_wp ) * c_run * dzu(k_run) & |
---|
| 1620 | * flag |
---|
| 1621 | z_run = z_run + dzu(k_run) * flag |
---|
| 1622 | k_run = k_run + 1 * flag |
---|
| 1623 | c_run = MIN( 1.0_wp, c_nr(k_run) - z_run * ddzu(k_run) ) & |
---|
| 1624 | * flag |
---|
[1361] | 1625 | ENDDO |
---|
| 1626 | ! |
---|
[2155] | 1627 | !-- It is not allowed to sediment more rain drop number density than |
---|
[1361] | 1628 | !-- available |
---|
| 1629 | flux = MIN( flux, & |
---|
| 1630 | hyrho(k) * dzu(k+1) * nr(k,j,i) + sed_nr(k+1) * & |
---|
| 1631 | dt_micro & |
---|
| 1632 | ) |
---|
| 1633 | |
---|
[2232] | 1634 | sed_nr(k) = flux / dt_micro * flag |
---|
[1361] | 1635 | nr(k,j,i) = nr(k,j,i) + ( sed_nr(k+1) - sed_nr(k) ) * & |
---|
[2232] | 1636 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
[1361] | 1637 | ! |
---|
[2155] | 1638 | !-- Sum up all rain water content which contributes to the flux |
---|
[1361] | 1639 | !-- through k-1/2 |
---|
| 1640 | flux = 0.0_wp |
---|
| 1641 | z_run = 0.0_wp ! height above z(k) |
---|
| 1642 | k_run = k |
---|
| 1643 | c_run = MIN( 1.0_wp, c_qr(k) ) |
---|
| 1644 | |
---|
| 1645 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
---|
| 1646 | |
---|
| 1647 | flux = flux + hyrho(k_run) * ( qr(k_run,j,i) + & |
---|
| 1648 | qr_slope(k_run) * ( 1.0_wp - c_run ) * & |
---|
[2232] | 1649 | 0.5_wp ) * c_run * dzu(k_run) * flag |
---|
| 1650 | z_run = z_run + dzu(k_run) * flag |
---|
| 1651 | k_run = k_run + 1 * flag |
---|
| 1652 | c_run = MIN( 1.0_wp, c_qr(k_run) - z_run * ddzu(k_run) ) & |
---|
| 1653 | * flag |
---|
[1361] | 1654 | |
---|
| 1655 | ENDDO |
---|
| 1656 | ! |
---|
[2155] | 1657 | !-- It is not allowed to sediment more rain water content than |
---|
[1361] | 1658 | !-- available |
---|
| 1659 | flux = MIN( flux, & |
---|
| 1660 | hyrho(k) * dzu(k) * qr(k,j,i) + sed_qr(k+1) * & |
---|
| 1661 | dt_micro & |
---|
| 1662 | ) |
---|
| 1663 | |
---|
[2232] | 1664 | sed_qr(k) = flux / dt_micro * flag |
---|
[1361] | 1665 | |
---|
| 1666 | qr(k,j,i) = qr(k,j,i) + ( sed_qr(k+1) - sed_qr(k) ) * & |
---|
[2232] | 1667 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
[1361] | 1668 | q(k,j,i) = q(k,j,i) + ( sed_qr(k+1) - sed_qr(k) ) * & |
---|
[2232] | 1669 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
[1361] | 1670 | pt(k,j,i) = pt(k,j,i) - ( sed_qr(k+1) - sed_qr(k) ) * & |
---|
| 1671 | ddzu(k+1) / hyrho(k) * l_d_cp * & |
---|
[2232] | 1672 | pt_d_t(k) * dt_micro * flag |
---|
[1361] | 1673 | ! |
---|
| 1674 | !-- Compute the rain rate |
---|
| 1675 | IF ( call_microphysics_at_all_substeps ) THEN |
---|
[1691] | 1676 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) & |
---|
[2232] | 1677 | * weight_substep(intermediate_timestep_count) & |
---|
| 1678 | * flag |
---|
[1361] | 1679 | ELSE |
---|
[2232] | 1680 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) * flag |
---|
[1361] | 1681 | ENDIF |
---|
| 1682 | |
---|
| 1683 | ENDDO |
---|
[1012] | 1684 | ENDDO |
---|
| 1685 | ENDDO |
---|
| 1686 | |
---|
[1691] | 1687 | CALL cpu_log( log_point_s(60), 'sed_rain', 'stop' ) |
---|
| 1688 | |
---|
| 1689 | END SUBROUTINE sedimentation_rain |
---|
| 1690 | |
---|
| 1691 | |
---|
| 1692 | !------------------------------------------------------------------------------! |
---|
| 1693 | ! Description: |
---|
| 1694 | ! ------------ |
---|
| 1695 | !> Computation of the precipitation amount due to gravitational settling of |
---|
| 1696 | !> rain and cloud (fog) droplets |
---|
| 1697 | !------------------------------------------------------------------------------! |
---|
| 1698 | SUBROUTINE calc_precipitation_amount |
---|
| 1699 | |
---|
[1849] | 1700 | USE arrays_3d, & |
---|
| 1701 | ONLY: precipitation_amount, prr |
---|
| 1702 | |
---|
[1691] | 1703 | USE cloud_parameters, & |
---|
[1849] | 1704 | ONLY: hyrho |
---|
[1691] | 1705 | |
---|
| 1706 | USE control_parameters, & |
---|
| 1707 | ONLY: call_microphysics_at_all_substeps, dt_do2d_xy, dt_3d, & |
---|
| 1708 | intermediate_timestep_count, intermediate_timestep_count_max,& |
---|
| 1709 | precipitation_amount_interval, time_do2d_xy |
---|
| 1710 | |
---|
| 1711 | USE indices, & |
---|
[2232] | 1712 | ONLY: nxl, nxr, nys, nyn, nzb, nzt, wall_flags_0 |
---|
[1691] | 1713 | |
---|
| 1714 | USE kinds |
---|
| 1715 | |
---|
[2232] | 1716 | USE surface_mod, & |
---|
| 1717 | ONLY : bc_h |
---|
| 1718 | |
---|
[1691] | 1719 | IMPLICIT NONE |
---|
| 1720 | |
---|
[2232] | 1721 | INTEGER(iwp) :: i !< running index x direction |
---|
| 1722 | INTEGER(iwp) :: j !< running index y direction |
---|
| 1723 | INTEGER(iwp) :: k !< running index y direction |
---|
| 1724 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 1725 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
| 1726 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
[1691] | 1727 | |
---|
| 1728 | IF ( ( dt_do2d_xy - time_do2d_xy ) < precipitation_amount_interval .AND.& |
---|
| 1729 | ( .NOT. call_microphysics_at_all_substeps .OR. & |
---|
| 1730 | intermediate_timestep_count == intermediate_timestep_count_max ) ) & |
---|
| 1731 | THEN |
---|
[2232] | 1732 | ! |
---|
[2312] | 1733 | !-- Run over all upward-facing surface elements, i.e. non-natural, |
---|
[2232] | 1734 | !-- natural and urban |
---|
| 1735 | DO m = 1, bc_h(0)%ns |
---|
[2312] | 1736 | i = bc_h(0)%i(m) |
---|
[2232] | 1737 | j = bc_h(0)%j(m) |
---|
| 1738 | k = bc_h(0)%k(m) |
---|
| 1739 | precipitation_amount(j,i) = precipitation_amount(j,i) + & |
---|
| 1740 | prr(k,j,i) * hyrho(k) * dt_3d |
---|
| 1741 | ENDDO |
---|
[1691] | 1742 | |
---|
[1361] | 1743 | ENDIF |
---|
| 1744 | |
---|
[1691] | 1745 | END SUBROUTINE calc_precipitation_amount |
---|
[1361] | 1746 | |
---|
[1012] | 1747 | |
---|
[1000] | 1748 | !------------------------------------------------------------------------------! |
---|
[1682] | 1749 | ! Description: |
---|
| 1750 | ! ------------ |
---|
[1849] | 1751 | !> Control of microphysics for grid points i,j |
---|
[1000] | 1752 | !------------------------------------------------------------------------------! |
---|
[1022] | 1753 | |
---|
[1115] | 1754 | SUBROUTINE microphysics_control_ij( i, j ) |
---|
| 1755 | |
---|
[1320] | 1756 | USE arrays_3d, & |
---|
[2292] | 1757 | ONLY: hyp, nc, nr, pt, pt_init, prr, q, qc, qr, zu |
---|
[1115] | 1758 | |
---|
[1320] | 1759 | USE cloud_parameters, & |
---|
[1849] | 1760 | ONLY: cp, hyrho, pt_d_t, r_d, t_d_pt |
---|
[1320] | 1761 | |
---|
| 1762 | USE control_parameters, & |
---|
[1849] | 1763 | ONLY: call_microphysics_at_all_substeps, dt_3d, g, & |
---|
| 1764 | intermediate_timestep_count, large_scale_forcing, & |
---|
[2292] | 1765 | lsf_surf, microphysics_morrison, microphysics_seifert, & |
---|
| 1766 | microphysics_kessler, pt_surface, rho_surface, & |
---|
| 1767 | surface_pressure |
---|
[1320] | 1768 | |
---|
| 1769 | USE indices, & |
---|
| 1770 | ONLY: nzb, nzt |
---|
| 1771 | |
---|
| 1772 | USE kinds |
---|
| 1773 | |
---|
| 1774 | USE statistics, & |
---|
| 1775 | ONLY: weight_pres |
---|
| 1776 | |
---|
[1022] | 1777 | IMPLICIT NONE |
---|
| 1778 | |
---|
[1682] | 1779 | INTEGER(iwp) :: i !< |
---|
| 1780 | INTEGER(iwp) :: j !< |
---|
| 1781 | INTEGER(iwp) :: k !< |
---|
[1115] | 1782 | |
---|
[1682] | 1783 | REAL(wp) :: t_surface !< |
---|
[1320] | 1784 | |
---|
[1361] | 1785 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[1241] | 1786 | ! |
---|
| 1787 | !-- Calculate: |
---|
| 1788 | !-- pt / t : ratio of potential and actual temperature (pt_d_t) |
---|
| 1789 | !-- t / pt : ratio of actual and potential temperature (t_d_pt) |
---|
| 1790 | !-- p_0(z) : vertical profile of the hydrostatic pressure (hyp) |
---|
[1353] | 1791 | t_surface = pt_surface * ( surface_pressure / 1000.0_wp )**0.286_wp |
---|
[1241] | 1792 | DO k = nzb, nzt+1 |
---|
[1353] | 1793 | hyp(k) = surface_pressure * 100.0_wp * & |
---|
[1361] | 1794 | ( ( t_surface - g / cp * zu(k) ) / t_surface )**(1.0_wp / 0.286_wp) |
---|
[1353] | 1795 | pt_d_t(k) = ( 100000.0_wp / hyp(k) )**0.286_wp |
---|
| 1796 | t_d_pt(k) = 1.0_wp / pt_d_t(k) |
---|
[2155] | 1797 | hyrho(k) = hyp(k) / ( r_d * t_d_pt(k) * pt_init(k) ) |
---|
[1241] | 1798 | ENDDO |
---|
| 1799 | ! |
---|
| 1800 | !-- Compute reference density |
---|
[1353] | 1801 | rho_surface = surface_pressure * 100.0_wp / ( r_d * t_surface ) |
---|
[1241] | 1802 | ENDIF |
---|
| 1803 | |
---|
[1361] | 1804 | ! |
---|
[2155] | 1805 | !-- Compute length of time step |
---|
[1361] | 1806 | IF ( call_microphysics_at_all_substeps ) THEN |
---|
| 1807 | dt_micro = dt_3d * weight_pres(intermediate_timestep_count) |
---|
| 1808 | ELSE |
---|
| 1809 | dt_micro = dt_3d |
---|
| 1810 | ENDIF |
---|
[1241] | 1811 | |
---|
[1115] | 1812 | ! |
---|
[1361] | 1813 | !-- Use 1d arrays |
---|
[1115] | 1814 | q_1d(:) = q(:,j,i) |
---|
| 1815 | pt_1d(:) = pt(:,j,i) |
---|
| 1816 | qc_1d(:) = qc(:,j,i) |
---|
[1822] | 1817 | IF ( microphysics_seifert ) THEN |
---|
[1115] | 1818 | qr_1d(:) = qr(:,j,i) |
---|
| 1819 | nr_1d(:) = nr(:,j,i) |
---|
| 1820 | ENDIF |
---|
[2292] | 1821 | IF ( microphysics_morrison ) THEN |
---|
| 1822 | nc_1d(:) = nc(:,j,i) |
---|
| 1823 | ENDIF |
---|
[1361] | 1824 | |
---|
[2292] | 1825 | |
---|
[1115] | 1826 | ! |
---|
[1822] | 1827 | !-- Reset precipitation rate |
---|
| 1828 | IF ( intermediate_timestep_count == 1 ) prr(:,j,i) = 0.0_wp |
---|
| 1829 | |
---|
| 1830 | ! |
---|
[1115] | 1831 | !-- Compute cloud physics |
---|
[1822] | 1832 | IF( microphysics_kessler ) THEN |
---|
| 1833 | |
---|
| 1834 | CALL autoconversion_kessler( i,j ) |
---|
[1831] | 1835 | IF ( cloud_water_sedimentation ) CALL sedimentation_cloud( i,j ) |
---|
[1822] | 1836 | |
---|
| 1837 | ELSEIF ( microphysics_seifert ) THEN |
---|
| 1838 | |
---|
| 1839 | CALL adjust_cloud( i,j ) |
---|
[2292] | 1840 | IF ( microphysics_morrison ) CALL activation( i,j ) |
---|
| 1841 | IF ( microphysics_morrison ) CALL condensation( i,j ) |
---|
[1115] | 1842 | CALL autoconversion( i,j ) |
---|
| 1843 | CALL accretion( i,j ) |
---|
| 1844 | CALL selfcollection_breakup( i,j ) |
---|
| 1845 | CALL evaporation_rain( i,j ) |
---|
| 1846 | CALL sedimentation_rain( i,j ) |
---|
[1831] | 1847 | IF ( cloud_water_sedimentation ) CALL sedimentation_cloud( i,j ) |
---|
[1115] | 1848 | |
---|
[1691] | 1849 | ENDIF |
---|
| 1850 | |
---|
[1822] | 1851 | CALL calc_precipitation_amount( i,j ) |
---|
| 1852 | |
---|
[1115] | 1853 | ! |
---|
[1361] | 1854 | !-- Store results on the 3d arrays |
---|
| 1855 | q(:,j,i) = q_1d(:) |
---|
| 1856 | pt(:,j,i) = pt_1d(:) |
---|
[2292] | 1857 | IF ( microphysics_morrison ) THEN |
---|
| 1858 | qc(:,j,i) = qc_1d(:) |
---|
| 1859 | nc(:,j,i) = nc_1d(:) |
---|
| 1860 | ENDIF |
---|
[1822] | 1861 | IF ( microphysics_seifert ) THEN |
---|
[1361] | 1862 | qr(:,j,i) = qr_1d(:) |
---|
| 1863 | nr(:,j,i) = nr_1d(:) |
---|
[1115] | 1864 | ENDIF |
---|
| 1865 | |
---|
| 1866 | END SUBROUTINE microphysics_control_ij |
---|
| 1867 | |
---|
[1682] | 1868 | !------------------------------------------------------------------------------! |
---|
| 1869 | ! Description: |
---|
| 1870 | ! ------------ |
---|
[2155] | 1871 | !> Adjust number of raindrops to avoid nonlinear effects in |
---|
[1682] | 1872 | !> sedimentation and evaporation of rain drops due to too small or |
---|
| 1873 | !> too big weights of rain drops (Stevens and Seifert, 2008). |
---|
| 1874 | !> The same procedure is applied to cloud droplets if they are determined |
---|
| 1875 | !> prognostically. Call for grid point i,j |
---|
| 1876 | !------------------------------------------------------------------------------! |
---|
[1115] | 1877 | SUBROUTINE adjust_cloud_ij( i, j ) |
---|
| 1878 | |
---|
[1320] | 1879 | USE cloud_parameters, & |
---|
[1849] | 1880 | ONLY: hyrho |
---|
[1320] | 1881 | |
---|
[2292] | 1882 | USE control_parameters, & |
---|
| 1883 | ONLY: microphysics_morrison |
---|
| 1884 | |
---|
[1320] | 1885 | USE indices, & |
---|
[2232] | 1886 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1320] | 1887 | |
---|
| 1888 | USE kinds |
---|
| 1889 | |
---|
[1115] | 1890 | IMPLICIT NONE |
---|
| 1891 | |
---|
[1682] | 1892 | INTEGER(iwp) :: i !< |
---|
| 1893 | INTEGER(iwp) :: j !< |
---|
| 1894 | INTEGER(iwp) :: k !< |
---|
| 1895 | |
---|
[2232] | 1896 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1022] | 1897 | |
---|
[2232] | 1898 | DO k = nzb+1, nzt |
---|
| 1899 | ! |
---|
| 1900 | !-- Predetermine flag to mask topography |
---|
| 1901 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 1902 | |
---|
[1361] | 1903 | IF ( qr_1d(k) <= eps_sb ) THEN |
---|
| 1904 | qr_1d(k) = 0.0_wp |
---|
| 1905 | nr_1d(k) = 0.0_wp |
---|
[1065] | 1906 | ELSE |
---|
[1022] | 1907 | ! |
---|
[2155] | 1908 | !-- Adjust number of raindrops to avoid nonlinear effects in |
---|
[1048] | 1909 | !-- sedimentation and evaporation of rain drops due to too small or |
---|
[1065] | 1910 | !-- too big weights of rain drops (Stevens and Seifert, 2008). |
---|
[1361] | 1911 | IF ( nr_1d(k) * xrmin > qr_1d(k) * hyrho(k) ) THEN |
---|
[2232] | 1912 | nr_1d(k) = qr_1d(k) * hyrho(k) / xrmin * flag |
---|
[1361] | 1913 | ELSEIF ( nr_1d(k) * xrmax < qr_1d(k) * hyrho(k) ) THEN |
---|
[2232] | 1914 | nr_1d(k) = qr_1d(k) * hyrho(k) / xrmax * flag |
---|
[1048] | 1915 | ENDIF |
---|
[1115] | 1916 | |
---|
[1022] | 1917 | ENDIF |
---|
[1115] | 1918 | |
---|
[2292] | 1919 | IF ( microphysics_morrison ) THEN |
---|
| 1920 | IF ( qc_1d(k) <= eps_sb ) THEN |
---|
| 1921 | qc_1d(k) = 0.0_wp |
---|
| 1922 | nc_1d(k) = 0.0_wp |
---|
| 1923 | ELSE |
---|
| 1924 | IF ( nc_1d(k) * xcmin > qc_1d(k) * hyrho(k) ) THEN |
---|
| 1925 | nc_1d(k) = qc_1d(k) * hyrho(k) / xamin * flag |
---|
| 1926 | ENDIF |
---|
| 1927 | ENDIF |
---|
| 1928 | ENDIF |
---|
| 1929 | |
---|
[1022] | 1930 | ENDDO |
---|
| 1931 | |
---|
[1115] | 1932 | END SUBROUTINE adjust_cloud_ij |
---|
[1022] | 1933 | |
---|
[2292] | 1934 | !------------------------------------------------------------------------------! |
---|
| 1935 | ! Description: |
---|
| 1936 | ! ------------ |
---|
| 1937 | !> Calculate number of activated condensation nucleii after simple activation |
---|
| 1938 | !> scheme of Twomey, 1959. |
---|
| 1939 | !------------------------------------------------------------------------------! |
---|
| 1940 | SUBROUTINE activation_ij( i, j ) |
---|
[1106] | 1941 | |
---|
[2292] | 1942 | USE arrays_3d, & |
---|
| 1943 | ONLY: hyp, nr, pt, q, qc, qr, nc |
---|
| 1944 | |
---|
| 1945 | USE cloud_parameters, & |
---|
[2375] | 1946 | ONLY: hyrho, l_d_cp, l_d_r, l_v, molecular_weight_of_solute, & |
---|
| 1947 | molecular_weight_of_water, rho_l, rho_s, r_v, t_d_pt, & |
---|
| 1948 | vanthoff |
---|
[2292] | 1949 | |
---|
| 1950 | USE constants, & |
---|
| 1951 | ONLY: pi |
---|
| 1952 | |
---|
| 1953 | USE cpulog, & |
---|
| 1954 | ONLY: cpu_log, log_point_s |
---|
| 1955 | |
---|
| 1956 | USE indices, & |
---|
| 1957 | ONLY: nxlg, nxrg, nysg, nyng, nzb, nzt |
---|
| 1958 | |
---|
| 1959 | USE kinds |
---|
| 1960 | |
---|
| 1961 | USE control_parameters, & |
---|
| 1962 | ONLY: simulated_time |
---|
| 1963 | |
---|
| 1964 | IMPLICIT NONE |
---|
| 1965 | |
---|
| 1966 | INTEGER(iwp) :: i !< |
---|
| 1967 | INTEGER(iwp) :: j !< |
---|
| 1968 | INTEGER(iwp) :: k !< |
---|
| 1969 | |
---|
| 1970 | REAL(wp) :: activ !< |
---|
| 1971 | REAL(wp) :: afactor !< |
---|
| 1972 | REAL(wp) :: alpha !< |
---|
| 1973 | REAL(wp) :: beta_act !< |
---|
| 1974 | REAL(wp) :: bfactor !< |
---|
| 1975 | REAL(wp) :: e_s !< |
---|
| 1976 | REAL(wp) :: k_act !< |
---|
| 1977 | REAL(wp) :: n_act !< |
---|
| 1978 | REAL(wp) :: n_ccn !< |
---|
| 1979 | REAL(wp) :: q_s !< |
---|
| 1980 | REAL(wp) :: s_0 !< |
---|
| 1981 | REAL(wp) :: sat !< |
---|
| 1982 | REAL(wp) :: sat_max !< |
---|
| 1983 | REAL(wp) :: sigma !< |
---|
[2375] | 1984 | REAL(wp) :: sigma_act !< |
---|
[2292] | 1985 | REAL(wp) :: t_int !< |
---|
| 1986 | REAL(wp) :: t_l !< |
---|
| 1987 | |
---|
| 1988 | DO k = nzb+1, nzt |
---|
| 1989 | ! |
---|
| 1990 | !-- Actual liquid water temperature: |
---|
| 1991 | t_l = t_d_pt(k) * pt_1d(k) |
---|
| 1992 | |
---|
| 1993 | ! |
---|
| 1994 | !-- Calculate actual temperature |
---|
| 1995 | t_int = pt_1d(k) * ( hyp(k) / 100000.0_wp )**0.286_wp |
---|
| 1996 | ! |
---|
| 1997 | !-- Saturation vapor pressure at t_l: |
---|
| 1998 | e_s = 610.78_wp * EXP( 17.269_wp * ( t_l - 273.16_wp ) / & |
---|
| 1999 | ( t_l - 35.86_wp ) & |
---|
| 2000 | ) |
---|
| 2001 | ! |
---|
| 2002 | !-- Computation of saturation humidity: |
---|
| 2003 | q_s = 0.622_wp * e_s / ( hyp(k) - 0.378_wp * e_s ) |
---|
| 2004 | alpha = 0.622_wp * l_d_r * l_d_cp / ( t_l * t_l ) |
---|
| 2005 | q_s = q_s * ( 1.0_wp + alpha * q_1d(k) ) / & |
---|
| 2006 | ( 1.0_wp + alpha * q_s ) |
---|
| 2007 | |
---|
| 2008 | !-- Supersaturation: |
---|
| 2009 | sat = ( q_1d(k) - qr_1d(k) - qc_1d(k) ) / q_s - 1.0_wp |
---|
| 2010 | |
---|
| 2011 | ! |
---|
| 2012 | !-- Prescribe parameters for activation |
---|
| 2013 | !-- (see: Bott + Trautmann, 2002, Atm. Res., 64) |
---|
[2312] | 2014 | k_act = 0.7_wp |
---|
[2522] | 2015 | activ = 0.0_wp |
---|
[2292] | 2016 | |
---|
| 2017 | IF ( sat >= 0.0 .AND. .NOT. curvature_solution_effects_bulk ) THEN |
---|
| 2018 | ! |
---|
[2312] | 2019 | !-- Compute the number of activated Aerosols |
---|
[2292] | 2020 | !-- (see: Twomey, 1959, Pure and applied Geophysics, 43) |
---|
| 2021 | n_act = na_init * sat**k_act |
---|
| 2022 | ! |
---|
| 2023 | !-- Compute the number of cloud droplets |
---|
| 2024 | !-- (see: Morrison + Grabowski, 2007, JAS, 64) |
---|
| 2025 | ! activ = MAX( n_act - nc_d1(k), 0.0_wp) / dt_micro |
---|
| 2026 | |
---|
| 2027 | ! |
---|
| 2028 | !-- Compute activation rate after Khairoutdinov and Kogan |
---|
[2312] | 2029 | !-- (see: Khairoutdinov + Kogan, 2000, Mon. Wea. Rev., 128) |
---|
| 2030 | sat_max = 0.8_wp / 100.0_wp |
---|
| 2031 | activ = MAX( 0.0_wp, ( (na_init + nc_1d(k) ) * MIN & |
---|
| 2032 | ( 1.0_wp, ( sat / sat_max )**k_act) - nc_1d(k) ) ) / & |
---|
[2292] | 2033 | dt_micro |
---|
| 2034 | |
---|
| 2035 | nc_1d(k) = MIN( (nc_1d(k) + activ * dt_micro), na_init) |
---|
| 2036 | ELSEIF ( sat >= 0.0 .AND. curvature_solution_effects_bulk ) THEN |
---|
| 2037 | ! |
---|
[2312] | 2038 | !-- Curvature effect (afactor) with surface tension |
---|
[2292] | 2039 | !-- parameterization by Straka (2009) |
---|
| 2040 | sigma = 0.0761_wp - 0.000155_wp * ( t_int - 273.15_wp ) |
---|
| 2041 | afactor = 2.0_wp * sigma / ( rho_l * r_v * t_int ) |
---|
| 2042 | ! |
---|
| 2043 | !-- Solute effect (bfactor) |
---|
| 2044 | bfactor = vanthoff * molecular_weight_of_water * & |
---|
| 2045 | rho_s / ( molecular_weight_of_solute * rho_l ) |
---|
| 2046 | |
---|
| 2047 | ! |
---|
[2312] | 2048 | !-- Prescribe power index that describes the soluble fraction |
---|
[2375] | 2049 | !-- of an aerosol particle (beta). |
---|
[2292] | 2050 | !-- (see: Morrison + Grabowski, 2007, JAS, 64) |
---|
[2375] | 2051 | beta_act = 0.5_wp |
---|
| 2052 | sigma_act = sigma_bulk**( 1.0_wp + beta_act ) |
---|
[2292] | 2053 | ! |
---|
[2312] | 2054 | !-- Calculate mean geometric supersaturation (s_0) with |
---|
[2292] | 2055 | !-- parameterization by Khvorostyanov and Curry (2006) |
---|
[2375] | 2056 | s_0 = dry_aerosol_radius **(- ( 1.0_wp + beta_act ) ) * & |
---|
[2292] | 2057 | ( 4.0_wp * afactor**3 / ( 27.0_wp * bfactor ) )**0.5_wp |
---|
| 2058 | |
---|
| 2059 | ! |
---|
[2312] | 2060 | !-- Calculate number of activated CCN as a function of |
---|
[2292] | 2061 | !-- supersaturation and taking Koehler theory into account |
---|
| 2062 | !-- (see: Khvorostyanov + Curry, 2006, J. Geo. Res., 111) |
---|
[2375] | 2063 | n_ccn = ( na_init / 2.0_wp ) * ( 1.0_wp - ERF( & |
---|
| 2064 | LOG( s_0 / sat ) / ( SQRT(2.0_wp) * LOG(sigma_act) ) ) ) |
---|
[2292] | 2065 | activ = MAX( ( n_ccn ) / dt_micro, 0.0_wp ) |
---|
[2312] | 2066 | |
---|
| 2067 | nc_1d(k) = MIN( (nc_1d(k) + activ * dt_micro), na_init) |
---|
[2292] | 2068 | ENDIF |
---|
| 2069 | |
---|
| 2070 | ENDDO |
---|
| 2071 | |
---|
| 2072 | END SUBROUTINE activation_ij |
---|
| 2073 | |
---|
[1682] | 2074 | !------------------------------------------------------------------------------! |
---|
| 2075 | ! Description: |
---|
| 2076 | ! ------------ |
---|
[2312] | 2077 | !> Calculate condensation rate for cloud water content (after Khairoutdinov and |
---|
[2292] | 2078 | !> Kogan, 2000). |
---|
| 2079 | !------------------------------------------------------------------------------! |
---|
| 2080 | SUBROUTINE condensation_ij( i, j ) |
---|
| 2081 | |
---|
| 2082 | USE arrays_3d, & |
---|
| 2083 | ONLY: hyp, nr, pt, q, qc, qr, nc |
---|
| 2084 | |
---|
| 2085 | USE cloud_parameters, & |
---|
| 2086 | ONLY: hyrho, l_d_cp, l_d_r, l_v, r_v, t_d_pt |
---|
| 2087 | |
---|
| 2088 | USE constants, & |
---|
| 2089 | ONLY: pi |
---|
| 2090 | |
---|
| 2091 | USE cpulog, & |
---|
| 2092 | ONLY: cpu_log, log_point_s |
---|
| 2093 | |
---|
| 2094 | USE indices, & |
---|
| 2095 | ONLY: nxlg, nxrg, nysg, nyng, nzb, nzt |
---|
| 2096 | |
---|
| 2097 | USE kinds |
---|
| 2098 | |
---|
| 2099 | USE control_parameters, & |
---|
| 2100 | ONLY: simulated_time |
---|
| 2101 | |
---|
| 2102 | IMPLICIT NONE |
---|
| 2103 | |
---|
| 2104 | INTEGER(iwp) :: i !< |
---|
| 2105 | INTEGER(iwp) :: j !< |
---|
| 2106 | INTEGER(iwp) :: k !< |
---|
| 2107 | |
---|
| 2108 | REAL(wp) :: alpha !< |
---|
| 2109 | REAL(wp) :: cond !< |
---|
| 2110 | REAL(wp) :: cond_max !< |
---|
| 2111 | REAL(wp) :: dc !< |
---|
| 2112 | REAL(wp) :: e_s !< |
---|
| 2113 | REAL(wp) :: evap !< |
---|
| 2114 | REAL(wp) :: evap_nc !< |
---|
| 2115 | REAL(wp) :: g_fac !< |
---|
| 2116 | REAL(wp) :: nc_0 !< |
---|
| 2117 | REAL(wp) :: q_s !< |
---|
| 2118 | REAL(wp) :: sat !< |
---|
| 2119 | REAL(wp) :: t_l !< |
---|
| 2120 | REAL(wp) :: temp !< |
---|
| 2121 | REAL(wp) :: xc !< |
---|
| 2122 | |
---|
| 2123 | |
---|
| 2124 | DO k = nzb+1, nzt |
---|
| 2125 | ! |
---|
| 2126 | !-- Actual liquid water temperature: |
---|
| 2127 | t_l = t_d_pt(k) * pt_1d(k) |
---|
| 2128 | ! |
---|
| 2129 | !-- Saturation vapor pressure at t_l: |
---|
| 2130 | e_s = 610.78_wp * EXP( 17.269_wp * ( t_l - 273.16_wp ) / & |
---|
| 2131 | ( t_l - 35.86_wp ) & |
---|
| 2132 | ) |
---|
| 2133 | ! |
---|
| 2134 | !-- Computation of saturation humidity: |
---|
| 2135 | q_s = 0.622_wp * e_s / ( hyp(k) - 0.378_wp * e_s ) |
---|
| 2136 | alpha = 0.622_wp * l_d_r * l_d_cp / ( t_l * t_l ) |
---|
| 2137 | q_s = q_s * ( 1.0_wp + alpha * q_1d(k) ) / & |
---|
| 2138 | ( 1.0_wp + alpha * q_s ) |
---|
| 2139 | |
---|
| 2140 | !-- Supersaturation: |
---|
| 2141 | sat = ( q_1d(k) - qr_1d(k) - qc_1d(k) ) / q_s - 1.0_wp |
---|
| 2142 | |
---|
| 2143 | |
---|
| 2144 | ! |
---|
| 2145 | !-- Actual temperature: |
---|
| 2146 | temp = t_l + l_d_cp * ( qc_1d(k) + qr_1d(k) ) |
---|
| 2147 | |
---|
| 2148 | g_fac = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * & |
---|
| 2149 | l_v / ( thermal_conductivity_l * temp ) & |
---|
| 2150 | + r_v * temp / ( diff_coeff_l * e_s ) & |
---|
| 2151 | ) |
---|
| 2152 | ! |
---|
| 2153 | !-- Mean weight of cloud drops |
---|
| 2154 | IF ( nc_1d(k) <= 0.0_wp) CYCLE |
---|
[2312] | 2155 | xc = MAX( (hyrho(k) * qc_1d(k) / nc_1d(k)), xcmin) |
---|
[2292] | 2156 | ! |
---|
| 2157 | !-- Weight averaged diameter of cloud drops: |
---|
| 2158 | dc = ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
| 2159 | ! |
---|
| 2160 | !-- Integral diameter of cloud drops |
---|
[2312] | 2161 | nc_0 = nc_1d(k) * dc |
---|
[2292] | 2162 | ! |
---|
| 2163 | !-- Condensation needs only to be calculated in supersaturated regions |
---|
| 2164 | IF ( sat > 0.0_wp ) THEN |
---|
| 2165 | ! |
---|
| 2166 | !-- Condensation rate of cloud water content |
---|
| 2167 | !-- after KK scheme. |
---|
| 2168 | !-- (see: Khairoutdinov + Kogan, 2000, Mon. Wea. Rev.,128) |
---|
| 2169 | cond = 2.0_wp * pi * nc_0 * g_fac * sat / hyrho(k) |
---|
| 2170 | cond_max = q_1d(k) - q_s - qc_1d(k) - qr_1d(k) |
---|
| 2171 | cond = MIN( cond, cond_max / dt_micro ) |
---|
[2312] | 2172 | |
---|
[2292] | 2173 | qc_1d(k) = qc_1d(k) + cond * dt_micro |
---|
| 2174 | ELSEIF ( sat < 0.0_wp ) THEN |
---|
| 2175 | evap = 2.0_wp * pi * nc_0 * g_fac * sat / hyrho(k) |
---|
| 2176 | evap = MAX( evap, -qc_1d(k) / dt_micro ) |
---|
| 2177 | |
---|
| 2178 | qc_1d(k) = qc_1d(k) + evap * dt_micro |
---|
| 2179 | ENDIF |
---|
| 2180 | ENDDO |
---|
| 2181 | |
---|
| 2182 | END SUBROUTINE condensation_ij |
---|
| 2183 | |
---|
| 2184 | |
---|
| 2185 | !------------------------------------------------------------------------------! |
---|
| 2186 | ! Description: |
---|
| 2187 | ! ------------ |
---|
[1682] | 2188 | !> Autoconversion rate (Seifert and Beheng, 2006). Call for grid point i,j |
---|
| 2189 | !------------------------------------------------------------------------------! |
---|
[1005] | 2190 | SUBROUTINE autoconversion_ij( i, j ) |
---|
[1000] | 2191 | |
---|
[1320] | 2192 | USE arrays_3d, & |
---|
[1849] | 2193 | ONLY: diss, dzu |
---|
[1115] | 2194 | |
---|
[1320] | 2195 | USE cloud_parameters, & |
---|
[1849] | 2196 | ONLY: hyrho |
---|
[1320] | 2197 | |
---|
| 2198 | USE control_parameters, & |
---|
[2292] | 2199 | ONLY: microphysics_morrison, rho_surface |
---|
[1320] | 2200 | |
---|
| 2201 | USE grid_variables, & |
---|
| 2202 | ONLY: dx, dy |
---|
| 2203 | |
---|
| 2204 | USE indices, & |
---|
[2232] | 2205 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1320] | 2206 | |
---|
| 2207 | USE kinds |
---|
| 2208 | |
---|
[1000] | 2209 | IMPLICIT NONE |
---|
| 2210 | |
---|
[1682] | 2211 | INTEGER(iwp) :: i !< |
---|
| 2212 | INTEGER(iwp) :: j !< |
---|
| 2213 | INTEGER(iwp) :: k !< |
---|
[1000] | 2214 | |
---|
[2155] | 2215 | REAL(wp) :: alpha_cc !< |
---|
[1682] | 2216 | REAL(wp) :: autocon !< |
---|
| 2217 | REAL(wp) :: dissipation !< |
---|
[2232] | 2218 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1682] | 2219 | REAL(wp) :: k_au !< |
---|
| 2220 | REAL(wp) :: l_mix !< |
---|
[2292] | 2221 | REAL(wp) :: nc_auto !< |
---|
[1682] | 2222 | REAL(wp) :: nu_c !< |
---|
| 2223 | REAL(wp) :: phi_au !< |
---|
| 2224 | REAL(wp) :: r_cc !< |
---|
| 2225 | REAL(wp) :: rc !< |
---|
| 2226 | REAL(wp) :: re_lambda !< |
---|
| 2227 | REAL(wp) :: sigma_cc !< |
---|
| 2228 | REAL(wp) :: tau_cloud !< |
---|
| 2229 | REAL(wp) :: xc !< |
---|
[1106] | 2230 | |
---|
[2232] | 2231 | DO k = nzb+1, nzt |
---|
| 2232 | ! |
---|
| 2233 | !-- Predetermine flag to mask topography |
---|
| 2234 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[2292] | 2235 | nc_auto = MERGE ( nc_1d(k), nc_const, microphysics_morrison ) |
---|
[1000] | 2236 | |
---|
[2522] | 2237 | IF ( qc_1d(k) > eps_sb .AND. nc_auto > eps_mr ) THEN |
---|
[1361] | 2238 | |
---|
| 2239 | k_au = k_cc / ( 20.0_wp * x0 ) |
---|
[1012] | 2240 | ! |
---|
[1048] | 2241 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
[1353] | 2242 | !-- (1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr_1d(k) )) |
---|
[2522] | 2243 | tau_cloud = MAX( 1.0_wp - qc_1d(k) / ( qr_1d(k) + qc_1d(k) ), & |
---|
| 2244 | 0.0_wp ) |
---|
[1012] | 2245 | ! |
---|
[2155] | 2246 | !-- Universal function for autoconversion process |
---|
[1012] | 2247 | !-- (Seifert and Beheng, 2006): |
---|
[1361] | 2248 | phi_au = 600.0_wp * tau_cloud**0.68_wp * ( 1.0_wp - tau_cloud**0.68_wp )**3 |
---|
[1012] | 2249 | ! |
---|
| 2250 | !-- Shape parameter of gamma distribution (Geoffroy et al., 2010): |
---|
[1353] | 2251 | !-- (Use constant nu_c = 1.0_wp instead?) |
---|
[1361] | 2252 | nu_c = 1.0_wp !MAX( 0.0_wp, 1580.0_wp * hyrho(k) * qc_1d(k) - 0.28_wp ) |
---|
[1012] | 2253 | ! |
---|
| 2254 | !-- Mean weight of cloud droplets: |
---|
[2292] | 2255 | xc = hyrho(k) * qc_1d(k) / nc_auto |
---|
[1012] | 2256 | ! |
---|
[2155] | 2257 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
[1065] | 2258 | !-- Nuijens and Stevens, 2010) |
---|
[1831] | 2259 | IF ( collision_turbulence ) THEN |
---|
[1065] | 2260 | ! |
---|
| 2261 | !-- Weight averaged radius of cloud droplets: |
---|
[1353] | 2262 | rc = 0.5_wp * ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
[1065] | 2263 | |
---|
[1353] | 2264 | alpha_cc = ( a_1 + a_2 * nu_c ) / ( 1.0_wp + a_3 * nu_c ) |
---|
| 2265 | r_cc = ( b_1 + b_2 * nu_c ) / ( 1.0_wp + b_3 * nu_c ) |
---|
| 2266 | sigma_cc = ( c_1 + c_2 * nu_c ) / ( 1.0_wp + c_3 * nu_c ) |
---|
[1065] | 2267 | ! |
---|
| 2268 | !-- Mixing length (neglecting distance to ground and stratification) |
---|
[1334] | 2269 | l_mix = ( dx * dy * dzu(k) )**( 1.0_wp / 3.0_wp ) |
---|
[1065] | 2270 | ! |
---|
[2155] | 2271 | !-- Limit dissipation rate according to Seifert, Nuijens and |
---|
[1065] | 2272 | !-- Stevens (2010) |
---|
[1361] | 2273 | dissipation = MIN( 0.06_wp, diss(k,j,i) ) |
---|
[1065] | 2274 | ! |
---|
| 2275 | !-- Compute Taylor-microscale Reynolds number: |
---|
[1361] | 2276 | re_lambda = 6.0_wp / 11.0_wp * & |
---|
| 2277 | ( l_mix / c_const )**( 2.0_wp / 3.0_wp ) * & |
---|
| 2278 | SQRT( 15.0_wp / kin_vis_air ) * & |
---|
| 2279 | dissipation**( 1.0_wp / 6.0_wp ) |
---|
[1065] | 2280 | ! |
---|
| 2281 | !-- The factor of 1.0E4 is needed to convert the dissipation rate |
---|
| 2282 | !-- from m2 s-3 to cm2 s-3. |
---|
[1361] | 2283 | k_au = k_au * ( 1.0_wp + & |
---|
| 2284 | dissipation * 1.0E4_wp * & |
---|
| 2285 | ( re_lambda * 1.0E-3_wp )**0.25_wp * & |
---|
| 2286 | ( alpha_cc * EXP( -1.0_wp * ( ( rc - r_cc ) / & |
---|
| 2287 | sigma_cc )**2 & |
---|
| 2288 | ) + beta_cc & |
---|
| 2289 | ) & |
---|
| 2290 | ) |
---|
[1065] | 2291 | ENDIF |
---|
| 2292 | ! |
---|
[1012] | 2293 | !-- Autoconversion rate (Seifert and Beheng, 2006): |
---|
[1361] | 2294 | autocon = k_au * ( nu_c + 2.0_wp ) * ( nu_c + 4.0_wp ) / & |
---|
| 2295 | ( nu_c + 1.0_wp )**2 * qc_1d(k)**2 * xc**2 * & |
---|
| 2296 | ( 1.0_wp + phi_au / ( 1.0_wp - tau_cloud )**2 ) * & |
---|
[1115] | 2297 | rho_surface |
---|
| 2298 | autocon = MIN( autocon, qc_1d(k) / dt_micro ) |
---|
[1106] | 2299 | |
---|
[2232] | 2300 | qr_1d(k) = qr_1d(k) + autocon * dt_micro * flag |
---|
| 2301 | qc_1d(k) = qc_1d(k) - autocon * dt_micro * flag |
---|
| 2302 | nr_1d(k) = nr_1d(k) + autocon / x0 * hyrho(k) * dt_micro * flag |
---|
[2292] | 2303 | IF ( microphysics_morrison ) THEN |
---|
[2312] | 2304 | nc_1d(k) = nc_1d(k) - MIN( nc_1d(k), 2.0_wp * & |
---|
[2292] | 2305 | autocon / x0 * hyrho(k) * dt_micro * flag ) |
---|
| 2306 | ENDIF |
---|
[1115] | 2307 | |
---|
[1005] | 2308 | ENDIF |
---|
[1000] | 2309 | |
---|
| 2310 | ENDDO |
---|
| 2311 | |
---|
[1005] | 2312 | END SUBROUTINE autoconversion_ij |
---|
| 2313 | |
---|
[1822] | 2314 | !------------------------------------------------------------------------------! |
---|
| 2315 | ! Description: |
---|
| 2316 | ! ------------ |
---|
| 2317 | !> Autoconversion process (Kessler, 1969). |
---|
| 2318 | !------------------------------------------------------------------------------! |
---|
| 2319 | SUBROUTINE autoconversion_kessler_ij( i, j ) |
---|
[1106] | 2320 | |
---|
[1822] | 2321 | USE arrays_3d, & |
---|
[1849] | 2322 | ONLY: dzw, prr |
---|
[1822] | 2323 | |
---|
| 2324 | USE cloud_parameters, & |
---|
[1849] | 2325 | ONLY: l_d_cp, pt_d_t |
---|
[1822] | 2326 | |
---|
| 2327 | USE indices, & |
---|
[2317] | 2328 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1822] | 2329 | |
---|
| 2330 | USE kinds |
---|
| 2331 | |
---|
[2317] | 2332 | USE surface_mod, & |
---|
[2698] | 2333 | ONLY: get_topography_top_index_ji |
---|
[1822] | 2334 | |
---|
[2317] | 2335 | |
---|
[1822] | 2336 | IMPLICIT NONE |
---|
| 2337 | |
---|
[2232] | 2338 | INTEGER(iwp) :: i !< |
---|
| 2339 | INTEGER(iwp) :: j !< |
---|
| 2340 | INTEGER(iwp) :: k !< |
---|
| 2341 | INTEGER(iwp) :: k_wall !< topography top index |
---|
[1822] | 2342 | |
---|
| 2343 | REAL(wp) :: dqdt_precip !< |
---|
[2232] | 2344 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1822] | 2345 | |
---|
[2232] | 2346 | ! |
---|
| 2347 | !-- Determine vertical index of topography top |
---|
[2698] | 2348 | k_wall = get_topography_top_index_ji( j, i, 's' ) |
---|
[2232] | 2349 | DO k = nzb+1, nzt |
---|
| 2350 | ! |
---|
| 2351 | !-- Predetermine flag to mask topography |
---|
| 2352 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[1822] | 2353 | |
---|
| 2354 | IF ( qc_1d(k) > ql_crit ) THEN |
---|
| 2355 | dqdt_precip = prec_time_const * ( qc_1d(k) - ql_crit ) |
---|
| 2356 | ELSE |
---|
| 2357 | dqdt_precip = 0.0_wp |
---|
| 2358 | ENDIF |
---|
| 2359 | |
---|
[2232] | 2360 | qc_1d(k) = qc_1d(k) - dqdt_precip * dt_micro * flag |
---|
| 2361 | q_1d(k) = q_1d(k) - dqdt_precip * dt_micro * flag |
---|
| 2362 | pt_1d(k) = pt_1d(k) + dqdt_precip * dt_micro * l_d_cp * pt_d_t(k) * flag |
---|
[1822] | 2363 | |
---|
| 2364 | ! |
---|
[1845] | 2365 | !-- Compute the rain rate (stored on surface grid point) |
---|
[2232] | 2366 | prr(k_wall,j,i) = prr(k_wall,j,i) + dqdt_precip * dzw(k) * flag |
---|
[1822] | 2367 | |
---|
| 2368 | ENDDO |
---|
| 2369 | |
---|
| 2370 | END SUBROUTINE autoconversion_kessler_ij |
---|
| 2371 | |
---|
[1682] | 2372 | !------------------------------------------------------------------------------! |
---|
| 2373 | ! Description: |
---|
| 2374 | ! ------------ |
---|
| 2375 | !> Accretion rate (Seifert and Beheng, 2006). Call for grid point i,j |
---|
| 2376 | !------------------------------------------------------------------------------! |
---|
[1005] | 2377 | SUBROUTINE accretion_ij( i, j ) |
---|
| 2378 | |
---|
[1320] | 2379 | USE arrays_3d, & |
---|
[1849] | 2380 | ONLY: diss |
---|
[1115] | 2381 | |
---|
[1320] | 2382 | USE cloud_parameters, & |
---|
[1849] | 2383 | ONLY: hyrho |
---|
[1320] | 2384 | |
---|
| 2385 | USE control_parameters, & |
---|
[2292] | 2386 | ONLY: microphysics_morrison, rho_surface |
---|
[1320] | 2387 | |
---|
| 2388 | USE indices, & |
---|
[2232] | 2389 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1320] | 2390 | |
---|
| 2391 | USE kinds |
---|
| 2392 | |
---|
[1005] | 2393 | IMPLICIT NONE |
---|
| 2394 | |
---|
[1682] | 2395 | INTEGER(iwp) :: i !< |
---|
| 2396 | INTEGER(iwp) :: j !< |
---|
| 2397 | INTEGER(iwp) :: k !< |
---|
[1005] | 2398 | |
---|
[1682] | 2399 | REAL(wp) :: accr !< |
---|
[2232] | 2400 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1682] | 2401 | REAL(wp) :: k_cr !< |
---|
[2292] | 2402 | REAL(wp) :: nc_accr !< |
---|
[1682] | 2403 | REAL(wp) :: phi_ac !< |
---|
| 2404 | REAL(wp) :: tau_cloud !< |
---|
[2292] | 2405 | REAL(wp) :: xc !< |
---|
[1320] | 2406 | |
---|
[2292] | 2407 | |
---|
[2232] | 2408 | DO k = nzb+1, nzt |
---|
| 2409 | ! |
---|
| 2410 | !-- Predetermine flag to mask topography |
---|
| 2411 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[2292] | 2412 | nc_accr = MERGE ( nc_1d(k), nc_const, microphysics_morrison ) |
---|
[2232] | 2413 | |
---|
[2292] | 2414 | IF ( ( qc_1d(k) > eps_sb ) .AND. ( qr_1d(k) > eps_sb ) .AND. & |
---|
| 2415 | ( nc_accr > eps_mr ) ) THEN |
---|
[1012] | 2416 | ! |
---|
[1048] | 2417 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
---|
[2155] | 2418 | tau_cloud = 1.0_wp - qc_1d(k) / ( qc_1d(k) + qr_1d(k) ) |
---|
[1012] | 2419 | ! |
---|
[2155] | 2420 | !-- Universal function for accretion process |
---|
[1048] | 2421 | !-- (Seifert and Beheng, 2001): |
---|
[1361] | 2422 | phi_ac = ( tau_cloud / ( tau_cloud + 5.0E-5_wp ) )**4 |
---|
[2292] | 2423 | |
---|
[1012] | 2424 | ! |
---|
[2292] | 2425 | !-- Mean weight of cloud drops |
---|
[2312] | 2426 | xc = MAX( (hyrho(k) * qc_1d(k) / nc_accr), xcmin) |
---|
[2292] | 2427 | ! |
---|
[2155] | 2428 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
---|
| 2429 | !-- Nuijens and Stevens, 2010). The factor of 1.0E4 is needed to |
---|
[1361] | 2430 | !-- convert the dissipation rate (diss) from m2 s-3 to cm2 s-3. |
---|
[1831] | 2431 | IF ( collision_turbulence ) THEN |
---|
[1361] | 2432 | k_cr = k_cr0 * ( 1.0_wp + 0.05_wp * & |
---|
| 2433 | MIN( 600.0_wp, & |
---|
| 2434 | diss(k,j,i) * 1.0E4_wp )**0.25_wp & |
---|
| 2435 | ) |
---|
[1065] | 2436 | ELSE |
---|
[2155] | 2437 | k_cr = k_cr0 |
---|
[1065] | 2438 | ENDIF |
---|
| 2439 | ! |
---|
[1012] | 2440 | !-- Accretion rate (Seifert and Beheng, 2006): |
---|
[2292] | 2441 | accr = k_cr * qc_1d(k) * qr_1d(k) * phi_ac * & |
---|
| 2442 | SQRT( rho_surface * hyrho(k) ) |
---|
[1115] | 2443 | accr = MIN( accr, qc_1d(k) / dt_micro ) |
---|
[1106] | 2444 | |
---|
[2232] | 2445 | qr_1d(k) = qr_1d(k) + accr * dt_micro * flag |
---|
| 2446 | qc_1d(k) = qc_1d(k) - accr * dt_micro * flag |
---|
[2292] | 2447 | IF ( microphysics_morrison ) THEN |
---|
| 2448 | nc_1d(k) = nc_1d(k) - MIN( nc_1d(k), accr / xc * & |
---|
| 2449 | hyrho(k) * dt_micro * flag & |
---|
| 2450 | ) |
---|
| 2451 | ENDIF |
---|
[1115] | 2452 | |
---|
[2292] | 2453 | |
---|
[1005] | 2454 | ENDIF |
---|
[1106] | 2455 | |
---|
[1005] | 2456 | ENDDO |
---|
| 2457 | |
---|
[1000] | 2458 | END SUBROUTINE accretion_ij |
---|
| 2459 | |
---|
[1005] | 2460 | |
---|
[1682] | 2461 | !------------------------------------------------------------------------------! |
---|
| 2462 | ! Description: |
---|
| 2463 | ! ------------ |
---|
| 2464 | !> Collisional breakup rate (Seifert, 2008). Call for grid point i,j |
---|
| 2465 | !------------------------------------------------------------------------------! |
---|
[1005] | 2466 | SUBROUTINE selfcollection_breakup_ij( i, j ) |
---|
| 2467 | |
---|
[1320] | 2468 | USE cloud_parameters, & |
---|
[1849] | 2469 | ONLY: hyrho |
---|
[1320] | 2470 | |
---|
| 2471 | USE control_parameters, & |
---|
[1849] | 2472 | ONLY: rho_surface |
---|
[1320] | 2473 | |
---|
| 2474 | USE indices, & |
---|
[2232] | 2475 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1320] | 2476 | |
---|
| 2477 | USE kinds |
---|
[2155] | 2478 | |
---|
[1005] | 2479 | IMPLICIT NONE |
---|
| 2480 | |
---|
[1682] | 2481 | INTEGER(iwp) :: i !< |
---|
| 2482 | INTEGER(iwp) :: j !< |
---|
| 2483 | INTEGER(iwp) :: k !< |
---|
[1005] | 2484 | |
---|
[1682] | 2485 | REAL(wp) :: breakup !< |
---|
| 2486 | REAL(wp) :: dr !< |
---|
[2232] | 2487 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1682] | 2488 | REAL(wp) :: phi_br !< |
---|
| 2489 | REAL(wp) :: selfcoll !< |
---|
[1320] | 2490 | |
---|
[2232] | 2491 | DO k = nzb+1, nzt |
---|
| 2492 | ! |
---|
| 2493 | !-- Predetermine flag to mask topography |
---|
| 2494 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2495 | |
---|
[1115] | 2496 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
[1012] | 2497 | ! |
---|
[1115] | 2498 | !-- Selfcollection rate (Seifert and Beheng, 2001): |
---|
[1361] | 2499 | selfcoll = k_rr * nr_1d(k) * qr_1d(k) * SQRT( hyrho(k) * rho_surface ) |
---|
[1012] | 2500 | ! |
---|
[1115] | 2501 | !-- Weight averaged diameter of rain drops: |
---|
[1334] | 2502 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
[1115] | 2503 | ! |
---|
[1048] | 2504 | !-- Collisional breakup rate (Seifert, 2008): |
---|
[1353] | 2505 | IF ( dr >= 0.3E-3_wp ) THEN |
---|
| 2506 | phi_br = k_br * ( dr - 1.1E-3_wp ) |
---|
| 2507 | breakup = selfcoll * ( phi_br + 1.0_wp ) |
---|
[1005] | 2508 | ELSE |
---|
[1353] | 2509 | breakup = 0.0_wp |
---|
[1005] | 2510 | ENDIF |
---|
[1048] | 2511 | |
---|
[1115] | 2512 | selfcoll = MAX( breakup - selfcoll, -nr_1d(k) / dt_micro ) |
---|
[2232] | 2513 | nr_1d(k) = nr_1d(k) + selfcoll * dt_micro * flag |
---|
[1106] | 2514 | |
---|
[2155] | 2515 | ENDIF |
---|
[1005] | 2516 | ENDDO |
---|
| 2517 | |
---|
| 2518 | END SUBROUTINE selfcollection_breakup_ij |
---|
| 2519 | |
---|
[1106] | 2520 | |
---|
[1682] | 2521 | !------------------------------------------------------------------------------! |
---|
| 2522 | ! Description: |
---|
| 2523 | ! ------------ |
---|
[2155] | 2524 | !> Evaporation of precipitable water. Condensation is neglected for |
---|
[1682] | 2525 | !> precipitable water. Call for grid point i,j |
---|
| 2526 | !------------------------------------------------------------------------------! |
---|
[1012] | 2527 | SUBROUTINE evaporation_rain_ij( i, j ) |
---|
| 2528 | |
---|
[1320] | 2529 | USE arrays_3d, & |
---|
[1849] | 2530 | ONLY: hyp |
---|
[1048] | 2531 | |
---|
[1320] | 2532 | USE cloud_parameters, & |
---|
[1849] | 2533 | ONLY: hyrho, l_d_cp, l_d_r, l_v, r_v, t_d_pt |
---|
[1320] | 2534 | |
---|
| 2535 | USE constants, & |
---|
| 2536 | ONLY: pi |
---|
| 2537 | |
---|
| 2538 | USE indices, & |
---|
[2232] | 2539 | ONLY: nzb, nzt, wall_flags_0 |
---|
[1320] | 2540 | |
---|
| 2541 | USE kinds |
---|
| 2542 | |
---|
[1012] | 2543 | IMPLICIT NONE |
---|
| 2544 | |
---|
[1682] | 2545 | INTEGER(iwp) :: i !< |
---|
| 2546 | INTEGER(iwp) :: j !< |
---|
| 2547 | INTEGER(iwp) :: k !< |
---|
[1012] | 2548 | |
---|
[1682] | 2549 | REAL(wp) :: alpha !< |
---|
| 2550 | REAL(wp) :: dr !< |
---|
| 2551 | REAL(wp) :: e_s !< |
---|
| 2552 | REAL(wp) :: evap !< |
---|
| 2553 | REAL(wp) :: evap_nr !< |
---|
| 2554 | REAL(wp) :: f_vent !< |
---|
[2232] | 2555 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1682] | 2556 | REAL(wp) :: g_evap !< |
---|
| 2557 | REAL(wp) :: lambda_r !< |
---|
| 2558 | REAL(wp) :: mu_r !< |
---|
| 2559 | REAL(wp) :: mu_r_2 !< |
---|
| 2560 | REAL(wp) :: mu_r_5d2 !< |
---|
| 2561 | REAL(wp) :: nr_0 !< |
---|
| 2562 | REAL(wp) :: q_s !< |
---|
| 2563 | REAL(wp) :: sat !< |
---|
| 2564 | REAL(wp) :: t_l !< |
---|
| 2565 | REAL(wp) :: temp !< |
---|
| 2566 | REAL(wp) :: xr !< |
---|
[1320] | 2567 | |
---|
[2232] | 2568 | DO k = nzb+1, nzt |
---|
| 2569 | ! |
---|
| 2570 | !-- Predetermine flag to mask topography |
---|
| 2571 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2572 | |
---|
[1115] | 2573 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
[1012] | 2574 | ! |
---|
| 2575 | !-- Actual liquid water temperature: |
---|
[1115] | 2576 | t_l = t_d_pt(k) * pt_1d(k) |
---|
[1012] | 2577 | ! |
---|
| 2578 | !-- Saturation vapor pressure at t_l: |
---|
[1361] | 2579 | e_s = 610.78_wp * EXP( 17.269_wp * ( t_l - 273.16_wp ) / & |
---|
| 2580 | ( t_l - 35.86_wp ) & |
---|
| 2581 | ) |
---|
[1012] | 2582 | ! |
---|
| 2583 | !-- Computation of saturation humidity: |
---|
[1361] | 2584 | q_s = 0.622_wp * e_s / ( hyp(k) - 0.378_wp * e_s ) |
---|
[1353] | 2585 | alpha = 0.622_wp * l_d_r * l_d_cp / ( t_l * t_l ) |
---|
[1361] | 2586 | q_s = q_s * ( 1.0_wp + alpha * q_1d(k) ) / ( 1.0_wp + alpha * q_s ) |
---|
[1012] | 2587 | ! |
---|
[1106] | 2588 | !-- Supersaturation: |
---|
[1361] | 2589 | sat = ( q_1d(k) - qr_1d(k) - qc_1d(k) ) / q_s - 1.0_wp |
---|
[1012] | 2590 | ! |
---|
[1361] | 2591 | !-- Evaporation needs only to be calculated in subsaturated regions |
---|
| 2592 | IF ( sat < 0.0_wp ) THEN |
---|
[1012] | 2593 | ! |
---|
[1361] | 2594 | !-- Actual temperature: |
---|
| 2595 | temp = t_l + l_d_cp * ( qc_1d(k) + qr_1d(k) ) |
---|
[2155] | 2596 | |
---|
[1361] | 2597 | g_evap = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * l_v / & |
---|
| 2598 | ( thermal_conductivity_l * temp ) + & |
---|
| 2599 | r_v * temp / ( diff_coeff_l * e_s ) & |
---|
| 2600 | ) |
---|
[1012] | 2601 | ! |
---|
[1361] | 2602 | !-- Mean weight of rain drops |
---|
| 2603 | xr = hyrho(k) * qr_1d(k) / nr_1d(k) |
---|
[1115] | 2604 | ! |
---|
[1361] | 2605 | !-- Weight averaged diameter of rain drops: |
---|
| 2606 | dr = ( xr * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
[1115] | 2607 | ! |
---|
[2155] | 2608 | !-- Compute ventilation factor and intercept parameter |
---|
[1361] | 2609 | !-- (Seifert and Beheng, 2006; Seifert, 2008): |
---|
| 2610 | IF ( ventilation_effect ) THEN |
---|
[1115] | 2611 | ! |
---|
[1361] | 2612 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
---|
| 2613 | !-- Stevens and Seifert, 2008): |
---|
| 2614 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * ( dr - 1.4E-3_wp ) ) ) |
---|
| 2615 | ! |
---|
| 2616 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
| 2617 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
---|
| 2618 | ( mu_r + 1.0_wp ) & |
---|
| 2619 | )**( 1.0_wp / 3.0_wp ) / dr |
---|
[1115] | 2620 | |
---|
[1361] | 2621 | mu_r_2 = mu_r + 2.0_wp |
---|
[2155] | 2622 | mu_r_5d2 = mu_r + 2.5_wp |
---|
[1361] | 2623 | |
---|
[2155] | 2624 | f_vent = a_vent * gamm( mu_r_2 ) * lambda_r**( -mu_r_2 ) + & |
---|
[1361] | 2625 | b_vent * schmidt_p_1d3 * & |
---|
| 2626 | SQRT( a_term / kin_vis_air ) * gamm( mu_r_5d2 ) * & |
---|
| 2627 | lambda_r**( -mu_r_5d2 ) * & |
---|
| 2628 | ( 1.0_wp - & |
---|
| 2629 | 0.5_wp * ( b_term / a_term ) * & |
---|
| 2630 | ( lambda_r / ( c_term + lambda_r ) & |
---|
| 2631 | )**mu_r_5d2 - & |
---|
| 2632 | 0.125_wp * ( b_term / a_term )**2 * & |
---|
| 2633 | ( lambda_r / ( 2.0_wp * c_term + lambda_r ) & |
---|
| 2634 | )**mu_r_5d2 - & |
---|
| 2635 | 0.0625_wp * ( b_term / a_term )**3 * & |
---|
| 2636 | ( lambda_r / ( 3.0_wp * c_term + lambda_r ) & |
---|
| 2637 | )**mu_r_5d2 - & |
---|
[2155] | 2638 | 0.0390625_wp * ( b_term / a_term )**4 * & |
---|
[1361] | 2639 | ( lambda_r / ( 4.0_wp * c_term + lambda_r ) & |
---|
| 2640 | )**mu_r_5d2 & |
---|
| 2641 | ) |
---|
| 2642 | |
---|
| 2643 | nr_0 = nr_1d(k) * lambda_r**( mu_r + 1.0_wp ) / & |
---|
[2155] | 2644 | gamm( mu_r + 1.0_wp ) |
---|
[1361] | 2645 | ELSE |
---|
| 2646 | f_vent = 1.0_wp |
---|
| 2647 | nr_0 = nr_1d(k) * dr |
---|
| 2648 | ENDIF |
---|
[1012] | 2649 | ! |
---|
[1361] | 2650 | !-- Evaporation rate of rain water content (Seifert and Beheng, 2006): |
---|
| 2651 | evap = 2.0_wp * pi * nr_0 * g_evap * f_vent * sat / hyrho(k) |
---|
| 2652 | evap = MAX( evap, -qr_1d(k) / dt_micro ) |
---|
| 2653 | evap_nr = MAX( c_evap * evap / xr * hyrho(k), & |
---|
| 2654 | -nr_1d(k) / dt_micro ) |
---|
[1106] | 2655 | |
---|
[2232] | 2656 | qr_1d(k) = qr_1d(k) + evap * dt_micro * flag |
---|
| 2657 | nr_1d(k) = nr_1d(k) + evap_nr * dt_micro * flag |
---|
[1115] | 2658 | |
---|
[1361] | 2659 | ENDIF |
---|
[2155] | 2660 | ENDIF |
---|
[1106] | 2661 | |
---|
[1012] | 2662 | ENDDO |
---|
| 2663 | |
---|
| 2664 | END SUBROUTINE evaporation_rain_ij |
---|
| 2665 | |
---|
[1106] | 2666 | |
---|
[1682] | 2667 | !------------------------------------------------------------------------------! |
---|
| 2668 | ! Description: |
---|
| 2669 | ! ------------ |
---|
[2155] | 2670 | !> Sedimentation of cloud droplets (Ackermann et al., 2009, MWR). |
---|
[1682] | 2671 | !> Call for grid point i,j |
---|
| 2672 | !------------------------------------------------------------------------------! |
---|
[1012] | 2673 | SUBROUTINE sedimentation_cloud_ij( i, j ) |
---|
| 2674 | |
---|
[1320] | 2675 | USE arrays_3d, & |
---|
[1849] | 2676 | ONLY: ddzu, dzu, prr |
---|
[1320] | 2677 | |
---|
| 2678 | USE cloud_parameters, & |
---|
[1849] | 2679 | ONLY: hyrho, l_d_cp, pt_d_t |
---|
[1320] | 2680 | |
---|
| 2681 | USE control_parameters, & |
---|
[2292] | 2682 | ONLY: call_microphysics_at_all_substeps, & |
---|
| 2683 | intermediate_timestep_count, microphysics_morrison |
---|
[1320] | 2684 | |
---|
| 2685 | USE indices, & |
---|
[2232] | 2686 | ONLY: nzb, nzb, nzt, wall_flags_0 |
---|
[1320] | 2687 | |
---|
| 2688 | USE kinds |
---|
[2155] | 2689 | |
---|
[1691] | 2690 | USE statistics, & |
---|
| 2691 | ONLY: weight_substep |
---|
| 2692 | |
---|
[1012] | 2693 | IMPLICIT NONE |
---|
| 2694 | |
---|
[1849] | 2695 | INTEGER(iwp) :: i !< |
---|
| 2696 | INTEGER(iwp) :: j !< |
---|
| 2697 | INTEGER(iwp) :: k !< |
---|
[1106] | 2698 | |
---|
[2292] | 2699 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
| 2700 | REAL(wp) :: nc_sedi !< |
---|
| 2701 | |
---|
| 2702 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nc !< |
---|
[2232] | 2703 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qc !< |
---|
[1115] | 2704 | |
---|
[1353] | 2705 | sed_qc(nzt+1) = 0.0_wp |
---|
[2375] | 2706 | sed_nc(nzt+1) = 0.0_wp |
---|
[1012] | 2707 | |
---|
[2375] | 2708 | |
---|
[2232] | 2709 | DO k = nzt, nzb+1, -1 |
---|
| 2710 | ! |
---|
| 2711 | !-- Predetermine flag to mask topography |
---|
| 2712 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
[2292] | 2713 | nc_sedi = MERGE( nc_1d(k), nc_const, microphysics_morrison ) |
---|
| 2714 | ! |
---|
| 2715 | !-- Sedimentation fluxes for number concentration are only calculated |
---|
| 2716 | !-- for cloud_scheme = 'morrison' |
---|
| 2717 | IF ( microphysics_morrison ) THEN |
---|
| 2718 | IF ( qc_1d(k) > eps_sb .AND. nc_1d(k) > eps_mr ) THEN |
---|
[2312] | 2719 | sed_nc(k) = sed_qc_const * & |
---|
[2292] | 2720 | ( qc_1d(k) * hyrho(k) )**( 2.0_wp / 3.0_wp ) * & |
---|
| 2721 | ( nc_1d(k) )**( 1.0_wp / 3.0_wp ) |
---|
| 2722 | ELSE |
---|
| 2723 | sed_nc(k) = 0.0_wp |
---|
| 2724 | ENDIF |
---|
[2232] | 2725 | |
---|
[2292] | 2726 | sed_nc(k) = MIN( sed_nc(k), hyrho(k) * dzu(k+1) * & |
---|
| 2727 | nc_1d(k) / dt_micro + sed_nc(k+1) & |
---|
| 2728 | ) * flag |
---|
| 2729 | |
---|
| 2730 | nc_1d(k) = nc_1d(k) + ( sed_nc(k+1) - sed_nc(k) ) * & |
---|
| 2731 | ddzu(k+1) / hyrho(k) * dt_micro * flag |
---|
| 2732 | ENDIF |
---|
| 2733 | |
---|
[2375] | 2734 | IF ( qc_1d(k) > eps_sb .AND. nc_sedi > eps_mr ) THEN |
---|
[2292] | 2735 | sed_qc(k) = sed_qc_const * nc_sedi**( -2.0_wp / 3.0_wp ) * & |
---|
[2232] | 2736 | ( qc_1d(k) * hyrho(k) )**( 5.0_wp / 3.0_wp ) * flag |
---|
[1115] | 2737 | ELSE |
---|
[1353] | 2738 | sed_qc(k) = 0.0_wp |
---|
[1012] | 2739 | ENDIF |
---|
[1115] | 2740 | |
---|
[1361] | 2741 | sed_qc(k) = MIN( sed_qc(k), hyrho(k) * dzu(k+1) * q_1d(k) / & |
---|
| 2742 | dt_micro + sed_qc(k+1) & |
---|
[2232] | 2743 | ) * flag |
---|
[1115] | 2744 | |
---|
[1361] | 2745 | q_1d(k) = q_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
[2232] | 2746 | hyrho(k) * dt_micro * flag |
---|
[2155] | 2747 | qc_1d(k) = qc_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
[2232] | 2748 | hyrho(k) * dt_micro * flag |
---|
[1361] | 2749 | pt_1d(k) = pt_1d(k) - ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
---|
[2232] | 2750 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro * flag |
---|
[1115] | 2751 | |
---|
[1691] | 2752 | ! |
---|
| 2753 | !-- Compute the precipitation rate of cloud (fog) droplets |
---|
[1822] | 2754 | IF ( call_microphysics_at_all_substeps ) THEN |
---|
[2232] | 2755 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) * & |
---|
| 2756 | weight_substep(intermediate_timestep_count) * flag |
---|
[1822] | 2757 | ELSE |
---|
[2232] | 2758 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) * flag |
---|
[1691] | 2759 | ENDIF |
---|
| 2760 | |
---|
[1012] | 2761 | ENDDO |
---|
| 2762 | |
---|
| 2763 | END SUBROUTINE sedimentation_cloud_ij |
---|
| 2764 | |
---|
[1106] | 2765 | |
---|
[1682] | 2766 | !------------------------------------------------------------------------------! |
---|
| 2767 | ! Description: |
---|
| 2768 | ! ------------ |
---|
| 2769 | !> Computation of sedimentation flux. Implementation according to Stevens |
---|
| 2770 | !> and Seifert (2008). Code is based on UCLA-LES. Call for grid point i,j |
---|
| 2771 | !------------------------------------------------------------------------------! |
---|
[1012] | 2772 | SUBROUTINE sedimentation_rain_ij( i, j ) |
---|
| 2773 | |
---|
[1320] | 2774 | USE arrays_3d, & |
---|
[1849] | 2775 | ONLY: ddzu, dzu, prr |
---|
[1320] | 2776 | |
---|
| 2777 | USE cloud_parameters, & |
---|
[1849] | 2778 | ONLY: hyrho, l_d_cp, pt_d_t |
---|
[1320] | 2779 | |
---|
| 2780 | USE control_parameters, & |
---|
[1849] | 2781 | ONLY: call_microphysics_at_all_substeps, intermediate_timestep_count |
---|
[1320] | 2782 | |
---|
| 2783 | USE indices, & |
---|
[2232] | 2784 | ONLY: nzb, nzb, nzt, wall_flags_0 |
---|
[1320] | 2785 | |
---|
| 2786 | USE kinds |
---|
| 2787 | |
---|
| 2788 | USE statistics, & |
---|
| 2789 | ONLY: weight_substep |
---|
[2155] | 2790 | |
---|
[2232] | 2791 | USE surface_mod, & |
---|
| 2792 | ONLY : bc_h |
---|
[2312] | 2793 | |
---|
[1012] | 2794 | IMPLICIT NONE |
---|
| 2795 | |
---|
[2232] | 2796 | INTEGER(iwp) :: i !< running index x direction |
---|
| 2797 | INTEGER(iwp) :: j !< running index y direction |
---|
| 2798 | INTEGER(iwp) :: k !< running index z direction |
---|
| 2799 | INTEGER(iwp) :: k_run !< |
---|
| 2800 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 2801 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
---|
| 2802 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
---|
[1012] | 2803 | |
---|
[1682] | 2804 | REAL(wp) :: c_run !< |
---|
| 2805 | REAL(wp) :: d_max !< |
---|
| 2806 | REAL(wp) :: d_mean !< |
---|
| 2807 | REAL(wp) :: d_min !< |
---|
| 2808 | REAL(wp) :: dr !< |
---|
| 2809 | REAL(wp) :: flux !< |
---|
[2232] | 2810 | REAL(wp) :: flag !< flag to indicate first grid level above surface |
---|
[1682] | 2811 | REAL(wp) :: lambda_r !< |
---|
| 2812 | REAL(wp) :: mu_r !< |
---|
| 2813 | REAL(wp) :: z_run !< |
---|
[1320] | 2814 | |
---|
[1682] | 2815 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_nr !< |
---|
| 2816 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_qr !< |
---|
| 2817 | REAL(wp), DIMENSION(nzb:nzt+1) :: nr_slope !< |
---|
| 2818 | REAL(wp), DIMENSION(nzb:nzt+1) :: qr_slope !< |
---|
| 2819 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nr !< |
---|
| 2820 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qr !< |
---|
| 2821 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_nr !< |
---|
| 2822 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_qr !< |
---|
[1320] | 2823 | |
---|
[1012] | 2824 | ! |
---|
[2155] | 2825 | !-- Compute velocities |
---|
[2232] | 2826 | DO k = nzb+1, nzt |
---|
| 2827 | ! |
---|
| 2828 | !-- Predetermine flag to mask topography |
---|
| 2829 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2830 | |
---|
[1115] | 2831 | IF ( qr_1d(k) > eps_sb ) THEN |
---|
| 2832 | ! |
---|
| 2833 | !-- Weight averaged diameter of rain drops: |
---|
[1334] | 2834 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
---|
[1115] | 2835 | ! |
---|
| 2836 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
---|
| 2837 | !-- Stevens and Seifert, 2008): |
---|
[1353] | 2838 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * ( dr - 1.4E-3_wp ) ) ) |
---|
[1115] | 2839 | ! |
---|
| 2840 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
---|
[1361] | 2841 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
---|
| 2842 | ( mu_r + 1.0_wp ) )**( 1.0_wp / 3.0_wp ) / dr |
---|
[1115] | 2843 | |
---|
[1361] | 2844 | w_nr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
---|
| 2845 | a_term - b_term * ( 1.0_wp + & |
---|
| 2846 | c_term / lambda_r )**( -1.0_wp * & |
---|
| 2847 | ( mu_r + 1.0_wp ) ) & |
---|
| 2848 | ) & |
---|
[2232] | 2849 | ) * flag |
---|
[1361] | 2850 | w_qr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
---|
| 2851 | a_term - b_term * ( 1.0_wp + & |
---|
| 2852 | c_term / lambda_r )**( -1.0_wp * & |
---|
| 2853 | ( mu_r + 4.0_wp ) ) & |
---|
| 2854 | ) & |
---|
[2232] | 2855 | ) * flag |
---|
[1065] | 2856 | ELSE |
---|
[1353] | 2857 | w_nr(k) = 0.0_wp |
---|
| 2858 | w_qr(k) = 0.0_wp |
---|
[1065] | 2859 | ENDIF |
---|
| 2860 | ENDDO |
---|
[1048] | 2861 | ! |
---|
[2312] | 2862 | !-- Adjust boundary values using surface data type. |
---|
[2232] | 2863 | !-- Upward facing non-natural |
---|
[2312] | 2864 | surf_s = bc_h(0)%start_index(j,i) |
---|
[2232] | 2865 | surf_e = bc_h(0)%end_index(j,i) |
---|
| 2866 | DO m = surf_s, surf_e |
---|
| 2867 | k = bc_h(0)%k(m) |
---|
| 2868 | w_nr(k-1) = w_nr(k) |
---|
| 2869 | w_qr(k-1) = w_qr(k) |
---|
| 2870 | ENDDO |
---|
| 2871 | ! |
---|
| 2872 | !-- Downward facing non-natural |
---|
[2312] | 2873 | surf_s = bc_h(1)%start_index(j,i) |
---|
[2232] | 2874 | surf_e = bc_h(1)%end_index(j,i) |
---|
| 2875 | DO m = surf_s, surf_e |
---|
| 2876 | k = bc_h(1)%k(m) |
---|
| 2877 | w_nr(k+1) = w_nr(k) |
---|
| 2878 | w_qr(k+1) = w_qr(k) |
---|
| 2879 | ENDDO |
---|
| 2880 | ! |
---|
| 2881 | !-- Neumann boundary condition at model top |
---|
[1353] | 2882 | w_nr(nzt+1) = 0.0_wp |
---|
| 2883 | w_qr(nzt+1) = 0.0_wp |
---|
[1065] | 2884 | ! |
---|
| 2885 | !-- Compute Courant number |
---|
[2232] | 2886 | DO k = nzb+1, nzt |
---|
| 2887 | ! |
---|
| 2888 | !-- Predetermine flag to mask topography |
---|
| 2889 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2890 | |
---|
[1361] | 2891 | c_nr(k) = 0.25_wp * ( w_nr(k-1) + 2.0_wp * w_nr(k) + w_nr(k+1) ) * & |
---|
[2232] | 2892 | dt_micro * ddzu(k) * flag |
---|
[1361] | 2893 | c_qr(k) = 0.25_wp * ( w_qr(k-1) + 2.0_wp * w_qr(k) + w_qr(k+1) ) * & |
---|
[2232] | 2894 | dt_micro * ddzu(k) * flag |
---|
[2155] | 2895 | ENDDO |
---|
[1065] | 2896 | ! |
---|
| 2897 | !-- Limit slopes with monotonized centered (MC) limiter (van Leer, 1977): |
---|
| 2898 | IF ( limiter_sedimentation ) THEN |
---|
| 2899 | |
---|
[2232] | 2900 | DO k = nzb+1, nzt |
---|
| 2901 | ! |
---|
| 2902 | !-- Predetermine flag to mask topography |
---|
| 2903 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2904 | |
---|
[1646] | 2905 | d_mean = 0.5_wp * ( qr_1d(k+1) - qr_1d(k-1) ) |
---|
[1115] | 2906 | d_min = qr_1d(k) - MIN( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) |
---|
| 2907 | d_max = MAX( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) - qr_1d(k) |
---|
[1065] | 2908 | |
---|
[1361] | 2909 | qr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
---|
| 2910 | 2.0_wp * d_max, & |
---|
[2232] | 2911 | ABS( d_mean ) ) * flag |
---|
[1065] | 2912 | |
---|
[1646] | 2913 | d_mean = 0.5_wp * ( nr_1d(k+1) - nr_1d(k-1) ) |
---|
[1115] | 2914 | d_min = nr_1d(k) - MIN( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) |
---|
| 2915 | d_max = MAX( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) - nr_1d(k) |
---|
[1065] | 2916 | |
---|
[1361] | 2917 | nr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
---|
| 2918 | 2.0_wp * d_max, & |
---|
[2232] | 2919 | ABS( d_mean ) ) * flag |
---|
[1022] | 2920 | ENDDO |
---|
[1048] | 2921 | |
---|
[1065] | 2922 | ELSE |
---|
[1106] | 2923 | |
---|
[1353] | 2924 | nr_slope = 0.0_wp |
---|
| 2925 | qr_slope = 0.0_wp |
---|
[1106] | 2926 | |
---|
[1065] | 2927 | ENDIF |
---|
[1115] | 2928 | |
---|
[1353] | 2929 | sed_nr(nzt+1) = 0.0_wp |
---|
| 2930 | sed_qr(nzt+1) = 0.0_wp |
---|
[1065] | 2931 | ! |
---|
| 2932 | !-- Compute sedimentation flux |
---|
[2232] | 2933 | DO k = nzt, nzb+1, -1 |
---|
[1065] | 2934 | ! |
---|
[2232] | 2935 | !-- Predetermine flag to mask topography |
---|
| 2936 | flag = MERGE( 1.0_wp, 0.0_wp, BTEST( wall_flags_0(k,j,i), 0 ) ) |
---|
| 2937 | ! |
---|
[2312] | 2938 | !-- Sum up all rain drop number densities which contribute to the flux |
---|
[1065] | 2939 | !-- through k-1/2 |
---|
[1353] | 2940 | flux = 0.0_wp |
---|
| 2941 | z_run = 0.0_wp ! height above z(k) |
---|
[1065] | 2942 | k_run = k |
---|
[1346] | 2943 | c_run = MIN( 1.0_wp, c_nr(k) ) |
---|
[1353] | 2944 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
---|
[1361] | 2945 | flux = flux + hyrho(k_run) * & |
---|
| 2946 | ( nr_1d(k_run) + nr_slope(k_run) * ( 1.0_wp - c_run ) * & |
---|
[2232] | 2947 | 0.5_wp ) * c_run * dzu(k_run) * flag |
---|
| 2948 | z_run = z_run + dzu(k_run) * flag |
---|
| 2949 | k_run = k_run + 1 * flag |
---|
| 2950 | c_run = MIN( 1.0_wp, c_nr(k_run) - z_run * ddzu(k_run) ) * flag |
---|
[1022] | 2951 | ENDDO |
---|
| 2952 | ! |
---|
[2155] | 2953 | !-- It is not allowed to sediment more rain drop number density than |
---|
[1065] | 2954 | !-- available |
---|
[1361] | 2955 | flux = MIN( flux, & |
---|
[1115] | 2956 | hyrho(k) * dzu(k+1) * nr_1d(k) + sed_nr(k+1) * dt_micro ) |
---|
[1065] | 2957 | |
---|
[2232] | 2958 | sed_nr(k) = flux / dt_micro * flag |
---|
[1361] | 2959 | nr_1d(k) = nr_1d(k) + ( sed_nr(k+1) - sed_nr(k) ) * ddzu(k+1) / & |
---|
[2232] | 2960 | hyrho(k) * dt_micro * flag |
---|
[1065] | 2961 | ! |
---|
[2155] | 2962 | !-- Sum up all rain water content which contributes to the flux |
---|
[1065] | 2963 | !-- through k-1/2 |
---|
[1353] | 2964 | flux = 0.0_wp |
---|
| 2965 | z_run = 0.0_wp ! height above z(k) |
---|
[1065] | 2966 | k_run = k |
---|
[1346] | 2967 | c_run = MIN( 1.0_wp, c_qr(k) ) |
---|
[1106] | 2968 | |
---|
[1361] | 2969 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
---|
[1106] | 2970 | |
---|
[1361] | 2971 | flux = flux + hyrho(k_run) * & |
---|
| 2972 | ( qr_1d(k_run) + qr_slope(k_run) * ( 1.0_wp - c_run ) * & |
---|
[2232] | 2973 | 0.5_wp ) * c_run * dzu(k_run) * flag |
---|
| 2974 | z_run = z_run + dzu(k_run) * flag |
---|
| 2975 | k_run = k_run + 1 * flag |
---|
| 2976 | c_run = MIN( 1.0_wp, c_qr(k_run) - z_run * ddzu(k_run) ) * flag |
---|
[1106] | 2977 | |
---|
[1065] | 2978 | ENDDO |
---|
| 2979 | ! |
---|
| 2980 | !-- It is not allowed to sediment more rain water content than available |
---|
[1361] | 2981 | flux = MIN( flux, & |
---|
[1115] | 2982 | hyrho(k) * dzu(k) * qr_1d(k) + sed_qr(k+1) * dt_micro ) |
---|
[1065] | 2983 | |
---|
[2232] | 2984 | sed_qr(k) = flux / dt_micro * flag |
---|
[1115] | 2985 | |
---|
[1361] | 2986 | qr_1d(k) = qr_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
[2232] | 2987 | hyrho(k) * dt_micro * flag |
---|
[1361] | 2988 | q_1d(k) = q_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
[2232] | 2989 | hyrho(k) * dt_micro * flag |
---|
[1361] | 2990 | pt_1d(k) = pt_1d(k) - ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
---|
[2232] | 2991 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro * flag |
---|
[1065] | 2992 | ! |
---|
| 2993 | !-- Compute the rain rate |
---|
[1361] | 2994 | IF ( call_microphysics_at_all_substeps ) THEN |
---|
[1691] | 2995 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) & |
---|
[2232] | 2996 | * weight_substep(intermediate_timestep_count) * flag |
---|
[1361] | 2997 | ELSE |
---|
[2232] | 2998 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) * flag |
---|
[1361] | 2999 | ENDIF |
---|
| 3000 | |
---|
[1065] | 3001 | ENDDO |
---|
[1115] | 3002 | |
---|
[1691] | 3003 | END SUBROUTINE sedimentation_rain_ij |
---|
[1012] | 3004 | |
---|
[1691] | 3005 | |
---|
| 3006 | !------------------------------------------------------------------------------! |
---|
| 3007 | ! Description: |
---|
| 3008 | ! ------------ |
---|
| 3009 | !> This subroutine computes the precipitation amount due to gravitational |
---|
| 3010 | !> settling of rain and cloud (fog) droplets |
---|
| 3011 | !------------------------------------------------------------------------------! |
---|
| 3012 | SUBROUTINE calc_precipitation_amount_ij( i, j ) |
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| 3013 | |
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[1849] | 3014 | USE arrays_3d, & |
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| 3015 | ONLY: precipitation_amount, prr |
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| 3016 | |
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[1691] | 3017 | USE cloud_parameters, & |
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[1849] | 3018 | ONLY: hyrho |
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[1691] | 3019 | |
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| 3020 | USE control_parameters, & |
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| 3021 | ONLY: call_microphysics_at_all_substeps, dt_do2d_xy, dt_3d, & |
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| 3022 | intermediate_timestep_count, intermediate_timestep_count_max,& |
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[1822] | 3023 | precipitation_amount_interval, time_do2d_xy |
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[1691] | 3024 | |
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| 3025 | USE indices, & |
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[2232] | 3026 | ONLY: nzb, nzt, wall_flags_0 |
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[1691] | 3027 | |
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| 3028 | USE kinds |
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| 3029 | |
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[2232] | 3030 | USE surface_mod, & |
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| 3031 | ONLY : bc_h |
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| 3032 | |
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[1691] | 3033 | IMPLICIT NONE |
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| 3034 | |
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[2232] | 3035 | INTEGER(iwp) :: i !< running index x direction |
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| 3036 | INTEGER(iwp) :: j !< running index y direction |
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| 3037 | INTEGER(iwp) :: k !< running index z direction |
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| 3038 | INTEGER(iwp) :: m !< running index surface elements |
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| 3039 | INTEGER(iwp) :: surf_e !< End index of surface elements at (j,i)-gridpoint |
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| 3040 | INTEGER(iwp) :: surf_s !< Start index of surface elements at (j,i)-gridpoint |
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[1691] | 3041 | |
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| 3042 | IF ( ( dt_do2d_xy - time_do2d_xy ) < precipitation_amount_interval .AND.& |
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| 3043 | ( .NOT. call_microphysics_at_all_substeps .OR. & |
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| 3044 | intermediate_timestep_count == intermediate_timestep_count_max ) ) & |
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| 3045 | THEN |
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| 3046 | |
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[2312] | 3047 | surf_s = bc_h(0)%start_index(j,i) |
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[2232] | 3048 | surf_e = bc_h(0)%end_index(j,i) |
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| 3049 | DO m = surf_s, surf_e |
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| 3050 | k = bc_h(0)%k(m) |
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| 3051 | precipitation_amount(j,i) = precipitation_amount(j,i) + & |
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| 3052 | prr(k,j,i) * hyrho(k) * dt_3d |
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| 3053 | ENDDO |
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| 3054 | |
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[1048] | 3055 | ENDIF |
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| 3056 | |
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[1691] | 3057 | END SUBROUTINE calc_precipitation_amount_ij |
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[1012] | 3058 | |
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[1361] | 3059 | !------------------------------------------------------------------------------! |
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[1682] | 3060 | ! Description: |
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| 3061 | ! ------------ |
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| 3062 | !> This function computes the gamma function (Press et al., 1992). |
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[2155] | 3063 | !> The gamma function is needed for the calculation of the evaporation |
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[1682] | 3064 | !> of rain drops. |
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[1361] | 3065 | !------------------------------------------------------------------------------! |
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[2155] | 3066 | FUNCTION gamm( xx ) |
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[1320] | 3067 | |
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| 3068 | USE kinds |
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| 3069 | |
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[2155] | 3070 | IMPLICIT NONE |
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[1106] | 3071 | |
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[1682] | 3072 | INTEGER(iwp) :: j !< |
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[1320] | 3073 | |
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[1682] | 3074 | REAL(wp) :: gamm !< |
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| 3075 | REAL(wp) :: ser !< |
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| 3076 | REAL(wp) :: tmp !< |
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| 3077 | REAL(wp) :: x_gamm !< |
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| 3078 | REAL(wp) :: xx !< |
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| 3079 | REAL(wp) :: y_gamm !< |
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[1320] | 3080 | |
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[1849] | 3081 | |
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| 3082 | REAL(wp), PARAMETER :: stp = 2.5066282746310005_wp !< |
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| 3083 | REAL(wp), PARAMETER :: cof(6) = (/ 76.18009172947146_wp, & |
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| 3084 | -86.50532032941677_wp, & |
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| 3085 | 24.01409824083091_wp, & |
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| 3086 | -1.231739572450155_wp, & |
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| 3087 | 0.1208650973866179E-2_wp, & |
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| 3088 | -0.5395239384953E-5_wp /) !< |
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| 3089 | |
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| 3090 | x_gamm = xx |
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| 3091 | y_gamm = x_gamm |
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[1353] | 3092 | tmp = x_gamm + 5.5_wp |
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[1849] | 3093 | tmp = ( x_gamm + 0.5_wp ) * LOG( tmp ) - tmp |
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[1334] | 3094 | ser = 1.000000000190015_wp |
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[1106] | 3095 | |
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[2155] | 3096 | DO j = 1, 6 |
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| 3097 | y_gamm = y_gamm + 1.0_wp |
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| 3098 | ser = ser + cof( j ) / y_gamm |
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[1106] | 3099 | ENDDO |
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| 3100 | |
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[2155] | 3101 | ! |
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| 3102 | !-- Until this point the algorithm computes the logarithm of the gamma |
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| 3103 | !-- function. Hence, the exponential function is used. |
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| 3104 | ! gamm = EXP( tmp + LOG( stp * ser / x_gamm ) ) |
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| 3105 | gamm = EXP( tmp ) * stp * ser / x_gamm |
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[1106] | 3106 | |
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[2155] | 3107 | RETURN |
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[1012] | 3108 | |
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[2155] | 3109 | END FUNCTION gamm |
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| 3110 | |
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[1012] | 3111 | END MODULE microphysics_mod |
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