| 1 | !> @file microphysics.f90 |
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| 2 | !--------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 7 | ! either version 3 of the License, or (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with |
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| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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| 16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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| 17 | !--------------------------------------------------------------------------------! |
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| 18 | ! |
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| 19 | ! Current revisions: |
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| 20 | ! ------------------ |
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| 21 | ! |
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| 22 | ! |
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| 23 | ! Former revisions: |
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| 24 | ! ----------------- |
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| 25 | ! $Id: microphysics.f90 1823 2016-04-07 08:57:52Z hoffmann $ |
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| 26 | ! |
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| 27 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 28 | ! Unused variables removed. |
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| 29 | ! Kessler scheme integrated. |
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| 30 | ! |
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| 31 | ! 1691 2015-10-26 16:17:44Z maronga |
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| 32 | ! Added new routine calc_precipitation_amount. The routine now allows to account |
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| 33 | ! for precipitation due to sedimenation of cloud (fog) droplets |
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| 34 | ! |
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| 35 | ! 1682 2015-10-07 23:56:08Z knoop |
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| 36 | ! Code annotations made doxygen readable |
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| 37 | ! |
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| 38 | ! 1646 2015-09-02 16:00:10Z hoffmann |
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| 39 | ! Bugfix: Wrong computation of d_mean. |
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| 40 | ! |
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| 41 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 42 | ! Bugfix in sedimentation_rain: Index corrected. |
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| 43 | ! Vectorized version of adjust_cloud added. |
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| 44 | ! Little reformatting of the code. |
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| 45 | ! |
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| 46 | ! 1353 2014-04-08 15:21:23Z heinze |
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| 47 | ! REAL constants provided with KIND-attribute |
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| 48 | ! |
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| 49 | ! 1346 2014-03-27 13:18:20Z heinze |
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| 50 | ! Bugfix: REAL constants provided with KIND-attribute especially in call of |
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| 51 | ! intrinsic function like MAX, MIN, SIGN |
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| 52 | ! |
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| 53 | ! 1334 2014-03-25 12:21:40Z heinze |
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| 54 | ! Bugfix: REAL constants provided with KIND-attribute |
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| 55 | ! |
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| 56 | ! 1322 2014-03-20 16:38:49Z raasch |
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| 57 | ! REAL constants defined as wp-kind |
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| 58 | ! |
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| 59 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 60 | ! ONLY-attribute added to USE-statements, |
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| 61 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 62 | ! kinds are defined in new module kinds, |
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| 63 | ! comment fields (!:) to be used for variable explanations added to |
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| 64 | ! all variable declaration statements |
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| 65 | ! |
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| 66 | ! 1241 2013-10-30 11:36:58Z heinze |
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| 67 | ! hyp and rho have to be calculated at each time step if data from external |
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| 68 | ! file LSF_DATA are used |
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| 69 | ! |
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| 70 | ! 1115 2013-03-26 18:16:16Z hoffmann |
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| 71 | ! microphyical tendencies are calculated in microphysics_control in an optimized |
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| 72 | ! way; unrealistic values are prevented; bugfix in evaporation; some reformatting |
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| 73 | ! |
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| 74 | ! 1106 2013-03-04 05:31:38Z raasch |
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| 75 | ! small changes in code formatting |
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| 76 | ! |
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| 77 | ! 1092 2013-02-02 11:24:22Z raasch |
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| 78 | ! unused variables removed |
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| 79 | ! file put under GPL |
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| 80 | ! |
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| 81 | ! 1065 2012-11-22 17:42:36Z hoffmann |
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| 82 | ! Sedimentation process implemented according to Stevens and Seifert (2008). |
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| 83 | ! Turbulence effects on autoconversion and accretion added (Seifert, Nuijens |
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| 84 | ! and Stevens, 2010). |
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| 85 | ! |
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| 86 | ! 1053 2012-11-13 17:11:03Z hoffmann |
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| 87 | ! initial revision |
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| 88 | ! |
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| 89 | ! Description: |
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| 90 | ! ------------ |
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| 91 | !> Calculate cloud microphysics according to the two moment bulk |
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| 92 | !> scheme by Seifert and Beheng (2006). |
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| 93 | !------------------------------------------------------------------------------! |
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| 94 | MODULE microphysics_mod |
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| 95 | |
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| 96 | |
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| 97 | PRIVATE |
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| 98 | PUBLIC microphysics_control |
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| 99 | |
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| 100 | INTERFACE microphysics_control |
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| 101 | MODULE PROCEDURE microphysics_control |
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| 102 | MODULE PROCEDURE microphysics_control_ij |
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| 103 | END INTERFACE microphysics_control |
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| 104 | |
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| 105 | INTERFACE adjust_cloud |
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| 106 | MODULE PROCEDURE adjust_cloud |
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| 107 | MODULE PROCEDURE adjust_cloud_ij |
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| 108 | END INTERFACE adjust_cloud |
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| 109 | |
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| 110 | INTERFACE autoconversion |
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| 111 | MODULE PROCEDURE autoconversion |
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| 112 | MODULE PROCEDURE autoconversion_ij |
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| 113 | END INTERFACE autoconversion |
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| 114 | |
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| 115 | INTERFACE autoconversion_kessler |
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| 116 | MODULE PROCEDURE autoconversion_kessler |
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| 117 | MODULE PROCEDURE autoconversion_kessler_ij |
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| 118 | END INTERFACE autoconversion_kessler |
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| 119 | |
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| 120 | INTERFACE accretion |
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| 121 | MODULE PROCEDURE accretion |
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| 122 | MODULE PROCEDURE accretion_ij |
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| 123 | END INTERFACE accretion |
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| 124 | |
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| 125 | INTERFACE selfcollection_breakup |
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| 126 | MODULE PROCEDURE selfcollection_breakup |
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| 127 | MODULE PROCEDURE selfcollection_breakup_ij |
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| 128 | END INTERFACE selfcollection_breakup |
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| 129 | |
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| 130 | INTERFACE evaporation_rain |
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| 131 | MODULE PROCEDURE evaporation_rain |
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| 132 | MODULE PROCEDURE evaporation_rain_ij |
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| 133 | END INTERFACE evaporation_rain |
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| 134 | |
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| 135 | INTERFACE sedimentation_cloud |
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| 136 | MODULE PROCEDURE sedimentation_cloud |
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| 137 | MODULE PROCEDURE sedimentation_cloud_ij |
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| 138 | END INTERFACE sedimentation_cloud |
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| 139 | |
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| 140 | INTERFACE sedimentation_rain |
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| 141 | MODULE PROCEDURE sedimentation_rain |
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| 142 | MODULE PROCEDURE sedimentation_rain_ij |
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| 143 | END INTERFACE sedimentation_rain |
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| 144 | |
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| 145 | INTERFACE calc_precipitation_amount |
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| 146 | MODULE PROCEDURE calc_precipitation_amount |
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| 147 | MODULE PROCEDURE calc_precipitation_amount_ij |
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| 148 | END INTERFACE calc_precipitation_amount |
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| 149 | |
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| 150 | |
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| 151 | CONTAINS |
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| 152 | |
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| 153 | |
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| 154 | !------------------------------------------------------------------------------! |
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| 155 | ! Description: |
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| 156 | ! ------------ |
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| 157 | !> Call for all grid points |
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| 158 | !------------------------------------------------------------------------------! |
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| 159 | SUBROUTINE microphysics_control |
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| 160 | |
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| 161 | USE arrays_3d, & |
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| 162 | ONLY: hyp, pt_init, zu |
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| 163 | |
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| 164 | USE cloud_parameters, & |
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| 165 | ONLY: cp, hyrho, prr, pt_d_t, r_d, t_d_pt |
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| 166 | |
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| 167 | USE control_parameters, & |
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| 168 | ONLY: call_microphysics_at_all_substeps, drizzle, dt_3d, dt_micro, & |
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| 169 | g, intermediate_timestep_count, large_scale_forcing, & |
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| 170 | lsf_surf, microphysics_kessler, microphysics_seifert, & |
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| 171 | pt_surface, rho_surface,surface_pressure |
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| 172 | |
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| 173 | USE indices, & |
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| 174 | ONLY: nzb, nzt |
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| 175 | |
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| 176 | USE kinds |
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| 177 | |
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| 178 | USE statistics, & |
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| 179 | ONLY: weight_pres |
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| 180 | |
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| 181 | IMPLICIT NONE |
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| 182 | |
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| 183 | INTEGER(iwp) :: k !< |
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| 184 | |
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| 185 | REAL(wp) :: t_surface !< |
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| 186 | |
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| 187 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
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| 188 | ! |
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| 189 | !-- Calculate: |
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| 190 | !-- pt / t : ratio of potential and actual temperature (pt_d_t) |
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| 191 | !-- t / pt : ratio of actual and potential temperature (t_d_pt) |
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| 192 | !-- p_0(z) : vertical profile of the hydrostatic pressure (hyp) |
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| 193 | t_surface = pt_surface * ( surface_pressure / 1000.0_wp )**0.286_wp |
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| 194 | DO k = nzb, nzt+1 |
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| 195 | hyp(k) = surface_pressure * 100.0_wp * & |
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| 196 | ( ( t_surface - g / cp * zu(k) ) / & |
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| 197 | t_surface )**(1.0_wp / 0.286_wp) |
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| 198 | pt_d_t(k) = ( 100000.0_wp / hyp(k) )**0.286_wp |
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| 199 | t_d_pt(k) = 1.0_wp / pt_d_t(k) |
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| 200 | hyrho(k) = hyp(k) / ( r_d * t_d_pt(k) * pt_init(k) ) |
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| 201 | ENDDO |
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| 202 | |
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| 203 | ! |
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| 204 | !-- Compute reference density |
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| 205 | rho_surface = surface_pressure * 100.0_wp / ( r_d * t_surface ) |
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| 206 | ENDIF |
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| 207 | |
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| 208 | ! |
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| 209 | !-- Compute length of time step |
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| 210 | IF ( call_microphysics_at_all_substeps ) THEN |
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| 211 | dt_micro = dt_3d * weight_pres(intermediate_timestep_count) |
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| 212 | ELSE |
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| 213 | dt_micro = dt_3d |
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| 214 | ENDIF |
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| 215 | |
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| 216 | ! |
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| 217 | !-- Reset precipitation rate |
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| 218 | IF ( intermediate_timestep_count == 1 ) prr = 0.0_wp |
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| 219 | |
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| 220 | ! |
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| 221 | !-- Compute cloud physics |
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| 222 | IF ( microphysics_kessler ) THEN |
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| 223 | |
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| 224 | CALL autoconversion_kessler |
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| 225 | |
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| 226 | ELSEIF ( microphysics_seifert ) THEN |
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| 227 | |
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| 228 | CALL adjust_cloud |
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| 229 | CALL autoconversion |
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| 230 | CALL accretion |
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| 231 | CALL selfcollection_breakup |
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| 232 | CALL evaporation_rain |
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| 233 | CALL sedimentation_rain |
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| 234 | |
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| 235 | IF ( drizzle ) CALL sedimentation_cloud |
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| 236 | |
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| 237 | ENDIF |
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| 238 | |
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| 239 | CALL calc_precipitation_amount |
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| 240 | |
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| 241 | END SUBROUTINE microphysics_control |
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| 242 | |
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| 243 | !------------------------------------------------------------------------------! |
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| 244 | ! Description: |
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| 245 | ! ------------ |
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| 246 | !> Adjust number of raindrops to avoid nonlinear effects in sedimentation and |
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| 247 | !> evaporation of rain drops due to too small or too big weights |
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| 248 | !> of rain drops (Stevens and Seifert, 2008). |
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| 249 | !------------------------------------------------------------------------------! |
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| 250 | SUBROUTINE adjust_cloud |
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| 251 | |
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| 252 | USE arrays_3d, & |
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| 253 | ONLY: qr, nr |
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| 254 | |
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| 255 | USE cloud_parameters, & |
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| 256 | ONLY: eps_sb, xrmin, xrmax, hyrho |
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| 257 | |
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| 258 | USE cpulog, & |
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| 259 | ONLY: cpu_log, log_point_s |
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| 260 | |
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| 261 | USE indices, & |
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| 262 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner, nzt |
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| 263 | |
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| 264 | USE kinds |
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| 265 | |
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| 266 | IMPLICIT NONE |
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| 267 | |
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| 268 | INTEGER(iwp) :: i !< |
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| 269 | INTEGER(iwp) :: j !< |
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| 270 | INTEGER(iwp) :: k !< |
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| 271 | |
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| 272 | CALL cpu_log( log_point_s(54), 'adjust_cloud', 'start' ) |
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| 273 | |
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| 274 | DO i = nxl, nxr |
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| 275 | DO j = nys, nyn |
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| 276 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 277 | IF ( qr(k,j,i) <= eps_sb ) THEN |
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| 278 | qr(k,j,i) = 0.0_wp |
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| 279 | nr(k,j,i) = 0.0_wp |
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| 280 | ELSE |
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| 281 | IF ( nr(k,j,i) * xrmin > qr(k,j,i) * hyrho(k) ) THEN |
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| 282 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmin |
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| 283 | ELSEIF ( nr(k,j,i) * xrmax < qr(k,j,i) * hyrho(k) ) THEN |
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| 284 | nr(k,j,i) = qr(k,j,i) * hyrho(k) / xrmax |
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| 285 | ENDIF |
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| 286 | ENDIF |
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| 287 | ENDDO |
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| 288 | ENDDO |
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| 289 | ENDDO |
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| 290 | |
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| 291 | CALL cpu_log( log_point_s(54), 'adjust_cloud', 'stop' ) |
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| 292 | |
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| 293 | END SUBROUTINE adjust_cloud |
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| 294 | |
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| 295 | |
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| 296 | !------------------------------------------------------------------------------! |
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| 297 | ! Description: |
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| 298 | ! ------------ |
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| 299 | !> Autoconversion rate (Seifert and Beheng, 2006). |
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| 300 | !------------------------------------------------------------------------------! |
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| 301 | SUBROUTINE autoconversion |
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| 302 | |
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| 303 | USE arrays_3d, & |
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| 304 | ONLY: diss, dzu, nr, qc, qr |
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| 305 | |
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| 306 | USE cloud_parameters, & |
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| 307 | ONLY: a_1, a_2, a_3, b_1, b_2, b_3, beta_cc, c_1, c_2, c_3, & |
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| 308 | c_const, dpirho_l, eps_sb, hyrho, k_cc, kin_vis_air, & |
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| 309 | nc_const, x0 |
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| 310 | |
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| 311 | USE control_parameters, & |
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| 312 | ONLY: dt_micro, rho_surface, turbulence |
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| 313 | |
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| 314 | USE cpulog, & |
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| 315 | ONLY: cpu_log, log_point_s |
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| 316 | |
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| 317 | USE grid_variables, & |
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| 318 | ONLY: dx, dy |
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| 319 | |
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| 320 | USE indices, & |
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| 321 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner, nzt |
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| 322 | |
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| 323 | USE kinds |
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| 324 | |
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| 325 | IMPLICIT NONE |
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| 326 | |
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| 327 | INTEGER(iwp) :: i !< |
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| 328 | INTEGER(iwp) :: j !< |
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| 329 | INTEGER(iwp) :: k !< |
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| 330 | |
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| 331 | REAL(wp) :: alpha_cc !< |
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| 332 | REAL(wp) :: autocon !< |
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| 333 | REAL(wp) :: dissipation !< |
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| 334 | REAL(wp) :: k_au !< |
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| 335 | REAL(wp) :: l_mix !< |
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| 336 | REAL(wp) :: nu_c !< |
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| 337 | REAL(wp) :: phi_au !< |
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| 338 | REAL(wp) :: r_cc !< |
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| 339 | REAL(wp) :: rc !< |
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| 340 | REAL(wp) :: re_lambda !< |
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| 341 | REAL(wp) :: sigma_cc !< |
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| 342 | REAL(wp) :: tau_cloud !< |
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| 343 | REAL(wp) :: xc !< |
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| 344 | |
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| 345 | CALL cpu_log( log_point_s(55), 'autoconversion', 'start' ) |
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| 346 | |
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| 347 | DO i = nxl, nxr |
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| 348 | DO j = nys, nyn |
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| 349 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 350 | |
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| 351 | IF ( qc(k,j,i) > eps_sb ) THEN |
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| 352 | |
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| 353 | k_au = k_cc / ( 20.0_wp * x0 ) |
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| 354 | ! |
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| 355 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
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| 356 | !-- (1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr(k,j,i) )) |
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| 357 | tau_cloud = 1.0_wp - qc(k,j,i) / ( qr(k,j,i) + qc(k,j,i) ) |
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| 358 | ! |
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| 359 | !-- Universal function for autoconversion process |
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| 360 | !-- (Seifert and Beheng, 2006): |
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| 361 | phi_au = 600.0_wp * tau_cloud**0.68_wp * & |
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| 362 | ( 1.0_wp - tau_cloud**0.68_wp )**3 |
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| 363 | ! |
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| 364 | !-- Shape parameter of gamma distribution (Geoffroy et al., 2010): |
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| 365 | !-- (Use constant nu_c = 1.0_wp instead?) |
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| 366 | nu_c = 1.0_wp !MAX( 0.0_wp, 1580.0_wp * hyrho(k) * qc(k,j,i) - 0.28_wp ) |
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| 367 | ! |
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| 368 | !-- Mean weight of cloud droplets: |
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| 369 | xc = hyrho(k) * qc(k,j,i) / nc_const |
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| 370 | ! |
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| 371 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
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| 372 | !-- Nuijens and Stevens, 2010) |
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| 373 | IF ( turbulence ) THEN |
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| 374 | ! |
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| 375 | !-- Weight averaged radius of cloud droplets: |
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| 376 | rc = 0.5_wp * ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
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| 377 | |
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| 378 | alpha_cc = ( a_1 + a_2 * nu_c ) / ( 1.0_wp + a_3 * nu_c ) |
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| 379 | r_cc = ( b_1 + b_2 * nu_c ) / ( 1.0_wp + b_3 * nu_c ) |
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| 380 | sigma_cc = ( c_1 + c_2 * nu_c ) / ( 1.0_wp + c_3 * nu_c ) |
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| 381 | ! |
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| 382 | !-- Mixing length (neglecting distance to ground and |
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| 383 | !-- stratification) |
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| 384 | l_mix = ( dx * dy * dzu(k) )**( 1.0_wp / 3.0_wp ) |
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| 385 | ! |
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| 386 | !-- Limit dissipation rate according to Seifert, Nuijens and |
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| 387 | !-- Stevens (2010) |
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| 388 | dissipation = MIN( 0.06_wp, diss(k,j,i) ) |
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| 389 | ! |
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| 390 | !-- Compute Taylor-microscale Reynolds number: |
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| 391 | re_lambda = 6.0_wp / 11.0_wp * & |
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| 392 | ( l_mix / c_const )**( 2.0_wp / 3.0_wp ) * & |
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| 393 | SQRT( 15.0_wp / kin_vis_air ) * & |
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| 394 | dissipation**( 1.0_wp / 6.0_wp ) |
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| 395 | ! |
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| 396 | !-- The factor of 1.0E4 is needed to convert the dissipation |
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| 397 | !-- rate from m2 s-3 to cm2 s-3. |
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| 398 | k_au = k_au * ( 1.0_wp + & |
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| 399 | dissipation * 1.0E4_wp * & |
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| 400 | ( re_lambda * 1.0E-3_wp )**0.25_wp * & |
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| 401 | ( alpha_cc * EXP( -1.0_wp * ( ( rc - & |
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| 402 | r_cc ) / & |
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| 403 | sigma_cc )**2 & |
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| 404 | ) + beta_cc & |
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| 405 | ) & |
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| 406 | ) |
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| 407 | ENDIF |
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| 408 | ! |
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| 409 | !-- Autoconversion rate (Seifert and Beheng, 2006): |
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| 410 | autocon = k_au * ( nu_c + 2.0_wp ) * ( nu_c + 4.0_wp ) / & |
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| 411 | ( nu_c + 1.0_wp )**2 * qc(k,j,i)**2 * xc**2 * & |
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| 412 | ( 1.0_wp + phi_au / ( 1.0_wp - tau_cloud )**2 ) * & |
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| 413 | rho_surface |
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| 414 | autocon = MIN( autocon, qc(k,j,i) / dt_micro ) |
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| 415 | |
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| 416 | qr(k,j,i) = qr(k,j,i) + autocon * dt_micro |
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| 417 | qc(k,j,i) = qc(k,j,i) - autocon * dt_micro |
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| 418 | nr(k,j,i) = nr(k,j,i) + autocon / x0 * hyrho(k) * dt_micro |
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| 419 | |
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| 420 | ENDIF |
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| 421 | |
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| 422 | ENDDO |
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| 423 | ENDDO |
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| 424 | ENDDO |
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| 425 | |
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| 426 | CALL cpu_log( log_point_s(55), 'autoconversion', 'stop' ) |
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| 427 | |
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| 428 | END SUBROUTINE autoconversion |
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| 429 | |
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| 430 | |
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| 431 | !------------------------------------------------------------------------------! |
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| 432 | ! Description: |
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| 433 | ! ------------ |
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| 434 | !> Autoconversion process (Kessler, 1969). |
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| 435 | !------------------------------------------------------------------------------! |
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| 436 | SUBROUTINE autoconversion_kessler |
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| 437 | |
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| 438 | USE arrays_3d, & |
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| 439 | ONLY: dzw, pt, q, qc |
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| 440 | |
|---|
| 441 | USE cloud_parameters, & |
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| 442 | ONLY: l_d_cp, pt_d_t, prec_time_const, prr, ql_crit |
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| 443 | |
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| 444 | USE control_parameters, & |
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| 445 | ONLY: dt_micro |
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| 446 | |
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| 447 | USE indices, & |
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| 448 | ONLY: nxl, nxr, nyn, nys, nzb_2d, nzt |
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| 449 | |
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| 450 | USE kinds |
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| 451 | |
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| 452 | |
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| 453 | IMPLICIT NONE |
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| 454 | |
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| 455 | INTEGER(iwp) :: i !< |
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| 456 | INTEGER(iwp) :: j !< |
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| 457 | INTEGER(iwp) :: k !< |
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| 458 | |
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| 459 | REAL(wp) :: dqdt_precip !< |
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| 460 | |
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| 461 | DO i = nxl, nxr |
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| 462 | DO j = nys, nyn |
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| 463 | DO k = nzb_2d(j,i)+1, nzt |
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| 464 | |
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| 465 | IF ( qc(k,j,i) > ql_crit ) THEN |
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| 466 | dqdt_precip = prec_time_const * ( qc(k,j,i) - ql_crit ) |
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| 467 | ELSE |
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| 468 | dqdt_precip = 0.0_wp |
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| 469 | ENDIF |
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| 470 | |
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| 471 | qc(k,j,i) = qc(k,j,i) - dqdt_precip * dt_micro |
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| 472 | q(k,j,i) = q(k,j,i) - dqdt_precip * dt_micro |
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| 473 | pt(k,j,i) = pt(k,j,i) + dqdt_precip * dt_micro * l_d_cp * pt_d_t(k) |
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| 474 | |
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| 475 | ! |
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| 476 | !-- Compute the rain rate |
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| 477 | prr(nzb_2d(j,i)+1,j,i) = prr(nzb_2d(j,i)+1,j,i) + dqdt_precip * dzw(k) |
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| 478 | |
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| 479 | ENDDO |
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| 480 | ENDDO |
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| 481 | ENDDO |
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| 482 | |
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| 483 | END SUBROUTINE autoconversion_kessler |
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| 484 | |
|---|
| 485 | |
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| 486 | !------------------------------------------------------------------------------! |
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| 487 | ! Description: |
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| 488 | ! ------------ |
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| 489 | !> Accretion rate (Seifert and Beheng, 2006). |
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| 490 | !------------------------------------------------------------------------------! |
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| 491 | SUBROUTINE accretion |
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| 492 | |
|---|
| 493 | USE arrays_3d, & |
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| 494 | ONLY: diss, qc, qr |
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| 495 | |
|---|
| 496 | USE cloud_parameters, & |
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| 497 | ONLY: eps_sb, hyrho, k_cr0 |
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| 498 | |
|---|
| 499 | USE control_parameters, & |
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| 500 | ONLY: dt_micro, rho_surface, turbulence |
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| 501 | |
|---|
| 502 | USE cpulog, & |
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| 503 | ONLY: cpu_log, log_point_s |
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| 504 | |
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| 505 | USE indices, & |
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| 506 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner, nzt |
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| 507 | |
|---|
| 508 | USE kinds |
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| 509 | |
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| 510 | IMPLICIT NONE |
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| 511 | |
|---|
| 512 | INTEGER(iwp) :: i !< |
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| 513 | INTEGER(iwp) :: j !< |
|---|
| 514 | INTEGER(iwp) :: k !< |
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| 515 | |
|---|
| 516 | REAL(wp) :: accr !< |
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| 517 | REAL(wp) :: k_cr !< |
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| 518 | REAL(wp) :: phi_ac !< |
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| 519 | REAL(wp) :: tau_cloud !< |
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| 520 | |
|---|
| 521 | CALL cpu_log( log_point_s(56), 'accretion', 'start' ) |
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| 522 | |
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| 523 | DO i = nxl, nxr |
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| 524 | DO j = nys, nyn |
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| 525 | DO k = nzb_s_inner(j,i)+1, nzt |
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| 526 | |
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| 527 | IF ( ( qc(k,j,i) > eps_sb ) .AND. ( qr(k,j,i) > eps_sb ) ) THEN |
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| 528 | ! |
|---|
| 529 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
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| 530 | tau_cloud = 1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr(k,j,i) ) |
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| 531 | ! |
|---|
| 532 | !-- Universal function for accretion process (Seifert and |
|---|
| 533 | !-- Beheng, 2001): |
|---|
| 534 | phi_ac = ( tau_cloud / ( tau_cloud + 5.0E-5_wp ) )**4 |
|---|
| 535 | ! |
|---|
| 536 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
|---|
| 537 | !-- Nuijens and Stevens, 2010). The factor of 1.0E4 is needed to |
|---|
| 538 | !-- convert the dissipation rate (diss) from m2 s-3 to cm2 s-3. |
|---|
| 539 | IF ( turbulence ) THEN |
|---|
| 540 | k_cr = k_cr0 * ( 1.0_wp + 0.05_wp * & |
|---|
| 541 | MIN( 600.0_wp, & |
|---|
| 542 | diss(k,j,i) * 1.0E4_wp )**0.25_wp & |
|---|
| 543 | ) |
|---|
| 544 | ELSE |
|---|
| 545 | k_cr = k_cr0 |
|---|
| 546 | ENDIF |
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| 547 | ! |
|---|
| 548 | !-- Accretion rate (Seifert and Beheng, 2006): |
|---|
| 549 | accr = k_cr * qc(k,j,i) * qr(k,j,i) * phi_ac * & |
|---|
| 550 | SQRT( rho_surface * hyrho(k) ) |
|---|
| 551 | accr = MIN( accr, qc(k,j,i) / dt_micro ) |
|---|
| 552 | |
|---|
| 553 | qr(k,j,i) = qr(k,j,i) + accr * dt_micro |
|---|
| 554 | qc(k,j,i) = qc(k,j,i) - accr * dt_micro |
|---|
| 555 | |
|---|
| 556 | ENDIF |
|---|
| 557 | |
|---|
| 558 | ENDDO |
|---|
| 559 | ENDDO |
|---|
| 560 | ENDDO |
|---|
| 561 | |
|---|
| 562 | CALL cpu_log( log_point_s(56), 'accretion', 'stop' ) |
|---|
| 563 | |
|---|
| 564 | END SUBROUTINE accretion |
|---|
| 565 | |
|---|
| 566 | |
|---|
| 567 | !------------------------------------------------------------------------------! |
|---|
| 568 | ! Description: |
|---|
| 569 | ! ------------ |
|---|
| 570 | !> Collisional breakup rate (Seifert, 2008). |
|---|
| 571 | !------------------------------------------------------------------------------! |
|---|
| 572 | SUBROUTINE selfcollection_breakup |
|---|
| 573 | |
|---|
| 574 | USE arrays_3d, & |
|---|
| 575 | ONLY: nr, qr |
|---|
| 576 | |
|---|
| 577 | USE cloud_parameters, & |
|---|
| 578 | ONLY: dpirho_l, eps_sb, hyrho, k_br, k_rr |
|---|
| 579 | |
|---|
| 580 | USE control_parameters, & |
|---|
| 581 | ONLY: dt_micro, rho_surface |
|---|
| 582 | |
|---|
| 583 | USE cpulog, & |
|---|
| 584 | ONLY: cpu_log, log_point_s |
|---|
| 585 | |
|---|
| 586 | USE indices, & |
|---|
| 587 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner, nzt |
|---|
| 588 | |
|---|
| 589 | USE kinds |
|---|
| 590 | |
|---|
| 591 | IMPLICIT NONE |
|---|
| 592 | |
|---|
| 593 | INTEGER(iwp) :: i !< |
|---|
| 594 | INTEGER(iwp) :: j !< |
|---|
| 595 | INTEGER(iwp) :: k !< |
|---|
| 596 | |
|---|
| 597 | REAL(wp) :: breakup !< |
|---|
| 598 | REAL(wp) :: dr !< |
|---|
| 599 | REAL(wp) :: phi_br !< |
|---|
| 600 | REAL(wp) :: selfcoll !< |
|---|
| 601 | |
|---|
| 602 | CALL cpu_log( log_point_s(57), 'selfcollection', 'start' ) |
|---|
| 603 | |
|---|
| 604 | DO i = nxl, nxr |
|---|
| 605 | DO j = nys, nyn |
|---|
| 606 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 607 | IF ( qr(k,j,i) > eps_sb ) THEN |
|---|
| 608 | ! |
|---|
| 609 | !-- Selfcollection rate (Seifert and Beheng, 2001): |
|---|
| 610 | selfcoll = k_rr * nr(k,j,i) * qr(k,j,i) * & |
|---|
| 611 | SQRT( hyrho(k) * rho_surface ) |
|---|
| 612 | ! |
|---|
| 613 | !-- Weight averaged diameter of rain drops: |
|---|
| 614 | dr = ( hyrho(k) * qr(k,j,i) / & |
|---|
| 615 | nr(k,j,i) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 616 | ! |
|---|
| 617 | !-- Collisional breakup rate (Seifert, 2008): |
|---|
| 618 | IF ( dr >= 0.3E-3_wp ) THEN |
|---|
| 619 | phi_br = k_br * ( dr - 1.1E-3_wp ) |
|---|
| 620 | breakup = selfcoll * ( phi_br + 1.0_wp ) |
|---|
| 621 | ELSE |
|---|
| 622 | breakup = 0.0_wp |
|---|
| 623 | ENDIF |
|---|
| 624 | |
|---|
| 625 | selfcoll = MAX( breakup - selfcoll, -nr(k,j,i) / dt_micro ) |
|---|
| 626 | nr(k,j,i) = nr(k,j,i) + selfcoll * dt_micro |
|---|
| 627 | |
|---|
| 628 | ENDIF |
|---|
| 629 | ENDDO |
|---|
| 630 | ENDDO |
|---|
| 631 | ENDDO |
|---|
| 632 | |
|---|
| 633 | CALL cpu_log( log_point_s(57), 'selfcollection', 'stop' ) |
|---|
| 634 | |
|---|
| 635 | END SUBROUTINE selfcollection_breakup |
|---|
| 636 | |
|---|
| 637 | |
|---|
| 638 | !------------------------------------------------------------------------------! |
|---|
| 639 | ! Description: |
|---|
| 640 | ! ------------ |
|---|
| 641 | !> Evaporation of precipitable water. Condensation is neglected for |
|---|
| 642 | !> precipitable water. |
|---|
| 643 | !------------------------------------------------------------------------------! |
|---|
| 644 | SUBROUTINE evaporation_rain |
|---|
| 645 | |
|---|
| 646 | USE arrays_3d, & |
|---|
| 647 | ONLY: hyp, nr, pt, q, qc, qr |
|---|
| 648 | |
|---|
| 649 | USE cloud_parameters, & |
|---|
| 650 | ONLY: a_term, a_vent, b_term, b_vent, c_evap, c_term, & |
|---|
| 651 | diff_coeff_l, dpirho_l, eps_sb, hyrho, kin_vis_air, & |
|---|
| 652 | l_d_cp, l_d_r, l_v, r_v, schmidt_p_1d3, & |
|---|
| 653 | thermal_conductivity_l, t_d_pt, ventilation_effect |
|---|
| 654 | |
|---|
| 655 | USE constants, & |
|---|
| 656 | ONLY: pi |
|---|
| 657 | |
|---|
| 658 | USE control_parameters, & |
|---|
| 659 | ONLY: dt_micro |
|---|
| 660 | |
|---|
| 661 | USE cpulog, & |
|---|
| 662 | ONLY: cpu_log, log_point_s |
|---|
| 663 | |
|---|
| 664 | USE indices, & |
|---|
| 665 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner, nzt |
|---|
| 666 | |
|---|
| 667 | USE kinds |
|---|
| 668 | |
|---|
| 669 | IMPLICIT NONE |
|---|
| 670 | |
|---|
| 671 | INTEGER(iwp) :: i !< |
|---|
| 672 | INTEGER(iwp) :: j !< |
|---|
| 673 | INTEGER(iwp) :: k !< |
|---|
| 674 | |
|---|
| 675 | REAL(wp) :: alpha !< |
|---|
| 676 | REAL(wp) :: dr !< |
|---|
| 677 | REAL(wp) :: e_s !< |
|---|
| 678 | REAL(wp) :: evap !< |
|---|
| 679 | REAL(wp) :: evap_nr !< |
|---|
| 680 | REAL(wp) :: f_vent !< |
|---|
| 681 | REAL(wp) :: g_evap !< |
|---|
| 682 | REAL(wp) :: lambda_r !< |
|---|
| 683 | REAL(wp) :: mu_r !< |
|---|
| 684 | REAL(wp) :: mu_r_2 !< |
|---|
| 685 | REAL(wp) :: mu_r_5d2 !< |
|---|
| 686 | REAL(wp) :: nr_0 !< |
|---|
| 687 | REAL(wp) :: q_s !< |
|---|
| 688 | REAL(wp) :: sat !< |
|---|
| 689 | REAL(wp) :: t_l !< |
|---|
| 690 | REAL(wp) :: temp !< |
|---|
| 691 | REAL(wp) :: xr !< |
|---|
| 692 | |
|---|
| 693 | CALL cpu_log( log_point_s(58), 'evaporation', 'start' ) |
|---|
| 694 | |
|---|
| 695 | DO i = nxl, nxr |
|---|
| 696 | DO j = nys, nyn |
|---|
| 697 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 698 | IF ( qr(k,j,i) > eps_sb ) THEN |
|---|
| 699 | ! |
|---|
| 700 | !-- Actual liquid water temperature: |
|---|
| 701 | t_l = t_d_pt(k) * pt(k,j,i) |
|---|
| 702 | ! |
|---|
| 703 | !-- Saturation vapor pressure at t_l: |
|---|
| 704 | e_s = 610.78_wp * EXP( 17.269_wp * ( t_l - 273.16_wp ) / & |
|---|
| 705 | ( t_l - 35.86_wp ) & |
|---|
| 706 | ) |
|---|
| 707 | ! |
|---|
| 708 | !-- Computation of saturation humidity: |
|---|
| 709 | q_s = 0.622_wp * e_s / ( hyp(k) - 0.378_wp * e_s ) |
|---|
| 710 | alpha = 0.622_wp * l_d_r * l_d_cp / ( t_l * t_l ) |
|---|
| 711 | q_s = q_s * ( 1.0_wp + alpha * q(k,j,i) ) / & |
|---|
| 712 | ( 1.0_wp + alpha * q_s ) |
|---|
| 713 | ! |
|---|
| 714 | !-- Supersaturation: |
|---|
| 715 | sat = ( q(k,j,i) - qr(k,j,i) - qc(k,j,i) ) / q_s - 1.0_wp |
|---|
| 716 | ! |
|---|
| 717 | !-- Evaporation needs only to be calculated in subsaturated regions |
|---|
| 718 | IF ( sat < 0.0_wp ) THEN |
|---|
| 719 | ! |
|---|
| 720 | !-- Actual temperature: |
|---|
| 721 | temp = t_l + l_d_cp * ( qc(k,j,i) + qr(k,j,i) ) |
|---|
| 722 | |
|---|
| 723 | g_evap = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * & |
|---|
| 724 | l_v / ( thermal_conductivity_l * temp ) & |
|---|
| 725 | + r_v * temp / ( diff_coeff_l * e_s ) & |
|---|
| 726 | ) |
|---|
| 727 | ! |
|---|
| 728 | !-- Mean weight of rain drops |
|---|
| 729 | xr = hyrho(k) * qr(k,j,i) / nr(k,j,i) |
|---|
| 730 | ! |
|---|
| 731 | !-- Weight averaged diameter of rain drops: |
|---|
| 732 | dr = ( xr * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 733 | ! |
|---|
| 734 | !-- Compute ventilation factor and intercept parameter |
|---|
| 735 | !-- (Seifert and Beheng, 2006; Seifert, 2008): |
|---|
| 736 | IF ( ventilation_effect ) THEN |
|---|
| 737 | ! |
|---|
| 738 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, |
|---|
| 739 | !-- 2005; Stevens and Seifert, 2008): |
|---|
| 740 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * & |
|---|
| 741 | ( dr - 1.4E-3_wp ) ) ) |
|---|
| 742 | ! |
|---|
| 743 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
|---|
| 744 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
|---|
| 745 | ( mu_r + 1.0_wp ) & |
|---|
| 746 | )**( 1.0_wp / 3.0_wp ) / dr |
|---|
| 747 | |
|---|
| 748 | mu_r_2 = mu_r + 2.0_wp |
|---|
| 749 | mu_r_5d2 = mu_r + 2.5_wp |
|---|
| 750 | |
|---|
| 751 | f_vent = a_vent * gamm( mu_r_2 ) * & |
|---|
| 752 | lambda_r**( -mu_r_2 ) + b_vent * & |
|---|
| 753 | schmidt_p_1d3 * SQRT( a_term / kin_vis_air ) *& |
|---|
| 754 | gamm( mu_r_5d2 ) * lambda_r**( -mu_r_5d2 ) * & |
|---|
| 755 | ( 1.0_wp - & |
|---|
| 756 | 0.5_wp * ( b_term / a_term ) * & |
|---|
| 757 | ( lambda_r / ( c_term + lambda_r ) & |
|---|
| 758 | )**mu_r_5d2 - & |
|---|
| 759 | 0.125_wp * ( b_term / a_term )**2 * & |
|---|
| 760 | ( lambda_r / ( 2.0_wp * c_term + lambda_r ) & |
|---|
| 761 | )**mu_r_5d2 - & |
|---|
| 762 | 0.0625_wp * ( b_term / a_term )**3 * & |
|---|
| 763 | ( lambda_r / ( 3.0_wp * c_term + lambda_r ) & |
|---|
| 764 | )**mu_r_5d2 - & |
|---|
| 765 | 0.0390625_wp * ( b_term / a_term )**4 * & |
|---|
| 766 | ( lambda_r / ( 4.0_wp * c_term + lambda_r ) & |
|---|
| 767 | )**mu_r_5d2 & |
|---|
| 768 | ) |
|---|
| 769 | |
|---|
| 770 | nr_0 = nr(k,j,i) * lambda_r**( mu_r + 1.0_wp ) / & |
|---|
| 771 | gamm( mu_r + 1.0_wp ) |
|---|
| 772 | ELSE |
|---|
| 773 | f_vent = 1.0_wp |
|---|
| 774 | nr_0 = nr(k,j,i) * dr |
|---|
| 775 | ENDIF |
|---|
| 776 | ! |
|---|
| 777 | !-- Evaporation rate of rain water content (Seifert and |
|---|
| 778 | !-- Beheng, 2006): |
|---|
| 779 | evap = 2.0_wp * pi * nr_0 * g_evap * f_vent * sat / & |
|---|
| 780 | hyrho(k) |
|---|
| 781 | evap = MAX( evap, -qr(k,j,i) / dt_micro ) |
|---|
| 782 | evap_nr = MAX( c_evap * evap / xr * hyrho(k), & |
|---|
| 783 | -nr(k,j,i) / dt_micro ) |
|---|
| 784 | |
|---|
| 785 | qr(k,j,i) = qr(k,j,i) + evap * dt_micro |
|---|
| 786 | nr(k,j,i) = nr(k,j,i) + evap_nr * dt_micro |
|---|
| 787 | |
|---|
| 788 | ENDIF |
|---|
| 789 | ENDIF |
|---|
| 790 | |
|---|
| 791 | ENDDO |
|---|
| 792 | ENDDO |
|---|
| 793 | ENDDO |
|---|
| 794 | |
|---|
| 795 | CALL cpu_log( log_point_s(58), 'evaporation', 'stop' ) |
|---|
| 796 | |
|---|
| 797 | END SUBROUTINE evaporation_rain |
|---|
| 798 | |
|---|
| 799 | |
|---|
| 800 | !------------------------------------------------------------------------------! |
|---|
| 801 | ! Description: |
|---|
| 802 | ! ------------ |
|---|
| 803 | !> Sedimentation of cloud droplets (Ackermann et al., 2009, MWR). |
|---|
| 804 | !------------------------------------------------------------------------------! |
|---|
| 805 | SUBROUTINE sedimentation_cloud |
|---|
| 806 | |
|---|
| 807 | USE arrays_3d, & |
|---|
| 808 | ONLY: ddzu, dzu, pt, q, qc |
|---|
| 809 | |
|---|
| 810 | USE cloud_parameters, & |
|---|
| 811 | ONLY: eps_sb, hyrho, l_d_cp, nc_const, prr, pt_d_t, sed_qc_const |
|---|
| 812 | |
|---|
| 813 | USE control_parameters, & |
|---|
| 814 | ONLY: call_microphysics_at_all_substeps, dt_micro, & |
|---|
| 815 | intermediate_timestep_count |
|---|
| 816 | |
|---|
| 817 | USE cpulog, & |
|---|
| 818 | ONLY: cpu_log, log_point_s |
|---|
| 819 | |
|---|
| 820 | USE indices, & |
|---|
| 821 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_s_inner, nzt |
|---|
| 822 | |
|---|
| 823 | USE kinds |
|---|
| 824 | |
|---|
| 825 | USE statistics, & |
|---|
| 826 | ONLY: weight_substep |
|---|
| 827 | |
|---|
| 828 | |
|---|
| 829 | IMPLICIT NONE |
|---|
| 830 | |
|---|
| 831 | INTEGER(iwp) :: i !< |
|---|
| 832 | INTEGER(iwp) :: j !< |
|---|
| 833 | INTEGER(iwp) :: k !< |
|---|
| 834 | |
|---|
| 835 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qc !< |
|---|
| 836 | |
|---|
| 837 | CALL cpu_log( log_point_s(59), 'sed_cloud', 'start' ) |
|---|
| 838 | |
|---|
| 839 | sed_qc(nzt+1) = 0.0_wp |
|---|
| 840 | |
|---|
| 841 | DO i = nxl, nxr |
|---|
| 842 | DO j = nys, nyn |
|---|
| 843 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
|---|
| 844 | |
|---|
| 845 | IF ( qc(k,j,i) > eps_sb ) THEN |
|---|
| 846 | sed_qc(k) = sed_qc_const * nc_const**( -2.0_wp / 3.0_wp ) * & |
|---|
| 847 | ( qc(k,j,i) * hyrho(k) )**( 5.0_wp / 3.0_wp ) |
|---|
| 848 | ELSE |
|---|
| 849 | sed_qc(k) = 0.0_wp |
|---|
| 850 | ENDIF |
|---|
| 851 | |
|---|
| 852 | sed_qc(k) = MIN( sed_qc(k), hyrho(k) * dzu(k+1) * q(k,j,i) / & |
|---|
| 853 | dt_micro + sed_qc(k+1) & |
|---|
| 854 | ) |
|---|
| 855 | |
|---|
| 856 | q(k,j,i) = q(k,j,i) + ( sed_qc(k+1) - sed_qc(k) ) * & |
|---|
| 857 | ddzu(k+1) / hyrho(k) * dt_micro |
|---|
| 858 | qc(k,j,i) = qc(k,j,i) + ( sed_qc(k+1) - sed_qc(k) ) * & |
|---|
| 859 | ddzu(k+1) / hyrho(k) * dt_micro |
|---|
| 860 | pt(k,j,i) = pt(k,j,i) - ( sed_qc(k+1) - sed_qc(k) ) * & |
|---|
| 861 | ddzu(k+1) / hyrho(k) * l_d_cp * & |
|---|
| 862 | pt_d_t(k) * dt_micro |
|---|
| 863 | |
|---|
| 864 | ! |
|---|
| 865 | !-- Compute the precipitation rate due to cloud (fog) droplets |
|---|
| 866 | IF ( call_microphysics_at_all_substeps ) THEN |
|---|
| 867 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) & |
|---|
| 868 | * weight_substep(intermediate_timestep_count) |
|---|
| 869 | ELSE |
|---|
| 870 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) |
|---|
| 871 | ENDIF |
|---|
| 872 | |
|---|
| 873 | ENDDO |
|---|
| 874 | ENDDO |
|---|
| 875 | ENDDO |
|---|
| 876 | |
|---|
| 877 | CALL cpu_log( log_point_s(59), 'sed_cloud', 'stop' ) |
|---|
| 878 | |
|---|
| 879 | END SUBROUTINE sedimentation_cloud |
|---|
| 880 | |
|---|
| 881 | |
|---|
| 882 | !------------------------------------------------------------------------------! |
|---|
| 883 | ! Description: |
|---|
| 884 | ! ------------ |
|---|
| 885 | !> Computation of sedimentation flux. Implementation according to Stevens |
|---|
| 886 | !> and Seifert (2008). Code is based on UCLA-LES. |
|---|
| 887 | !------------------------------------------------------------------------------! |
|---|
| 888 | SUBROUTINE sedimentation_rain |
|---|
| 889 | |
|---|
| 890 | USE arrays_3d, & |
|---|
| 891 | ONLY: ddzu, dzu, nr, pt, q, qr |
|---|
| 892 | |
|---|
| 893 | USE cloud_parameters, & |
|---|
| 894 | ONLY: a_term, b_term, c_term, dpirho_l, eps_sb, hyrho, & |
|---|
| 895 | limiter_sedimentation, l_d_cp, prr, pt_d_t |
|---|
| 896 | |
|---|
| 897 | USE control_parameters, & |
|---|
| 898 | ONLY: call_microphysics_at_all_substeps, dt_micro, & |
|---|
| 899 | intermediate_timestep_count |
|---|
| 900 | USE cpulog, & |
|---|
| 901 | ONLY: cpu_log, log_point_s |
|---|
| 902 | |
|---|
| 903 | USE indices, & |
|---|
| 904 | ONLY: nxl, nxr, nys, nyn, nzb, nzb_s_inner, nzt |
|---|
| 905 | |
|---|
| 906 | USE kinds |
|---|
| 907 | |
|---|
| 908 | USE statistics, & |
|---|
| 909 | ONLY: weight_substep |
|---|
| 910 | |
|---|
| 911 | IMPLICIT NONE |
|---|
| 912 | |
|---|
| 913 | INTEGER(iwp) :: i !< |
|---|
| 914 | INTEGER(iwp) :: j !< |
|---|
| 915 | INTEGER(iwp) :: k !< |
|---|
| 916 | INTEGER(iwp) :: k_run !< |
|---|
| 917 | |
|---|
| 918 | REAL(wp) :: c_run !< |
|---|
| 919 | REAL(wp) :: d_max !< |
|---|
| 920 | REAL(wp) :: d_mean !< |
|---|
| 921 | REAL(wp) :: d_min !< |
|---|
| 922 | REAL(wp) :: dr !< |
|---|
| 923 | REAL(wp) :: flux !< |
|---|
| 924 | REAL(wp) :: lambda_r !< |
|---|
| 925 | REAL(wp) :: mu_r !< |
|---|
| 926 | REAL(wp) :: z_run !< |
|---|
| 927 | |
|---|
| 928 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_nr !< |
|---|
| 929 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_qr !< |
|---|
| 930 | REAL(wp), DIMENSION(nzb:nzt+1) :: nr_slope !< |
|---|
| 931 | REAL(wp), DIMENSION(nzb:nzt+1) :: qr_slope !< |
|---|
| 932 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nr !< |
|---|
| 933 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qr !< |
|---|
| 934 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_nr !< |
|---|
| 935 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_qr !< |
|---|
| 936 | |
|---|
| 937 | CALL cpu_log( log_point_s(60), 'sed_rain', 'start' ) |
|---|
| 938 | |
|---|
| 939 | ! |
|---|
| 940 | !-- Compute velocities |
|---|
| 941 | DO i = nxl, nxr |
|---|
| 942 | DO j = nys, nyn |
|---|
| 943 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 944 | IF ( qr(k,j,i) > eps_sb ) THEN |
|---|
| 945 | ! |
|---|
| 946 | !-- Weight averaged diameter of rain drops: |
|---|
| 947 | dr = ( hyrho(k) * qr(k,j,i) / & |
|---|
| 948 | nr(k,j,i) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 949 | ! |
|---|
| 950 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
|---|
| 951 | !-- Stevens and Seifert, 2008): |
|---|
| 952 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * & |
|---|
| 953 | ( dr - 1.4E-3_wp ) ) ) |
|---|
| 954 | ! |
|---|
| 955 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
|---|
| 956 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
|---|
| 957 | ( mu_r + 1.0_wp ) )**( 1.0_wp / 3.0_wp ) / dr |
|---|
| 958 | |
|---|
| 959 | w_nr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
|---|
| 960 | a_term - b_term * ( 1.0_wp + & |
|---|
| 961 | c_term / & |
|---|
| 962 | lambda_r )**( -1.0_wp * & |
|---|
| 963 | ( mu_r + 1.0_wp ) ) & |
|---|
| 964 | ) & |
|---|
| 965 | ) |
|---|
| 966 | |
|---|
| 967 | w_qr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
|---|
| 968 | a_term - b_term * ( 1.0_wp + & |
|---|
| 969 | c_term / & |
|---|
| 970 | lambda_r )**( -1.0_wp * & |
|---|
| 971 | ( mu_r + 4.0_wp ) ) & |
|---|
| 972 | ) & |
|---|
| 973 | ) |
|---|
| 974 | ELSE |
|---|
| 975 | w_nr(k) = 0.0_wp |
|---|
| 976 | w_qr(k) = 0.0_wp |
|---|
| 977 | ENDIF |
|---|
| 978 | ENDDO |
|---|
| 979 | ! |
|---|
| 980 | !-- Adjust boundary values |
|---|
| 981 | w_nr(nzb_s_inner(j,i)) = w_nr(nzb_s_inner(j,i)+1) |
|---|
| 982 | w_qr(nzb_s_inner(j,i)) = w_qr(nzb_s_inner(j,i)+1) |
|---|
| 983 | w_nr(nzt+1) = 0.0_wp |
|---|
| 984 | w_qr(nzt+1) = 0.0_wp |
|---|
| 985 | ! |
|---|
| 986 | !-- Compute Courant number |
|---|
| 987 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 988 | c_nr(k) = 0.25_wp * ( w_nr(k-1) + & |
|---|
| 989 | 2.0_wp * w_nr(k) + w_nr(k+1) ) * & |
|---|
| 990 | dt_micro * ddzu(k) |
|---|
| 991 | c_qr(k) = 0.25_wp * ( w_qr(k-1) + & |
|---|
| 992 | 2.0_wp * w_qr(k) + w_qr(k+1) ) * & |
|---|
| 993 | dt_micro * ddzu(k) |
|---|
| 994 | ENDDO |
|---|
| 995 | ! |
|---|
| 996 | !-- Limit slopes with monotonized centered (MC) limiter (van Leer, 1977): |
|---|
| 997 | IF ( limiter_sedimentation ) THEN |
|---|
| 998 | |
|---|
| 999 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1000 | d_mean = 0.5_wp * ( qr(k+1,j,i) - qr(k-1,j,i) ) |
|---|
| 1001 | d_min = qr(k,j,i) - MIN( qr(k+1,j,i), qr(k,j,i), qr(k-1,j,i) ) |
|---|
| 1002 | d_max = MAX( qr(k+1,j,i), qr(k,j,i), qr(k-1,j,i) ) - qr(k,j,i) |
|---|
| 1003 | |
|---|
| 1004 | qr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
|---|
| 1005 | 2.0_wp * d_max, & |
|---|
| 1006 | ABS( d_mean ) ) |
|---|
| 1007 | |
|---|
| 1008 | d_mean = 0.5_wp * ( nr(k+1,j,i) - nr(k-1,j,i) ) |
|---|
| 1009 | d_min = nr(k,j,i) - MIN( nr(k+1,j,i), nr(k,j,i), nr(k-1,j,i) ) |
|---|
| 1010 | d_max = MAX( nr(k+1,j,i), nr(k,j,i), nr(k-1,j,i) ) - nr(k,j,i) |
|---|
| 1011 | |
|---|
| 1012 | nr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
|---|
| 1013 | 2.0_wp * d_max, & |
|---|
| 1014 | ABS( d_mean ) ) |
|---|
| 1015 | ENDDO |
|---|
| 1016 | |
|---|
| 1017 | ELSE |
|---|
| 1018 | |
|---|
| 1019 | nr_slope = 0.0_wp |
|---|
| 1020 | qr_slope = 0.0_wp |
|---|
| 1021 | |
|---|
| 1022 | ENDIF |
|---|
| 1023 | |
|---|
| 1024 | sed_nr(nzt+1) = 0.0_wp |
|---|
| 1025 | sed_qr(nzt+1) = 0.0_wp |
|---|
| 1026 | ! |
|---|
| 1027 | !-- Compute sedimentation flux |
|---|
| 1028 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
|---|
| 1029 | ! |
|---|
| 1030 | !-- Sum up all rain drop number densities which contribute to the flux |
|---|
| 1031 | !-- through k-1/2 |
|---|
| 1032 | flux = 0.0_wp |
|---|
| 1033 | z_run = 0.0_wp ! height above z(k) |
|---|
| 1034 | k_run = k |
|---|
| 1035 | c_run = MIN( 1.0_wp, c_nr(k) ) |
|---|
| 1036 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
|---|
| 1037 | flux = flux + hyrho(k_run) * & |
|---|
| 1038 | ( nr(k_run,j,i) + nr_slope(k_run) * & |
|---|
| 1039 | ( 1.0_wp - c_run ) * 0.5_wp ) * c_run * dzu(k_run) |
|---|
| 1040 | z_run = z_run + dzu(k_run) |
|---|
| 1041 | k_run = k_run + 1 |
|---|
| 1042 | c_run = MIN( 1.0_wp, c_nr(k_run) - z_run * ddzu(k_run) ) |
|---|
| 1043 | ENDDO |
|---|
| 1044 | ! |
|---|
| 1045 | !-- It is not allowed to sediment more rain drop number density than |
|---|
| 1046 | !-- available |
|---|
| 1047 | flux = MIN( flux, & |
|---|
| 1048 | hyrho(k) * dzu(k+1) * nr(k,j,i) + sed_nr(k+1) * & |
|---|
| 1049 | dt_micro & |
|---|
| 1050 | ) |
|---|
| 1051 | |
|---|
| 1052 | sed_nr(k) = flux / dt_micro |
|---|
| 1053 | nr(k,j,i) = nr(k,j,i) + ( sed_nr(k+1) - sed_nr(k) ) * & |
|---|
| 1054 | ddzu(k+1) / hyrho(k) * dt_micro |
|---|
| 1055 | ! |
|---|
| 1056 | !-- Sum up all rain water content which contributes to the flux |
|---|
| 1057 | !-- through k-1/2 |
|---|
| 1058 | flux = 0.0_wp |
|---|
| 1059 | z_run = 0.0_wp ! height above z(k) |
|---|
| 1060 | k_run = k |
|---|
| 1061 | c_run = MIN( 1.0_wp, c_qr(k) ) |
|---|
| 1062 | |
|---|
| 1063 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
|---|
| 1064 | |
|---|
| 1065 | flux = flux + hyrho(k_run) * ( qr(k_run,j,i) + & |
|---|
| 1066 | qr_slope(k_run) * ( 1.0_wp - c_run ) * & |
|---|
| 1067 | 0.5_wp ) * c_run * dzu(k_run) |
|---|
| 1068 | z_run = z_run + dzu(k_run) |
|---|
| 1069 | k_run = k_run + 1 |
|---|
| 1070 | c_run = MIN( 1.0_wp, c_qr(k_run) - z_run * ddzu(k_run) ) |
|---|
| 1071 | |
|---|
| 1072 | ENDDO |
|---|
| 1073 | ! |
|---|
| 1074 | !-- It is not allowed to sediment more rain water content than |
|---|
| 1075 | !-- available |
|---|
| 1076 | flux = MIN( flux, & |
|---|
| 1077 | hyrho(k) * dzu(k) * qr(k,j,i) + sed_qr(k+1) * & |
|---|
| 1078 | dt_micro & |
|---|
| 1079 | ) |
|---|
| 1080 | |
|---|
| 1081 | sed_qr(k) = flux / dt_micro |
|---|
| 1082 | |
|---|
| 1083 | qr(k,j,i) = qr(k,j,i) + ( sed_qr(k+1) - sed_qr(k) ) * & |
|---|
| 1084 | ddzu(k+1) / hyrho(k) * dt_micro |
|---|
| 1085 | q(k,j,i) = q(k,j,i) + ( sed_qr(k+1) - sed_qr(k) ) * & |
|---|
| 1086 | ddzu(k+1) / hyrho(k) * dt_micro |
|---|
| 1087 | pt(k,j,i) = pt(k,j,i) - ( sed_qr(k+1) - sed_qr(k) ) * & |
|---|
| 1088 | ddzu(k+1) / hyrho(k) * l_d_cp * & |
|---|
| 1089 | pt_d_t(k) * dt_micro |
|---|
| 1090 | ! |
|---|
| 1091 | !-- Compute the rain rate |
|---|
| 1092 | IF ( call_microphysics_at_all_substeps ) THEN |
|---|
| 1093 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) & |
|---|
| 1094 | * weight_substep(intermediate_timestep_count) |
|---|
| 1095 | ELSE |
|---|
| 1096 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) |
|---|
| 1097 | ENDIF |
|---|
| 1098 | |
|---|
| 1099 | ENDDO |
|---|
| 1100 | ENDDO |
|---|
| 1101 | ENDDO |
|---|
| 1102 | |
|---|
| 1103 | CALL cpu_log( log_point_s(60), 'sed_rain', 'stop' ) |
|---|
| 1104 | |
|---|
| 1105 | END SUBROUTINE sedimentation_rain |
|---|
| 1106 | |
|---|
| 1107 | |
|---|
| 1108 | !------------------------------------------------------------------------------! |
|---|
| 1109 | ! Description: |
|---|
| 1110 | ! ------------ |
|---|
| 1111 | !> Computation of the precipitation amount due to gravitational settling of |
|---|
| 1112 | !> rain and cloud (fog) droplets |
|---|
| 1113 | !------------------------------------------------------------------------------! |
|---|
| 1114 | SUBROUTINE calc_precipitation_amount |
|---|
| 1115 | |
|---|
| 1116 | USE cloud_parameters, & |
|---|
| 1117 | ONLY: hyrho, precipitation_amount, prr |
|---|
| 1118 | |
|---|
| 1119 | USE control_parameters, & |
|---|
| 1120 | ONLY: call_microphysics_at_all_substeps, dt_do2d_xy, dt_3d, & |
|---|
| 1121 | intermediate_timestep_count, intermediate_timestep_count_max,& |
|---|
| 1122 | precipitation_amount_interval, time_do2d_xy |
|---|
| 1123 | |
|---|
| 1124 | USE indices, & |
|---|
| 1125 | ONLY: nxl, nxr, nys, nyn, nzb_s_inner |
|---|
| 1126 | |
|---|
| 1127 | USE kinds |
|---|
| 1128 | |
|---|
| 1129 | IMPLICIT NONE |
|---|
| 1130 | |
|---|
| 1131 | INTEGER(iwp) :: i !: |
|---|
| 1132 | INTEGER(iwp) :: j !: |
|---|
| 1133 | |
|---|
| 1134 | |
|---|
| 1135 | IF ( ( dt_do2d_xy - time_do2d_xy ) < precipitation_amount_interval .AND.& |
|---|
| 1136 | ( .NOT. call_microphysics_at_all_substeps .OR. & |
|---|
| 1137 | intermediate_timestep_count == intermediate_timestep_count_max ) ) & |
|---|
| 1138 | THEN |
|---|
| 1139 | |
|---|
| 1140 | DO i = nxl, nxr |
|---|
| 1141 | DO j = nys, nyn |
|---|
| 1142 | |
|---|
| 1143 | precipitation_amount(j,i) = precipitation_amount(j,i) + & |
|---|
| 1144 | prr(nzb_s_inner(j,i)+1,j,i) * & |
|---|
| 1145 | hyrho(nzb_s_inner(j,i)+1) * dt_3d |
|---|
| 1146 | |
|---|
| 1147 | ENDDO |
|---|
| 1148 | ENDDO |
|---|
| 1149 | ENDIF |
|---|
| 1150 | |
|---|
| 1151 | END SUBROUTINE calc_precipitation_amount |
|---|
| 1152 | |
|---|
| 1153 | |
|---|
| 1154 | !------------------------------------------------------------------------------! |
|---|
| 1155 | ! Description: |
|---|
| 1156 | ! ------------ |
|---|
| 1157 | !> Call for grid point i,j |
|---|
| 1158 | !------------------------------------------------------------------------------! |
|---|
| 1159 | |
|---|
| 1160 | SUBROUTINE microphysics_control_ij( i, j ) |
|---|
| 1161 | |
|---|
| 1162 | USE arrays_3d, & |
|---|
| 1163 | ONLY: hyp, nc_1d, nr, nr_1d, pt, pt_init, pt_1d, q, q_1d, qc, & |
|---|
| 1164 | qc_1d, qr, qr_1d, zu |
|---|
| 1165 | |
|---|
| 1166 | USE cloud_parameters, & |
|---|
| 1167 | ONLY: cp, hyrho, nc_const, prr, pt_d_t, r_d, t_d_pt |
|---|
| 1168 | |
|---|
| 1169 | USE control_parameters, & |
|---|
| 1170 | ONLY: call_microphysics_at_all_substeps, drizzle, dt_3d, dt_micro, & |
|---|
| 1171 | g, intermediate_timestep_count, large_scale_forcing, & |
|---|
| 1172 | lsf_surf, microphysics_seifert, microphysics_kessler, & |
|---|
| 1173 | pt_surface, rho_surface, surface_pressure |
|---|
| 1174 | |
|---|
| 1175 | USE indices, & |
|---|
| 1176 | ONLY: nzb, nzt |
|---|
| 1177 | |
|---|
| 1178 | USE kinds |
|---|
| 1179 | |
|---|
| 1180 | USE statistics, & |
|---|
| 1181 | ONLY: weight_pres |
|---|
| 1182 | |
|---|
| 1183 | IMPLICIT NONE |
|---|
| 1184 | |
|---|
| 1185 | INTEGER(iwp) :: i !< |
|---|
| 1186 | INTEGER(iwp) :: j !< |
|---|
| 1187 | INTEGER(iwp) :: k !< |
|---|
| 1188 | |
|---|
| 1189 | REAL(wp) :: t_surface !< |
|---|
| 1190 | |
|---|
| 1191 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
|---|
| 1192 | ! |
|---|
| 1193 | !-- Calculate: |
|---|
| 1194 | !-- pt / t : ratio of potential and actual temperature (pt_d_t) |
|---|
| 1195 | !-- t / pt : ratio of actual and potential temperature (t_d_pt) |
|---|
| 1196 | !-- p_0(z) : vertical profile of the hydrostatic pressure (hyp) |
|---|
| 1197 | t_surface = pt_surface * ( surface_pressure / 1000.0_wp )**0.286_wp |
|---|
| 1198 | DO k = nzb, nzt+1 |
|---|
| 1199 | hyp(k) = surface_pressure * 100.0_wp * & |
|---|
| 1200 | ( ( t_surface - g / cp * zu(k) ) / t_surface )**(1.0_wp / 0.286_wp) |
|---|
| 1201 | pt_d_t(k) = ( 100000.0_wp / hyp(k) )**0.286_wp |
|---|
| 1202 | t_d_pt(k) = 1.0_wp / pt_d_t(k) |
|---|
| 1203 | hyrho(k) = hyp(k) / ( r_d * t_d_pt(k) * pt_init(k) ) |
|---|
| 1204 | ENDDO |
|---|
| 1205 | ! |
|---|
| 1206 | !-- Compute reference density |
|---|
| 1207 | rho_surface = surface_pressure * 100.0_wp / ( r_d * t_surface ) |
|---|
| 1208 | ENDIF |
|---|
| 1209 | |
|---|
| 1210 | ! |
|---|
| 1211 | !-- Compute length of time step |
|---|
| 1212 | IF ( call_microphysics_at_all_substeps ) THEN |
|---|
| 1213 | dt_micro = dt_3d * weight_pres(intermediate_timestep_count) |
|---|
| 1214 | ELSE |
|---|
| 1215 | dt_micro = dt_3d |
|---|
| 1216 | ENDIF |
|---|
| 1217 | |
|---|
| 1218 | ! |
|---|
| 1219 | !-- Use 1d arrays |
|---|
| 1220 | q_1d(:) = q(:,j,i) |
|---|
| 1221 | pt_1d(:) = pt(:,j,i) |
|---|
| 1222 | qc_1d(:) = qc(:,j,i) |
|---|
| 1223 | nc_1d(:) = nc_const |
|---|
| 1224 | IF ( microphysics_seifert ) THEN |
|---|
| 1225 | qr_1d(:) = qr(:,j,i) |
|---|
| 1226 | nr_1d(:) = nr(:,j,i) |
|---|
| 1227 | ENDIF |
|---|
| 1228 | |
|---|
| 1229 | ! |
|---|
| 1230 | !-- Reset precipitation rate |
|---|
| 1231 | IF ( intermediate_timestep_count == 1 ) prr(:,j,i) = 0.0_wp |
|---|
| 1232 | |
|---|
| 1233 | ! |
|---|
| 1234 | !-- Compute cloud physics |
|---|
| 1235 | IF( microphysics_kessler ) THEN |
|---|
| 1236 | |
|---|
| 1237 | CALL autoconversion_kessler( i,j ) |
|---|
| 1238 | |
|---|
| 1239 | ELSEIF ( microphysics_seifert ) THEN |
|---|
| 1240 | |
|---|
| 1241 | CALL adjust_cloud( i,j ) |
|---|
| 1242 | CALL autoconversion( i,j ) |
|---|
| 1243 | CALL accretion( i,j ) |
|---|
| 1244 | CALL selfcollection_breakup( i,j ) |
|---|
| 1245 | CALL evaporation_rain( i,j ) |
|---|
| 1246 | CALL sedimentation_rain( i,j ) |
|---|
| 1247 | |
|---|
| 1248 | IF ( drizzle ) CALL sedimentation_cloud( i,j ) |
|---|
| 1249 | |
|---|
| 1250 | ENDIF |
|---|
| 1251 | |
|---|
| 1252 | CALL calc_precipitation_amount( i,j ) |
|---|
| 1253 | |
|---|
| 1254 | ! |
|---|
| 1255 | !-- Store results on the 3d arrays |
|---|
| 1256 | q(:,j,i) = q_1d(:) |
|---|
| 1257 | pt(:,j,i) = pt_1d(:) |
|---|
| 1258 | IF ( microphysics_seifert ) THEN |
|---|
| 1259 | qr(:,j,i) = qr_1d(:) |
|---|
| 1260 | nr(:,j,i) = nr_1d(:) |
|---|
| 1261 | ENDIF |
|---|
| 1262 | |
|---|
| 1263 | END SUBROUTINE microphysics_control_ij |
|---|
| 1264 | |
|---|
| 1265 | !------------------------------------------------------------------------------! |
|---|
| 1266 | ! Description: |
|---|
| 1267 | ! ------------ |
|---|
| 1268 | !> Adjust number of raindrops to avoid nonlinear effects in |
|---|
| 1269 | !> sedimentation and evaporation of rain drops due to too small or |
|---|
| 1270 | !> too big weights of rain drops (Stevens and Seifert, 2008). |
|---|
| 1271 | !> The same procedure is applied to cloud droplets if they are determined |
|---|
| 1272 | !> prognostically. Call for grid point i,j |
|---|
| 1273 | !------------------------------------------------------------------------------! |
|---|
| 1274 | SUBROUTINE adjust_cloud_ij( i, j ) |
|---|
| 1275 | |
|---|
| 1276 | USE arrays_3d, & |
|---|
| 1277 | ONLY: qr_1d, nr_1d |
|---|
| 1278 | |
|---|
| 1279 | USE cloud_parameters, & |
|---|
| 1280 | ONLY: eps_sb, xrmin, xrmax, hyrho |
|---|
| 1281 | |
|---|
| 1282 | USE indices, & |
|---|
| 1283 | ONLY: nzb_s_inner, nzt |
|---|
| 1284 | |
|---|
| 1285 | USE kinds |
|---|
| 1286 | |
|---|
| 1287 | IMPLICIT NONE |
|---|
| 1288 | |
|---|
| 1289 | INTEGER(iwp) :: i !< |
|---|
| 1290 | INTEGER(iwp) :: j !< |
|---|
| 1291 | INTEGER(iwp) :: k !< |
|---|
| 1292 | |
|---|
| 1293 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1294 | |
|---|
| 1295 | IF ( qr_1d(k) <= eps_sb ) THEN |
|---|
| 1296 | qr_1d(k) = 0.0_wp |
|---|
| 1297 | nr_1d(k) = 0.0_wp |
|---|
| 1298 | ELSE |
|---|
| 1299 | ! |
|---|
| 1300 | !-- Adjust number of raindrops to avoid nonlinear effects in |
|---|
| 1301 | !-- sedimentation and evaporation of rain drops due to too small or |
|---|
| 1302 | !-- too big weights of rain drops (Stevens and Seifert, 2008). |
|---|
| 1303 | IF ( nr_1d(k) * xrmin > qr_1d(k) * hyrho(k) ) THEN |
|---|
| 1304 | nr_1d(k) = qr_1d(k) * hyrho(k) / xrmin |
|---|
| 1305 | ELSEIF ( nr_1d(k) * xrmax < qr_1d(k) * hyrho(k) ) THEN |
|---|
| 1306 | nr_1d(k) = qr_1d(k) * hyrho(k) / xrmax |
|---|
| 1307 | ENDIF |
|---|
| 1308 | |
|---|
| 1309 | ENDIF |
|---|
| 1310 | |
|---|
| 1311 | ENDDO |
|---|
| 1312 | |
|---|
| 1313 | END SUBROUTINE adjust_cloud_ij |
|---|
| 1314 | |
|---|
| 1315 | |
|---|
| 1316 | !------------------------------------------------------------------------------! |
|---|
| 1317 | ! Description: |
|---|
| 1318 | ! ------------ |
|---|
| 1319 | !> Autoconversion rate (Seifert and Beheng, 2006). Call for grid point i,j |
|---|
| 1320 | !------------------------------------------------------------------------------! |
|---|
| 1321 | SUBROUTINE autoconversion_ij( i, j ) |
|---|
| 1322 | |
|---|
| 1323 | USE arrays_3d, & |
|---|
| 1324 | ONLY: diss, dzu, nc_1d, nr_1d, qc_1d, qr_1d |
|---|
| 1325 | |
|---|
| 1326 | USE cloud_parameters, & |
|---|
| 1327 | ONLY: a_1, a_2, a_3, b_1, b_2, b_3, beta_cc, c_1, c_2, c_3, & |
|---|
| 1328 | c_const, dpirho_l, eps_sb, hyrho, kin_vis_air, k_cc, x0 |
|---|
| 1329 | |
|---|
| 1330 | USE control_parameters, & |
|---|
| 1331 | ONLY: dt_micro, rho_surface, turbulence |
|---|
| 1332 | |
|---|
| 1333 | USE grid_variables, & |
|---|
| 1334 | ONLY: dx, dy |
|---|
| 1335 | |
|---|
| 1336 | USE indices, & |
|---|
| 1337 | ONLY: nzb_s_inner, nzt |
|---|
| 1338 | |
|---|
| 1339 | USE kinds |
|---|
| 1340 | |
|---|
| 1341 | IMPLICIT NONE |
|---|
| 1342 | |
|---|
| 1343 | INTEGER(iwp) :: i !< |
|---|
| 1344 | INTEGER(iwp) :: j !< |
|---|
| 1345 | INTEGER(iwp) :: k !< |
|---|
| 1346 | |
|---|
| 1347 | REAL(wp) :: alpha_cc !< |
|---|
| 1348 | REAL(wp) :: autocon !< |
|---|
| 1349 | REAL(wp) :: dissipation !< |
|---|
| 1350 | REAL(wp) :: k_au !< |
|---|
| 1351 | REAL(wp) :: l_mix !< |
|---|
| 1352 | REAL(wp) :: nu_c !< |
|---|
| 1353 | REAL(wp) :: phi_au !< |
|---|
| 1354 | REAL(wp) :: r_cc !< |
|---|
| 1355 | REAL(wp) :: rc !< |
|---|
| 1356 | REAL(wp) :: re_lambda !< |
|---|
| 1357 | REAL(wp) :: sigma_cc !< |
|---|
| 1358 | REAL(wp) :: tau_cloud !< |
|---|
| 1359 | REAL(wp) :: xc !< |
|---|
| 1360 | |
|---|
| 1361 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1362 | |
|---|
| 1363 | IF ( qc_1d(k) > eps_sb ) THEN |
|---|
| 1364 | |
|---|
| 1365 | k_au = k_cc / ( 20.0_wp * x0 ) |
|---|
| 1366 | ! |
|---|
| 1367 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
|---|
| 1368 | !-- (1.0_wp - qc(k,j,i) / ( qc(k,j,i) + qr_1d(k) )) |
|---|
| 1369 | tau_cloud = 1.0_wp - qc_1d(k) / ( qr_1d(k) + qc_1d(k) ) |
|---|
| 1370 | ! |
|---|
| 1371 | !-- Universal function for autoconversion process |
|---|
| 1372 | !-- (Seifert and Beheng, 2006): |
|---|
| 1373 | phi_au = 600.0_wp * tau_cloud**0.68_wp * ( 1.0_wp - tau_cloud**0.68_wp )**3 |
|---|
| 1374 | ! |
|---|
| 1375 | !-- Shape parameter of gamma distribution (Geoffroy et al., 2010): |
|---|
| 1376 | !-- (Use constant nu_c = 1.0_wp instead?) |
|---|
| 1377 | nu_c = 1.0_wp !MAX( 0.0_wp, 1580.0_wp * hyrho(k) * qc_1d(k) - 0.28_wp ) |
|---|
| 1378 | ! |
|---|
| 1379 | !-- Mean weight of cloud droplets: |
|---|
| 1380 | xc = hyrho(k) * qc_1d(k) / nc_1d(k) |
|---|
| 1381 | ! |
|---|
| 1382 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
|---|
| 1383 | !-- Nuijens and Stevens, 2010) |
|---|
| 1384 | IF ( turbulence ) THEN |
|---|
| 1385 | ! |
|---|
| 1386 | !-- Weight averaged radius of cloud droplets: |
|---|
| 1387 | rc = 0.5_wp * ( xc * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 1388 | |
|---|
| 1389 | alpha_cc = ( a_1 + a_2 * nu_c ) / ( 1.0_wp + a_3 * nu_c ) |
|---|
| 1390 | r_cc = ( b_1 + b_2 * nu_c ) / ( 1.0_wp + b_3 * nu_c ) |
|---|
| 1391 | sigma_cc = ( c_1 + c_2 * nu_c ) / ( 1.0_wp + c_3 * nu_c ) |
|---|
| 1392 | ! |
|---|
| 1393 | !-- Mixing length (neglecting distance to ground and stratification) |
|---|
| 1394 | l_mix = ( dx * dy * dzu(k) )**( 1.0_wp / 3.0_wp ) |
|---|
| 1395 | ! |
|---|
| 1396 | !-- Limit dissipation rate according to Seifert, Nuijens and |
|---|
| 1397 | !-- Stevens (2010) |
|---|
| 1398 | dissipation = MIN( 0.06_wp, diss(k,j,i) ) |
|---|
| 1399 | ! |
|---|
| 1400 | !-- Compute Taylor-microscale Reynolds number: |
|---|
| 1401 | re_lambda = 6.0_wp / 11.0_wp * & |
|---|
| 1402 | ( l_mix / c_const )**( 2.0_wp / 3.0_wp ) * & |
|---|
| 1403 | SQRT( 15.0_wp / kin_vis_air ) * & |
|---|
| 1404 | dissipation**( 1.0_wp / 6.0_wp ) |
|---|
| 1405 | ! |
|---|
| 1406 | !-- The factor of 1.0E4 is needed to convert the dissipation rate |
|---|
| 1407 | !-- from m2 s-3 to cm2 s-3. |
|---|
| 1408 | k_au = k_au * ( 1.0_wp + & |
|---|
| 1409 | dissipation * 1.0E4_wp * & |
|---|
| 1410 | ( re_lambda * 1.0E-3_wp )**0.25_wp * & |
|---|
| 1411 | ( alpha_cc * EXP( -1.0_wp * ( ( rc - r_cc ) / & |
|---|
| 1412 | sigma_cc )**2 & |
|---|
| 1413 | ) + beta_cc & |
|---|
| 1414 | ) & |
|---|
| 1415 | ) |
|---|
| 1416 | ENDIF |
|---|
| 1417 | ! |
|---|
| 1418 | !-- Autoconversion rate (Seifert and Beheng, 2006): |
|---|
| 1419 | autocon = k_au * ( nu_c + 2.0_wp ) * ( nu_c + 4.0_wp ) / & |
|---|
| 1420 | ( nu_c + 1.0_wp )**2 * qc_1d(k)**2 * xc**2 * & |
|---|
| 1421 | ( 1.0_wp + phi_au / ( 1.0_wp - tau_cloud )**2 ) * & |
|---|
| 1422 | rho_surface |
|---|
| 1423 | autocon = MIN( autocon, qc_1d(k) / dt_micro ) |
|---|
| 1424 | |
|---|
| 1425 | qr_1d(k) = qr_1d(k) + autocon * dt_micro |
|---|
| 1426 | qc_1d(k) = qc_1d(k) - autocon * dt_micro |
|---|
| 1427 | nr_1d(k) = nr_1d(k) + autocon / x0 * hyrho(k) * dt_micro |
|---|
| 1428 | |
|---|
| 1429 | ENDIF |
|---|
| 1430 | |
|---|
| 1431 | ENDDO |
|---|
| 1432 | |
|---|
| 1433 | END SUBROUTINE autoconversion_ij |
|---|
| 1434 | |
|---|
| 1435 | !------------------------------------------------------------------------------! |
|---|
| 1436 | ! Description: |
|---|
| 1437 | ! ------------ |
|---|
| 1438 | !> Autoconversion process (Kessler, 1969). |
|---|
| 1439 | !------------------------------------------------------------------------------! |
|---|
| 1440 | SUBROUTINE autoconversion_kessler_ij( i, j ) |
|---|
| 1441 | |
|---|
| 1442 | USE arrays_3d, & |
|---|
| 1443 | ONLY: dzw, pt_1d, q_1d, qc_1d |
|---|
| 1444 | |
|---|
| 1445 | USE cloud_parameters, & |
|---|
| 1446 | ONLY: l_d_cp, pt_d_t, prec_time_const, prr, ql_crit |
|---|
| 1447 | |
|---|
| 1448 | USE control_parameters, & |
|---|
| 1449 | ONLY: dt_micro |
|---|
| 1450 | |
|---|
| 1451 | USE indices, & |
|---|
| 1452 | ONLY: nzb_2d, nzt |
|---|
| 1453 | |
|---|
| 1454 | USE kinds |
|---|
| 1455 | |
|---|
| 1456 | |
|---|
| 1457 | IMPLICIT NONE |
|---|
| 1458 | |
|---|
| 1459 | INTEGER(iwp) :: i !< |
|---|
| 1460 | INTEGER(iwp) :: j !< |
|---|
| 1461 | INTEGER(iwp) :: k !< |
|---|
| 1462 | |
|---|
| 1463 | REAL(wp) :: dqdt_precip !< |
|---|
| 1464 | |
|---|
| 1465 | DO k = nzb_2d(j,i)+1, nzt |
|---|
| 1466 | |
|---|
| 1467 | IF ( qc_1d(k) > ql_crit ) THEN |
|---|
| 1468 | dqdt_precip = prec_time_const * ( qc_1d(k) - ql_crit ) |
|---|
| 1469 | ELSE |
|---|
| 1470 | dqdt_precip = 0.0_wp |
|---|
| 1471 | ENDIF |
|---|
| 1472 | |
|---|
| 1473 | qc_1d(k) = qc_1d(k) - dqdt_precip * dt_micro |
|---|
| 1474 | q_1d(k) = q_1d(k) - dqdt_precip * dt_micro |
|---|
| 1475 | pt_1d(k) = pt_1d(k) + dqdt_precip * dt_micro * l_d_cp * pt_d_t(k) |
|---|
| 1476 | |
|---|
| 1477 | ! |
|---|
| 1478 | !-- Compute the rain rate |
|---|
| 1479 | prr(nzb_2d(j,i)+1,j,i) = prr(nzb_2d(j,i)+1,j,i) + & |
|---|
| 1480 | dqdt_precip * dzw(k) |
|---|
| 1481 | |
|---|
| 1482 | ENDDO |
|---|
| 1483 | |
|---|
| 1484 | END SUBROUTINE autoconversion_kessler_ij |
|---|
| 1485 | |
|---|
| 1486 | !------------------------------------------------------------------------------! |
|---|
| 1487 | ! Description: |
|---|
| 1488 | ! ------------ |
|---|
| 1489 | !> Accretion rate (Seifert and Beheng, 2006). Call for grid point i,j |
|---|
| 1490 | !------------------------------------------------------------------------------! |
|---|
| 1491 | SUBROUTINE accretion_ij( i, j ) |
|---|
| 1492 | |
|---|
| 1493 | USE arrays_3d, & |
|---|
| 1494 | ONLY: diss, qc_1d, qr_1d |
|---|
| 1495 | |
|---|
| 1496 | USE cloud_parameters, & |
|---|
| 1497 | ONLY: eps_sb, hyrho, k_cr0 |
|---|
| 1498 | |
|---|
| 1499 | USE control_parameters, & |
|---|
| 1500 | ONLY: dt_micro, rho_surface, turbulence |
|---|
| 1501 | |
|---|
| 1502 | USE indices, & |
|---|
| 1503 | ONLY: nzb_s_inner, nzt |
|---|
| 1504 | |
|---|
| 1505 | USE kinds |
|---|
| 1506 | |
|---|
| 1507 | IMPLICIT NONE |
|---|
| 1508 | |
|---|
| 1509 | INTEGER(iwp) :: i !< |
|---|
| 1510 | INTEGER(iwp) :: j !< |
|---|
| 1511 | INTEGER(iwp) :: k !< |
|---|
| 1512 | |
|---|
| 1513 | REAL(wp) :: accr !< |
|---|
| 1514 | REAL(wp) :: k_cr !< |
|---|
| 1515 | REAL(wp) :: phi_ac !< |
|---|
| 1516 | REAL(wp) :: tau_cloud !< |
|---|
| 1517 | |
|---|
| 1518 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1519 | IF ( ( qc_1d(k) > eps_sb ) .AND. ( qr_1d(k) > eps_sb ) ) THEN |
|---|
| 1520 | ! |
|---|
| 1521 | !-- Intern time scale of coagulation (Seifert and Beheng, 2006): |
|---|
| 1522 | tau_cloud = 1.0_wp - qc_1d(k) / ( qc_1d(k) + qr_1d(k) ) |
|---|
| 1523 | ! |
|---|
| 1524 | !-- Universal function for accretion process |
|---|
| 1525 | !-- (Seifert and Beheng, 2001): |
|---|
| 1526 | phi_ac = ( tau_cloud / ( tau_cloud + 5.0E-5_wp ) )**4 |
|---|
| 1527 | ! |
|---|
| 1528 | !-- Parameterized turbulence effects on autoconversion (Seifert, |
|---|
| 1529 | !-- Nuijens and Stevens, 2010). The factor of 1.0E4 is needed to |
|---|
| 1530 | !-- convert the dissipation rate (diss) from m2 s-3 to cm2 s-3. |
|---|
| 1531 | IF ( turbulence ) THEN |
|---|
| 1532 | k_cr = k_cr0 * ( 1.0_wp + 0.05_wp * & |
|---|
| 1533 | MIN( 600.0_wp, & |
|---|
| 1534 | diss(k,j,i) * 1.0E4_wp )**0.25_wp & |
|---|
| 1535 | ) |
|---|
| 1536 | ELSE |
|---|
| 1537 | k_cr = k_cr0 |
|---|
| 1538 | ENDIF |
|---|
| 1539 | ! |
|---|
| 1540 | !-- Accretion rate (Seifert and Beheng, 2006): |
|---|
| 1541 | accr = k_cr * qc_1d(k) * qr_1d(k) * phi_ac * SQRT( rho_surface * hyrho(k) ) |
|---|
| 1542 | accr = MIN( accr, qc_1d(k) / dt_micro ) |
|---|
| 1543 | |
|---|
| 1544 | qr_1d(k) = qr_1d(k) + accr * dt_micro |
|---|
| 1545 | qc_1d(k) = qc_1d(k) - accr * dt_micro |
|---|
| 1546 | |
|---|
| 1547 | ENDIF |
|---|
| 1548 | |
|---|
| 1549 | ENDDO |
|---|
| 1550 | |
|---|
| 1551 | END SUBROUTINE accretion_ij |
|---|
| 1552 | |
|---|
| 1553 | |
|---|
| 1554 | !------------------------------------------------------------------------------! |
|---|
| 1555 | ! Description: |
|---|
| 1556 | ! ------------ |
|---|
| 1557 | !> Collisional breakup rate (Seifert, 2008). Call for grid point i,j |
|---|
| 1558 | !------------------------------------------------------------------------------! |
|---|
| 1559 | SUBROUTINE selfcollection_breakup_ij( i, j ) |
|---|
| 1560 | |
|---|
| 1561 | USE arrays_3d, & |
|---|
| 1562 | ONLY: nr_1d, qr_1d |
|---|
| 1563 | |
|---|
| 1564 | USE cloud_parameters, & |
|---|
| 1565 | ONLY: dpirho_l, eps_sb, hyrho, k_br, k_rr |
|---|
| 1566 | |
|---|
| 1567 | USE control_parameters, & |
|---|
| 1568 | ONLY: dt_micro, rho_surface |
|---|
| 1569 | |
|---|
| 1570 | USE indices, & |
|---|
| 1571 | ONLY: nzb_s_inner, nzt |
|---|
| 1572 | |
|---|
| 1573 | USE kinds |
|---|
| 1574 | |
|---|
| 1575 | IMPLICIT NONE |
|---|
| 1576 | |
|---|
| 1577 | INTEGER(iwp) :: i !< |
|---|
| 1578 | INTEGER(iwp) :: j !< |
|---|
| 1579 | INTEGER(iwp) :: k !< |
|---|
| 1580 | |
|---|
| 1581 | REAL(wp) :: breakup !< |
|---|
| 1582 | REAL(wp) :: dr !< |
|---|
| 1583 | REAL(wp) :: phi_br !< |
|---|
| 1584 | REAL(wp) :: selfcoll !< |
|---|
| 1585 | |
|---|
| 1586 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1587 | IF ( qr_1d(k) > eps_sb ) THEN |
|---|
| 1588 | ! |
|---|
| 1589 | !-- Selfcollection rate (Seifert and Beheng, 2001): |
|---|
| 1590 | selfcoll = k_rr * nr_1d(k) * qr_1d(k) * SQRT( hyrho(k) * rho_surface ) |
|---|
| 1591 | ! |
|---|
| 1592 | !-- Weight averaged diameter of rain drops: |
|---|
| 1593 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 1594 | ! |
|---|
| 1595 | !-- Collisional breakup rate (Seifert, 2008): |
|---|
| 1596 | IF ( dr >= 0.3E-3_wp ) THEN |
|---|
| 1597 | phi_br = k_br * ( dr - 1.1E-3_wp ) |
|---|
| 1598 | breakup = selfcoll * ( phi_br + 1.0_wp ) |
|---|
| 1599 | ELSE |
|---|
| 1600 | breakup = 0.0_wp |
|---|
| 1601 | ENDIF |
|---|
| 1602 | |
|---|
| 1603 | selfcoll = MAX( breakup - selfcoll, -nr_1d(k) / dt_micro ) |
|---|
| 1604 | nr_1d(k) = nr_1d(k) + selfcoll * dt_micro |
|---|
| 1605 | |
|---|
| 1606 | ENDIF |
|---|
| 1607 | ENDDO |
|---|
| 1608 | |
|---|
| 1609 | END SUBROUTINE selfcollection_breakup_ij |
|---|
| 1610 | |
|---|
| 1611 | |
|---|
| 1612 | !------------------------------------------------------------------------------! |
|---|
| 1613 | ! Description: |
|---|
| 1614 | ! ------------ |
|---|
| 1615 | !> Evaporation of precipitable water. Condensation is neglected for |
|---|
| 1616 | !> precipitable water. Call for grid point i,j |
|---|
| 1617 | !------------------------------------------------------------------------------! |
|---|
| 1618 | SUBROUTINE evaporation_rain_ij( i, j ) |
|---|
| 1619 | |
|---|
| 1620 | USE arrays_3d, & |
|---|
| 1621 | ONLY: hyp, nr_1d, pt_1d, q_1d, qc_1d, qr_1d |
|---|
| 1622 | |
|---|
| 1623 | USE cloud_parameters, & |
|---|
| 1624 | ONLY: a_term, a_vent, b_term, b_vent, c_evap, c_term, diff_coeff_l,& |
|---|
| 1625 | dpirho_l, eps_sb, hyrho, kin_vis_air, l_d_cp, l_d_r, & |
|---|
| 1626 | l_v, r_v, schmidt_p_1d3, thermal_conductivity_l, & |
|---|
| 1627 | t_d_pt, ventilation_effect |
|---|
| 1628 | |
|---|
| 1629 | USE constants, & |
|---|
| 1630 | ONLY: pi |
|---|
| 1631 | |
|---|
| 1632 | USE control_parameters, & |
|---|
| 1633 | ONLY: dt_micro |
|---|
| 1634 | |
|---|
| 1635 | USE indices, & |
|---|
| 1636 | ONLY: nzb_s_inner, nzt |
|---|
| 1637 | |
|---|
| 1638 | USE kinds |
|---|
| 1639 | |
|---|
| 1640 | IMPLICIT NONE |
|---|
| 1641 | |
|---|
| 1642 | INTEGER(iwp) :: i !< |
|---|
| 1643 | INTEGER(iwp) :: j !< |
|---|
| 1644 | INTEGER(iwp) :: k !< |
|---|
| 1645 | |
|---|
| 1646 | REAL(wp) :: alpha !< |
|---|
| 1647 | REAL(wp) :: dr !< |
|---|
| 1648 | REAL(wp) :: e_s !< |
|---|
| 1649 | REAL(wp) :: evap !< |
|---|
| 1650 | REAL(wp) :: evap_nr !< |
|---|
| 1651 | REAL(wp) :: f_vent !< |
|---|
| 1652 | REAL(wp) :: g_evap !< |
|---|
| 1653 | REAL(wp) :: lambda_r !< |
|---|
| 1654 | REAL(wp) :: mu_r !< |
|---|
| 1655 | REAL(wp) :: mu_r_2 !< |
|---|
| 1656 | REAL(wp) :: mu_r_5d2 !< |
|---|
| 1657 | REAL(wp) :: nr_0 !< |
|---|
| 1658 | REAL(wp) :: q_s !< |
|---|
| 1659 | REAL(wp) :: sat !< |
|---|
| 1660 | REAL(wp) :: t_l !< |
|---|
| 1661 | REAL(wp) :: temp !< |
|---|
| 1662 | REAL(wp) :: xr !< |
|---|
| 1663 | |
|---|
| 1664 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1665 | IF ( qr_1d(k) > eps_sb ) THEN |
|---|
| 1666 | ! |
|---|
| 1667 | !-- Actual liquid water temperature: |
|---|
| 1668 | t_l = t_d_pt(k) * pt_1d(k) |
|---|
| 1669 | ! |
|---|
| 1670 | !-- Saturation vapor pressure at t_l: |
|---|
| 1671 | e_s = 610.78_wp * EXP( 17.269_wp * ( t_l - 273.16_wp ) / & |
|---|
| 1672 | ( t_l - 35.86_wp ) & |
|---|
| 1673 | ) |
|---|
| 1674 | ! |
|---|
| 1675 | !-- Computation of saturation humidity: |
|---|
| 1676 | q_s = 0.622_wp * e_s / ( hyp(k) - 0.378_wp * e_s ) |
|---|
| 1677 | alpha = 0.622_wp * l_d_r * l_d_cp / ( t_l * t_l ) |
|---|
| 1678 | q_s = q_s * ( 1.0_wp + alpha * q_1d(k) ) / ( 1.0_wp + alpha * q_s ) |
|---|
| 1679 | ! |
|---|
| 1680 | !-- Supersaturation: |
|---|
| 1681 | sat = ( q_1d(k) - qr_1d(k) - qc_1d(k) ) / q_s - 1.0_wp |
|---|
| 1682 | ! |
|---|
| 1683 | !-- Evaporation needs only to be calculated in subsaturated regions |
|---|
| 1684 | IF ( sat < 0.0_wp ) THEN |
|---|
| 1685 | ! |
|---|
| 1686 | !-- Actual temperature: |
|---|
| 1687 | temp = t_l + l_d_cp * ( qc_1d(k) + qr_1d(k) ) |
|---|
| 1688 | |
|---|
| 1689 | g_evap = 1.0_wp / ( ( l_v / ( r_v * temp ) - 1.0_wp ) * l_v / & |
|---|
| 1690 | ( thermal_conductivity_l * temp ) + & |
|---|
| 1691 | r_v * temp / ( diff_coeff_l * e_s ) & |
|---|
| 1692 | ) |
|---|
| 1693 | ! |
|---|
| 1694 | !-- Mean weight of rain drops |
|---|
| 1695 | xr = hyrho(k) * qr_1d(k) / nr_1d(k) |
|---|
| 1696 | ! |
|---|
| 1697 | !-- Weight averaged diameter of rain drops: |
|---|
| 1698 | dr = ( xr * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 1699 | ! |
|---|
| 1700 | !-- Compute ventilation factor and intercept parameter |
|---|
| 1701 | !-- (Seifert and Beheng, 2006; Seifert, 2008): |
|---|
| 1702 | IF ( ventilation_effect ) THEN |
|---|
| 1703 | ! |
|---|
| 1704 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
|---|
| 1705 | !-- Stevens and Seifert, 2008): |
|---|
| 1706 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * ( dr - 1.4E-3_wp ) ) ) |
|---|
| 1707 | ! |
|---|
| 1708 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
|---|
| 1709 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
|---|
| 1710 | ( mu_r + 1.0_wp ) & |
|---|
| 1711 | )**( 1.0_wp / 3.0_wp ) / dr |
|---|
| 1712 | |
|---|
| 1713 | mu_r_2 = mu_r + 2.0_wp |
|---|
| 1714 | mu_r_5d2 = mu_r + 2.5_wp |
|---|
| 1715 | |
|---|
| 1716 | f_vent = a_vent * gamm( mu_r_2 ) * lambda_r**( -mu_r_2 ) + & |
|---|
| 1717 | b_vent * schmidt_p_1d3 * & |
|---|
| 1718 | SQRT( a_term / kin_vis_air ) * gamm( mu_r_5d2 ) * & |
|---|
| 1719 | lambda_r**( -mu_r_5d2 ) * & |
|---|
| 1720 | ( 1.0_wp - & |
|---|
| 1721 | 0.5_wp * ( b_term / a_term ) * & |
|---|
| 1722 | ( lambda_r / ( c_term + lambda_r ) & |
|---|
| 1723 | )**mu_r_5d2 - & |
|---|
| 1724 | 0.125_wp * ( b_term / a_term )**2 * & |
|---|
| 1725 | ( lambda_r / ( 2.0_wp * c_term + lambda_r ) & |
|---|
| 1726 | )**mu_r_5d2 - & |
|---|
| 1727 | 0.0625_wp * ( b_term / a_term )**3 * & |
|---|
| 1728 | ( lambda_r / ( 3.0_wp * c_term + lambda_r ) & |
|---|
| 1729 | )**mu_r_5d2 - & |
|---|
| 1730 | 0.0390625_wp * ( b_term / a_term )**4 * & |
|---|
| 1731 | ( lambda_r / ( 4.0_wp * c_term + lambda_r ) & |
|---|
| 1732 | )**mu_r_5d2 & |
|---|
| 1733 | ) |
|---|
| 1734 | |
|---|
| 1735 | nr_0 = nr_1d(k) * lambda_r**( mu_r + 1.0_wp ) / & |
|---|
| 1736 | gamm( mu_r + 1.0_wp ) |
|---|
| 1737 | ELSE |
|---|
| 1738 | f_vent = 1.0_wp |
|---|
| 1739 | nr_0 = nr_1d(k) * dr |
|---|
| 1740 | ENDIF |
|---|
| 1741 | ! |
|---|
| 1742 | !-- Evaporation rate of rain water content (Seifert and Beheng, 2006): |
|---|
| 1743 | evap = 2.0_wp * pi * nr_0 * g_evap * f_vent * sat / hyrho(k) |
|---|
| 1744 | evap = MAX( evap, -qr_1d(k) / dt_micro ) |
|---|
| 1745 | evap_nr = MAX( c_evap * evap / xr * hyrho(k), & |
|---|
| 1746 | -nr_1d(k) / dt_micro ) |
|---|
| 1747 | |
|---|
| 1748 | qr_1d(k) = qr_1d(k) + evap * dt_micro |
|---|
| 1749 | nr_1d(k) = nr_1d(k) + evap_nr * dt_micro |
|---|
| 1750 | |
|---|
| 1751 | ENDIF |
|---|
| 1752 | ENDIF |
|---|
| 1753 | |
|---|
| 1754 | ENDDO |
|---|
| 1755 | |
|---|
| 1756 | END SUBROUTINE evaporation_rain_ij |
|---|
| 1757 | |
|---|
| 1758 | |
|---|
| 1759 | !------------------------------------------------------------------------------! |
|---|
| 1760 | ! Description: |
|---|
| 1761 | ! ------------ |
|---|
| 1762 | !> Sedimentation of cloud droplets (Ackermann et al., 2009, MWR). |
|---|
| 1763 | !> Call for grid point i,j |
|---|
| 1764 | !------------------------------------------------------------------------------! |
|---|
| 1765 | SUBROUTINE sedimentation_cloud_ij( i, j ) |
|---|
| 1766 | |
|---|
| 1767 | USE arrays_3d, & |
|---|
| 1768 | ONLY: ddzu, dzu, nc_1d, pt_1d, q_1d, qc_1d |
|---|
| 1769 | |
|---|
| 1770 | USE cloud_parameters, & |
|---|
| 1771 | ONLY: eps_sb, hyrho, l_d_cp, prr, pt_d_t, sed_qc_const |
|---|
| 1772 | |
|---|
| 1773 | USE control_parameters, & |
|---|
| 1774 | ONLY: call_microphysics_at_all_substeps, dt_micro, & |
|---|
| 1775 | intermediate_timestep_count |
|---|
| 1776 | |
|---|
| 1777 | USE indices, & |
|---|
| 1778 | ONLY: nzb, nzb_s_inner, nzt |
|---|
| 1779 | |
|---|
| 1780 | USE kinds |
|---|
| 1781 | |
|---|
| 1782 | USE statistics, & |
|---|
| 1783 | ONLY: weight_substep |
|---|
| 1784 | |
|---|
| 1785 | IMPLICIT NONE |
|---|
| 1786 | |
|---|
| 1787 | INTEGER(iwp) :: i !< |
|---|
| 1788 | INTEGER(iwp) :: j !< |
|---|
| 1789 | INTEGER(iwp) :: k !< |
|---|
| 1790 | |
|---|
| 1791 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qc !< |
|---|
| 1792 | |
|---|
| 1793 | sed_qc(nzt+1) = 0.0_wp |
|---|
| 1794 | |
|---|
| 1795 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
|---|
| 1796 | IF ( qc_1d(k) > eps_sb ) THEN |
|---|
| 1797 | sed_qc(k) = sed_qc_const * nc_1d(k)**( -2.0_wp / 3.0_wp ) * & |
|---|
| 1798 | ( qc_1d(k) * hyrho(k) )**( 5.0_wp / 3.0_wp ) |
|---|
| 1799 | ELSE |
|---|
| 1800 | sed_qc(k) = 0.0_wp |
|---|
| 1801 | ENDIF |
|---|
| 1802 | |
|---|
| 1803 | sed_qc(k) = MIN( sed_qc(k), hyrho(k) * dzu(k+1) * q_1d(k) / & |
|---|
| 1804 | dt_micro + sed_qc(k+1) & |
|---|
| 1805 | ) |
|---|
| 1806 | |
|---|
| 1807 | q_1d(k) = q_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
|---|
| 1808 | hyrho(k) * dt_micro |
|---|
| 1809 | qc_1d(k) = qc_1d(k) + ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
|---|
| 1810 | hyrho(k) * dt_micro |
|---|
| 1811 | pt_1d(k) = pt_1d(k) - ( sed_qc(k+1) - sed_qc(k) ) * ddzu(k+1) / & |
|---|
| 1812 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro |
|---|
| 1813 | |
|---|
| 1814 | ! |
|---|
| 1815 | !-- Compute the precipitation rate of cloud (fog) droplets |
|---|
| 1816 | IF ( call_microphysics_at_all_substeps ) THEN |
|---|
| 1817 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) * & |
|---|
| 1818 | weight_substep(intermediate_timestep_count) |
|---|
| 1819 | ELSE |
|---|
| 1820 | prr(k,j,i) = prr(k,j,i) + sed_qc(k) / hyrho(k) |
|---|
| 1821 | ENDIF |
|---|
| 1822 | |
|---|
| 1823 | ENDDO |
|---|
| 1824 | |
|---|
| 1825 | END SUBROUTINE sedimentation_cloud_ij |
|---|
| 1826 | |
|---|
| 1827 | |
|---|
| 1828 | !------------------------------------------------------------------------------! |
|---|
| 1829 | ! Description: |
|---|
| 1830 | ! ------------ |
|---|
| 1831 | !> Computation of sedimentation flux. Implementation according to Stevens |
|---|
| 1832 | !> and Seifert (2008). Code is based on UCLA-LES. Call for grid point i,j |
|---|
| 1833 | !------------------------------------------------------------------------------! |
|---|
| 1834 | SUBROUTINE sedimentation_rain_ij( i, j ) |
|---|
| 1835 | |
|---|
| 1836 | USE arrays_3d, & |
|---|
| 1837 | ONLY: ddzu, dzu, nr_1d, pt_1d, q_1d, qr_1d |
|---|
| 1838 | |
|---|
| 1839 | USE cloud_parameters, & |
|---|
| 1840 | ONLY: a_term, b_term, c_term, dpirho_l, eps_sb, hyrho, & |
|---|
| 1841 | limiter_sedimentation, l_d_cp, prr, pt_d_t |
|---|
| 1842 | |
|---|
| 1843 | USE control_parameters, & |
|---|
| 1844 | ONLY: call_microphysics_at_all_substeps, dt_micro, & |
|---|
| 1845 | intermediate_timestep_count |
|---|
| 1846 | |
|---|
| 1847 | USE indices, & |
|---|
| 1848 | ONLY: nzb, nzb_s_inner, nzt |
|---|
| 1849 | |
|---|
| 1850 | USE kinds |
|---|
| 1851 | |
|---|
| 1852 | USE statistics, & |
|---|
| 1853 | ONLY: weight_substep |
|---|
| 1854 | |
|---|
| 1855 | IMPLICIT NONE |
|---|
| 1856 | |
|---|
| 1857 | INTEGER(iwp) :: i !< |
|---|
| 1858 | INTEGER(iwp) :: j !< |
|---|
| 1859 | INTEGER(iwp) :: k !< |
|---|
| 1860 | INTEGER(iwp) :: k_run !< |
|---|
| 1861 | |
|---|
| 1862 | REAL(wp) :: c_run !< |
|---|
| 1863 | REAL(wp) :: d_max !< |
|---|
| 1864 | REAL(wp) :: d_mean !< |
|---|
| 1865 | REAL(wp) :: d_min !< |
|---|
| 1866 | REAL(wp) :: dr !< |
|---|
| 1867 | REAL(wp) :: flux !< |
|---|
| 1868 | REAL(wp) :: lambda_r !< |
|---|
| 1869 | REAL(wp) :: mu_r !< |
|---|
| 1870 | REAL(wp) :: z_run !< |
|---|
| 1871 | |
|---|
| 1872 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_nr !< |
|---|
| 1873 | REAL(wp), DIMENSION(nzb:nzt+1) :: c_qr !< |
|---|
| 1874 | REAL(wp), DIMENSION(nzb:nzt+1) :: nr_slope !< |
|---|
| 1875 | REAL(wp), DIMENSION(nzb:nzt+1) :: qr_slope !< |
|---|
| 1876 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_nr !< |
|---|
| 1877 | REAL(wp), DIMENSION(nzb:nzt+1) :: sed_qr !< |
|---|
| 1878 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_nr !< |
|---|
| 1879 | REAL(wp), DIMENSION(nzb:nzt+1) :: w_qr !< |
|---|
| 1880 | |
|---|
| 1881 | ! |
|---|
| 1882 | !-- Compute velocities |
|---|
| 1883 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1884 | IF ( qr_1d(k) > eps_sb ) THEN |
|---|
| 1885 | ! |
|---|
| 1886 | !-- Weight averaged diameter of rain drops: |
|---|
| 1887 | dr = ( hyrho(k) * qr_1d(k) / nr_1d(k) * dpirho_l )**( 1.0_wp / 3.0_wp ) |
|---|
| 1888 | ! |
|---|
| 1889 | !-- Shape parameter of gamma distribution (Milbrandt and Yau, 2005; |
|---|
| 1890 | !-- Stevens and Seifert, 2008): |
|---|
| 1891 | mu_r = 10.0_wp * ( 1.0_wp + TANH( 1.2E3_wp * ( dr - 1.4E-3_wp ) ) ) |
|---|
| 1892 | ! |
|---|
| 1893 | !-- Slope parameter of gamma distribution (Seifert, 2008): |
|---|
| 1894 | lambda_r = ( ( mu_r + 3.0_wp ) * ( mu_r + 2.0_wp ) * & |
|---|
| 1895 | ( mu_r + 1.0_wp ) )**( 1.0_wp / 3.0_wp ) / dr |
|---|
| 1896 | |
|---|
| 1897 | w_nr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
|---|
| 1898 | a_term - b_term * ( 1.0_wp + & |
|---|
| 1899 | c_term / lambda_r )**( -1.0_wp * & |
|---|
| 1900 | ( mu_r + 1.0_wp ) ) & |
|---|
| 1901 | ) & |
|---|
| 1902 | ) |
|---|
| 1903 | w_qr(k) = MAX( 0.1_wp, MIN( 20.0_wp, & |
|---|
| 1904 | a_term - b_term * ( 1.0_wp + & |
|---|
| 1905 | c_term / lambda_r )**( -1.0_wp * & |
|---|
| 1906 | ( mu_r + 4.0_wp ) ) & |
|---|
| 1907 | ) & |
|---|
| 1908 | ) |
|---|
| 1909 | ELSE |
|---|
| 1910 | w_nr(k) = 0.0_wp |
|---|
| 1911 | w_qr(k) = 0.0_wp |
|---|
| 1912 | ENDIF |
|---|
| 1913 | ENDDO |
|---|
| 1914 | ! |
|---|
| 1915 | !-- Adjust boundary values |
|---|
| 1916 | w_nr(nzb_s_inner(j,i)) = w_nr(nzb_s_inner(j,i)+1) |
|---|
| 1917 | w_qr(nzb_s_inner(j,i)) = w_qr(nzb_s_inner(j,i)+1) |
|---|
| 1918 | w_nr(nzt+1) = 0.0_wp |
|---|
| 1919 | w_qr(nzt+1) = 0.0_wp |
|---|
| 1920 | ! |
|---|
| 1921 | !-- Compute Courant number |
|---|
| 1922 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1923 | c_nr(k) = 0.25_wp * ( w_nr(k-1) + 2.0_wp * w_nr(k) + w_nr(k+1) ) * & |
|---|
| 1924 | dt_micro * ddzu(k) |
|---|
| 1925 | c_qr(k) = 0.25_wp * ( w_qr(k-1) + 2.0_wp * w_qr(k) + w_qr(k+1) ) * & |
|---|
| 1926 | dt_micro * ddzu(k) |
|---|
| 1927 | ENDDO |
|---|
| 1928 | ! |
|---|
| 1929 | !-- Limit slopes with monotonized centered (MC) limiter (van Leer, 1977): |
|---|
| 1930 | IF ( limiter_sedimentation ) THEN |
|---|
| 1931 | |
|---|
| 1932 | DO k = nzb_s_inner(j,i)+1, nzt |
|---|
| 1933 | d_mean = 0.5_wp * ( qr_1d(k+1) - qr_1d(k-1) ) |
|---|
| 1934 | d_min = qr_1d(k) - MIN( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) |
|---|
| 1935 | d_max = MAX( qr_1d(k+1), qr_1d(k), qr_1d(k-1) ) - qr_1d(k) |
|---|
| 1936 | |
|---|
| 1937 | qr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
|---|
| 1938 | 2.0_wp * d_max, & |
|---|
| 1939 | ABS( d_mean ) ) |
|---|
| 1940 | |
|---|
| 1941 | d_mean = 0.5_wp * ( nr_1d(k+1) - nr_1d(k-1) ) |
|---|
| 1942 | d_min = nr_1d(k) - MIN( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) |
|---|
| 1943 | d_max = MAX( nr_1d(k+1), nr_1d(k), nr_1d(k-1) ) - nr_1d(k) |
|---|
| 1944 | |
|---|
| 1945 | nr_slope(k) = SIGN(1.0_wp, d_mean) * MIN ( 2.0_wp * d_min, & |
|---|
| 1946 | 2.0_wp * d_max, & |
|---|
| 1947 | ABS( d_mean ) ) |
|---|
| 1948 | ENDDO |
|---|
| 1949 | |
|---|
| 1950 | ELSE |
|---|
| 1951 | |
|---|
| 1952 | nr_slope = 0.0_wp |
|---|
| 1953 | qr_slope = 0.0_wp |
|---|
| 1954 | |
|---|
| 1955 | ENDIF |
|---|
| 1956 | |
|---|
| 1957 | sed_nr(nzt+1) = 0.0_wp |
|---|
| 1958 | sed_qr(nzt+1) = 0.0_wp |
|---|
| 1959 | ! |
|---|
| 1960 | !-- Compute sedimentation flux |
|---|
| 1961 | DO k = nzt, nzb_s_inner(j,i)+1, -1 |
|---|
| 1962 | ! |
|---|
| 1963 | !-- Sum up all rain drop number densities which contribute to the flux |
|---|
| 1964 | !-- through k-1/2 |
|---|
| 1965 | flux = 0.0_wp |
|---|
| 1966 | z_run = 0.0_wp ! height above z(k) |
|---|
| 1967 | k_run = k |
|---|
| 1968 | c_run = MIN( 1.0_wp, c_nr(k) ) |
|---|
| 1969 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
|---|
| 1970 | flux = flux + hyrho(k_run) * & |
|---|
| 1971 | ( nr_1d(k_run) + nr_slope(k_run) * ( 1.0_wp - c_run ) * & |
|---|
| 1972 | 0.5_wp ) * c_run * dzu(k_run) |
|---|
| 1973 | z_run = z_run + dzu(k_run) |
|---|
| 1974 | k_run = k_run + 1 |
|---|
| 1975 | c_run = MIN( 1.0_wp, c_nr(k_run) - z_run * ddzu(k_run) ) |
|---|
| 1976 | ENDDO |
|---|
| 1977 | ! |
|---|
| 1978 | !-- It is not allowed to sediment more rain drop number density than |
|---|
| 1979 | !-- available |
|---|
| 1980 | flux = MIN( flux, & |
|---|
| 1981 | hyrho(k) * dzu(k+1) * nr_1d(k) + sed_nr(k+1) * dt_micro ) |
|---|
| 1982 | |
|---|
| 1983 | sed_nr(k) = flux / dt_micro |
|---|
| 1984 | nr_1d(k) = nr_1d(k) + ( sed_nr(k+1) - sed_nr(k) ) * ddzu(k+1) / & |
|---|
| 1985 | hyrho(k) * dt_micro |
|---|
| 1986 | ! |
|---|
| 1987 | !-- Sum up all rain water content which contributes to the flux |
|---|
| 1988 | !-- through k-1/2 |
|---|
| 1989 | flux = 0.0_wp |
|---|
| 1990 | z_run = 0.0_wp ! height above z(k) |
|---|
| 1991 | k_run = k |
|---|
| 1992 | c_run = MIN( 1.0_wp, c_qr(k) ) |
|---|
| 1993 | |
|---|
| 1994 | DO WHILE ( c_run > 0.0_wp .AND. k_run <= nzt ) |
|---|
| 1995 | |
|---|
| 1996 | flux = flux + hyrho(k_run) * & |
|---|
| 1997 | ( qr_1d(k_run) + qr_slope(k_run) * ( 1.0_wp - c_run ) * & |
|---|
| 1998 | 0.5_wp ) * c_run * dzu(k_run) |
|---|
| 1999 | z_run = z_run + dzu(k_run) |
|---|
| 2000 | k_run = k_run + 1 |
|---|
| 2001 | c_run = MIN( 1.0_wp, c_qr(k_run) - z_run * ddzu(k_run) ) |
|---|
| 2002 | |
|---|
| 2003 | ENDDO |
|---|
| 2004 | ! |
|---|
| 2005 | !-- It is not allowed to sediment more rain water content than available |
|---|
| 2006 | flux = MIN( flux, & |
|---|
| 2007 | hyrho(k) * dzu(k) * qr_1d(k) + sed_qr(k+1) * dt_micro ) |
|---|
| 2008 | |
|---|
| 2009 | sed_qr(k) = flux / dt_micro |
|---|
| 2010 | |
|---|
| 2011 | qr_1d(k) = qr_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
|---|
| 2012 | hyrho(k) * dt_micro |
|---|
| 2013 | q_1d(k) = q_1d(k) + ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
|---|
| 2014 | hyrho(k) * dt_micro |
|---|
| 2015 | pt_1d(k) = pt_1d(k) - ( sed_qr(k+1) - sed_qr(k) ) * ddzu(k+1) / & |
|---|
| 2016 | hyrho(k) * l_d_cp * pt_d_t(k) * dt_micro |
|---|
| 2017 | ! |
|---|
| 2018 | !-- Compute the rain rate |
|---|
| 2019 | IF ( call_microphysics_at_all_substeps ) THEN |
|---|
| 2020 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) & |
|---|
| 2021 | * weight_substep(intermediate_timestep_count) |
|---|
| 2022 | ELSE |
|---|
| 2023 | prr(k,j,i) = prr(k,j,i) + sed_qr(k) / hyrho(k) |
|---|
| 2024 | ENDIF |
|---|
| 2025 | |
|---|
| 2026 | ENDDO |
|---|
| 2027 | |
|---|
| 2028 | END SUBROUTINE sedimentation_rain_ij |
|---|
| 2029 | |
|---|
| 2030 | |
|---|
| 2031 | !------------------------------------------------------------------------------! |
|---|
| 2032 | ! Description: |
|---|
| 2033 | ! ------------ |
|---|
| 2034 | !> This subroutine computes the precipitation amount due to gravitational |
|---|
| 2035 | !> settling of rain and cloud (fog) droplets |
|---|
| 2036 | !------------------------------------------------------------------------------! |
|---|
| 2037 | SUBROUTINE calc_precipitation_amount_ij( i, j ) |
|---|
| 2038 | |
|---|
| 2039 | USE cloud_parameters, & |
|---|
| 2040 | ONLY: hyrho, precipitation_amount, prr |
|---|
| 2041 | |
|---|
| 2042 | USE control_parameters, & |
|---|
| 2043 | ONLY: call_microphysics_at_all_substeps, dt_do2d_xy, dt_3d, & |
|---|
| 2044 | intermediate_timestep_count, intermediate_timestep_count_max,& |
|---|
| 2045 | precipitation_amount_interval, time_do2d_xy |
|---|
| 2046 | |
|---|
| 2047 | USE indices, & |
|---|
| 2048 | ONLY: nzb_s_inner |
|---|
| 2049 | |
|---|
| 2050 | USE kinds |
|---|
| 2051 | |
|---|
| 2052 | IMPLICIT NONE |
|---|
| 2053 | |
|---|
| 2054 | INTEGER(iwp) :: i !: |
|---|
| 2055 | INTEGER(iwp) :: j !: |
|---|
| 2056 | |
|---|
| 2057 | |
|---|
| 2058 | IF ( ( dt_do2d_xy - time_do2d_xy ) < precipitation_amount_interval .AND.& |
|---|
| 2059 | ( .NOT. call_microphysics_at_all_substeps .OR. & |
|---|
| 2060 | intermediate_timestep_count == intermediate_timestep_count_max ) ) & |
|---|
| 2061 | THEN |
|---|
| 2062 | |
|---|
| 2063 | precipitation_amount(j,i) = precipitation_amount(j,i) + & |
|---|
| 2064 | prr(nzb_s_inner(j,i)+1,j,i) * & |
|---|
| 2065 | hyrho(nzb_s_inner(j,i)+1) * dt_3d |
|---|
| 2066 | ENDIF |
|---|
| 2067 | |
|---|
| 2068 | END SUBROUTINE calc_precipitation_amount_ij |
|---|
| 2069 | |
|---|
| 2070 | !------------------------------------------------------------------------------! |
|---|
| 2071 | ! Description: |
|---|
| 2072 | ! ------------ |
|---|
| 2073 | !> This function computes the gamma function (Press et al., 1992). |
|---|
| 2074 | !> The gamma function is needed for the calculation of the evaporation |
|---|
| 2075 | !> of rain drops. |
|---|
| 2076 | !------------------------------------------------------------------------------! |
|---|
| 2077 | FUNCTION gamm( xx ) |
|---|
| 2078 | |
|---|
| 2079 | USE cloud_parameters, & |
|---|
| 2080 | ONLY: cof, stp |
|---|
| 2081 | |
|---|
| 2082 | USE kinds |
|---|
| 2083 | |
|---|
| 2084 | IMPLICIT NONE |
|---|
| 2085 | |
|---|
| 2086 | INTEGER(iwp) :: j !< |
|---|
| 2087 | |
|---|
| 2088 | REAL(wp) :: gamm !< |
|---|
| 2089 | REAL(wp) :: ser !< |
|---|
| 2090 | REAL(wp) :: tmp !< |
|---|
| 2091 | REAL(wp) :: x_gamm !< |
|---|
| 2092 | REAL(wp) :: xx !< |
|---|
| 2093 | REAL(wp) :: y_gamm !< |
|---|
| 2094 | |
|---|
| 2095 | x_gamm = xx |
|---|
| 2096 | y_gamm = x_gamm |
|---|
| 2097 | tmp = x_gamm + 5.5_wp |
|---|
| 2098 | tmp = ( x_gamm + 0.5_wp ) * LOG( tmp ) - tmp |
|---|
| 2099 | ser = 1.000000000190015_wp |
|---|
| 2100 | |
|---|
| 2101 | DO j = 1, 6 |
|---|
| 2102 | y_gamm = y_gamm + 1.0_wp |
|---|
| 2103 | ser = ser + cof( j ) / y_gamm |
|---|
| 2104 | ENDDO |
|---|
| 2105 | |
|---|
| 2106 | ! |
|---|
| 2107 | !-- Until this point the algorithm computes the logarithm of the gamma |
|---|
| 2108 | !-- function. Hence, the exponential function is used. |
|---|
| 2109 | ! gamm = EXP( tmp + LOG( stp * ser / x_gamm ) ) |
|---|
| 2110 | gamm = EXP( tmp ) * stp * ser / x_gamm |
|---|
| 2111 | |
|---|
| 2112 | RETURN |
|---|
| 2113 | |
|---|
| 2114 | END FUNCTION gamm |
|---|
| 2115 | |
|---|
| 2116 | END MODULE microphysics_mod |
|---|
