[1850] | 1 | !> @file surface_layer_fluxes_mod.f90 |
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[2000] | 2 | !------------------------------------------------------------------------------! |
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[1691] | 3 | ! This file is part of PALM. |
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| 4 | ! |
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[2000] | 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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[1691] | 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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[2101] | 17 | ! Copyright 1997-2017 Leibniz Universitaet Hannover |
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[1691] | 18 | ! |
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[2000] | 19 | !------------------------------------------------------------------------------! |
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[1691] | 20 | ! Current revisions: |
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[1747] | 21 | ! ------------------ |
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[2232] | 22 | ! Adjustments to new surface concept |
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| 23 | ! OpenMP bugfix |
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[1758] | 24 | ! |
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[1692] | 25 | ! Former revisions: |
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| 26 | ! ----------------- |
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| 27 | ! $Id: surface_layer_fluxes_mod.f90 2232 2017-05-30 17:47:52Z suehring $ |
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| 28 | ! |
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[2119] | 29 | ! 2118 2017-01-17 16:38:49Z raasch |
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| 30 | ! OpenACC directives and related code removed |
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| 31 | ! |
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[2092] | 32 | ! 2091 2016-12-21 16:38:18Z suehring |
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| 33 | ! Bugfix in calculation of vsws ( incorrect linear interpolation of us ) |
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| 34 | ! |
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[2077] | 35 | ! 2076 2016-12-02 13:54:20Z raasch |
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| 36 | ! further openmp bugfix for lookup method |
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| 37 | ! |
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[2074] | 38 | ! 2073 2016-11-30 14:34:05Z raasch |
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| 39 | ! openmp bugfix for lookup method |
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| 40 | ! |
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[2038] | 41 | ! 2037 2016-10-26 11:15:40Z knoop |
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| 42 | ! Anelastic approximation implemented |
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| 43 | ! |
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[2012] | 44 | ! 2011 2016-09-19 17:29:57Z kanani |
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| 45 | ! Flag urban_surface is now defined in module control_parameters. |
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| 46 | ! |
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[2008] | 47 | ! 2007 2016-08-24 15:47:17Z kanani |
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| 48 | ! Account for urban surface model in computation of vertical kinematic heatflux |
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| 49 | ! |
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[2001] | 50 | ! 2000 2016-08-20 18:09:15Z knoop |
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| 51 | ! Forced header and separation lines into 80 columns |
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| 52 | ! |
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[1993] | 53 | ! 1992 2016-08-12 15:14:59Z suehring |
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| 54 | ! Minor bug, declaration of look-up index as INTEGER |
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| 55 | ! |
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[1961] | 56 | ! 1960 2016-07-12 16:34:24Z suehring |
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| 57 | ! Treat humidity and passive scalar separately |
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| 58 | ! |
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[1930] | 59 | ! 1929 2016-06-09 16:25:25Z suehring |
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| 60 | ! Bugfix: avoid segmentation fault in case one grid point is horizontally |
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| 61 | ! completely surrounded by topography |
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| 62 | ! |
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[1921] | 63 | ! 1920 2016-05-30 10:50:15Z suehring |
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| 64 | ! Avoid segmentation fault (see change in 1915) by different initialization of |
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| 65 | ! us instead of adding a very small number in the denominator |
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| 66 | ! |
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[1916] | 67 | ! 1915 2016-05-27 11:05:02Z suehring |
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| 68 | ! Bugfix: avoid segmentation fault in case of most_method = 'circular' at first |
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| 69 | ! timestep |
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| 70 | ! |
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[1851] | 71 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 72 | ! Module renamed |
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| 73 | ! |
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| 74 | ! |
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[1823] | 75 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 76 | ! icloud_scheme replaced by microphysics_* |
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| 77 | ! |
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[1789] | 78 | ! 1788 2016-03-10 11:01:04Z maronga |
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| 79 | ! Added parameter z0q which replaces z0h in the similarity functions for |
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| 80 | ! humidity. |
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| 81 | ! Syntax layout improved. |
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| 82 | ! |
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[1758] | 83 | ! 1757 2016-02-22 15:49:32Z maronga |
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| 84 | ! Minor fixes. |
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| 85 | ! |
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[1750] | 86 | ! 1749 2016-02-09 12:19:56Z raasch |
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| 87 | ! further OpenACC adjustments |
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| 88 | ! |
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[1748] | 89 | ! 1747 2016-02-08 12:25:53Z raasch |
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| 90 | ! adjustments for OpenACC usage |
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| 91 | ! |
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[1710] | 92 | ! 1709 2015-11-04 14:47:01Z maronga |
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| 93 | ! Bugfix: division by zero could occur when calculating rib at low wind speeds |
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| 94 | ! Bugfix: calculation of uv_total for neutral = .T., initial value for ol for |
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| 95 | ! neutral = .T. |
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| 96 | ! |
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[1706] | 97 | ! 1705 2015-11-02 14:28:56Z maronga |
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| 98 | ! Typo removed |
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| 99 | ! |
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[1698] | 100 | ! 1697 2015-10-28 17:14:10Z raasch |
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| 101 | ! FORTRAN and OpenMP errors removed |
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| 102 | ! |
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[1697] | 103 | ! 1696 2015-10-27 10:03:34Z maronga |
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[1691] | 104 | ! Modularized and completely re-written version of prandtl_fluxes.f90. In the |
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| 105 | ! course of the re-writing two additional methods have been implemented. See |
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| 106 | ! updated description. |
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| 107 | ! |
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| 108 | ! 1551 2015-03-03 14:18:16Z maronga |
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| 109 | ! Removed land surface model part. The surface fluxes are now always calculated |
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| 110 | ! within prandtl_fluxes, based on the given surface temperature/humidity (which |
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| 111 | ! is either provided by the land surface model, by large scale forcing data, or |
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| 112 | ! directly prescribed by the user. |
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| 113 | ! |
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| 114 | ! 1496 2014-12-02 17:25:50Z maronga |
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| 115 | ! Adapted for land surface model |
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| 116 | ! |
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| 117 | ! 1494 2014-11-21 17:14:03Z maronga |
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| 118 | ! Bugfixes: qs is now calculated before calculation of Rif. calculation of |
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| 119 | ! buoyancy flux in Rif corrected (added missing humidity term), allow use of |
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| 120 | ! topography for coupled runs (not tested) |
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| 121 | ! |
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| 122 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 123 | ! Bugfix: calculation of turbulent fluxes of rain water content (qrsws) and rain |
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| 124 | ! drop concentration (nrsws) added |
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| 125 | ! |
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| 126 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 127 | ! REAL constants defined as wp-kind |
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| 128 | ! |
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| 129 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 130 | ! ONLY-attribute added to USE-statements, |
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| 131 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 132 | ! kinds are defined in new module kinds, |
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| 133 | ! old module precision_kind is removed, |
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| 134 | ! revision history before 2012 removed, |
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| 135 | ! comment fields (!:) to be used for variable explanations added to |
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| 136 | ! all variable declaration statements |
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| 137 | ! |
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| 138 | ! 1276 2014-01-15 13:40:41Z heinze |
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| 139 | ! Use LSF_DATA also in case of Dirichlet bottom boundary condition for scalars |
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| 140 | ! |
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| 141 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 142 | ! openACC "kernels do" replaced by "kernels loop", "loop independent" added |
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| 143 | ! |
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| 144 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 145 | ! code put under GPL (PALM 3.9) |
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| 146 | ! |
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| 147 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 148 | ! OpenACC statements added |
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| 149 | ! |
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| 150 | ! 978 2012-08-09 08:28:32Z fricke |
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| 151 | ! roughness length for scalar quantities z0h added |
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| 152 | ! |
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| 153 | ! Revision 1.1 1998/01/23 10:06:06 raasch |
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| 154 | ! Initial revision |
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| 155 | ! |
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| 156 | ! |
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| 157 | ! Description: |
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| 158 | ! ------------ |
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| 159 | !> Diagnostic computation of vertical fluxes in the constant flux layer from the |
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| 160 | !> values of the variables at grid point k=1. Three different methods are |
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| 161 | !> available: |
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| 162 | !> 1) the "old" version (most_method = 'circular') which is fast, but inaccurate |
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| 163 | !> 2) a Newton iteration method (most_method = 'newton'), which is accurate, but |
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| 164 | !> slower |
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| 165 | !> 3) a method using a lookup table which is fast and accurate. Note, however, |
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| 166 | !> that this method cannot be used in case of roughness heterogeneity |
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| 167 | !> |
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| 168 | !> @todo (re)move large_scale_forcing actions |
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[2118] | 169 | !> @todo check/optimize OpenMP directives |
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[1691] | 170 | !------------------------------------------------------------------------------! |
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| 171 | MODULE surface_layer_fluxes_mod |
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| 172 | |
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| 173 | USE arrays_3d, & |
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[2232] | 174 | ONLY: e, kh, nr, pt, q, ql, qr, s, u, v, vpt, w, zu, zw, drho_air_zw, & |
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| 175 | rho_air_zw |
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[1691] | 176 | |
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| 177 | USE cloud_parameters, & |
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| 178 | ONLY: l_d_cp, pt_d_t |
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| 179 | |
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| 180 | USE constants, & |
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| 181 | ONLY: pi |
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| 182 | |
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| 183 | USE cpulog |
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| 184 | |
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| 185 | USE control_parameters, & |
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[1960] | 186 | ONLY: cloud_physics, constant_heatflux, constant_scalarflux, & |
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| 187 | constant_waterflux, coupling_mode, g, humidity, ibc_e_b, & |
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| 188 | ibc_pt_b, initializing_actions, kappa, & |
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[2232] | 189 | intermediate_timestep_count, intermediate_timestep_count_max, & |
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| 190 | land_surface, large_scale_forcing, lsf_surf, & |
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[1822] | 191 | message_string, microphysics_seifert, most_method, neutral, & |
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| 192 | passive_scalar, pt_surface, q_surface, run_coupled, & |
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[2011] | 193 | surface_pressure, simulated_time, terminate_run, & |
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[2232] | 194 | urban_surface, zeta_max, zeta_min |
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[1691] | 195 | |
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[2232] | 196 | USE grid_variables, & |
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| 197 | ONLY: dx, dy |
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| 198 | |
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[1691] | 199 | USE indices, & |
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[2232] | 200 | ONLY: nxl, nxr, nys, nyn, nzb |
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[1691] | 201 | |
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| 202 | USE kinds |
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| 203 | |
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| 204 | USE pegrid |
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| 205 | |
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| 206 | USE land_surface_model_mod, & |
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[2232] | 207 | ONLY: aero_resist_kray, skip_time_do_lsm |
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[2011] | 208 | |
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[2232] | 209 | USE surface_mod, & |
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| 210 | ONLY : surf_def_h, surf_def_v, surf_lsm_h, surf_lsm_v, surf_type, & |
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| 211 | surf_usm_h, surf_usm_v |
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[2007] | 212 | |
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[1691] | 213 | |
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| 214 | IMPLICIT NONE |
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| 215 | |
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[1992] | 216 | INTEGER(iwp) :: i !< loop index x direction |
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| 217 | INTEGER(iwp) :: j !< loop index y direction |
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| 218 | INTEGER(iwp) :: k !< loop index z direction |
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[2232] | 219 | INTEGER(iwp) :: l !< loop index for surf type |
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| 220 | INTEGER(iwp) :: li_bnd = 7500 !< Lookup table index of the last time step |
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[1691] | 221 | |
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[2232] | 222 | INTEGER(iwp), PARAMETER :: num_steps = 15000 !< number of steps in the lookup table |
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[1691] | 223 | |
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[2232] | 224 | LOGICAL :: coupled_run !< Flag for coupled atmosphere-ocean runs |
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| 225 | LOGICAL :: downward = .FALSE.!< Flag indicating downward-facing horizontal surface |
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| 226 | LOGICAL :: mom_uv = .FALSE. !< Flag indicating calculation of usvs and vsus at vertical surfaces |
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| 227 | LOGICAL :: mom_w = .FALSE. !< Flag indicating calculation of wsus and wsvs at vertical surfaces |
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| 228 | LOGICAL :: mom_tke = .FALSE. !< Flag indicating calculation of momentum fluxes at vertical surfaces used for TKE production |
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| 229 | LOGICAL :: surf_vertical !< Flag indicating vertical surfaces |
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[1691] | 230 | |
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| 231 | REAL(wp), DIMENSION(0:num_steps-1) :: rib_tab, & !< Lookup table bulk Richardson number |
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| 232 | ol_tab !< Lookup table values of L |
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| 233 | |
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| 234 | REAL(wp) :: e_s, & !< Saturation water vapor pressure |
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| 235 | ol_max = 1.0E6_wp, & !< Maximum Obukhov length |
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| 236 | rib_max, & !< Maximum Richardson number in lookup table |
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| 237 | rib_min, & !< Minimum Richardson number in lookup table |
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| 238 | z_mo !< Height of the constant flux layer where MOST is assumed |
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| 239 | |
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[2232] | 240 | TYPE(surf_type), POINTER :: surf !< surf-type array, used to generalize subroutines |
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[1691] | 241 | |
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[2232] | 242 | |
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[1691] | 243 | SAVE |
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| 244 | |
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| 245 | PRIVATE |
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| 246 | |
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[2232] | 247 | PUBLIC init_surface_layer_fluxes, surface_layer_fluxes |
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[1691] | 248 | |
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| 249 | INTERFACE init_surface_layer_fluxes |
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| 250 | MODULE PROCEDURE init_surface_layer_fluxes |
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| 251 | END INTERFACE init_surface_layer_fluxes |
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| 252 | |
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| 253 | INTERFACE surface_layer_fluxes |
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| 254 | MODULE PROCEDURE surface_layer_fluxes |
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| 255 | END INTERFACE surface_layer_fluxes |
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| 256 | |
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| 257 | |
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| 258 | CONTAINS |
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| 259 | |
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| 260 | |
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| 261 | !------------------------------------------------------------------------------! |
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| 262 | ! Description: |
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| 263 | ! ------------ |
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| 264 | !> Main routine to compute the surface fluxes |
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| 265 | !------------------------------------------------------------------------------! |
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| 266 | SUBROUTINE surface_layer_fluxes |
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| 267 | |
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| 268 | IMPLICIT NONE |
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| 269 | |
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[2232] | 270 | surf_vertical = .FALSE. |
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| 271 | downward = .FALSE. |
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[1691] | 272 | ! |
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| 273 | !-- In case cloud physics is used, it is required to derive potential |
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| 274 | !-- temperature and specific humidity at first grid level from the fields pt |
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| 275 | !-- and q |
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| 276 | IF ( cloud_physics ) THEN |
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[2232] | 277 | ! |
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| 278 | !-- First call for horizontal default-type surfaces (l=0 - upward facing, |
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| 279 | !-- l=1 - downward facing) |
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| 280 | DO l = 0, 1 |
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| 281 | IF ( surf_def_h(l)%ns >= 1 ) THEN |
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| 282 | surf => surf_def_h(l) |
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| 283 | CALL calc_pt_q |
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| 284 | ENDIF |
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| 285 | ENDDO |
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| 286 | ! |
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| 287 | !-- Call for natural-type surfaces |
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| 288 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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| 289 | surf => surf_lsm_h |
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| 290 | CALL calc_pt_q |
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| 291 | ENDIF |
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| 292 | ! |
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| 293 | !-- Call for urban-type surfaces |
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| 294 | IF ( surf_usm_h%ns >= 1 ) THEN |
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| 295 | surf => surf_usm_h |
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| 296 | CALL calc_pt_q |
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| 297 | ENDIF |
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[1691] | 298 | ENDIF |
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| 299 | |
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| 300 | ! |
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| 301 | !-- First, calculate the new Obukhov length, then new friction velocity, |
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| 302 | !-- followed by the new scaling parameters (th*, q*, etc.), and the new |
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| 303 | !-- surface fluxes if required. The old routine ("circular") requires a |
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| 304 | !-- different order of calls as the scaling parameters from the previous time |
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| 305 | !-- steps are used to calculate the Obukhov length |
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| 306 | |
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| 307 | ! |
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| 308 | !-- Depending on setting of most_method use the "old" routine |
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[2232] | 309 | !-- Note, each routine is called for different surface types. |
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| 310 | !-- First call for default-type horizontal surfaces, for natural- and |
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| 311 | !-- urban-type surfaces. Note, at this place only upward-facing horizontal |
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| 312 | !-- surfaces are treted. |
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[1691] | 313 | IF ( most_method == 'circular' ) THEN |
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[2232] | 314 | ! |
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| 315 | !-- Default-type upward-facing horizontal surfaces |
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| 316 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
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| 317 | surf => surf_def_h(0) |
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| 318 | CALL calc_scaling_parameters |
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| 319 | CALL calc_uvw_abs |
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| 320 | IF ( .NOT. neutral ) CALL calc_ol |
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| 321 | CALL calc_us |
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| 322 | CALL calc_surface_fluxes |
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[1691] | 323 | ENDIF |
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| 324 | ! |
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[2232] | 325 | !-- Natural-type horizontal surfaces |
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| 326 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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| 327 | surf => surf_lsm_h |
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| 328 | CALL calc_scaling_parameters |
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| 329 | CALL calc_uvw_abs |
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| 330 | IF ( .NOT. neutral ) CALL calc_ol |
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| 331 | CALL calc_us |
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| 332 | CALL calc_surface_fluxes |
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| 333 | ENDIF |
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| 334 | ! |
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| 335 | !-- Urban-type horizontal surfaces |
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| 336 | IF ( surf_usm_h%ns >= 1 ) THEN |
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| 337 | surf => surf_usm_h |
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| 338 | CALL calc_scaling_parameters |
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| 339 | CALL calc_uvw_abs |
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| 340 | IF ( .NOT. neutral ) CALL calc_ol |
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| 341 | CALL calc_us |
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| 342 | CALL calc_surface_fluxes |
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| 343 | ENDIF |
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| 344 | ! |
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[1691] | 345 | !-- Use either Newton iteration or a lookup table for the bulk Richardson |
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| 346 | !-- number to calculate the Obukhov length |
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[1788] | 347 | ELSEIF ( most_method == 'newton' .OR. most_method == 'lookup' ) THEN |
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[2232] | 348 | ! |
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| 349 | !-- Default-type upward-facing horizontal surfaces |
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| 350 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
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| 351 | surf => surf_def_h(0) |
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| 352 | CALL calc_uvw_abs |
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| 353 | IF ( .NOT. neutral ) CALL calc_ol |
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| 354 | CALL calc_us |
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| 355 | CALL calc_scaling_parameters |
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| 356 | CALL calc_surface_fluxes |
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[1691] | 357 | ENDIF |
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[2232] | 358 | ! |
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| 359 | !-- Natural-type horizontal surfaces |
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| 360 | IF ( surf_lsm_h%ns >= 1 ) THEN |
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| 361 | surf => surf_lsm_h |
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| 362 | CALL calc_uvw_abs |
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| 363 | IF ( .NOT. neutral ) CALL calc_ol |
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| 364 | CALL calc_us |
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| 365 | CALL calc_scaling_parameters |
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| 366 | CALL calc_surface_fluxes |
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| 367 | ENDIF |
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| 368 | ! |
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| 369 | !-- Urban-type horizontal surfaces |
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| 370 | IF ( surf_usm_h%ns >= 1 ) THEN |
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| 371 | surf => surf_usm_h |
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| 372 | CALL calc_uvw_abs |
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| 373 | IF ( .NOT. neutral ) CALL calc_ol |
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| 374 | CALL calc_us |
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| 375 | CALL calc_scaling_parameters |
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| 376 | CALL calc_surface_fluxes |
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| 377 | ENDIF |
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[1691] | 378 | |
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[2232] | 379 | ENDIF |
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| 380 | ! |
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| 381 | !-- Treat downward-facing horizontal surfaces. Note, so far, these are |
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| 382 | !-- always default type. Stratification is not considered |
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| 383 | !-- in this case, hence, no further distinction between different |
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| 384 | !-- most_method is required. |
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| 385 | IF ( surf_def_h(1)%ns >= 1 ) THEN |
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| 386 | downward = .TRUE. |
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| 387 | surf => surf_def_h(1) |
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| 388 | CALL calc_uvw_abs |
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[1691] | 389 | CALL calc_us |
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| 390 | CALL calc_surface_fluxes |
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[2232] | 391 | downward = .FALSE. |
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[1691] | 392 | ENDIF |
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[2232] | 393 | ! |
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| 394 | !-- Calculate surfaces fluxes at vertical surfaces for momentum |
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| 395 | !-- and subgrid-scale TKE. |
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| 396 | !-- No stability is considered. Therefore, scaling parameters and Obukhov- |
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| 397 | !-- length do not need to be calculated and no distinction in 'circular', |
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| 398 | !-- 'Newton' or 'lookup' is necessary so far. |
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| 399 | !-- Note, this will change if stability is once considered. |
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| 400 | surf_vertical = .TRUE. |
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| 401 | ! |
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| 402 | !-- Calculate horizontal momentum fluxes at north- and south-facing |
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| 403 | !-- surfaces(usvs). |
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| 404 | !-- For default-type surfaces |
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| 405 | mom_uv = .TRUE. |
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| 406 | DO l = 0, 1 |
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| 407 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
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| 408 | surf => surf_def_v(l) |
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| 409 | ! |
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| 410 | !-- Compute surface-parallel velocity |
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| 411 | CALL calc_uvw_abs_v_ugrid |
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| 412 | ! |
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| 413 | !-- Compute respective friction velocity on staggered grid |
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| 414 | CALL calc_us |
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| 415 | ! |
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| 416 | !-- Compute respective surface fluxes for momentum and TKE |
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| 417 | CALL calc_surface_fluxes |
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| 418 | ENDIF |
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| 419 | ENDDO |
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| 420 | ! |
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| 421 | !-- For natural-type surfaces. Please note, even though stability is not |
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| 422 | !-- considered for the calculation of momentum fluxes at vertical surfaces, |
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| 423 | !-- scaling parameters and Obukov length are calculated nevertheless in this |
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| 424 | !-- case. This is due to the requirement of ts in parameterization of heat |
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| 425 | !-- flux in land-surface model in case of aero_resist_kray is not true. |
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| 426 | IF ( .NOT. aero_resist_kray ) THEN |
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| 427 | IF ( most_method == 'circular' ) THEN |
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| 428 | DO l = 0, 1 |
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| 429 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
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| 430 | surf => surf_lsm_v(l) |
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| 431 | ! |
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| 432 | !-- Compute scaling parameters |
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| 433 | CALL calc_scaling_parameters |
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| 434 | ! |
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| 435 | !-- Compute surface-parallel velocity |
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| 436 | CALL calc_uvw_abs_v_ugrid |
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| 437 | ! |
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| 438 | !-- Compute Obukhov length |
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| 439 | IF ( .NOT. neutral ) CALL calc_ol |
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| 440 | ! |
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| 441 | !-- Compute respective friction velocity on staggered grid |
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| 442 | CALL calc_us |
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| 443 | ! |
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| 444 | !-- Compute respective surface fluxes for momentum and TKE |
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| 445 | CALL calc_surface_fluxes |
---|
| 446 | ENDIF |
---|
| 447 | ENDDO |
---|
| 448 | ELSE |
---|
| 449 | DO l = 0, 1 |
---|
| 450 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 451 | surf => surf_lsm_v(l) |
---|
| 452 | ! |
---|
| 453 | !-- Compute surface-parallel velocity |
---|
| 454 | CALL calc_uvw_abs_v_ugrid |
---|
| 455 | ! |
---|
| 456 | !-- Compute Obukhov length |
---|
| 457 | IF ( .NOT. neutral ) CALL calc_ol |
---|
| 458 | ! |
---|
| 459 | !-- Compute respective friction velocity on staggered grid |
---|
| 460 | CALL calc_us |
---|
| 461 | ! |
---|
| 462 | !-- Compute scaling parameters |
---|
| 463 | CALL calc_scaling_parameters |
---|
| 464 | ! |
---|
| 465 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 466 | CALL calc_surface_fluxes |
---|
| 467 | ENDIF |
---|
| 468 | ENDDO |
---|
| 469 | ENDIF |
---|
| 470 | ! |
---|
| 471 | !-- No ts is required, so scaling parameters and Obukhov length do not need |
---|
| 472 | !-- to be computed. |
---|
| 473 | ELSE |
---|
| 474 | DO l = 0, 1 |
---|
| 475 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 476 | surf => surf_lsm_v(l) |
---|
| 477 | ! |
---|
| 478 | !-- Compute surface-parallel velocity |
---|
| 479 | CALL calc_uvw_abs_v_ugrid |
---|
| 480 | ! |
---|
| 481 | !-- Compute respective friction velocity on staggered grid |
---|
| 482 | CALL calc_us |
---|
| 483 | ! |
---|
| 484 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 485 | CALL calc_surface_fluxes |
---|
| 486 | ENDIF |
---|
| 487 | ENDDO |
---|
| 488 | ENDIF |
---|
| 489 | ! |
---|
| 490 | !-- For urban-type surfaces |
---|
| 491 | DO l = 0, 1 |
---|
| 492 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
| 493 | surf => surf_usm_v(l) |
---|
| 494 | ! |
---|
| 495 | !-- Compute surface-parallel velocity |
---|
| 496 | CALL calc_uvw_abs_v_ugrid |
---|
| 497 | ! |
---|
| 498 | !-- Compute respective friction velocity on staggered grid |
---|
| 499 | CALL calc_us |
---|
| 500 | ! |
---|
| 501 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 502 | CALL calc_surface_fluxes |
---|
| 503 | ENDIF |
---|
| 504 | ENDDO |
---|
| 505 | ! |
---|
| 506 | !-- Calculate horizontal momentum fluxes at east- and west-facing |
---|
| 507 | !-- surfaces (vsus). |
---|
| 508 | !-- For default-type surfaces |
---|
| 509 | DO l = 2, 3 |
---|
| 510 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
| 511 | surf => surf_def_v(l) |
---|
| 512 | ! |
---|
| 513 | !-- Compute surface-parallel velocity |
---|
| 514 | CALL calc_uvw_abs_v_vgrid |
---|
| 515 | ! |
---|
| 516 | !-- Compute respective friction velocity on staggered grid |
---|
| 517 | CALL calc_us |
---|
| 518 | ! |
---|
| 519 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 520 | CALL calc_surface_fluxes |
---|
| 521 | ENDIF |
---|
| 522 | ENDDO |
---|
| 523 | ! |
---|
| 524 | !-- For natural-type surfaces. Please note, even though stability is not |
---|
| 525 | !-- considered for the calculation of momentum fluxes at vertical surfaces, |
---|
| 526 | !-- scaling parameters and Obukov length are calculated nevertheless in this |
---|
| 527 | !-- case. This is due to the requirement of ts in parameterization of heat |
---|
| 528 | !-- flux in land-surface model in case of aero_resist_kray is not true. |
---|
| 529 | IF ( .NOT. aero_resist_kray ) THEN |
---|
| 530 | IF ( most_method == 'circular' ) THEN |
---|
| 531 | DO l = 2, 3 |
---|
| 532 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 533 | surf => surf_lsm_v(l) |
---|
| 534 | ! |
---|
| 535 | !-- Compute scaling parameters |
---|
| 536 | CALL calc_scaling_parameters |
---|
| 537 | ! |
---|
| 538 | !-- Compute surface-parallel velocity |
---|
| 539 | CALL calc_uvw_abs_v_vgrid |
---|
| 540 | ! |
---|
| 541 | !-- Compute Obukhov length |
---|
| 542 | IF ( .NOT. neutral ) CALL calc_ol |
---|
| 543 | ! |
---|
| 544 | !-- Compute respective friction velocity on staggered grid |
---|
| 545 | CALL calc_us |
---|
| 546 | ! |
---|
| 547 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 548 | CALL calc_surface_fluxes |
---|
| 549 | ENDIF |
---|
| 550 | ENDDO |
---|
| 551 | ELSE |
---|
| 552 | DO l = 2, 3 |
---|
| 553 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 554 | surf => surf_lsm_v(l) |
---|
| 555 | ! |
---|
| 556 | !-- Compute surface-parallel velocity |
---|
| 557 | CALL calc_uvw_abs_v_vgrid |
---|
| 558 | ! |
---|
| 559 | !-- Compute Obukhov length |
---|
| 560 | IF ( .NOT. neutral ) CALL calc_ol |
---|
| 561 | ! |
---|
| 562 | !-- Compute respective friction velocity on staggered grid |
---|
| 563 | CALL calc_us |
---|
| 564 | ! |
---|
| 565 | !-- Compute scaling parameters |
---|
| 566 | CALL calc_scaling_parameters |
---|
| 567 | ! |
---|
| 568 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 569 | CALL calc_surface_fluxes |
---|
| 570 | ENDIF |
---|
| 571 | ENDDO |
---|
| 572 | ENDIF |
---|
| 573 | ELSE |
---|
| 574 | DO l = 2, 3 |
---|
| 575 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 576 | surf => surf_lsm_v(l) |
---|
| 577 | ! |
---|
| 578 | !-- Compute surface-parallel velocity |
---|
| 579 | CALL calc_uvw_abs_v_vgrid |
---|
| 580 | ! |
---|
| 581 | !-- Compute respective friction velocity on staggered grid |
---|
| 582 | CALL calc_us |
---|
| 583 | ! |
---|
| 584 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 585 | CALL calc_surface_fluxes |
---|
| 586 | ENDIF |
---|
| 587 | ENDDO |
---|
| 588 | ENDIF |
---|
| 589 | ! |
---|
| 590 | !-- For urban-type surfaces |
---|
| 591 | DO l = 2, 3 |
---|
| 592 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
| 593 | surf => surf_usm_v(l) |
---|
| 594 | ! |
---|
| 595 | !-- Compute surface-parallel velocity |
---|
| 596 | CALL calc_uvw_abs_v_vgrid |
---|
| 597 | ! |
---|
| 598 | !-- Compute respective friction velocity on staggered grid |
---|
| 599 | CALL calc_us |
---|
| 600 | ! |
---|
| 601 | !-- Compute respective surface fluxes for momentum and TKE |
---|
| 602 | CALL calc_surface_fluxes |
---|
| 603 | ENDIF |
---|
| 604 | ENDDO |
---|
| 605 | mom_uv = .FALSE. |
---|
| 606 | ! |
---|
| 607 | !-- Calculate horizontal momentum fluxes of w (wsus and wsvs) at vertial |
---|
| 608 | !-- surfaces. |
---|
| 609 | mom_w = .TRUE. |
---|
| 610 | ! |
---|
| 611 | !-- Default-type surfaces |
---|
| 612 | DO l = 0, 3 |
---|
| 613 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
| 614 | surf => surf_def_v(l) |
---|
| 615 | CALL calc_uvw_abs_v_wgrid |
---|
| 616 | CALL calc_us |
---|
| 617 | CALL calc_surface_fluxes |
---|
| 618 | ENDIF |
---|
| 619 | ENDDO |
---|
| 620 | ! |
---|
| 621 | !-- Natural-type surfaces |
---|
| 622 | DO l = 0, 3 |
---|
| 623 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 624 | surf => surf_lsm_v(l) |
---|
| 625 | CALL calc_uvw_abs_v_wgrid |
---|
| 626 | CALL calc_us |
---|
| 627 | CALL calc_surface_fluxes |
---|
| 628 | ENDIF |
---|
| 629 | ENDDO |
---|
| 630 | ! |
---|
| 631 | !-- Urban-type surfaces |
---|
| 632 | DO l = 0, 3 |
---|
| 633 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
| 634 | surf => surf_usm_v(l) |
---|
| 635 | CALL calc_uvw_abs_v_wgrid |
---|
| 636 | CALL calc_us |
---|
| 637 | CALL calc_surface_fluxes |
---|
| 638 | ENDIF |
---|
| 639 | ENDDO |
---|
| 640 | mom_w = .FALSE. |
---|
| 641 | ! |
---|
| 642 | !-- Calculate momentum fluxes usvs, vsus, wsus and wsvs at vertical |
---|
| 643 | !-- surfaces for TKE production. Note, here, momentum fluxes are defined |
---|
| 644 | !-- at grid center and are not staggered as before. |
---|
| 645 | mom_tke = .TRUE. |
---|
| 646 | ! |
---|
| 647 | !-- Default-type surfaces |
---|
| 648 | DO l = 0, 3 |
---|
| 649 | IF ( surf_def_v(l)%ns >= 1 ) THEN |
---|
| 650 | surf => surf_def_v(l) |
---|
| 651 | CALL calc_uvw_abs_v_sgrid |
---|
| 652 | CALL calc_us |
---|
| 653 | CALL calc_surface_fluxes |
---|
| 654 | ENDIF |
---|
| 655 | ENDDO |
---|
| 656 | ! |
---|
| 657 | !-- Natural-type surfaces |
---|
| 658 | DO l = 0, 3 |
---|
| 659 | IF ( surf_lsm_v(l)%ns >= 1 ) THEN |
---|
| 660 | surf => surf_lsm_v(l) |
---|
| 661 | CALL calc_uvw_abs_v_sgrid |
---|
| 662 | CALL calc_us |
---|
| 663 | CALL calc_surface_fluxes |
---|
| 664 | ENDIF |
---|
| 665 | ENDDO |
---|
| 666 | ! |
---|
| 667 | !-- Urban-type surfaces |
---|
| 668 | DO l = 0, 3 |
---|
| 669 | IF ( surf_usm_v(l)%ns >= 1 ) THEN |
---|
| 670 | surf => surf_usm_v(l) |
---|
| 671 | CALL calc_uvw_abs_v_sgrid |
---|
| 672 | CALL calc_us |
---|
| 673 | CALL calc_surface_fluxes |
---|
| 674 | ENDIF |
---|
| 675 | ENDDO |
---|
| 676 | mom_tke = .FALSE. |
---|
| 677 | |
---|
[1691] | 678 | |
---|
| 679 | END SUBROUTINE surface_layer_fluxes |
---|
| 680 | |
---|
| 681 | |
---|
| 682 | !------------------------------------------------------------------------------! |
---|
| 683 | ! Description: |
---|
| 684 | ! ------------ |
---|
| 685 | !> Initializing actions for the surface layer routine. Basically, this involves |
---|
| 686 | !> the preparation of a lookup table for the the bulk Richardson number vs |
---|
| 687 | !> Obukhov length L when using the lookup table method. |
---|
| 688 | !------------------------------------------------------------------------------! |
---|
| 689 | SUBROUTINE init_surface_layer_fluxes |
---|
| 690 | |
---|
| 691 | IMPLICIT NONE |
---|
| 692 | |
---|
[2232] | 693 | INTEGER(iwp) :: li, & !< Index for loop to create lookup table |
---|
[1691] | 694 | num_steps_n !< Number of non-stretched zeta steps |
---|
| 695 | |
---|
| 696 | LOGICAL :: terminate_run_l = .FALSE. !< Flag to terminate run (global) |
---|
| 697 | |
---|
| 698 | REAL(wp), PARAMETER :: zeta_stretch = -10.0_wp !< Start of stretching in the free convection limit |
---|
| 699 | |
---|
| 700 | REAL(wp), DIMENSION(:), ALLOCATABLE :: zeta_tmp |
---|
| 701 | |
---|
| 702 | |
---|
| 703 | REAL(wp) :: zeta_step, & !< Increment of zeta |
---|
| 704 | regr = 1.01_wp, & !< Stretching factor of zeta_step in the free convection limit |
---|
| 705 | regr_old = 1.0E9_wp, & !< Stretching factor of last iteration step |
---|
| 706 | z0h_min = 0.0_wp, & !< Minimum value of z0h to create table |
---|
| 707 | z0_min = 0.0_wp !< Minimum value of z0 to create table |
---|
| 708 | |
---|
| 709 | |
---|
[1709] | 710 | |
---|
[2232] | 711 | |
---|
[1709] | 712 | ! |
---|
| 713 | !-- In case of runs with neutral statification, set Obukhov length to a |
---|
| 714 | !-- large value |
---|
[2232] | 715 | IF ( neutral ) THEN |
---|
| 716 | IF ( surf_def_h(0)%ns >= 1 ) surf_def_h(0)%ol = 1.0E10_wp |
---|
| 717 | IF ( surf_lsm_h%ns >= 1 ) surf_lsm_h%ol = 1.0E10_wp |
---|
| 718 | IF ( surf_usm_h%ns >= 1 ) surf_usm_h%ol = 1.0E10_wp |
---|
| 719 | ENDIF |
---|
[1709] | 720 | |
---|
[1691] | 721 | IF ( most_method == 'lookup' ) THEN |
---|
| 722 | |
---|
| 723 | ! |
---|
| 724 | !-- Check for roughness heterogeneity. In that case terminate run and |
---|
[2232] | 725 | !-- inform user. Check for both, natural and non-natural walls. |
---|
| 726 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
---|
| 727 | IF ( MINVAL( surf_def_h(0)%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
| 728 | MINVAL( surf_def_h(0)%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
| 729 | terminate_run_l = .TRUE. |
---|
| 730 | ENDIF |
---|
[1691] | 731 | ENDIF |
---|
[2232] | 732 | IF ( surf_lsm_h%ns >= 1 ) THEN |
---|
| 733 | IF ( MINVAL( surf_lsm_h%z0h ) /= MAXVAL( surf_lsm_h%z0h ) .OR. & |
---|
| 734 | MINVAL( surf_lsm_h%z0 ) /= MAXVAL( surf_lsm_h%z0 ) ) THEN |
---|
| 735 | terminate_run_l = .TRUE. |
---|
| 736 | ENDIF |
---|
| 737 | ENDIF |
---|
| 738 | IF ( surf_usm_h%ns >= 1 ) THEN |
---|
| 739 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_usm_h%z0h ) .OR. & |
---|
| 740 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_usm_h%z0 ) ) THEN |
---|
| 741 | terminate_run_l = .TRUE. |
---|
| 742 | ENDIF |
---|
| 743 | ENDIF |
---|
| 744 | ! |
---|
| 745 | !-- Check roughness homogeneity between differt surface types. |
---|
| 746 | IF ( surf_lsm_h%ns >= 1 .AND. surf_def_h(0)%ns >= 1 ) THEN |
---|
| 747 | IF ( MINVAL( surf_lsm_h%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
| 748 | MINVAL( surf_lsm_h%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
| 749 | terminate_run_l = .TRUE. |
---|
| 750 | ENDIF |
---|
| 751 | ENDIF |
---|
| 752 | IF ( surf_usm_h%ns >= 1 .AND. surf_def_h(0)%ns >= 1 ) THEN |
---|
| 753 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_def_h(0)%z0h ) .OR. & |
---|
| 754 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_def_h(0)%z0 ) ) THEN |
---|
| 755 | terminate_run_l = .TRUE. |
---|
| 756 | ENDIF |
---|
| 757 | ENDIF |
---|
| 758 | IF ( surf_usm_h%ns >= 1 .AND. surf_lsm_h%ns >= 1 ) THEN |
---|
| 759 | IF ( MINVAL( surf_usm_h%z0h ) /= MAXVAL( surf_lsm_h%z0h ) .OR. & |
---|
| 760 | MINVAL( surf_usm_h%z0 ) /= MAXVAL( surf_lsm_h%z0 ) ) THEN |
---|
| 761 | terminate_run_l = .TRUE. |
---|
| 762 | ENDIF |
---|
| 763 | ENDIF |
---|
[1691] | 764 | |
---|
[2232] | 765 | |
---|
[1691] | 766 | #if defined( __parallel ) |
---|
| 767 | ! |
---|
| 768 | !-- Make a logical OR for all processes. Force termiation of model if result |
---|
| 769 | !-- is TRUE |
---|
| 770 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
---|
| 771 | CALL MPI_ALLREDUCE( terminate_run_l, terminate_run, 1, MPI_LOGICAL, & |
---|
| 772 | MPI_LOR, comm2d, ierr ) |
---|
| 773 | #else |
---|
| 774 | terminate_run = terminate_run_l |
---|
| 775 | #endif |
---|
| 776 | |
---|
| 777 | IF ( terminate_run ) THEN |
---|
| 778 | message_string = 'most_method = "lookup" cannot be used in ' // & |
---|
| 779 | 'combination with a prescribed roughness ' // & |
---|
| 780 | 'heterogeneity' |
---|
| 781 | CALL message( 'surface_layer_fluxes', 'PA0417', 1, 2, 0, 6, 0 ) |
---|
| 782 | ENDIF |
---|
| 783 | |
---|
| 784 | ALLOCATE( zeta_tmp(0:num_steps-1) ) |
---|
| 785 | |
---|
| 786 | ! |
---|
| 787 | !-- Use the lowest possible value for z_mo |
---|
[2232] | 788 | k = nzb |
---|
[1691] | 789 | z_mo = zu(k+1) - zw(k) |
---|
| 790 | |
---|
| 791 | ! |
---|
| 792 | !-- Calculate z/L range from zeta_stretch to zeta_max using 90% of the |
---|
| 793 | !-- available steps (num_steps). The calculation is done with negative |
---|
| 794 | !-- values of zeta in order to simplify the stretching in the free |
---|
| 795 | !-- convection limit for the remaining 10% of steps. |
---|
| 796 | zeta_tmp(0) = - zeta_max |
---|
| 797 | num_steps_n = ( num_steps * 9 / 10 ) - 1 |
---|
| 798 | zeta_step = (zeta_max - zeta_stretch) / REAL(num_steps_n) |
---|
| 799 | |
---|
[2232] | 800 | DO li = 1, num_steps_n |
---|
| 801 | zeta_tmp(li) = zeta_tmp(li-1) + zeta_step |
---|
[1691] | 802 | ENDDO |
---|
| 803 | |
---|
| 804 | ! |
---|
| 805 | !-- Calculate stretching factor for the free convection range |
---|
[1788] | 806 | DO WHILE ( ABS( (regr-regr_old) / regr_old ) > 1.0E-10_wp ) |
---|
[1691] | 807 | regr_old = regr |
---|
| 808 | regr = ( 1.0_wp - ( -zeta_min / zeta_step ) * ( 1.0_wp - regr ) & |
---|
| 809 | )**( 10.0_wp / REAL(num_steps) ) |
---|
| 810 | ENDDO |
---|
| 811 | |
---|
| 812 | ! |
---|
| 813 | !-- Calculate z/L range from zeta_min to zeta_stretch |
---|
[2232] | 814 | DO li = num_steps_n+1, num_steps-1 |
---|
| 815 | zeta_tmp(li) = zeta_tmp(li-1) + zeta_step |
---|
[1691] | 816 | zeta_step = zeta_step * regr |
---|
| 817 | ENDDO |
---|
| 818 | |
---|
| 819 | ! |
---|
[1757] | 820 | !-- Save roughness lengths to temporary variables |
---|
[2232] | 821 | IF ( surf_def_h(0)%ns >= 1 ) THEN |
---|
| 822 | z0h_min = surf_def_h(0)%z0h(1) |
---|
| 823 | z0_min = surf_def_h(0)%z0(1) |
---|
| 824 | ELSEIF ( surf_lsm_h%ns >= 1 ) THEN |
---|
| 825 | z0h_min = surf_lsm_h%z0h(1) |
---|
| 826 | z0_min = surf_lsm_h%z0(1) |
---|
| 827 | ELSEIF ( surf_usm_h%ns >= 1 ) THEN |
---|
| 828 | z0h_min = surf_usm_h%z0h(1) |
---|
| 829 | z0_min = surf_usm_h%z0(1) |
---|
| 830 | ENDIF |
---|
[1691] | 831 | ! |
---|
| 832 | !-- Calculate lookup table for the Richardson number versus Obukhov length |
---|
| 833 | !-- The Richardson number (rib) is defined depending on the choice of |
---|
| 834 | !-- boundary conditions for temperature |
---|
| 835 | IF ( ibc_pt_b == 1 ) THEN |
---|
[2232] | 836 | DO li = 0, num_steps-1 |
---|
| 837 | ol_tab(li) = - z_mo / zeta_tmp(num_steps-1-li) |
---|
| 838 | rib_tab(li) = z_mo / ol_tab(li) / ( LOG( z_mo / z0_min ) & |
---|
| 839 | - psi_m( z_mo / ol_tab(li) ) & |
---|
| 840 | + psi_m( z0_min / ol_tab(li) ) & |
---|
[1691] | 841 | )**3 |
---|
| 842 | ENDDO |
---|
| 843 | ELSE |
---|
[2232] | 844 | DO li = 0, num_steps-1 |
---|
| 845 | ol_tab(li) = - z_mo / zeta_tmp(num_steps-1-li) |
---|
| 846 | rib_tab(li) = z_mo / ol_tab(li) * ( LOG( z_mo / z0h_min ) & |
---|
| 847 | - psi_h( z_mo / ol_tab(li) ) & |
---|
| 848 | + psi_h( z0h_min / ol_tab(li) ) & |
---|
[1691] | 849 | ) & |
---|
| 850 | / ( LOG( z_mo / z0_min ) & |
---|
[2232] | 851 | - psi_m( z_mo / ol_tab(li) ) & |
---|
| 852 | + psi_m( z0_min / ol_tab(li) ) & |
---|
[1691] | 853 | )**2 |
---|
| 854 | ENDDO |
---|
| 855 | ENDIF |
---|
| 856 | |
---|
| 857 | ! |
---|
| 858 | !-- Determine minimum values of rib in the lookup table. Set upper limit |
---|
| 859 | !-- to critical Richardson number (0.25) |
---|
| 860 | rib_min = MINVAL(rib_tab) |
---|
| 861 | rib_max = 0.25 !MAXVAL(rib_tab) |
---|
| 862 | |
---|
| 863 | DEALLOCATE( zeta_tmp ) |
---|
| 864 | ENDIF |
---|
| 865 | |
---|
| 866 | END SUBROUTINE init_surface_layer_fluxes |
---|
| 867 | |
---|
| 868 | |
---|
| 869 | !------------------------------------------------------------------------------! |
---|
| 870 | ! Description: |
---|
| 871 | ! ------------ |
---|
[1709] | 872 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
[2232] | 873 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
[1691] | 874 | !------------------------------------------------------------------------------! |
---|
[2232] | 875 | SUBROUTINE calc_uvw_abs |
---|
[1691] | 876 | |
---|
| 877 | IMPLICIT NONE |
---|
| 878 | |
---|
[2232] | 879 | INTEGER(iwp) :: i !< running index x direction |
---|
| 880 | INTEGER(iwp) :: ibit !< flag to mask computation of relative velocity in case of downward-facing surfaces |
---|
| 881 | INTEGER(iwp) :: j !< running index y direction |
---|
| 882 | INTEGER(iwp) :: k !< running index z direction |
---|
| 883 | INTEGER(iwp) :: m !< running index surface elements |
---|
[1691] | 884 | |
---|
[2232] | 885 | ! |
---|
| 886 | !-- ibit is 1 for upward-facing surfaces, zero for downward-facing surfaces. |
---|
| 887 | ibit = MERGE( 1, 0, .NOT. downward ) |
---|
[1691] | 888 | |
---|
[2232] | 889 | DO m = 1, surf%ns |
---|
[1691] | 890 | |
---|
[2232] | 891 | i = surf%i(m) |
---|
| 892 | j = surf%j(m) |
---|
| 893 | k = surf%k(m) |
---|
[1691] | 894 | ! |
---|
[2232] | 895 | !-- Compute the absolute value of the horizontal velocity. |
---|
| 896 | !-- (relative to the surface in case the lower surface is the ocean). |
---|
| 897 | !-- Please note, in new surface modelling concept the index values changed, |
---|
| 898 | !-- i.e. the reference grid point is not the surface-grid point itself but |
---|
| 899 | !-- the first grid point outside of the topography. |
---|
| 900 | !-- Note, in case of coupled ocean-atmosphere simulations relative velocity |
---|
| 901 | !-- with respect to the ocean surface is used, hence, (k-1,j,i) values |
---|
| 902 | !-- are used to calculate the absolute velocity. |
---|
| 903 | !-- However, this do not apply for downward-facing walls. To mask this, |
---|
| 904 | !-- use ibit, which checks for upward/downward-facing surfaces. |
---|
[1691] | 905 | |
---|
[2232] | 906 | surf%uvw_abs(m) = SQRT( & |
---|
| 907 | ( 0.5_wp * ( u(k,j,i) + u(k,j,i+1) & |
---|
| 908 | - ( u(k-1,j,i) + u(k-1,j,i+1) & |
---|
| 909 | ) * ibit & |
---|
| 910 | ) & |
---|
| 911 | )**2 + & |
---|
| 912 | ( 0.5_wp * ( v(k,j,i) + v(k,j+1,i) & |
---|
| 913 | - ( v(k-1,j,i) + v(k-1,j+1,i) & |
---|
| 914 | ) * ibit & |
---|
| 915 | ) & |
---|
| 916 | )**2 & |
---|
| 917 | ) |
---|
| 918 | |
---|
[1691] | 919 | ENDDO |
---|
| 920 | |
---|
[2232] | 921 | END SUBROUTINE calc_uvw_abs |
---|
| 922 | |
---|
| 923 | |
---|
| 924 | !------------------------------------------------------------------------------! |
---|
| 925 | ! Description: |
---|
| 926 | ! ------------ |
---|
| 927 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
| 928 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
| 929 | !------------------------------------------------------------------------------! |
---|
| 930 | SUBROUTINE calc_uvw_abs_v_ugrid |
---|
| 931 | |
---|
| 932 | IMPLICIT NONE |
---|
| 933 | |
---|
| 934 | INTEGER(iwp) :: i !< running index x direction |
---|
| 935 | INTEGER(iwp) :: j !< running index y direction |
---|
| 936 | INTEGER(iwp) :: k !< running index z direction |
---|
| 937 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 938 | |
---|
| 939 | REAL(wp) :: u_i |
---|
| 940 | REAL(wp) :: w_i |
---|
| 941 | |
---|
| 942 | |
---|
| 943 | DO m = 1, surf%ns |
---|
| 944 | i = surf%i(m) |
---|
| 945 | j = surf%j(m) |
---|
| 946 | k = surf%k(m) |
---|
[1691] | 947 | ! |
---|
[2232] | 948 | !-- Compute the absolute value of the surface parallel velocity on u-grid. |
---|
| 949 | u_i = u(k,j,i) |
---|
| 950 | w_i = 0.25_wp * ( w(k-1,j,i-1) + w(k-1,j,i) + & |
---|
| 951 | w(k,j,i-1) + w(k,j,i) ) |
---|
[1691] | 952 | |
---|
[2232] | 953 | surf%uvw_abs(m) = SQRT( u_i**2 + w_i**2 ) |
---|
[1709] | 954 | |
---|
[2232] | 955 | ENDDO |
---|
[1709] | 956 | |
---|
[2232] | 957 | END SUBROUTINE calc_uvw_abs_v_ugrid |
---|
| 958 | |
---|
[1709] | 959 | !------------------------------------------------------------------------------! |
---|
| 960 | ! Description: |
---|
| 961 | ! ------------ |
---|
[2232] | 962 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
| 963 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
| 964 | !------------------------------------------------------------------------------! |
---|
| 965 | SUBROUTINE calc_uvw_abs_v_vgrid |
---|
| 966 | |
---|
| 967 | IMPLICIT NONE |
---|
| 968 | |
---|
| 969 | INTEGER(iwp) :: i !< running index x direction |
---|
| 970 | INTEGER(iwp) :: j !< running index y direction |
---|
| 971 | INTEGER(iwp) :: k !< running index z direction |
---|
| 972 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 973 | |
---|
| 974 | REAL(wp) :: v_i |
---|
| 975 | REAL(wp) :: w_i |
---|
| 976 | |
---|
| 977 | |
---|
| 978 | DO m = 1, surf%ns |
---|
| 979 | i = surf%i(m) |
---|
| 980 | j = surf%j(m) |
---|
| 981 | k = surf%k(m) |
---|
| 982 | |
---|
| 983 | v_i = u(k,j,i) |
---|
| 984 | w_i = 0.25_wp * ( w(k-1,j-1,i) + w(k-1,j,i) + & |
---|
| 985 | w(k,j-1,i) + w(k,j,i) ) |
---|
| 986 | |
---|
| 987 | surf%uvw_abs(m) = SQRT( v_i**2 + w_i**2 ) |
---|
| 988 | |
---|
| 989 | ENDDO |
---|
| 990 | |
---|
| 991 | END SUBROUTINE calc_uvw_abs_v_vgrid |
---|
| 992 | |
---|
| 993 | !------------------------------------------------------------------------------! |
---|
| 994 | ! Description: |
---|
| 995 | ! ------------ |
---|
| 996 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
| 997 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
| 998 | !------------------------------------------------------------------------------! |
---|
| 999 | SUBROUTINE calc_uvw_abs_v_wgrid |
---|
| 1000 | |
---|
| 1001 | IMPLICIT NONE |
---|
| 1002 | |
---|
| 1003 | INTEGER(iwp) :: i !< running index x direction |
---|
| 1004 | INTEGER(iwp) :: j !< running index y direction |
---|
| 1005 | INTEGER(iwp) :: k !< running index z direction |
---|
| 1006 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 1007 | |
---|
| 1008 | REAL(wp) :: u_i |
---|
| 1009 | REAL(wp) :: v_i |
---|
| 1010 | REAL(wp) :: w_i |
---|
| 1011 | ! |
---|
| 1012 | !-- North- (l=0) and south-facing (l=1) surfaces |
---|
| 1013 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
| 1014 | DO m = 1, surf%ns |
---|
| 1015 | i = surf%i(m) |
---|
| 1016 | j = surf%j(m) |
---|
| 1017 | k = surf%k(m) |
---|
| 1018 | |
---|
| 1019 | u_i = 0.25_wp * ( u(k+1,j,i+1) + u(k+1,j,i) + & |
---|
| 1020 | u(k,j,i+1) + u(k,j,i) ) |
---|
| 1021 | v_i = 0.0_wp |
---|
| 1022 | w_i = w(k,j,i) |
---|
| 1023 | |
---|
| 1024 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
| 1025 | ENDDO |
---|
| 1026 | ! |
---|
| 1027 | !-- East- (l=2) and west-facing (l=3) surfaces |
---|
| 1028 | ELSE |
---|
| 1029 | DO m = 1, surf%ns |
---|
| 1030 | i = surf%i(m) |
---|
| 1031 | j = surf%j(m) |
---|
| 1032 | k = surf%k(m) |
---|
| 1033 | |
---|
| 1034 | u_i = 0.0_wp |
---|
| 1035 | v_i = 0.25_wp * ( v(k+1,j+1,i) + v(k+1,j,i) + & |
---|
| 1036 | v(k,j+1,i) + v(k,j,i) ) |
---|
| 1037 | w_i = w(k,j,i) |
---|
| 1038 | |
---|
| 1039 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
| 1040 | ENDDO |
---|
| 1041 | ENDIF |
---|
| 1042 | |
---|
| 1043 | END SUBROUTINE calc_uvw_abs_v_wgrid |
---|
| 1044 | |
---|
| 1045 | !------------------------------------------------------------------------------! |
---|
| 1046 | ! Description: |
---|
| 1047 | ! ------------ |
---|
| 1048 | !> Compute the absolute value of the horizontal velocity (relative to the |
---|
| 1049 | !> surface) for horizontal surface elements. This is required by all methods. |
---|
| 1050 | !------------------------------------------------------------------------------! |
---|
| 1051 | SUBROUTINE calc_uvw_abs_v_sgrid |
---|
| 1052 | |
---|
| 1053 | IMPLICIT NONE |
---|
| 1054 | |
---|
| 1055 | INTEGER(iwp) :: i !< running index x direction |
---|
| 1056 | INTEGER(iwp) :: j !< running index y direction |
---|
| 1057 | INTEGER(iwp) :: k !< running index z direction |
---|
| 1058 | INTEGER(iwp) :: m !< running index surface elements |
---|
| 1059 | |
---|
| 1060 | REAL(wp) :: u_i |
---|
| 1061 | REAL(wp) :: v_i |
---|
| 1062 | REAL(wp) :: w_i |
---|
| 1063 | |
---|
| 1064 | ! |
---|
| 1065 | !-- North- (l=0) and south-facing (l=1) walls |
---|
| 1066 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
| 1067 | DO m = 1, surf%ns |
---|
| 1068 | i = surf%i(m) |
---|
| 1069 | j = surf%j(m) |
---|
| 1070 | k = surf%k(m) |
---|
| 1071 | |
---|
| 1072 | u_i = 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) |
---|
| 1073 | v_i = 0.0_wp |
---|
| 1074 | w_i = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
| 1075 | |
---|
| 1076 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
| 1077 | ENDDO |
---|
| 1078 | ! |
---|
| 1079 | !-- East- (l=2) and west-facing (l=3) walls |
---|
| 1080 | ELSE |
---|
| 1081 | DO m = 1, surf%ns |
---|
| 1082 | i = surf%i(m) |
---|
| 1083 | j = surf%j(m) |
---|
| 1084 | k = surf%k(m) |
---|
| 1085 | |
---|
| 1086 | u_i = 0.0_wp |
---|
| 1087 | v_i = 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) |
---|
| 1088 | w_i = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
| 1089 | |
---|
| 1090 | surf%uvw_abs(m) = SQRT( u_i**2 + v_i**2 + w_i**2 ) |
---|
| 1091 | ENDDO |
---|
| 1092 | ENDIF |
---|
| 1093 | |
---|
| 1094 | END SUBROUTINE calc_uvw_abs_v_sgrid |
---|
| 1095 | |
---|
| 1096 | |
---|
| 1097 | !------------------------------------------------------------------------------! |
---|
| 1098 | ! Description: |
---|
| 1099 | ! ------------ |
---|
[1709] | 1100 | !> Calculate the Obukhov length (L) and Richardson flux number (z/L) |
---|
| 1101 | !------------------------------------------------------------------------------! |
---|
| 1102 | SUBROUTINE calc_ol |
---|
| 1103 | |
---|
| 1104 | IMPLICIT NONE |
---|
| 1105 | |
---|
[2232] | 1106 | INTEGER(iwp) :: iter !< Newton iteration step |
---|
| 1107 | INTEGER(iwp) :: li !< look index |
---|
| 1108 | INTEGER(iwp) :: m !< loop variable over all horizontal wall elements |
---|
[1709] | 1109 | |
---|
| 1110 | REAL(wp) :: f, & !< Function for Newton iteration: f = Ri - [...]/[...]^2 = 0 |
---|
| 1111 | f_d_ol, & !< Derivative of f |
---|
| 1112 | ol_l, & !< Lower bound of L for Newton iteration |
---|
| 1113 | ol_m, & !< Previous value of L for Newton iteration |
---|
| 1114 | ol_old, & !< Previous time step value of L |
---|
| 1115 | ol_u !< Upper bound of L for Newton iteration |
---|
| 1116 | |
---|
[1691] | 1117 | IF ( TRIM( most_method ) /= 'circular' ) THEN |
---|
[2232] | 1118 | ! |
---|
| 1119 | !-- Evaluate bulk Richardson number (calculation depends on |
---|
| 1120 | !-- definition based on setting of boundary conditions |
---|
| 1121 | IF ( ibc_pt_b /= 1 ) THEN |
---|
| 1122 | IF ( humidity ) THEN |
---|
| 1123 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1124 | DO m = 1, surf%ns |
---|
[1691] | 1125 | |
---|
[2232] | 1126 | i = surf%i(m) |
---|
| 1127 | j = surf%j(m) |
---|
| 1128 | k = surf%k(m) |
---|
[1691] | 1129 | |
---|
[2232] | 1130 | z_mo = surf%z_mo(m) |
---|
| 1131 | |
---|
| 1132 | surf%rib(m) = g * z_mo * & |
---|
| 1133 | ( vpt(k,j,i) - vpt(k-1,j,i) ) / & |
---|
| 1134 | ( surf%uvw_abs(m)**2 * vpt(k,j,i) + 1.0E-20_wp ) |
---|
| 1135 | ENDDO |
---|
| 1136 | ELSE |
---|
| 1137 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1138 | DO m = 1, surf%ns |
---|
| 1139 | |
---|
| 1140 | i = surf%i(m) |
---|
| 1141 | j = surf%j(m) |
---|
| 1142 | k = surf%k(m) |
---|
| 1143 | |
---|
| 1144 | z_mo = surf%z_mo(m) |
---|
| 1145 | |
---|
| 1146 | surf%rib(m) = g * z_mo * & |
---|
| 1147 | ( pt(k,j,i) - pt(k-1,j,i) ) / & |
---|
| 1148 | ( surf%uvw_abs(m)**2 * pt(k,j,i) + 1.0E-20_wp ) |
---|
| 1149 | ENDDO |
---|
| 1150 | ENDIF |
---|
| 1151 | ELSE |
---|
| 1152 | IF ( humidity ) THEN |
---|
| 1153 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1154 | DO m = 1, surf%ns |
---|
| 1155 | |
---|
| 1156 | i = surf%i(m) |
---|
| 1157 | j = surf%j(m) |
---|
| 1158 | k = surf%k(m) |
---|
| 1159 | |
---|
| 1160 | z_mo = surf%z_mo(m) |
---|
| 1161 | |
---|
| 1162 | surf%rib(m) = - g * z_mo * ( ( 1.0_wp + 0.61_wp & |
---|
| 1163 | * q(k,j,i) ) * surf%shf(m) + 0.61_wp & |
---|
| 1164 | * pt(k,j,i) * surf%qsws(m) ) * & |
---|
| 1165 | drho_air_zw(k-1) / & |
---|
| 1166 | ( surf%uvw_abs(m)**3 * vpt(k,j,i) * kappa**2 & |
---|
[1709] | 1167 | + 1.0E-20_wp ) |
---|
[2232] | 1168 | ENDDO |
---|
| 1169 | ELSE |
---|
| 1170 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1171 | DO m = 1, surf%ns |
---|
[1691] | 1172 | |
---|
[2232] | 1173 | i = surf%i(m) |
---|
| 1174 | j = surf%j(m) |
---|
| 1175 | k = surf%k(m) |
---|
| 1176 | |
---|
| 1177 | z_mo = surf%z_mo(m) |
---|
| 1178 | |
---|
| 1179 | surf%rib(m) = - g * z_mo * surf%shf(m) * & |
---|
| 1180 | drho_air_zw(k-1) / & |
---|
| 1181 | ( surf%uvw_abs(m)**3 * pt(k,j,i) * kappa**2 & |
---|
| 1182 | + 1.0E-20_wp ) |
---|
| 1183 | ENDDO |
---|
| 1184 | ENDIF |
---|
| 1185 | ENDIF |
---|
| 1186 | |
---|
[1691] | 1187 | ENDIF |
---|
| 1188 | |
---|
[2232] | 1189 | |
---|
[1691] | 1190 | ! |
---|
| 1191 | !-- Calculate the Obukhov length either using a Newton iteration |
---|
| 1192 | !-- method, via a lookup table, or using the old circular way |
---|
| 1193 | IF ( TRIM( most_method ) == 'newton' ) THEN |
---|
| 1194 | |
---|
[2232] | 1195 | DO m = 1, surf%ns |
---|
[1691] | 1196 | |
---|
[2232] | 1197 | i = surf%i(m) |
---|
| 1198 | j = surf%j(m) |
---|
| 1199 | k = surf%k(m) |
---|
[1691] | 1200 | |
---|
[2232] | 1201 | z_mo = surf%z_mo(m) |
---|
| 1202 | |
---|
[1691] | 1203 | ! |
---|
[2232] | 1204 | !-- Store current value in case the Newton iteration fails |
---|
| 1205 | ol_old = surf%ol(m) |
---|
[1691] | 1206 | |
---|
| 1207 | ! |
---|
[2232] | 1208 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
| 1209 | !-- length have the same sign |
---|
| 1210 | IF ( surf%rib(m) * surf%ol(m) < 0.0_wp .OR. & |
---|
| 1211 | ABS( surf%ol(m) ) == ol_max ) THEN |
---|
| 1212 | IF ( surf%rib(m) > 1.0_wp ) surf%ol(m) = 0.01_wp |
---|
| 1213 | IF ( surf%rib(m) < 0.0_wp ) surf%ol(m) = -0.01_wp |
---|
| 1214 | ENDIF |
---|
[1691] | 1215 | ! |
---|
[2232] | 1216 | !-- Iteration to find Obukhov length |
---|
| 1217 | iter = 0 |
---|
| 1218 | DO |
---|
| 1219 | iter = iter + 1 |
---|
[1691] | 1220 | ! |
---|
[2232] | 1221 | !-- In case of divergence, use the value of the previous time step |
---|
| 1222 | IF ( iter > 1000 ) THEN |
---|
| 1223 | surf%ol(m) = ol_old |
---|
| 1224 | EXIT |
---|
| 1225 | ENDIF |
---|
[1691] | 1226 | |
---|
[2232] | 1227 | ol_m = surf%ol(m) |
---|
| 1228 | ol_l = ol_m - 0.001_wp * ol_m |
---|
| 1229 | ol_u = ol_m + 0.001_wp * ol_m |
---|
[1691] | 1230 | |
---|
| 1231 | |
---|
[2232] | 1232 | IF ( ibc_pt_b /= 1 ) THEN |
---|
[1691] | 1233 | ! |
---|
[2232] | 1234 | !-- Calculate f = Ri - [...]/[...]^2 = 0 |
---|
| 1235 | f = surf%rib(m) - ( z_mo / ol_m ) * ( & |
---|
| 1236 | LOG( z_mo / surf%z0h(m) ) & |
---|
| 1237 | - psi_h( z_mo / ol_m ) & |
---|
| 1238 | + psi_h( surf%z0h(m) / & |
---|
| 1239 | ol_m ) & |
---|
| 1240 | ) & |
---|
| 1241 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1242 | - psi_m( z_mo / ol_m ) & |
---|
| 1243 | + psi_m( surf%z0(m) / & |
---|
| 1244 | ol_m ) & |
---|
| 1245 | )**2 |
---|
[1691] | 1246 | |
---|
| 1247 | ! |
---|
[2232] | 1248 | !-- Calculate df/dL |
---|
| 1249 | f_d_ol = ( - ( z_mo / ol_u ) * ( LOG( z_mo / & |
---|
| 1250 | surf%z0h(m) ) & |
---|
| 1251 | - psi_h( z_mo / ol_u ) & |
---|
| 1252 | + psi_h( surf%z0h(m) / ol_u ) & |
---|
| 1253 | ) & |
---|
| 1254 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1255 | - psi_m( z_mo / ol_u ) & |
---|
| 1256 | + psi_m( surf%z0(m) / ol_u ) & |
---|
| 1257 | )**2 & |
---|
| 1258 | + ( z_mo / ol_l ) * ( LOG( z_mo / surf%z0h(m) ) & |
---|
| 1259 | - psi_h( z_mo / ol_l ) & |
---|
| 1260 | + psi_h( surf%z0h(m) / ol_l ) & |
---|
| 1261 | ) & |
---|
| 1262 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1263 | - psi_m( z_mo / ol_l ) & |
---|
| 1264 | + psi_m( surf%z0(m) / ol_l ) & |
---|
| 1265 | )**2 & |
---|
| 1266 | ) / ( ol_u - ol_l ) |
---|
| 1267 | ELSE |
---|
[1691] | 1268 | ! |
---|
[2232] | 1269 | !-- Calculate f = Ri - 1 /[...]^3 = 0 |
---|
| 1270 | f = surf%rib(m) - ( z_mo / ol_m ) / & |
---|
| 1271 | ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1272 | - psi_m( z_mo / ol_m ) & |
---|
| 1273 | + psi_m( surf%z0(m) / ol_m ) & |
---|
| 1274 | )**3 |
---|
[1691] | 1275 | |
---|
| 1276 | ! |
---|
[2232] | 1277 | !-- Calculate df/dL |
---|
| 1278 | f_d_ol = ( - ( z_mo / ol_u ) / ( LOG( z_mo / & |
---|
| 1279 | surf%z0(m) ) & |
---|
| 1280 | - psi_m( z_mo / ol_u ) & |
---|
| 1281 | + psi_m( surf%z0(m) / ol_u ) & |
---|
| 1282 | )**3 & |
---|
| 1283 | + ( z_mo / ol_l ) / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1284 | - psi_m( z_mo / ol_l ) & |
---|
| 1285 | + psi_m( surf%z0(m) / ol_l ) & |
---|
| 1286 | )**3 & |
---|
| 1287 | ) / ( ol_u - ol_l ) |
---|
| 1288 | ENDIF |
---|
[1691] | 1289 | ! |
---|
[2232] | 1290 | !-- Calculate new L |
---|
| 1291 | surf%ol(m) = ol_m - f / f_d_ol |
---|
[1691] | 1292 | |
---|
| 1293 | ! |
---|
[2232] | 1294 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
| 1295 | !-- length have the same sign and ensure convergence. |
---|
| 1296 | IF ( surf%ol(m) * ol_m < 0.0_wp ) surf%ol(m) = ol_m * 0.5_wp |
---|
[1691] | 1297 | ! |
---|
[2232] | 1298 | !-- If unrealistic value occurs, set L to the maximum |
---|
| 1299 | !-- value that is allowed |
---|
| 1300 | IF ( ABS( surf%ol(m) ) > ol_max ) THEN |
---|
| 1301 | surf%ol(m) = ol_max |
---|
| 1302 | EXIT |
---|
| 1303 | ENDIF |
---|
[1691] | 1304 | ! |
---|
[2232] | 1305 | !-- Check for convergence |
---|
| 1306 | IF ( ABS( ( surf%ol(m) - ol_m ) / & |
---|
| 1307 | surf%ol(m) ) < 1.0E-4_wp ) THEN |
---|
| 1308 | EXIT |
---|
| 1309 | ELSE |
---|
| 1310 | CYCLE |
---|
| 1311 | ENDIF |
---|
[1691] | 1312 | |
---|
| 1313 | ENDDO |
---|
| 1314 | ENDDO |
---|
| 1315 | |
---|
| 1316 | ELSEIF ( TRIM( most_method ) == 'lookup' ) THEN |
---|
| 1317 | |
---|
[2232] | 1318 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo, li ) FIRSTPRIVATE( li_bnd ) LASTPRIVATE( li_bnd ) |
---|
| 1319 | DO m = 1, surf%ns |
---|
[1691] | 1320 | |
---|
[2232] | 1321 | i = surf%i(m) |
---|
| 1322 | j = surf%j(m) |
---|
| 1323 | k = surf%k(m) |
---|
[1691] | 1324 | ! |
---|
[2232] | 1325 | !-- If the bulk Richardson number is outside the range of the lookup |
---|
| 1326 | !-- table, set it to the exceeding threshold value |
---|
| 1327 | IF ( surf%rib(m) < rib_min ) surf%rib(m) = rib_min |
---|
| 1328 | IF ( surf%rib(m) > rib_max ) surf%rib(m) = rib_max |
---|
[1691] | 1329 | |
---|
| 1330 | ! |
---|
[2232] | 1331 | !-- Find the correct index bounds for linear interpolation. As the |
---|
| 1332 | !-- Richardson number will not differ very much from time step to |
---|
| 1333 | !-- time step , use the index from the last step and search in the |
---|
| 1334 | !-- correct direction |
---|
| 1335 | li = li_bnd |
---|
| 1336 | IF ( rib_tab(li) - surf%rib(m) > 1.0_wp ) THEN |
---|
| 1337 | DO WHILE ( rib_tab(li-1) - surf%rib(m) > 1.0_wp .AND. li > 1 ) |
---|
| 1338 | li = li-1 |
---|
| 1339 | ENDDO |
---|
| 1340 | ELSE |
---|
| 1341 | DO WHILE ( rib_tab(li) - surf%rib(m) < 0.0_wp & |
---|
| 1342 | .AND. li < num_steps-1 ) |
---|
| 1343 | li = li+1 |
---|
| 1344 | ENDDO |
---|
| 1345 | ENDIF |
---|
| 1346 | li_bnd = li |
---|
[1691] | 1347 | |
---|
| 1348 | ! |
---|
[2232] | 1349 | !-- Linear interpolation to find the correct value of z/L |
---|
| 1350 | surf%ol(m) = ( ol_tab(li-1) + ( ol_tab(li) - ol_tab(li-1) ) & |
---|
| 1351 | / ( rib_tab(li) - rib_tab(li-1) ) & |
---|
| 1352 | * ( surf%rib(m) - rib_tab(li-1) ) ) |
---|
[1691] | 1353 | |
---|
| 1354 | ENDDO |
---|
| 1355 | |
---|
| 1356 | ELSEIF ( TRIM( most_method ) == 'circular' ) THEN |
---|
| 1357 | |
---|
[2232] | 1358 | IF ( .NOT. humidity ) THEN |
---|
| 1359 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1360 | DO m = 1, surf%ns |
---|
[1691] | 1361 | |
---|
[2232] | 1362 | i = surf%i(m) |
---|
| 1363 | j = surf%j(m) |
---|
| 1364 | k = surf%k(m) |
---|
[1691] | 1365 | |
---|
[2232] | 1366 | z_mo = surf%z_mo(m) |
---|
[1691] | 1367 | |
---|
[2232] | 1368 | surf%ol(m) = ( pt(k,j,i) * surf%us(m)**2 ) / & |
---|
| 1369 | ( kappa * g * & |
---|
| 1370 | surf%ts(m) + 1E-30_wp ) |
---|
[1691] | 1371 | ! |
---|
| 1372 | !-- Limit the value range of the Obukhov length. |
---|
[2232] | 1373 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
[1691] | 1374 | !-- the absolute value of ol can then become very small, which in |
---|
| 1375 | !-- consequence would result in very large shear stresses and very |
---|
| 1376 | !-- small momentum fluxes (both are generally unrealistic). |
---|
[2232] | 1377 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
| 1378 | surf%ol(m) = z_mo / zeta_min |
---|
| 1379 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
| 1380 | surf%ol(m) = z_mo / zeta_max |
---|
| 1381 | |
---|
[1691] | 1382 | ENDDO |
---|
[2232] | 1383 | ELSEIF ( cloud_physics ) THEN |
---|
| 1384 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1385 | DO m = 1, surf%ns |
---|
[1691] | 1386 | |
---|
[2232] | 1387 | i = surf%i(m) |
---|
| 1388 | j = surf%j(m) |
---|
| 1389 | k = surf%k(m) |
---|
[1691] | 1390 | |
---|
[2232] | 1391 | z_mo = surf%z_mo(m) |
---|
| 1392 | |
---|
| 1393 | |
---|
| 1394 | surf%ol(m) = ( vpt(k,j,i) * surf%us(m)**2 ) / & |
---|
| 1395 | ( kappa * g * ( surf%ts(m) + & |
---|
| 1396 | 0.61_wp * surf%pt1(m) * surf%us(m) & |
---|
| 1397 | + 0.61_wp * surf%qv1(m) * surf%ts(m) - & |
---|
| 1398 | surf%ts(m) * ql(k,j,i) ) + 1E-30_wp ) |
---|
[1691] | 1399 | ! |
---|
[2232] | 1400 | !-- Limit the value range of the Obukhov length. |
---|
| 1401 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
| 1402 | !-- the absolute value of ol can then become very small, which in |
---|
| 1403 | !-- consequence would result in very large shear stresses and very |
---|
| 1404 | !-- small momentum fluxes (both are generally unrealistic). |
---|
| 1405 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
| 1406 | surf%ol(m) = z_mo / zeta_min |
---|
| 1407 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
| 1408 | surf%ol(m) = z_mo / zeta_max |
---|
[1691] | 1409 | |
---|
[2232] | 1410 | ENDDO |
---|
| 1411 | ELSE |
---|
| 1412 | |
---|
| 1413 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1414 | DO m = 1, surf%ns |
---|
| 1415 | |
---|
| 1416 | i = surf%i(m) |
---|
| 1417 | j = surf%j(m) |
---|
| 1418 | k = surf%k(m) |
---|
| 1419 | |
---|
| 1420 | z_mo = surf%z_mo(m) |
---|
| 1421 | |
---|
| 1422 | surf%ol(m) = ( vpt(k,j,i) * surf%us(m)**2 ) / & |
---|
| 1423 | ( kappa * g * ( surf%ts(m) + 0.61_wp * pt(k,j,i) * & |
---|
| 1424 | surf%qs(m) + 0.61_wp * q(k,j,i) * & |
---|
| 1425 | surf%ts(m) ) + 1E-30_wp ) |
---|
| 1426 | |
---|
| 1427 | ! |
---|
| 1428 | !-- Limit the value range of the Obukhov length. |
---|
| 1429 | !-- This is necessary for very small velocities (u,v --> 1), because |
---|
| 1430 | !-- the absolute value of ol can then become very small, which in |
---|
| 1431 | !-- consequence would result in very large shear stresses and very |
---|
| 1432 | !-- small momentum fluxes (both are generally unrealistic). |
---|
| 1433 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) < zeta_min ) & |
---|
| 1434 | surf%ol(m) = z_mo / zeta_min |
---|
| 1435 | IF ( ( z_mo / ( surf%ol(m) + 1E-30_wp ) ) > zeta_max ) & |
---|
| 1436 | surf%ol(m) = z_mo / zeta_max |
---|
| 1437 | |
---|
| 1438 | ENDDO |
---|
| 1439 | |
---|
| 1440 | ENDIF |
---|
| 1441 | |
---|
| 1442 | ENDIF |
---|
| 1443 | |
---|
[1691] | 1444 | END SUBROUTINE calc_ol |
---|
| 1445 | |
---|
| 1446 | ! |
---|
| 1447 | !-- Calculate friction velocity u* |
---|
| 1448 | SUBROUTINE calc_us |
---|
| 1449 | |
---|
| 1450 | IMPLICIT NONE |
---|
| 1451 | |
---|
[2232] | 1452 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
[1691] | 1453 | |
---|
[2232] | 1454 | ! |
---|
| 1455 | !-- Compute u* at horizontal surfaces at the scalars' grid points |
---|
| 1456 | IF ( .NOT. surf_vertical ) THEN |
---|
| 1457 | ! |
---|
| 1458 | !-- Compute u* at upward-facing surfaces |
---|
| 1459 | IF ( .NOT. downward ) THEN |
---|
| 1460 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
| 1461 | DO m = 1, surf%ns |
---|
[1691] | 1462 | |
---|
[2232] | 1463 | k = surf%k(m) |
---|
| 1464 | z_mo = surf%z_mo(m) |
---|
[1691] | 1465 | ! |
---|
[2232] | 1466 | !-- Compute u* at the scalars' grid points |
---|
| 1467 | surf%us(m) = kappa * surf%uvw_abs(m) / & |
---|
| 1468 | ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1469 | - psi_m( z_mo / surf%ol(m) ) & |
---|
| 1470 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
| 1471 | |
---|
| 1472 | ENDDO |
---|
| 1473 | ! |
---|
| 1474 | !-- Compute u* at downward-facing surfaces. This case, do not consider |
---|
| 1475 | !-- any stability. |
---|
| 1476 | ELSE |
---|
| 1477 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
| 1478 | DO m = 1, surf%ns |
---|
| 1479 | |
---|
| 1480 | k = surf%k(m) |
---|
| 1481 | z_mo = surf%z_mo(m) |
---|
| 1482 | ! |
---|
| 1483 | !-- Compute u* at the scalars' grid points |
---|
| 1484 | surf%us(m) = kappa * surf%uvw_abs(m) / LOG( z_mo / surf%z0(m) ) |
---|
| 1485 | |
---|
| 1486 | ENDDO |
---|
| 1487 | ENDIF |
---|
| 1488 | ! |
---|
| 1489 | !-- Compute u* at vertical surfaces at the u/v/v grid, respectively. |
---|
| 1490 | !-- No stability is considered in this case. |
---|
| 1491 | ELSE |
---|
| 1492 | !$OMP PARALLEL DO PRIVATE( z_mo ) |
---|
| 1493 | DO m = 1, surf%ns |
---|
| 1494 | z_mo = surf%z_mo(m) |
---|
| 1495 | |
---|
| 1496 | surf%us(m) = kappa * surf%uvw_abs(m) / LOG( z_mo / surf%z0(m) ) |
---|
[1691] | 1497 | ENDDO |
---|
[2232] | 1498 | ENDIF |
---|
[1691] | 1499 | |
---|
| 1500 | END SUBROUTINE calc_us |
---|
| 1501 | |
---|
| 1502 | ! |
---|
| 1503 | !-- Calculate potential temperature and specific humidity at first grid level |
---|
[2232] | 1504 | !-- ( only for upward-facing surfs ) |
---|
[1691] | 1505 | SUBROUTINE calc_pt_q |
---|
| 1506 | |
---|
| 1507 | IMPLICIT NONE |
---|
| 1508 | |
---|
[2232] | 1509 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
| 1510 | |
---|
| 1511 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1512 | DO m = 1, surf%ns |
---|
| 1513 | |
---|
| 1514 | i = surf%i(m) |
---|
| 1515 | j = surf%j(m) |
---|
| 1516 | k = surf%k(m) |
---|
| 1517 | |
---|
| 1518 | surf%pt1(m) = pt(k,j,i) + l_d_cp * pt_d_t(k) * ql(k,j,i) |
---|
| 1519 | surf%qv1(m) = q(k,j,i) - ql(k,j,i) |
---|
| 1520 | |
---|
[1691] | 1521 | ENDDO |
---|
| 1522 | |
---|
| 1523 | END SUBROUTINE calc_pt_q |
---|
| 1524 | |
---|
| 1525 | ! |
---|
| 1526 | !-- Calculate the other MOST scaling parameters theta*, q*, (qr*, nr*) |
---|
| 1527 | SUBROUTINE calc_scaling_parameters |
---|
| 1528 | |
---|
| 1529 | IMPLICIT NONE |
---|
| 1530 | |
---|
[2232] | 1531 | |
---|
| 1532 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
| 1533 | |
---|
[1691] | 1534 | ! |
---|
[2232] | 1535 | !-- Compute theta* at horizontal surfaces |
---|
| 1536 | IF ( constant_heatflux .AND. .NOT. surf_vertical ) THEN |
---|
[1691] | 1537 | ! |
---|
| 1538 | !-- For a given heat flux in the surface layer: |
---|
[2232] | 1539 | |
---|
| 1540 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1541 | DO m = 1, surf%ns |
---|
| 1542 | |
---|
| 1543 | i = surf%i(m) |
---|
| 1544 | j = surf%j(m) |
---|
| 1545 | k = surf%k(m) |
---|
| 1546 | |
---|
| 1547 | surf%ts(m) = -surf%shf(m) * drho_air_zw(k-1) / & |
---|
| 1548 | ( surf%us(m) + 1E-30_wp ) |
---|
| 1549 | |
---|
[1691] | 1550 | ! |
---|
[2232] | 1551 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
| 1552 | !-- of us=0 when computing ol further below |
---|
| 1553 | IF ( surf%ts(m) < -1.05E5_wp ) surf%ts(m) = -1.0E5_wp |
---|
| 1554 | IF ( surf%ts(m) > 1.0E5_wp ) surf%ts(m) = 1.0E5_wp |
---|
| 1555 | |
---|
[1691] | 1556 | ENDDO |
---|
| 1557 | |
---|
[2232] | 1558 | ELSEIF ( .NOT. surf_vertical ) THEN |
---|
[1691] | 1559 | ! |
---|
| 1560 | !-- For a given surface temperature: |
---|
[1788] | 1561 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[2232] | 1562 | |
---|
| 1563 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1564 | DO m = 1, surf%ns |
---|
| 1565 | i = surf%i(m) |
---|
| 1566 | j = surf%j(m) |
---|
| 1567 | k = surf%k(m) |
---|
| 1568 | |
---|
| 1569 | pt(k-1,j,i) = pt_surface |
---|
[1691] | 1570 | ENDDO |
---|
| 1571 | ENDIF |
---|
| 1572 | |
---|
[2232] | 1573 | IF ( cloud_physics ) THEN |
---|
| 1574 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1575 | DO m = 1, surf%ns |
---|
[1691] | 1576 | |
---|
[2232] | 1577 | i = surf%i(m) |
---|
| 1578 | j = surf%j(m) |
---|
| 1579 | k = surf%k(m) |
---|
[1691] | 1580 | |
---|
[2232] | 1581 | z_mo = surf%z_mo(m) |
---|
[1691] | 1582 | |
---|
[2232] | 1583 | surf%ts(m) = kappa * ( surf%pt1(m) - pt(k-1,j,i) ) & |
---|
| 1584 | / ( LOG( z_mo / surf%z0h(m) ) & |
---|
| 1585 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1586 | + psi_h( surf%z0h(m) / surf%ol(m) ) ) |
---|
| 1587 | |
---|
[1691] | 1588 | ENDDO |
---|
[2232] | 1589 | ELSE |
---|
| 1590 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1591 | DO m = 1, surf%ns |
---|
| 1592 | |
---|
| 1593 | i = surf%i(m) |
---|
| 1594 | j = surf%j(m) |
---|
| 1595 | k = surf%k(m) |
---|
| 1596 | |
---|
| 1597 | z_mo = surf%z_mo(m) |
---|
| 1598 | |
---|
| 1599 | surf%ts(m) = kappa * ( pt(k,j,i) - pt(k-1,j,i) ) & |
---|
| 1600 | / ( LOG( z_mo / surf%z0h(m) ) & |
---|
| 1601 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1602 | + psi_h( surf%z0h(m) / surf%ol(m) ) ) |
---|
| 1603 | ENDDO |
---|
| 1604 | ENDIF |
---|
| 1605 | ENDIF |
---|
| 1606 | ! |
---|
| 1607 | !-- Compute theta* at vertical surfaces. This is only required in case of |
---|
| 1608 | !-- land-surface model, in order to compute aerodynamical resistance. |
---|
| 1609 | IF ( surf_vertical ) THEN |
---|
| 1610 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1611 | DO m = 1, surf%ns |
---|
| 1612 | |
---|
| 1613 | i = surf%i(m) |
---|
| 1614 | j = surf%j(m) |
---|
| 1615 | k = surf%k(m) |
---|
| 1616 | surf%ts(m) = -surf%shf(m) / ( surf%us(m) + 1E-30_wp ) |
---|
| 1617 | ! |
---|
| 1618 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
| 1619 | !-- of us=0 when computing ol further below |
---|
| 1620 | IF ( surf%ts(m) < -1.05E5_wp ) surf%ts(m) = -1.0E5_wp |
---|
| 1621 | IF ( surf%ts(m) > 1.0E5_wp ) surf%ts(m) = 1.0E5_wp |
---|
| 1622 | |
---|
[1691] | 1623 | ENDDO |
---|
| 1624 | ENDIF |
---|
| 1625 | |
---|
| 1626 | ! |
---|
[2232] | 1627 | !-- If required compute q* at horizontal surfaces |
---|
[1960] | 1628 | IF ( humidity ) THEN |
---|
[2232] | 1629 | IF ( constant_waterflux .AND. .NOT. surf_vertical ) THEN |
---|
[1691] | 1630 | ! |
---|
[1788] | 1631 | !-- For a given water flux in the surface layer |
---|
[2232] | 1632 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1633 | DO m = 1, surf%ns |
---|
| 1634 | |
---|
| 1635 | i = surf%i(m) |
---|
| 1636 | j = surf%j(m) |
---|
| 1637 | k = surf%k(m) |
---|
| 1638 | surf%qs(m) = -surf%qsws(m) * drho_air_zw(k-1) / & |
---|
| 1639 | ( surf%us(m) + 1E-30_wp ) |
---|
| 1640 | |
---|
[1691] | 1641 | ENDDO |
---|
| 1642 | |
---|
[2232] | 1643 | ELSEIF ( .NOT. surf_vertical ) THEN |
---|
[1788] | 1644 | coupled_run = ( coupling_mode == 'atmosphere_to_ocean' .AND. & |
---|
[1691] | 1645 | run_coupled ) |
---|
| 1646 | |
---|
[1788] | 1647 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[2232] | 1648 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1649 | DO m = 1, surf%ns |
---|
| 1650 | |
---|
| 1651 | i = surf%i(m) |
---|
| 1652 | j = surf%j(m) |
---|
| 1653 | k = surf%k(m) |
---|
| 1654 | q(k-1,j,i) = q_surface |
---|
| 1655 | |
---|
[1691] | 1656 | ENDDO |
---|
| 1657 | ENDIF |
---|
| 1658 | |
---|
| 1659 | ! |
---|
[2232] | 1660 | !-- Assume saturation for atmosphere coupled to ocean (but not |
---|
| 1661 | !-- in case of precursor runs) |
---|
| 1662 | IF ( coupled_run ) THEN |
---|
| 1663 | !$OMP PARALLEL DO PRIVATE( i, j, k, e_s ) |
---|
| 1664 | DO m = 1, surf%ns |
---|
| 1665 | i = surf%i(m) |
---|
| 1666 | j = surf%j(m) |
---|
| 1667 | k = surf%k(m) |
---|
| 1668 | e_s = 6.1_wp * & |
---|
| 1669 | EXP( 0.07_wp * ( MIN(pt(k-1,j,i),pt(k,j,i)) & |
---|
[1691] | 1670 | - 273.15_wp ) ) |
---|
[2232] | 1671 | q(k-1,j,i) = 0.622_wp * e_s / ( surface_pressure - e_s ) |
---|
| 1672 | ENDDO |
---|
| 1673 | ENDIF |
---|
[1691] | 1674 | |
---|
[2232] | 1675 | IF ( cloud_physics ) THEN |
---|
| 1676 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1677 | DO m = 1, surf%ns |
---|
[1691] | 1678 | |
---|
[2232] | 1679 | i = surf%i(m) |
---|
| 1680 | j = surf%j(m) |
---|
| 1681 | k = surf%k(m) |
---|
| 1682 | |
---|
| 1683 | z_mo = surf%z_mo(m) |
---|
[1691] | 1684 | |
---|
[2232] | 1685 | surf%qs(m) = kappa * ( surf%qv1(m) - q(k-1,j,i) ) & |
---|
| 1686 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
| 1687 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1688 | + psi_h( surf%z0q(m) / & |
---|
| 1689 | surf%ol(m) ) ) |
---|
[1691] | 1690 | ENDDO |
---|
[2232] | 1691 | ELSE |
---|
| 1692 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1693 | DO m = 1, surf%ns |
---|
| 1694 | |
---|
| 1695 | i = surf%i(m) |
---|
| 1696 | j = surf%j(m) |
---|
| 1697 | k = surf%k(m) |
---|
| 1698 | |
---|
| 1699 | z_mo = surf%z_mo(m) |
---|
| 1700 | |
---|
| 1701 | surf%qs(m) = kappa * ( q(k,j,i) - q(k-1,j,i) ) & |
---|
| 1702 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
| 1703 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1704 | + psi_h( surf%z0q(m) / & |
---|
| 1705 | surf%ol(m) ) ) |
---|
| 1706 | ENDDO |
---|
| 1707 | ENDIF |
---|
| 1708 | ENDIF |
---|
| 1709 | ! |
---|
| 1710 | !-- Compute q* at vertical surfaces |
---|
| 1711 | IF ( surf_vertical ) THEN |
---|
| 1712 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1713 | DO m = 1, surf%ns |
---|
| 1714 | |
---|
| 1715 | i = surf%i(m) |
---|
| 1716 | j = surf%j(m) |
---|
| 1717 | k = surf%k(m) |
---|
| 1718 | surf%qs(m) = -surf%qsws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
| 1719 | |
---|
[1691] | 1720 | ENDDO |
---|
| 1721 | ENDIF |
---|
| 1722 | ENDIF |
---|
[1960] | 1723 | |
---|
| 1724 | ! |
---|
| 1725 | !-- If required compute s* |
---|
| 1726 | IF ( passive_scalar ) THEN |
---|
| 1727 | ! |
---|
[2232] | 1728 | !-- At horizontal surfaces |
---|
| 1729 | IF ( constant_scalarflux .AND. .NOT. surf_vertical ) THEN |
---|
| 1730 | ! |
---|
| 1731 | !-- For a given scalar flux in the surface layer |
---|
| 1732 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1733 | DO m = 1, surf%ns |
---|
| 1734 | i = surf%i(m) |
---|
| 1735 | j = surf%j(m) |
---|
| 1736 | k = surf%k(m) |
---|
| 1737 | surf%ss(m) = -surf%ssws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
[1960] | 1738 | ENDDO |
---|
| 1739 | ENDIF |
---|
[2232] | 1740 | ! |
---|
| 1741 | !-- At vertical surfaces |
---|
| 1742 | IF ( surf_vertical ) THEN |
---|
| 1743 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1744 | DO m = 1, surf%ns |
---|
| 1745 | i = surf%i(m) |
---|
| 1746 | j = surf%j(m) |
---|
| 1747 | k = surf%k(m) |
---|
| 1748 | surf%ss(m) = -surf%ssws(m) / ( surf%us(m) + 1E-30_wp ) |
---|
| 1749 | ENDDO |
---|
| 1750 | ENDIF |
---|
[1960] | 1751 | ENDIF |
---|
[1691] | 1752 | |
---|
| 1753 | |
---|
| 1754 | ! |
---|
| 1755 | !-- If required compute qr* and nr* |
---|
[2232] | 1756 | IF ( cloud_physics .AND. microphysics_seifert .AND. & |
---|
| 1757 | .NOT. surf_vertical ) THEN |
---|
| 1758 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1759 | DO m = 1, surf%ns |
---|
[1691] | 1760 | |
---|
[2232] | 1761 | i = surf%i(m) |
---|
| 1762 | j = surf%j(m) |
---|
| 1763 | k = surf%k(m) |
---|
[1691] | 1764 | |
---|
[2232] | 1765 | z_mo = surf%z_mo(m) |
---|
[1691] | 1766 | |
---|
[2232] | 1767 | surf%qrs(m) = kappa * ( qr(k,j,i) - qr(k-1,j,i) ) & |
---|
| 1768 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
| 1769 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1770 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
[1691] | 1771 | |
---|
[2232] | 1772 | surf%nrs(m) = kappa * ( nr(k,j,i) - nr(k-1,j,i) ) & |
---|
| 1773 | / ( LOG( z_mo / surf%z0q(m) ) & |
---|
| 1774 | - psi_h( z_mo / surf%ol(m) ) & |
---|
| 1775 | + psi_h( surf%z0q(m) / surf%ol(m) ) ) |
---|
[1691] | 1776 | ENDDO |
---|
| 1777 | |
---|
| 1778 | ENDIF |
---|
| 1779 | |
---|
| 1780 | END SUBROUTINE calc_scaling_parameters |
---|
| 1781 | |
---|
| 1782 | |
---|
| 1783 | |
---|
| 1784 | ! |
---|
| 1785 | !-- Calculate surface fluxes usws, vsws, shf, qsws, (qrsws, nrsws) |
---|
| 1786 | SUBROUTINE calc_surface_fluxes |
---|
| 1787 | |
---|
| 1788 | IMPLICIT NONE |
---|
| 1789 | |
---|
[2232] | 1790 | INTEGER(iwp) :: m !< loop variable over all horizontal surf elements |
---|
[1691] | 1791 | |
---|
[2232] | 1792 | REAL(wp) :: dum !< dummy to precalculate logarithm |
---|
| 1793 | REAL(wp) :: flag_u !< flag indicating u-grid, used for calculation of horizontal momentum fluxes at vertical surfaces |
---|
| 1794 | REAL(wp) :: flag_v !< flag indicating v-grid, used for calculation of horizontal momentum fluxes at vertical surfaces |
---|
| 1795 | REAL(wp), DIMENSION(:), ALLOCATABLE :: u_i !< u-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
| 1796 | REAL(wp), DIMENSION(:), ALLOCATABLE :: v_i !< v-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
| 1797 | REAL(wp), DIMENSION(:), ALLOCATABLE :: w_i !< w-component interpolated onto scalar grid point, required for momentum fluxes at vertical surfaces |
---|
[1691] | 1798 | |
---|
| 1799 | ! |
---|
[2232] | 1800 | !-- Calcuate surface fluxes at horizontal walls |
---|
| 1801 | IF ( .NOT. surf_vertical ) THEN |
---|
| 1802 | ! |
---|
| 1803 | !-- Compute u'w' for the total model domain at upward-facing surfaces. |
---|
| 1804 | !-- First compute the corresponding component of u* and square it. |
---|
| 1805 | IF ( .NOT. downward ) THEN |
---|
| 1806 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1807 | DO m = 1, surf%ns |
---|
| 1808 | |
---|
| 1809 | i = surf%i(m) |
---|
| 1810 | j = surf%j(m) |
---|
| 1811 | k = surf%k(m) |
---|
[1691] | 1812 | |
---|
[2232] | 1813 | z_mo = surf%z_mo(m) |
---|
[1691] | 1814 | |
---|
[2232] | 1815 | surf%usws(m) = kappa * ( u(k,j,i) - u(k-1,j,i) ) & |
---|
| 1816 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1817 | - psi_m( z_mo / surf%ol(m) ) & |
---|
| 1818 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
| 1819 | ! |
---|
| 1820 | !-- Please note, the computation of usws is not fully accurate. Actually |
---|
| 1821 | !-- a further interpolation of us onto the u-grid, where usws is defined, |
---|
| 1822 | !-- is required. However, this is not done as this would require several |
---|
| 1823 | !-- data transfers between 2D-grid and the surf-type. |
---|
| 1824 | !-- The impact of the missing interpolation is negligible as several |
---|
| 1825 | !-- tests had shown. |
---|
| 1826 | !-- Same also for ol. |
---|
| 1827 | surf%usws(m) = -surf%usws(m) * surf%us(m) * rho_air_zw(k-1) |
---|
[1691] | 1828 | |
---|
[2232] | 1829 | ENDDO |
---|
[1691] | 1830 | ! |
---|
[2232] | 1831 | !-- At downward-facing surfaces |
---|
| 1832 | ELSE |
---|
| 1833 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1834 | DO m = 1, surf%ns |
---|
| 1835 | |
---|
| 1836 | i = surf%i(m) |
---|
| 1837 | j = surf%j(m) |
---|
| 1838 | k = surf%k(m) |
---|
[1691] | 1839 | |
---|
[2232] | 1840 | z_mo = surf%z_mo(m) |
---|
| 1841 | |
---|
| 1842 | surf%usws(m) = kappa * u(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
[1691] | 1843 | ! |
---|
[2232] | 1844 | !-- To Do: Is the sign correct??? |
---|
| 1845 | surf%usws(m) = surf%usws(m) * surf%us(m) * rho_air_zw(k) |
---|
[1691] | 1846 | |
---|
[2232] | 1847 | ENDDO |
---|
| 1848 | ENDIF |
---|
[1691] | 1849 | |
---|
[2232] | 1850 | ! |
---|
| 1851 | !-- Compute v'w' for the total model domain. |
---|
| 1852 | !-- First compute the corresponding component of u* and square it. |
---|
| 1853 | !-- Upward-facing surfaces |
---|
| 1854 | IF ( .NOT. downward ) THEN |
---|
| 1855 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1856 | DO m = 1, surf%ns |
---|
| 1857 | i = surf%i(m) |
---|
| 1858 | j = surf%j(m) |
---|
| 1859 | k = surf%k(m) |
---|
[1691] | 1860 | |
---|
[2232] | 1861 | z_mo = surf%z_mo(m) |
---|
[1691] | 1862 | |
---|
[2232] | 1863 | surf%vsws(m) = kappa * ( v(k,j,i) - v(k-1,j,i) ) & |
---|
| 1864 | / ( LOG( z_mo / surf%z0(m) ) & |
---|
| 1865 | - psi_m( z_mo / surf%ol(m) ) & |
---|
| 1866 | + psi_m( surf%z0(m) / surf%ol(m) ) ) |
---|
[1691] | 1867 | ! |
---|
[2232] | 1868 | !-- Please note, the computation of vsws is not fully accurate. Actually |
---|
| 1869 | !-- a further interpolation of us onto the v-grid, where vsws is defined, |
---|
| 1870 | !-- is required. However, this is not done as this would require several |
---|
| 1871 | !-- data transfers between 2D-grid and the surf-type. |
---|
| 1872 | !-- The impact of the missing interpolation is negligible as several |
---|
| 1873 | !-- tests had shown. |
---|
| 1874 | !-- Same also for ol. |
---|
| 1875 | surf%vsws(m) = -surf%vsws(m) * surf%us(m) * rho_air_zw(k-1) |
---|
| 1876 | ENDDO |
---|
| 1877 | ! |
---|
| 1878 | !-- Downward-facing surfaces |
---|
| 1879 | ELSE |
---|
| 1880 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1881 | DO m = 1, surf%ns |
---|
| 1882 | i = surf%i(m) |
---|
| 1883 | j = surf%j(m) |
---|
| 1884 | k = surf%k(m) |
---|
[1691] | 1885 | |
---|
[2232] | 1886 | z_mo = surf%z_mo(m) |
---|
| 1887 | |
---|
| 1888 | surf%vsws(m) = kappa * v(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
| 1889 | |
---|
| 1890 | surf%vsws(m) = surf%vsws(m) * surf%us(m) * rho_air_zw(k) |
---|
| 1891 | ENDDO |
---|
| 1892 | ENDIF |
---|
[1691] | 1893 | ! |
---|
[2232] | 1894 | !-- Compute the vertical kinematic heat flux |
---|
| 1895 | IF ( .NOT. constant_heatflux .AND. ( simulated_time <= & |
---|
| 1896 | skip_time_do_lsm .OR. .NOT. land_surface ) .AND. & |
---|
| 1897 | .NOT. urban_surface .AND. .NOT. downward ) THEN |
---|
| 1898 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1899 | DO m = 1, surf%ns |
---|
| 1900 | i = surf%i(m) |
---|
| 1901 | j = surf%j(m) |
---|
| 1902 | k = surf%k(m) |
---|
| 1903 | surf%shf(m) = -surf%ts(m) * surf%us(m) * rho_air_zw(k-1) |
---|
[1691] | 1904 | ENDDO |
---|
[2232] | 1905 | ENDIF |
---|
| 1906 | ! |
---|
| 1907 | !-- Compute the vertical water flux |
---|
| 1908 | IF ( .NOT. constant_waterflux .AND. humidity .AND. & |
---|
| 1909 | ( simulated_time <= skip_time_do_lsm & |
---|
| 1910 | .OR. .NOT. land_surface ) .AND. .NOT. downward ) THEN |
---|
| 1911 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1912 | DO m = 1, surf%ns |
---|
| 1913 | i = surf%i(m) |
---|
| 1914 | j = surf%j(m) |
---|
| 1915 | k = surf%k(m) |
---|
| 1916 | surf%qsws(m) = -surf%qs(m) * surf%us(m) * rho_air_zw(k-1) |
---|
| 1917 | ENDDO |
---|
| 1918 | ENDIF |
---|
| 1919 | ! |
---|
| 1920 | !-- Compute the vertical scalar flux |
---|
| 1921 | IF ( .NOT. constant_scalarflux .AND. passive_scalar .AND. & |
---|
| 1922 | .NOT. downward ) THEN |
---|
| 1923 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1924 | DO m = 1, surf%ns |
---|
[1691] | 1925 | |
---|
[2232] | 1926 | i = surf%i(m) |
---|
| 1927 | j = surf%j(m) |
---|
| 1928 | k = surf%k(m) |
---|
| 1929 | surf%ssws(m) = -surf%ss(m) * surf%us(m) |
---|
[1691] | 1930 | |
---|
[2232] | 1931 | ENDDO |
---|
| 1932 | ENDIF |
---|
[1691] | 1933 | ! |
---|
[2232] | 1934 | !-- Compute (turbulent) fluxes of rain water content and rain drop conc. |
---|
| 1935 | IF ( cloud_physics .AND. microphysics_seifert .AND. & |
---|
| 1936 | .NOT. downward) THEN |
---|
| 1937 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1938 | DO m = 1, surf%ns |
---|
| 1939 | |
---|
| 1940 | i = surf%i(m) |
---|
| 1941 | j = surf%j(m) |
---|
| 1942 | k = surf%k(m) |
---|
| 1943 | |
---|
| 1944 | surf%qrsws(m) = -surf%qrs(m) * surf%us(m) |
---|
| 1945 | surf%nrsws(m) = -surf%nrs(m) * surf%us(m) |
---|
[1691] | 1946 | ENDDO |
---|
[2232] | 1947 | ENDIF |
---|
[1691] | 1948 | |
---|
[1960] | 1949 | ! |
---|
[2232] | 1950 | !-- Bottom boundary condition for the TKE. |
---|
| 1951 | IF ( ibc_e_b == 2 ) THEN |
---|
| 1952 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 1953 | DO m = 1, surf%ns |
---|
| 1954 | |
---|
| 1955 | i = surf%i(m) |
---|
| 1956 | j = surf%j(m) |
---|
| 1957 | k = surf%k(m) |
---|
| 1958 | |
---|
| 1959 | e(k,j,i) = ( surf%us(m) / 0.1_wp )**2 |
---|
| 1960 | ! |
---|
| 1961 | !-- As a test: cm = 0.4 |
---|
| 1962 | ! e(k,j,i) = ( us(j,i) / 0.4_wp )**2 |
---|
| 1963 | e(k-1,j,i) = e(k,j,i) |
---|
| 1964 | |
---|
[1960] | 1965 | ENDDO |
---|
[2232] | 1966 | ENDIF |
---|
| 1967 | ! |
---|
| 1968 | !-- Calcuate surface fluxes at vertical surfaces. No stability is considered. |
---|
| 1969 | ELSE |
---|
| 1970 | ! |
---|
| 1971 | !-- Compute usvs l={0,1} and vsus l={2,3} |
---|
| 1972 | IF ( mom_uv ) THEN |
---|
| 1973 | ! |
---|
| 1974 | !-- Generalize computation by introducing flags. At north- and south- |
---|
| 1975 | !-- facing surfaces u-component is used, at east- and west-facing |
---|
| 1976 | !-- surfaces v-component is used. |
---|
| 1977 | flag_u = MERGE( 1.0_wp, 0.0_wp, l == 0 .OR. l == 1 ) |
---|
| 1978 | flag_v = MERGE( 1.0_wp, 0.0_wp, l == 2 .OR. l == 3 ) |
---|
| 1979 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1980 | DO m = 1, surf%ns |
---|
| 1981 | i = surf%i(m) |
---|
| 1982 | j = surf%j(m) |
---|
| 1983 | k = surf%k(m) |
---|
[1691] | 1984 | |
---|
[2232] | 1985 | z_mo = surf%z_mo(m) |
---|
[1960] | 1986 | |
---|
[2232] | 1987 | surf%mom_flux_uv(m) = kappa * & |
---|
| 1988 | ( flag_u * u(k,j,i) + flag_v * v(k,j,i) ) / & |
---|
| 1989 | LOG( z_mo / surf%z0(m) ) |
---|
| 1990 | |
---|
| 1991 | surf%mom_flux_uv(m) = & |
---|
| 1992 | - surf%mom_flux_uv(m) * surf%us(m) |
---|
| 1993 | ENDDO |
---|
| 1994 | ENDIF |
---|
[1691] | 1995 | ! |
---|
[2232] | 1996 | !-- Compute wsus l={0,1} and wsvs l={2,3} |
---|
| 1997 | IF ( mom_w ) THEN |
---|
| 1998 | !$OMP PARALLEL DO PRIVATE( i, j, k, z_mo ) |
---|
| 1999 | DO m = 1, surf%ns |
---|
| 2000 | i = surf%i(m) |
---|
| 2001 | j = surf%j(m) |
---|
| 2002 | k = surf%k(m) |
---|
| 2003 | |
---|
| 2004 | z_mo = surf%z_mo(m) |
---|
| 2005 | |
---|
| 2006 | surf%mom_flux_w(m) = kappa * w(k,j,i) / LOG( z_mo / surf%z0(m) ) |
---|
| 2007 | |
---|
| 2008 | surf%mom_flux_w(m) = & |
---|
| 2009 | - surf%mom_flux_w(m) * surf%us(m) |
---|
[1691] | 2010 | ENDDO |
---|
[2232] | 2011 | ENDIF |
---|
| 2012 | ! |
---|
| 2013 | !-- Compute momentum fluxes used for subgrid-scale TKE production at |
---|
| 2014 | !-- vertical surfaces. In constrast to the calculated momentum fluxes at |
---|
| 2015 | !-- vertical surfaces before, which are defined on the u/v/w-grid, |
---|
| 2016 | !-- respectively), the TKE fluxes are defined at the scalar grid. |
---|
| 2017 | !-- |
---|
| 2018 | IF ( mom_tke ) THEN |
---|
| 2019 | ! |
---|
| 2020 | !-- Precalculate velocity components at scalar grid point. |
---|
| 2021 | ALLOCATE( u_i(1:surf%ns) ) |
---|
| 2022 | ALLOCATE( v_i(1:surf%ns) ) |
---|
| 2023 | ALLOCATE( w_i(1:surf%ns) ) |
---|
[1691] | 2024 | |
---|
[2232] | 2025 | IF ( l == 0 .OR. l == 1 ) THEN |
---|
| 2026 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 2027 | DO m = 1, surf%ns |
---|
| 2028 | i = surf%i(m) |
---|
| 2029 | j = surf%j(m) |
---|
| 2030 | k = surf%k(m) |
---|
| 2031 | |
---|
| 2032 | u_i(m) = 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) |
---|
| 2033 | v_i(m) = 0.0_wp |
---|
| 2034 | w_i(m) = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
| 2035 | ENDDO |
---|
| 2036 | ELSE |
---|
| 2037 | !$OMP PARALLEL DO PRIVATE( i, j, k ) |
---|
| 2038 | DO m = 1, surf%ns |
---|
| 2039 | i = surf%i(m) |
---|
| 2040 | j = surf%j(m) |
---|
| 2041 | k = surf%k(m) |
---|
| 2042 | |
---|
| 2043 | u_i(m) = 0.0_wp |
---|
| 2044 | v_i(m) = 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) |
---|
| 2045 | w_i(m) = 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) |
---|
| 2046 | ENDDO |
---|
| 2047 | ENDIF |
---|
| 2048 | |
---|
| 2049 | !$OMP PARALLEL DO PRIVATE( i, j, k, dum, z_mo ) |
---|
| 2050 | DO m = 1, surf%ns |
---|
| 2051 | i = surf%i(m) |
---|
| 2052 | j = surf%j(m) |
---|
| 2053 | k = surf%k(m) |
---|
| 2054 | |
---|
| 2055 | z_mo = surf%z_mo(m) |
---|
| 2056 | |
---|
| 2057 | dum = kappa / LOG( z_mo / surf%z0(m) ) |
---|
[1691] | 2058 | ! |
---|
[2232] | 2059 | !-- usvs (l=0,1) and vsus (l=2,3) |
---|
| 2060 | surf%mom_flux_tke(0,m) = dum * ( u_i(m) + v_i(m) ) |
---|
[1691] | 2061 | ! |
---|
[2232] | 2062 | !-- wsvs (l=0,1) and wsus (l=2,3) |
---|
| 2063 | surf%mom_flux_tke(1,m) = dum * w_i(m) |
---|
| 2064 | |
---|
| 2065 | surf%mom_flux_tke(0:1,m) = & |
---|
| 2066 | - surf%mom_flux_tke(0:1,m) * surf%us(m) |
---|
[1691] | 2067 | ENDDO |
---|
[2232] | 2068 | ! |
---|
| 2069 | !-- Deallocate temporary arrays |
---|
| 2070 | DEALLOCATE( u_i ) |
---|
| 2071 | DEALLOCATE( v_i ) |
---|
| 2072 | DEALLOCATE( w_i ) |
---|
| 2073 | ENDIF |
---|
[1691] | 2074 | ENDIF |
---|
| 2075 | |
---|
| 2076 | END SUBROUTINE calc_surface_fluxes |
---|
| 2077 | |
---|
| 2078 | |
---|
| 2079 | ! |
---|
| 2080 | !-- Integrated stability function for momentum |
---|
| 2081 | FUNCTION psi_m( zeta ) |
---|
| 2082 | |
---|
| 2083 | USE kinds |
---|
| 2084 | |
---|
| 2085 | IMPLICIT NONE |
---|
| 2086 | |
---|
| 2087 | REAL(wp) :: psi_m !< Integrated similarity function result |
---|
| 2088 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
| 2089 | REAL(wp) :: x !< dummy variable |
---|
| 2090 | |
---|
| 2091 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
| 2092 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
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| 2093 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
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| 2094 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
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| 2095 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
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| 2096 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
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| 2097 | |
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| 2098 | |
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| 2099 | IF ( zeta < 0.0_wp ) THEN |
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[1788] | 2100 | x = SQRT( SQRT( 1.0_wp - 16.0_wp * zeta ) ) |
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[1691] | 2101 | psi_m = pi * 0.5_wp - 2.0_wp * ATAN( x ) + LOG( ( 1.0_wp + x )**2 & |
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| 2102 | * ( 1.0_wp + x**2 ) * 0.125_wp ) |
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| 2103 | ELSE |
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| 2104 | |
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| 2105 | psi_m = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - a * zeta & |
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| 2106 | - bc_d_d |
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| 2107 | ! |
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| 2108 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
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| 2109 | !-- psi_m = - 5.0_wp * zeta |
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| 2110 | |
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| 2111 | ENDIF |
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| 2112 | |
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| 2113 | END FUNCTION psi_m |
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| 2114 | |
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| 2115 | |
---|
| 2116 | ! |
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| 2117 | !-- Integrated stability function for heat and moisture |
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| 2118 | FUNCTION psi_h( zeta ) |
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| 2119 | |
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| 2120 | USE kinds |
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| 2121 | |
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| 2122 | IMPLICIT NONE |
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| 2123 | |
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| 2124 | REAL(wp) :: psi_h !< Integrated similarity function result |
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| 2125 | REAL(wp) :: zeta !< Stability parameter z/L |
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| 2126 | REAL(wp) :: x !< dummy variable |
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| 2127 | |
---|
| 2128 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
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| 2129 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
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| 2130 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
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| 2131 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
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| 2132 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
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| 2133 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
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| 2134 | |
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| 2135 | |
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| 2136 | IF ( zeta < 0.0_wp ) THEN |
---|
[1788] | 2137 | x = SQRT( 1.0_wp - 16.0_wp * zeta ) |
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[1691] | 2138 | psi_h = 2.0_wp * LOG( (1.0_wp + x ) / 2.0_wp ) |
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| 2139 | ELSE |
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| 2140 | psi_h = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - (1.0_wp & |
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| 2141 | + 0.66666666666_wp * a * zeta )**1.5_wp - bc_d_d & |
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| 2142 | + 1.0_wp |
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| 2143 | ! |
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| 2144 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
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| 2145 | !-- psi_h = - 5.0_wp * zeta |
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| 2146 | ENDIF |
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| 2147 | |
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| 2148 | END FUNCTION psi_h |
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| 2149 | |
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[1697] | 2150 | END MODULE surface_layer_fluxes_mod |
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