[1850] | 1 | !> @file surface_layer_fluxes_mod.f90 |
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[1691] | 2 | !--------------------------------------------------------------------------------! |
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| 3 | ! This file is part of PALM. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the terms |
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| 6 | ! of the GNU General Public License as published by the Free Software Foundation, |
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| 7 | ! either version 3 of the License, or (at your option) any later version. |
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| 8 | ! |
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| 9 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 10 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 11 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 12 | ! |
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| 13 | ! You should have received a copy of the GNU General Public License along with |
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| 14 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 15 | ! |
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[1818] | 16 | ! Copyright 1997-2016 Leibniz Universitaet Hannover |
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[1691] | 17 | ! |
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| 18 | !--------------------------------------------------------------------------------! |
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| 19 | ! Current revisions: |
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[1747] | 20 | ! ------------------ |
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[1920] | 21 | ! Avoid segmentation fault (see change in 1915) by different initialization of |
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| 22 | ! us instead of adding a very small number in the denominator |
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[1758] | 23 | ! |
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[1692] | 24 | ! Former revisions: |
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| 25 | ! ----------------- |
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| 26 | ! $Id: surface_layer_fluxes_mod.f90 1920 2016-05-30 10:50:15Z suehring $ |
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| 27 | ! |
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[1916] | 28 | ! 1915 2016-05-27 11:05:02Z suehring |
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| 29 | ! Bugfix: avoid segmentation fault in case of most_method = 'circular' at first |
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| 30 | ! timestep |
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| 31 | ! |
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[1851] | 32 | ! 1850 2016-04-08 13:29:27Z maronga |
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| 33 | ! Module renamed |
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| 34 | ! |
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| 35 | ! |
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[1823] | 36 | ! 1822 2016-04-07 07:49:42Z hoffmann |
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| 37 | ! icloud_scheme replaced by microphysics_* |
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| 38 | ! |
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[1789] | 39 | ! 1788 2016-03-10 11:01:04Z maronga |
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| 40 | ! Added parameter z0q which replaces z0h in the similarity functions for |
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| 41 | ! humidity. |
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| 42 | ! Syntax layout improved. |
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| 43 | ! |
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[1758] | 44 | ! 1757 2016-02-22 15:49:32Z maronga |
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| 45 | ! Minor fixes. |
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| 46 | ! |
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[1750] | 47 | ! 1749 2016-02-09 12:19:56Z raasch |
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| 48 | ! further OpenACC adjustments |
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| 49 | ! |
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[1748] | 50 | ! 1747 2016-02-08 12:25:53Z raasch |
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| 51 | ! adjustments for OpenACC usage |
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| 52 | ! |
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[1710] | 53 | ! 1709 2015-11-04 14:47:01Z maronga |
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| 54 | ! Bugfix: division by zero could occur when calculating rib at low wind speeds |
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| 55 | ! Bugfix: calculation of uv_total for neutral = .T., initial value for ol for |
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| 56 | ! neutral = .T. |
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| 57 | ! |
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[1706] | 58 | ! 1705 2015-11-02 14:28:56Z maronga |
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| 59 | ! Typo removed |
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| 60 | ! |
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[1698] | 61 | ! 1697 2015-10-28 17:14:10Z raasch |
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| 62 | ! FORTRAN and OpenMP errors removed |
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| 63 | ! |
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[1697] | 64 | ! 1696 2015-10-27 10:03:34Z maronga |
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[1691] | 65 | ! Modularized and completely re-written version of prandtl_fluxes.f90. In the |
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| 66 | ! course of the re-writing two additional methods have been implemented. See |
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| 67 | ! updated description. |
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| 68 | ! |
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| 69 | ! 1551 2015-03-03 14:18:16Z maronga |
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| 70 | ! Removed land surface model part. The surface fluxes are now always calculated |
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| 71 | ! within prandtl_fluxes, based on the given surface temperature/humidity (which |
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| 72 | ! is either provided by the land surface model, by large scale forcing data, or |
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| 73 | ! directly prescribed by the user. |
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| 74 | ! |
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| 75 | ! 1496 2014-12-02 17:25:50Z maronga |
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| 76 | ! Adapted for land surface model |
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| 77 | ! |
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| 78 | ! 1494 2014-11-21 17:14:03Z maronga |
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| 79 | ! Bugfixes: qs is now calculated before calculation of Rif. calculation of |
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| 80 | ! buoyancy flux in Rif corrected (added missing humidity term), allow use of |
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| 81 | ! topography for coupled runs (not tested) |
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| 82 | ! |
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| 83 | ! 1361 2014-04-16 15:17:48Z hoffmann |
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| 84 | ! Bugfix: calculation of turbulent fluxes of rain water content (qrsws) and rain |
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| 85 | ! drop concentration (nrsws) added |
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| 86 | ! |
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| 87 | ! 1340 2014-03-25 19:45:13Z kanani |
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| 88 | ! REAL constants defined as wp-kind |
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| 89 | ! |
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| 90 | ! 1320 2014-03-20 08:40:49Z raasch |
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| 91 | ! ONLY-attribute added to USE-statements, |
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| 92 | ! kind-parameters added to all INTEGER and REAL declaration statements, |
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| 93 | ! kinds are defined in new module kinds, |
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| 94 | ! old module precision_kind is removed, |
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| 95 | ! revision history before 2012 removed, |
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| 96 | ! comment fields (!:) to be used for variable explanations added to |
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| 97 | ! all variable declaration statements |
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| 98 | ! |
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| 99 | ! 1276 2014-01-15 13:40:41Z heinze |
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| 100 | ! Use LSF_DATA also in case of Dirichlet bottom boundary condition for scalars |
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| 101 | ! |
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| 102 | ! 1257 2013-11-08 15:18:40Z raasch |
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| 103 | ! openACC "kernels do" replaced by "kernels loop", "loop independent" added |
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| 104 | ! |
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| 105 | ! 1036 2012-10-22 13:43:42Z raasch |
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| 106 | ! code put under GPL (PALM 3.9) |
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| 107 | ! |
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| 108 | ! 1015 2012-09-27 09:23:24Z raasch |
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| 109 | ! OpenACC statements added |
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| 110 | ! |
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| 111 | ! 978 2012-08-09 08:28:32Z fricke |
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| 112 | ! roughness length for scalar quantities z0h added |
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| 113 | ! |
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| 114 | ! Revision 1.1 1998/01/23 10:06:06 raasch |
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| 115 | ! Initial revision |
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| 116 | ! |
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| 117 | ! |
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| 118 | ! Description: |
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| 119 | ! ------------ |
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| 120 | !> Diagnostic computation of vertical fluxes in the constant flux layer from the |
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| 121 | !> values of the variables at grid point k=1. Three different methods are |
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| 122 | !> available: |
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| 123 | !> 1) the "old" version (most_method = 'circular') which is fast, but inaccurate |
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| 124 | !> 2) a Newton iteration method (most_method = 'newton'), which is accurate, but |
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| 125 | !> slower |
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| 126 | !> 3) a method using a lookup table which is fast and accurate. Note, however, |
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| 127 | !> that this method cannot be used in case of roughness heterogeneity |
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| 128 | !> |
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| 129 | !> @todo (re)move large_scale_forcing actions |
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| 130 | !> @todo check/optimize OpenMP and OpenACC directives |
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| 131 | !------------------------------------------------------------------------------! |
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| 132 | MODULE surface_layer_fluxes_mod |
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| 133 | |
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| 134 | USE arrays_3d, & |
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| 135 | ONLY: e, kh, nr, nrs, nrsws, ol, pt, q, ql, qr, qrs, qrsws, qs, qsws, & |
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[1788] | 136 | shf, ts, u, us, usws, v, vpt, vsws, zu, zw, z0, z0h, z0q |
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[1691] | 137 | |
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| 138 | USE cloud_parameters, & |
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| 139 | ONLY: l_d_cp, pt_d_t |
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| 140 | |
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| 141 | USE constants, & |
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| 142 | ONLY: pi |
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| 143 | |
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| 144 | USE cpulog |
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| 145 | |
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| 146 | USE control_parameters, & |
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| 147 | ONLY: cloud_physics, constant_heatflux, constant_waterflux, & |
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[1822] | 148 | coupling_mode, g, humidity, ibc_e_b, ibc_pt_b, & |
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[1691] | 149 | initializing_actions, kappa, intermediate_timestep_count, & |
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| 150 | intermediate_timestep_count_max, large_scale_forcing, lsf_surf, & |
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[1822] | 151 | message_string, microphysics_seifert, most_method, neutral, & |
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| 152 | passive_scalar, pt_surface, q_surface, run_coupled, & |
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[1691] | 153 | surface_pressure, simulated_time, terminate_run, zeta_max, & |
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| 154 | zeta_min |
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| 155 | |
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| 156 | USE indices, & |
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| 157 | ONLY: nxl, nxlg, nxr, nxrg, nys, nysg, nyn, nyng, nzb_s_inner, & |
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| 158 | nzb_u_inner, nzb_v_inner |
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| 159 | |
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| 160 | USE kinds |
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| 161 | |
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| 162 | USE pegrid |
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| 163 | |
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| 164 | USE land_surface_model_mod, & |
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| 165 | ONLY: land_surface, skip_time_do_lsm |
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| 166 | |
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| 167 | IMPLICIT NONE |
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| 168 | |
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| 169 | INTEGER(iwp) :: i !< loop index x direction |
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| 170 | INTEGER(iwp) :: j !< loop index y direction |
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[1705] | 171 | INTEGER(iwp) :: k !< loop index z direction |
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[1691] | 172 | |
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| 173 | INTEGER(iwp), PARAMETER :: num_steps = 15000 !< number of steps in the lookup table |
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| 174 | |
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| 175 | LOGICAL :: coupled_run !< Flag for coupled atmosphere-ocean runs |
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| 176 | |
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| 177 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: pt1, & !< Potential temperature at first grid level (required for cloud_physics = .T.) |
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| 178 | qv1, & !< Specific humidity at first grid level (required for cloud_physics = .T.) |
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| 179 | uv_total !< Total velocity at first grid level |
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| 180 | |
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| 181 | REAL(wp), DIMENSION(0:num_steps-1) :: rib_tab, & !< Lookup table bulk Richardson number |
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| 182 | ol_tab !< Lookup table values of L |
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| 183 | |
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| 184 | REAL(wp) :: e_s, & !< Saturation water vapor pressure |
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| 185 | l_bnd = 7500, & !< Lookup table index of the last time step |
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| 186 | ol_max = 1.0E6_wp, & !< Maximum Obukhov length |
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| 187 | rib_max, & !< Maximum Richardson number in lookup table |
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| 188 | rib_min, & !< Minimum Richardson number in lookup table |
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| 189 | z_mo !< Height of the constant flux layer where MOST is assumed |
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| 190 | |
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| 191 | |
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| 192 | SAVE |
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| 193 | |
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| 194 | PRIVATE |
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| 195 | |
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[1747] | 196 | PUBLIC init_surface_layer_fluxes, pt1, qv1, surface_layer_fluxes, uv_total |
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[1691] | 197 | |
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| 198 | INTERFACE init_surface_layer_fluxes |
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| 199 | MODULE PROCEDURE init_surface_layer_fluxes |
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| 200 | END INTERFACE init_surface_layer_fluxes |
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| 201 | |
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| 202 | INTERFACE surface_layer_fluxes |
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| 203 | MODULE PROCEDURE surface_layer_fluxes |
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| 204 | END INTERFACE surface_layer_fluxes |
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| 205 | |
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| 206 | |
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| 207 | CONTAINS |
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| 208 | |
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| 209 | |
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| 210 | !------------------------------------------------------------------------------! |
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| 211 | ! Description: |
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| 212 | ! ------------ |
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| 213 | !> Main routine to compute the surface fluxes |
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| 214 | !------------------------------------------------------------------------------! |
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| 215 | SUBROUTINE surface_layer_fluxes |
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| 216 | |
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| 217 | IMPLICIT NONE |
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| 218 | |
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| 219 | ! |
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| 220 | !-- In case cloud physics is used, it is required to derive potential |
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| 221 | !-- temperature and specific humidity at first grid level from the fields pt |
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| 222 | !-- and q |
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| 223 | IF ( cloud_physics ) THEN |
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| 224 | CALL calc_pt_q |
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| 225 | ENDIF |
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| 226 | |
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| 227 | ! |
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| 228 | !-- First, calculate the new Obukhov length, then new friction velocity, |
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| 229 | !-- followed by the new scaling parameters (th*, q*, etc.), and the new |
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| 230 | !-- surface fluxes if required. The old routine ("circular") requires a |
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| 231 | !-- different order of calls as the scaling parameters from the previous time |
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| 232 | !-- steps are used to calculate the Obukhov length |
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| 233 | |
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| 234 | ! |
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| 235 | !-- Depending on setting of most_method use the "old" routine |
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| 236 | IF ( most_method == 'circular' ) THEN |
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| 237 | |
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| 238 | CALL calc_scaling_parameters |
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| 239 | |
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[1709] | 240 | CALL calc_uv_total |
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| 241 | |
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[1691] | 242 | IF ( .NOT. neutral ) THEN |
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| 243 | CALL calc_ol |
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| 244 | ENDIF |
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| 245 | |
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| 246 | CALL calc_us |
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| 247 | |
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| 248 | CALL calc_surface_fluxes |
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| 249 | |
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| 250 | ! |
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| 251 | !-- Use either Newton iteration or a lookup table for the bulk Richardson |
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| 252 | !-- number to calculate the Obukhov length |
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[1788] | 253 | ELSEIF ( most_method == 'newton' .OR. most_method == 'lookup' ) THEN |
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[1691] | 254 | |
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[1709] | 255 | CALL calc_uv_total |
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| 256 | |
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[1691] | 257 | IF ( .NOT. neutral ) THEN |
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| 258 | CALL calc_ol |
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| 259 | ENDIF |
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| 260 | |
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| 261 | CALL calc_us |
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| 262 | |
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| 263 | CALL calc_scaling_parameters |
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| 264 | |
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| 265 | CALL calc_surface_fluxes |
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| 266 | |
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| 267 | ENDIF |
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| 268 | |
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| 269 | END SUBROUTINE surface_layer_fluxes |
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| 270 | |
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| 271 | |
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| 272 | !------------------------------------------------------------------------------! |
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| 273 | ! Description: |
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| 274 | ! ------------ |
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| 275 | !> Initializing actions for the surface layer routine. Basically, this involves |
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| 276 | !> the preparation of a lookup table for the the bulk Richardson number vs |
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| 277 | !> Obukhov length L when using the lookup table method. |
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| 278 | !------------------------------------------------------------------------------! |
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| 279 | SUBROUTINE init_surface_layer_fluxes |
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| 280 | |
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| 281 | IMPLICIT NONE |
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| 282 | |
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| 283 | INTEGER(iwp) :: l, & !< Index for loop to create lookup table |
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| 284 | num_steps_n !< Number of non-stretched zeta steps |
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| 285 | |
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| 286 | LOGICAL :: terminate_run_l = .FALSE. !< Flag to terminate run (global) |
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| 287 | |
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| 288 | REAL(wp), PARAMETER :: zeta_stretch = -10.0_wp !< Start of stretching in the free convection limit |
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| 289 | |
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| 290 | REAL(wp), DIMENSION(:), ALLOCATABLE :: zeta_tmp |
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| 291 | |
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| 292 | |
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| 293 | REAL(wp) :: zeta_step, & !< Increment of zeta |
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| 294 | regr = 1.01_wp, & !< Stretching factor of zeta_step in the free convection limit |
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| 295 | regr_old = 1.0E9_wp, & !< Stretching factor of last iteration step |
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| 296 | z0h_min = 0.0_wp, & !< Minimum value of z0h to create table |
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| 297 | z0_min = 0.0_wp !< Minimum value of z0 to create table |
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| 298 | ! |
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| 299 | !-- When cloud physics is used, arrays for storing potential temperature and |
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| 300 | !-- specific humidity at first grid level are required |
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| 301 | IF ( cloud_physics ) THEN |
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| 302 | ALLOCATE ( pt1(nysg:nyng,nxlg:nxrg) ) |
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| 303 | ALLOCATE ( qv1(nysg:nyng,nxlg:nxrg) ) |
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| 304 | ENDIF |
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| 305 | |
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| 306 | ! |
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| 307 | !-- Allocate field for storing the horizontal velocity |
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| 308 | ALLOCATE ( uv_total(nysg:nyng,nxlg:nxrg) ) |
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| 309 | |
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[1709] | 310 | |
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| 311 | ! |
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| 312 | !-- In case of runs with neutral statification, set Obukhov length to a |
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| 313 | !-- large value |
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| 314 | IF ( neutral ) ol = 1.0E10_wp |
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| 315 | |
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[1691] | 316 | IF ( most_method == 'lookup' ) THEN |
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| 317 | |
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| 318 | ! |
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| 319 | !-- Check for roughness heterogeneity. In that case terminate run and |
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| 320 | !-- inform user |
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[1788] | 321 | IF ( MINVAL( z0h ) /= MAXVAL( z0h ) .OR. & |
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[1691] | 322 | MINVAL( z0 ) /= MAXVAL( z0 ) ) THEN |
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| 323 | terminate_run_l = .TRUE. |
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| 324 | ENDIF |
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| 325 | |
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| 326 | #if defined( __parallel ) |
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| 327 | ! |
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| 328 | !-- Make a logical OR for all processes. Force termiation of model if result |
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| 329 | !-- is TRUE |
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| 330 | IF ( collective_wait ) CALL MPI_BARRIER( comm2d, ierr ) |
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| 331 | CALL MPI_ALLREDUCE( terminate_run_l, terminate_run, 1, MPI_LOGICAL, & |
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| 332 | MPI_LOR, comm2d, ierr ) |
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| 333 | #else |
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| 334 | terminate_run = terminate_run_l |
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| 335 | #endif |
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| 336 | |
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| 337 | IF ( terminate_run ) THEN |
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| 338 | message_string = 'most_method = "lookup" cannot be used in ' // & |
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| 339 | 'combination with a prescribed roughness ' // & |
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| 340 | 'heterogeneity' |
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| 341 | CALL message( 'surface_layer_fluxes', 'PA0417', 1, 2, 0, 6, 0 ) |
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| 342 | ENDIF |
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| 343 | |
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| 344 | ALLOCATE( zeta_tmp(0:num_steps-1) ) |
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| 345 | |
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| 346 | ! |
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| 347 | !-- Use the lowest possible value for z_mo |
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| 348 | k = MINVAL(nzb_s_inner) |
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| 349 | z_mo = zu(k+1) - zw(k) |
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| 350 | |
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| 351 | ! |
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| 352 | !-- Calculate z/L range from zeta_stretch to zeta_max using 90% of the |
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| 353 | !-- available steps (num_steps). The calculation is done with negative |
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| 354 | !-- values of zeta in order to simplify the stretching in the free |
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| 355 | !-- convection limit for the remaining 10% of steps. |
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| 356 | zeta_tmp(0) = - zeta_max |
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| 357 | num_steps_n = ( num_steps * 9 / 10 ) - 1 |
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| 358 | zeta_step = (zeta_max - zeta_stretch) / REAL(num_steps_n) |
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| 359 | |
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| 360 | DO l = 1, num_steps_n |
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| 361 | zeta_tmp(l) = zeta_tmp(l-1) + zeta_step |
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| 362 | ENDDO |
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| 363 | |
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| 364 | ! |
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| 365 | !-- Calculate stretching factor for the free convection range |
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[1788] | 366 | DO WHILE ( ABS( (regr-regr_old) / regr_old ) > 1.0E-10_wp ) |
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[1691] | 367 | regr_old = regr |
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| 368 | regr = ( 1.0_wp - ( -zeta_min / zeta_step ) * ( 1.0_wp - regr ) & |
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| 369 | )**( 10.0_wp / REAL(num_steps) ) |
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| 370 | ENDDO |
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| 371 | |
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| 372 | ! |
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| 373 | !-- Calculate z/L range from zeta_min to zeta_stretch |
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| 374 | DO l = num_steps_n+1, num_steps-1 |
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| 375 | zeta_tmp(l) = zeta_tmp(l-1) + zeta_step |
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| 376 | zeta_step = zeta_step * regr |
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| 377 | ENDDO |
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| 378 | |
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| 379 | ! |
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[1757] | 380 | !-- Save roughness lengths to temporary variables |
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| 381 | z0h_min = z0h(nys,nxl) |
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| 382 | z0_min = z0(nys,nxl) |
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[1691] | 383 | |
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| 384 | ! |
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| 385 | !-- Calculate lookup table for the Richardson number versus Obukhov length |
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| 386 | !-- The Richardson number (rib) is defined depending on the choice of |
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| 387 | !-- boundary conditions for temperature |
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| 388 | IF ( ibc_pt_b == 1 ) THEN |
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| 389 | DO l = 0, num_steps-1 |
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| 390 | ol_tab(l) = - z_mo / zeta_tmp(num_steps-1-l) |
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| 391 | rib_tab(l) = z_mo / ol_tab(l) / ( LOG( z_mo / z0_min ) & |
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| 392 | - psi_m( z_mo / ol_tab(l) ) & |
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| 393 | + psi_m( z0_min / ol_tab(l) ) & |
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| 394 | )**3 |
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| 395 | ENDDO |
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| 396 | ELSE |
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| 397 | DO l = 0, num_steps-1 |
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| 398 | ol_tab(l) = - z_mo / zeta_tmp(num_steps-1-l) |
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| 399 | rib_tab(l) = z_mo / ol_tab(l) * ( LOG( z_mo / z0h_min ) & |
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| 400 | - psi_h( z_mo / ol_tab(l) ) & |
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| 401 | + psi_h( z0h_min / ol_tab(l) ) & |
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| 402 | ) & |
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| 403 | / ( LOG( z_mo / z0_min ) & |
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| 404 | - psi_m( z_mo / ol_tab(l) ) & |
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| 405 | + psi_m( z0_min / ol_tab(l) ) & |
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| 406 | )**2 |
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| 407 | ENDDO |
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| 408 | ENDIF |
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| 409 | |
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| 410 | ! |
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| 411 | !-- Determine minimum values of rib in the lookup table. Set upper limit |
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| 412 | !-- to critical Richardson number (0.25) |
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| 413 | rib_min = MINVAL(rib_tab) |
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| 414 | rib_max = 0.25 !MAXVAL(rib_tab) |
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| 415 | |
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| 416 | DEALLOCATE( zeta_tmp ) |
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| 417 | ENDIF |
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| 418 | |
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| 419 | END SUBROUTINE init_surface_layer_fluxes |
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| 420 | |
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| 421 | |
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| 422 | !------------------------------------------------------------------------------! |
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| 423 | ! Description: |
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| 424 | ! ------------ |
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[1709] | 425 | !> Compute the absolute value of the horizontal velocity (relative to the |
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| 426 | !> surface). This is required by all methods |
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[1691] | 427 | !------------------------------------------------------------------------------! |
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[1709] | 428 | SUBROUTINE calc_uv_total |
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[1691] | 429 | |
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| 430 | IMPLICIT NONE |
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| 431 | |
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| 432 | |
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[1747] | 433 | !$OMP PARALLEL DO PRIVATE( k ) |
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| 434 | !$acc kernels loop present( nzb_s_inner, u, uv_total, v ) private( j, k ) |
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[1691] | 435 | DO i = nxl, nxr |
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| 436 | DO j = nys, nyn |
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| 437 | |
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| 438 | k = nzb_s_inner(j,i) |
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| 439 | uv_total(j,i) = SQRT( ( 0.5_wp * ( u(k+1,j,i) + u(k+1,j,i+1) & |
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| 440 | - u(k,j,i) - u(k,j,i+1) ) )**2 + & |
---|
| 441 | ( 0.5_wp * ( v(k+1,j,i) + v(k+1,j+1,i) & |
---|
| 442 | - v(k,j,i) - v(k,j+1,i) ) )**2 ) |
---|
| 443 | |
---|
| 444 | ! |
---|
| 445 | !-- For too small values of the local wind, MOST does not work. A |
---|
| 446 | !-- threshold value is thus set if required |
---|
| 447 | ! uv_total(j,i) = MAX(0.01_wp,uv_total(j,i)) |
---|
| 448 | |
---|
| 449 | ENDDO |
---|
| 450 | ENDDO |
---|
| 451 | |
---|
| 452 | ! |
---|
| 453 | !-- Values of uv_total need to be exchanged at the ghost boundaries |
---|
| 454 | !$acc update host( uv_total ) |
---|
| 455 | CALL exchange_horiz_2d( uv_total ) |
---|
| 456 | !$acc update device( uv_total ) |
---|
| 457 | |
---|
[1709] | 458 | END SUBROUTINE calc_uv_total |
---|
| 459 | |
---|
| 460 | |
---|
| 461 | !------------------------------------------------------------------------------! |
---|
| 462 | ! Description: |
---|
| 463 | ! ------------ |
---|
| 464 | !> Calculate the Obukhov length (L) and Richardson flux number (z/L) |
---|
| 465 | !------------------------------------------------------------------------------! |
---|
| 466 | SUBROUTINE calc_ol |
---|
| 467 | |
---|
| 468 | IMPLICIT NONE |
---|
| 469 | |
---|
| 470 | INTEGER(iwp) :: iter, & !< Newton iteration step |
---|
| 471 | l !< look index |
---|
| 472 | |
---|
| 473 | REAL(wp), DIMENSION(nysg:nyng,nxlg:nxrg) :: rib !< Bulk Richardson number |
---|
| 474 | |
---|
| 475 | REAL(wp) :: f, & !< Function for Newton iteration: f = Ri - [...]/[...]^2 = 0 |
---|
| 476 | f_d_ol, & !< Derivative of f |
---|
| 477 | ol_l, & !< Lower bound of L for Newton iteration |
---|
| 478 | ol_m, & !< Previous value of L for Newton iteration |
---|
| 479 | ol_old, & !< Previous time step value of L |
---|
| 480 | ol_u !< Upper bound of L for Newton iteration |
---|
| 481 | |
---|
[1691] | 482 | IF ( TRIM( most_method ) /= 'circular' ) THEN |
---|
| 483 | |
---|
[1747] | 484 | !$acc data present( nzb_s_inner, pt, q, qsws, rib, shf, uv_total, vpt, zu, zw ) |
---|
| 485 | |
---|
[1691] | 486 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1747] | 487 | !$acc kernels loop private( j, k, z_mo ) |
---|
[1691] | 488 | DO i = nxl, nxr |
---|
| 489 | DO j = nys, nyn |
---|
| 490 | |
---|
| 491 | k = nzb_s_inner(j,i) |
---|
| 492 | z_mo = zu(k+1) - zw(k) |
---|
| 493 | |
---|
| 494 | ! |
---|
| 495 | !-- Evaluate bulk Richardson number (calculation depends on |
---|
| 496 | !-- definition based on setting of boundary conditions |
---|
| 497 | IF ( ibc_pt_b /= 1 ) THEN |
---|
| 498 | IF ( humidity ) THEN |
---|
| 499 | rib(j,i) = g * z_mo * ( vpt(k+1,j,i) - vpt(k,j,i) ) & |
---|
[1709] | 500 | / ( uv_total(j,i)**2 * vpt(k+1,j,i) + 1.0E-20_wp ) |
---|
[1691] | 501 | ELSE |
---|
| 502 | rib(j,i) = g * z_mo * ( pt(k+1,j,i) - pt(k,j,i) ) & |
---|
[1709] | 503 | / ( uv_total(j,i)**2 * pt(k+1,j,i) + 1.0E-20_wp ) |
---|
[1691] | 504 | ENDIF |
---|
| 505 | ELSE |
---|
| 506 | ! |
---|
| 507 | !-- When using Neumann boundary conditions, the buoyancy flux |
---|
| 508 | !-- is required but cannot be calculated at the surface, as pt |
---|
| 509 | !-- and q are not known at the surface. Hence the values at |
---|
| 510 | !-- first grid level are used to estimate the buoyancy flux |
---|
| 511 | IF ( humidity ) THEN |
---|
| 512 | rib(j,i) = - g * z_mo * ( ( 1.0_wp + 0.61_wp & |
---|
| 513 | * q(k+1,j,i) ) * shf(j,i) + 0.61_wp & |
---|
| 514 | * pt(k+1,j,i) * qsws(j,i) ) & |
---|
[1709] | 515 | / ( uv_total(j,i)**3 * vpt(k+1,j,i) * kappa**2& |
---|
| 516 | + 1.0E-20_wp) |
---|
[1691] | 517 | ELSE |
---|
| 518 | rib(j,i) = - g * z_mo * shf(j,i) & |
---|
[1709] | 519 | / ( uv_total(j,i)**3 * pt(k+1,j,i) * kappa**2 & |
---|
| 520 | + 1.0E-20_wp ) |
---|
[1691] | 521 | ENDIF |
---|
| 522 | ENDIF |
---|
| 523 | |
---|
| 524 | ENDDO |
---|
| 525 | ENDDO |
---|
[1747] | 526 | !$acc end data |
---|
[1691] | 527 | |
---|
| 528 | ENDIF |
---|
| 529 | |
---|
| 530 | ! |
---|
| 531 | !-- Calculate the Obukhov length either using a Newton iteration |
---|
| 532 | !-- method, via a lookup table, or using the old circular way |
---|
| 533 | IF ( TRIM( most_method ) == 'newton' ) THEN |
---|
| 534 | |
---|
| 535 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1749] | 536 | !# WARNING: does not work on GPU so far because of DO-loop with |
---|
| 537 | !# undetermined iterations |
---|
[1747] | 538 | !!!!!!$acc kernels loop |
---|
[1691] | 539 | DO i = nxl, nxr |
---|
| 540 | DO j = nys, nyn |
---|
| 541 | |
---|
| 542 | k = nzb_s_inner(j,i) |
---|
| 543 | z_mo = zu(k+1) - zw(k) |
---|
| 544 | |
---|
| 545 | ! |
---|
| 546 | !-- Store current value in case the Newton iteration fails |
---|
| 547 | ol_old = ol(j,i) |
---|
| 548 | |
---|
| 549 | ! |
---|
| 550 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
| 551 | !-- lengtH have the same sign |
---|
[1788] | 552 | IF ( rib(j,i) * ol(j,i) < 0.0_wp .OR. & |
---|
[1691] | 553 | ABS( ol(j,i) ) == ol_max ) THEN |
---|
| 554 | IF ( rib(j,i) > 0.0_wp ) ol(j,i) = 0.01_wp |
---|
| 555 | IF ( rib(j,i) < 0.0_wp ) ol(j,i) = -0.01_wp |
---|
| 556 | ENDIF |
---|
| 557 | ! |
---|
| 558 | !-- Iteration to find Obukhov length |
---|
| 559 | iter = 0 |
---|
| 560 | DO |
---|
| 561 | iter = iter + 1 |
---|
| 562 | ! |
---|
| 563 | !-- In case of divergence, use the value of the previous time step |
---|
| 564 | IF ( iter > 1000 ) THEN |
---|
| 565 | ol(j,i) = ol_old |
---|
| 566 | EXIT |
---|
| 567 | ENDIF |
---|
| 568 | |
---|
| 569 | ol_m = ol(j,i) |
---|
| 570 | ol_l = ol_m - 0.001_wp * ol_m |
---|
| 571 | ol_u = ol_m + 0.001_wp * ol_m |
---|
| 572 | |
---|
| 573 | |
---|
| 574 | IF ( ibc_pt_b /= 1 ) THEN |
---|
| 575 | ! |
---|
| 576 | !-- Calculate f = Ri - [...]/[...]^2 = 0 |
---|
| 577 | f = rib(j,i) - ( z_mo / ol_m ) * ( LOG( z_mo / z0h(j,i) )& |
---|
| 578 | - psi_h( z_mo / ol_m ) & |
---|
| 579 | + psi_h( z0h(j,i) / ol_m ) & |
---|
| 580 | ) & |
---|
| 581 | / ( LOG( z_mo / z0(j,i) ) & |
---|
| 582 | - psi_m( z_mo / ol_m ) & |
---|
| 583 | + psi_m( z0(j,i) / ol_m ) & |
---|
| 584 | )**2 |
---|
| 585 | |
---|
| 586 | ! |
---|
| 587 | !-- Calculate df/dL |
---|
| 588 | f_d_ol = ( - ( z_mo / ol_u ) * ( LOG( z_mo / z0h(j,i) ) & |
---|
| 589 | - psi_h( z_mo / ol_u ) & |
---|
| 590 | + psi_h( z0h(j,i) / ol_u ) & |
---|
| 591 | ) & |
---|
| 592 | / ( LOG( z_mo / z0(j,i) ) & |
---|
| 593 | - psi_m( z_mo / ol_u ) & |
---|
| 594 | + psi_m( z0(j,i) / ol_u ) & |
---|
| 595 | )**2 & |
---|
| 596 | + ( z_mo / ol_l ) * ( LOG( z_mo / z0h(j,i) ) & |
---|
| 597 | - psi_h( z_mo / ol_l ) & |
---|
| 598 | + psi_h( z0h(j,i) / ol_l ) & |
---|
| 599 | ) & |
---|
| 600 | / ( LOG( z_mo / z0(j,i) ) & |
---|
| 601 | - psi_m( z_mo / ol_l ) & |
---|
| 602 | + psi_m( z0(j,i) / ol_l ) & |
---|
| 603 | )**2 & |
---|
| 604 | ) / ( ol_u - ol_l ) |
---|
| 605 | ELSE |
---|
| 606 | ! |
---|
| 607 | !-- Calculate f = Ri - 1 /[...]^3 = 0 |
---|
| 608 | f = rib(j,i) - ( z_mo / ol_m ) / ( LOG( z_mo / z0(j,i) )& |
---|
| 609 | - psi_m( z_mo / ol_m ) & |
---|
| 610 | + psi_m( z0(j,i) / ol_m ) & |
---|
| 611 | )**3 |
---|
| 612 | |
---|
| 613 | ! |
---|
| 614 | !-- Calculate df/dL |
---|
| 615 | f_d_ol = ( - ( z_mo / ol_u ) / ( LOG( z_mo / z0(j,i) ) & |
---|
| 616 | - psi_m( z_mo / ol_u ) & |
---|
| 617 | + psi_m( z0(j,i) / ol_u ) & |
---|
| 618 | )**3 & |
---|
| 619 | + ( z_mo / ol_l ) / ( LOG( z_mo / z0(j,i) ) & |
---|
| 620 | - psi_m( z_mo / ol_l ) & |
---|
| 621 | + psi_m( z0(j,i) / ol_l ) & |
---|
| 622 | )**3 & |
---|
| 623 | ) / ( ol_u - ol_l ) |
---|
| 624 | ENDIF |
---|
| 625 | ! |
---|
| 626 | !-- Calculate new L |
---|
| 627 | ol(j,i) = ol_m - f / f_d_ol |
---|
| 628 | |
---|
| 629 | ! |
---|
| 630 | !-- Ensure that the bulk Richardson number and the Obukhov |
---|
| 631 | !-- length have the same sign and ensure convergence. |
---|
| 632 | IF ( ol(j,i) * ol_m < 0.0_wp ) ol(j,i) = ol_m * 0.5_wp |
---|
| 633 | |
---|
| 634 | ! |
---|
| 635 | !-- If unrealistic value occurs, set L to the maximum |
---|
| 636 | !-- value that is allowed |
---|
| 637 | IF ( ABS( ol(j,i) ) > ol_max ) THEN |
---|
| 638 | ol(j,i) = ol_max |
---|
| 639 | EXIT |
---|
| 640 | ENDIF |
---|
| 641 | ! |
---|
| 642 | !-- Check for convergence |
---|
| 643 | IF ( ABS( ( ol(j,i) - ol_m ) / ol(j,i) ) < 1.0E-4_wp ) THEN |
---|
| 644 | EXIT |
---|
| 645 | ELSE |
---|
| 646 | CYCLE |
---|
| 647 | ENDIF |
---|
| 648 | |
---|
| 649 | ENDDO |
---|
| 650 | |
---|
| 651 | ENDDO |
---|
| 652 | ENDDO |
---|
| 653 | |
---|
| 654 | ELSEIF ( TRIM( most_method ) == 'lookup' ) THEN |
---|
| 655 | |
---|
| 656 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1788] | 657 | !# WARNING: does not work on GPU so far because of DO WHILE construct |
---|
[1747] | 658 | !!!!!!$acc kernels loop |
---|
[1691] | 659 | DO i = nxl, nxr |
---|
| 660 | DO j = nys, nyn |
---|
| 661 | |
---|
| 662 | ! |
---|
| 663 | !-- If the bulk Richardson number is outside the range of the lookup |
---|
| 664 | !-- table, set it to the exceeding threshold value |
---|
| 665 | IF ( rib(j,i) < rib_min ) rib(j,i) = rib_min |
---|
| 666 | IF ( rib(j,i) > rib_max ) rib(j,i) = rib_max |
---|
| 667 | |
---|
| 668 | ! |
---|
| 669 | !-- Find the correct index bounds for linear interpolation. As the |
---|
| 670 | !-- Richardson number will not differ very much from time step to |
---|
| 671 | !-- time step , use the index from the last step and search in the |
---|
| 672 | !-- correct direction |
---|
| 673 | l = l_bnd |
---|
| 674 | IF ( rib_tab(l) - rib(j,i) > 0.0_wp ) THEN |
---|
[1788] | 675 | DO WHILE ( rib_tab(l-1) - rib(j,i) > 0.0_wp .AND. l > 0 ) |
---|
[1691] | 676 | l = l-1 |
---|
| 677 | ENDDO |
---|
| 678 | ELSE |
---|
[1788] | 679 | DO WHILE ( rib_tab(l) - rib(j,i) < 0.0_wp & |
---|
| 680 | .AND. l < num_steps-1 ) |
---|
[1691] | 681 | l = l+1 |
---|
| 682 | ENDDO |
---|
| 683 | ENDIF |
---|
| 684 | l_bnd = l |
---|
| 685 | |
---|
| 686 | ! |
---|
| 687 | !-- Linear interpolation to find the correct value of z/L |
---|
[1788] | 688 | ol(j,i) = ( ol_tab(l-1) + ( ol_tab(l) - ol_tab(l-1) ) & |
---|
| 689 | / ( rib_tab(l) - rib_tab(l-1) ) & |
---|
[1691] | 690 | * ( rib(j,i) - rib_tab(l-1) ) ) |
---|
| 691 | |
---|
| 692 | ENDDO |
---|
| 693 | ENDDO |
---|
| 694 | |
---|
| 695 | ELSEIF ( TRIM( most_method ) == 'circular' ) THEN |
---|
| 696 | |
---|
| 697 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1747] | 698 | !$acc kernels loop present( nzb_s_inner, ol, pt, pt1, q, ql, qs, qv1, ts, us, vpt, zu, zw ) private( j, k, z_mo ) |
---|
[1691] | 699 | DO i = nxl, nxr |
---|
| 700 | DO j = nys, nyn |
---|
| 701 | |
---|
| 702 | k = nzb_s_inner(j,i) |
---|
| 703 | z_mo = zu(k+1) - zw(k) |
---|
| 704 | |
---|
| 705 | IF ( .NOT. humidity ) THEN |
---|
| 706 | ol(j,i) = ( pt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
| 707 | * ts(j,i) + 1E-30_wp ) |
---|
| 708 | ELSEIF ( cloud_physics ) THEN |
---|
| 709 | |
---|
| 710 | ol(j,i) = ( vpt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
| 711 | * ( ts(j,i) + 0.61_wp * pt1(j,i) * qs(j,i) & |
---|
| 712 | + 0.61_wp * qv1(j,i) * ts(j,i) - ts(j,i) & |
---|
| 713 | * ql(k+1,j,i) ) + 1E-30_wp ) |
---|
| 714 | ELSE |
---|
| 715 | ol(j,i) = ( vpt(k+1,j,i) * us(j,i)**2 ) / ( kappa * g & |
---|
| 716 | * ( ts(j,i) + 0.61_wp * pt(k+1,j,i) * qs(j,i) & |
---|
| 717 | + 0.61_wp * q(k+1,j,i) * ts(j,i) ) + 1E-30_wp ) |
---|
| 718 | ENDIF |
---|
| 719 | ! |
---|
| 720 | !-- Limit the value range of the Obukhov length. |
---|
| 721 | !-- This is necessary for very small velocities (u,v --> 0), because |
---|
| 722 | !-- the absolute value of ol can then become very small, which in |
---|
| 723 | !-- consequence would result in very large shear stresses and very |
---|
| 724 | !-- small momentum fluxes (both are generally unrealistic). |
---|
[1920] | 725 | IF ( ( z_mo / ol(j,i) ) < zeta_min ) ol(j,i) = z_mo / zeta_min |
---|
| 726 | IF ( ( z_mo / ol(j,i) ) > zeta_max ) ol(j,i) = z_mo / zeta_max |
---|
[1691] | 727 | ENDDO |
---|
| 728 | ENDDO |
---|
| 729 | |
---|
| 730 | ENDIF |
---|
| 731 | |
---|
| 732 | ! |
---|
| 733 | !-- Values of ol at ghost point locations are needed for the evaluation |
---|
| 734 | !-- of usws and vsws. |
---|
| 735 | !$acc update host( ol ) |
---|
| 736 | CALL exchange_horiz_2d( ol ) |
---|
| 737 | !$acc update device( ol ) |
---|
| 738 | |
---|
| 739 | END SUBROUTINE calc_ol |
---|
| 740 | |
---|
| 741 | ! |
---|
| 742 | !-- Calculate friction velocity u* |
---|
| 743 | SUBROUTINE calc_us |
---|
| 744 | |
---|
| 745 | IMPLICIT NONE |
---|
| 746 | |
---|
[1697] | 747 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1749] | 748 | !$acc kernels loop present( nzb_s_inner, ol, us, uv_total, zu, zw, z0 ) private( j, k, z_mo ) |
---|
[1691] | 749 | DO i = nxlg, nxrg |
---|
| 750 | DO j = nysg, nyng |
---|
| 751 | |
---|
| 752 | k = nzb_s_inner(j,i)+1 |
---|
| 753 | z_mo = zu(k+1) - zw(k) |
---|
| 754 | |
---|
| 755 | ! |
---|
| 756 | !-- Compute u* at the scalars' grid points |
---|
| 757 | us(j,i) = kappa * uv_total(j,i) / ( LOG( z_mo / z0(j,i) ) & |
---|
| 758 | - psi_m( z_mo / ol(j,i) ) & |
---|
| 759 | + psi_m( z0(j,i) / ol(j,i) ) ) |
---|
| 760 | ENDDO |
---|
| 761 | ENDDO |
---|
| 762 | |
---|
| 763 | END SUBROUTINE calc_us |
---|
| 764 | |
---|
| 765 | ! |
---|
| 766 | !-- Calculate potential temperature and specific humidity at first grid level |
---|
| 767 | SUBROUTINE calc_pt_q |
---|
| 768 | |
---|
| 769 | IMPLICIT NONE |
---|
| 770 | |
---|
[1747] | 771 | !$acc kernels loop present( nzb_s_inner, pt, pt1, pt_d_t, q, ql, qv1 ) private( j, k ) |
---|
[1691] | 772 | DO i = nxlg, nxrg |
---|
| 773 | DO j = nysg, nyng |
---|
| 774 | k = nzb_s_inner(j,i)+1 |
---|
| 775 | pt1(j,i) = pt(k,j,i) + l_d_cp * pt_d_t(k) * ql(k,j,i) |
---|
| 776 | qv1(j,i) = q(k,j,i) - ql(k,j,i) |
---|
| 777 | ENDDO |
---|
| 778 | ENDDO |
---|
| 779 | |
---|
| 780 | END SUBROUTINE calc_pt_q |
---|
| 781 | |
---|
| 782 | ! |
---|
| 783 | !-- Calculate the other MOST scaling parameters theta*, q*, (qr*, nr*) |
---|
| 784 | SUBROUTINE calc_scaling_parameters |
---|
| 785 | |
---|
| 786 | IMPLICIT NONE |
---|
| 787 | |
---|
| 788 | ! |
---|
| 789 | !-- Data information for accelerators |
---|
| 790 | !$acc data present( e, nrsws, nzb_u_inner, nzb_v_inner, nzb_s_inner, pt ) & |
---|
| 791 | !$acc present( q, qs, qsws, qrsws, shf, ts, u, us, usws, v ) & |
---|
| 792 | !$acc present( vpt, vsws, zu, zw, z0, z0h ) |
---|
| 793 | ! |
---|
| 794 | !-- Compute theta* |
---|
| 795 | IF ( constant_heatflux ) THEN |
---|
| 796 | |
---|
| 797 | ! |
---|
| 798 | !-- For a given heat flux in the surface layer: |
---|
| 799 | !$OMP PARALLEL DO |
---|
[1747] | 800 | !$acc kernels loop private( j ) |
---|
[1691] | 801 | DO i = nxlg, nxrg |
---|
| 802 | DO j = nysg, nyng |
---|
| 803 | ts(j,i) = -shf(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
| 804 | ! |
---|
| 805 | !-- ts must be limited, because otherwise overflow may occur in case |
---|
| 806 | !-- of us=0 when computing ol further below |
---|
| 807 | IF ( ts(j,i) < -1.05E5_wp ) ts(j,i) = -1.0E5_wp |
---|
| 808 | IF ( ts(j,i) > 1.0E5_wp ) ts(j,i) = 1.0E5_wp |
---|
| 809 | ENDDO |
---|
| 810 | ENDDO |
---|
| 811 | |
---|
| 812 | ELSE |
---|
| 813 | ! |
---|
| 814 | !-- For a given surface temperature: |
---|
[1788] | 815 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[1691] | 816 | !$OMP PARALLEL DO |
---|
[1747] | 817 | !$acc kernels loop private( j, k ) |
---|
[1691] | 818 | DO i = nxlg, nxrg |
---|
| 819 | DO j = nysg, nyng |
---|
| 820 | k = nzb_s_inner(j,i) |
---|
| 821 | pt(k,j,i) = pt_surface |
---|
| 822 | ENDDO |
---|
| 823 | ENDDO |
---|
| 824 | ENDIF |
---|
| 825 | |
---|
[1697] | 826 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1749] | 827 | !$acc kernels loop present( nzb_s_inner, ol, pt, pt1, ts, zu, zw, z0h ) private( j, k, z_mo ) |
---|
[1691] | 828 | DO i = nxlg, nxrg |
---|
| 829 | DO j = nysg, nyng |
---|
| 830 | |
---|
| 831 | k = nzb_s_inner(j,i) |
---|
| 832 | z_mo = zu(k+1) - zw(k) |
---|
| 833 | |
---|
| 834 | IF ( cloud_physics ) THEN |
---|
| 835 | ts(j,i) = kappa * ( pt1(j,i) - pt(k,j,i) ) & |
---|
| 836 | / ( LOG( z_mo / z0h(j,i) ) & |
---|
| 837 | - psi_h( z_mo / ol(j,i) ) & |
---|
| 838 | + psi_h( z0h(j,i) / ol(j,i) ) ) |
---|
| 839 | ELSE |
---|
| 840 | ts(j,i) = kappa * ( pt(k+1,j,i) - pt(k,j,i) ) & |
---|
| 841 | / ( LOG( z_mo / z0h(j,i) ) & |
---|
| 842 | - psi_h( z_mo / ol(j,i) ) & |
---|
| 843 | + psi_h( z0h(j,i) / ol(j,i) ) ) |
---|
| 844 | ENDIF |
---|
| 845 | |
---|
| 846 | ENDDO |
---|
| 847 | ENDDO |
---|
| 848 | ENDIF |
---|
| 849 | |
---|
| 850 | ! |
---|
| 851 | !-- If required compute q* |
---|
| 852 | IF ( humidity .OR. passive_scalar ) THEN |
---|
| 853 | IF ( constant_waterflux ) THEN |
---|
| 854 | ! |
---|
[1788] | 855 | !-- For a given water flux in the surface layer |
---|
[1691] | 856 | !$OMP PARALLEL DO |
---|
[1747] | 857 | !$acc kernels loop private( j ) |
---|
[1691] | 858 | DO i = nxlg, nxrg |
---|
| 859 | DO j = nysg, nyng |
---|
| 860 | qs(j,i) = -qsws(j,i) / ( us(j,i) + 1E-30_wp ) |
---|
| 861 | ENDDO |
---|
| 862 | ENDDO |
---|
| 863 | |
---|
| 864 | ELSE |
---|
[1788] | 865 | coupled_run = ( coupling_mode == 'atmosphere_to_ocean' .AND. & |
---|
[1691] | 866 | run_coupled ) |
---|
| 867 | |
---|
[1788] | 868 | IF ( large_scale_forcing .AND. lsf_surf ) THEN |
---|
[1691] | 869 | !$OMP PARALLEL DO |
---|
[1747] | 870 | !$acc kernels loop private( j, k ) |
---|
[1691] | 871 | DO i = nxlg, nxrg |
---|
| 872 | DO j = nysg, nyng |
---|
| 873 | k = nzb_s_inner(j,i) |
---|
| 874 | q(k,j,i) = q_surface |
---|
| 875 | ENDDO |
---|
| 876 | ENDDO |
---|
| 877 | ENDIF |
---|
| 878 | |
---|
[1697] | 879 | !$OMP PARALLEL DO PRIVATE( e_s, k, z_mo ) |
---|
[1788] | 880 | !$acc kernels loop independent present( nzb_s_inner, ol, pt, q, qs, qv1, zu, zw, z0q ) private( e_s, j, k, z_mo ) |
---|
[1691] | 881 | DO i = nxlg, nxrg |
---|
[1749] | 882 | !$acc loop independent |
---|
[1691] | 883 | DO j = nysg, nyng |
---|
| 884 | |
---|
| 885 | k = nzb_s_inner(j,i) |
---|
| 886 | z_mo = zu(k+1) - zw(k) |
---|
| 887 | |
---|
| 888 | ! |
---|
| 889 | !-- Assume saturation for atmosphere coupled to ocean (but not |
---|
| 890 | !-- in case of precursor runs) |
---|
| 891 | IF ( coupled_run ) THEN |
---|
| 892 | e_s = 6.1_wp * & |
---|
| 893 | EXP( 0.07_wp * ( MIN(pt(k,j,i),pt(k+1,j,i)) & |
---|
| 894 | - 273.15_wp ) ) |
---|
| 895 | q(k,j,i) = 0.622_wp * e_s / ( surface_pressure - e_s ) |
---|
| 896 | ENDIF |
---|
| 897 | |
---|
| 898 | IF ( cloud_physics ) THEN |
---|
| 899 | qs(j,i) = kappa * ( qv1(j,i) - q(k,j,i) ) & |
---|
[1788] | 900 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
[1691] | 901 | - psi_h( z_mo / ol(j,i) ) & |
---|
[1788] | 902 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
[1691] | 903 | |
---|
| 904 | ELSE |
---|
| 905 | qs(j,i) = kappa * ( q(k+1,j,i) - q(k,j,i) ) & |
---|
[1788] | 906 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
[1691] | 907 | - psi_h( z_mo / ol(j,i) ) & |
---|
[1788] | 908 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
[1691] | 909 | ENDIF |
---|
| 910 | |
---|
| 911 | ENDDO |
---|
| 912 | ENDDO |
---|
| 913 | ENDIF |
---|
| 914 | ENDIF |
---|
| 915 | |
---|
| 916 | |
---|
| 917 | ! |
---|
| 918 | !-- If required compute qr* and nr* |
---|
[1822] | 919 | IF ( cloud_physics .AND. microphysics_seifert ) & |
---|
[1788] | 920 | THEN |
---|
[1691] | 921 | |
---|
[1697] | 922 | !$OMP PARALLEL DO PRIVATE( k, z_mo ) |
---|
[1788] | 923 | !$acc kernels loop independent present( nr, nrs, nzb_s_inner, ol, qr, qrs, zu, zw, z0q ) private( j, k, z_mo ) |
---|
[1691] | 924 | DO i = nxlg, nxrg |
---|
[1749] | 925 | !$acc loop independent |
---|
[1691] | 926 | DO j = nysg, nyng |
---|
| 927 | |
---|
| 928 | k = nzb_s_inner(j,i) |
---|
| 929 | z_mo = zu(k+1) - zw(k) |
---|
| 930 | |
---|
[1749] | 931 | qrs(j,i) = kappa * ( qr(k+1,j,i) - qr(k,j,i) ) & |
---|
[1788] | 932 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
[1749] | 933 | - psi_h( z_mo / ol(j,i) ) & |
---|
[1788] | 934 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
[1691] | 935 | |
---|
[1749] | 936 | nrs(j,i) = kappa * ( nr(k+1,j,i) - nr(k,j,i) ) & |
---|
[1788] | 937 | / ( LOG( z_mo / z0q(j,i) ) & |
---|
[1749] | 938 | - psi_h( z_mo / ol(j,i) ) & |
---|
[1788] | 939 | + psi_h( z0q(j,i) / ol(j,i) ) ) |
---|
[1691] | 940 | ENDDO |
---|
| 941 | ENDDO |
---|
| 942 | |
---|
| 943 | ENDIF |
---|
[1747] | 944 | !$acc end data |
---|
[1691] | 945 | |
---|
| 946 | END SUBROUTINE calc_scaling_parameters |
---|
| 947 | |
---|
| 948 | |
---|
| 949 | |
---|
| 950 | ! |
---|
| 951 | !-- Calculate surface fluxes usws, vsws, shf, qsws, (qrsws, nrsws) |
---|
| 952 | SUBROUTINE calc_surface_fluxes |
---|
| 953 | |
---|
| 954 | IMPLICIT NONE |
---|
| 955 | |
---|
| 956 | REAL(wp) :: ol_mid !< Grid-interpolated L |
---|
| 957 | |
---|
| 958 | ! |
---|
| 959 | !-- Compute u'w' for the total model domain. |
---|
| 960 | !-- First compute the corresponding component of u* and square it. |
---|
| 961 | !$OMP PARALLEL DO PRIVATE( k, ol_mid, z_mo ) |
---|
[1749] | 962 | !$acc kernels loop present( nzb_u_inner, ol, u, us, usws, zu, zw, z0 ) private( j, k, z_mo ) |
---|
[1691] | 963 | DO i = nxl, nxr |
---|
| 964 | DO j = nys, nyn |
---|
| 965 | |
---|
| 966 | k = nzb_u_inner(j,i) |
---|
| 967 | z_mo = zu(k+1) - zw(k) |
---|
| 968 | ! |
---|
| 969 | !-- Compute bulk Obukhov length for this point |
---|
| 970 | ol_mid = 0.5_wp * ( ol(j,i-1) + ol(j,i) ) |
---|
| 971 | |
---|
| 972 | IF ( ol_mid == 0.0_wp ) THEN |
---|
| 973 | ol_mid = MIN(ol(j,i-1), ol(j,i)) |
---|
| 974 | ENDIF |
---|
| 975 | |
---|
| 976 | usws(j,i) = kappa * ( u(k+1,j,i) - u(k,j,i) ) & |
---|
| 977 | / ( LOG( z_mo / z0(j,i) ) & |
---|
| 978 | - psi_m( z_mo / ol_mid ) & |
---|
| 979 | + psi_m( z0(j,i) / ol_mid ) ) |
---|
| 980 | |
---|
| 981 | usws(j,i) = -usws(j,i) * 0.5_wp * ( us(j,i-1) + us(j,i) ) |
---|
| 982 | ENDDO |
---|
| 983 | ENDDO |
---|
| 984 | |
---|
| 985 | ! |
---|
| 986 | !-- Compute v'w' for the total model domain. |
---|
| 987 | !-- First compute the corresponding component of u* and square it. |
---|
| 988 | !$OMP PARALLEL DO PRIVATE( k, ol_mid, z_mo ) |
---|
[1749] | 989 | !$acc kernels loop present( nzb_v_inner, ol, v, us, vsws, zu, zw, z0 ) private( j, k, ol_mid, z_mo ) |
---|
[1691] | 990 | DO i = nxl, nxr |
---|
| 991 | DO j = nys, nyn |
---|
| 992 | |
---|
| 993 | k = nzb_v_inner(j,i) |
---|
| 994 | z_mo = zu(k+1) - zw(k) |
---|
| 995 | ! |
---|
| 996 | !-- Compute bulk Obukhov length for this point |
---|
| 997 | ol_mid = 0.5_wp * ( ol(j-1,i) + ol(j,i) ) |
---|
| 998 | |
---|
| 999 | IF ( ol_mid == 0.0_wp ) THEN |
---|
| 1000 | ol_mid = MIN(ol(j-1,i), ol(j-1,i)) |
---|
| 1001 | ENDIF |
---|
| 1002 | |
---|
| 1003 | vsws(j,i) = kappa * ( v(k+1,j,i) - v(k,j,i) ) & |
---|
| 1004 | / ( LOG( z_mo / z0(j,i) ) & |
---|
| 1005 | - psi_m( z_mo / ol_mid ) & |
---|
| 1006 | + psi_m( z0(j,i) / ol_mid ) ) |
---|
| 1007 | |
---|
| 1008 | vsws(j,i) = -vsws(j,i) * 0.5_wp * ( us(j,i-1) + us(j,i) ) |
---|
| 1009 | |
---|
| 1010 | ENDDO |
---|
| 1011 | ENDDO |
---|
| 1012 | |
---|
| 1013 | ! |
---|
| 1014 | !-- Exchange the boundaries for the momentum fluxes (is this still required?) |
---|
[1749] | 1015 | !$acc update host( usws, vsws ) |
---|
[1691] | 1016 | CALL exchange_horiz_2d( usws ) |
---|
| 1017 | CALL exchange_horiz_2d( vsws ) |
---|
| 1018 | !$acc update device( usws, vsws ) |
---|
| 1019 | |
---|
| 1020 | ! |
---|
| 1021 | !-- Compute the vertical kinematic heat flux |
---|
[1788] | 1022 | IF ( .NOT. constant_heatflux .AND. ( simulated_time <= & |
---|
| 1023 | skip_time_do_lsm .OR. .NOT. land_surface ) ) THEN |
---|
[1691] | 1024 | !$OMP PARALLEL DO |
---|
[1747] | 1025 | !$acc kernels loop independent present( shf, ts, us ) |
---|
[1691] | 1026 | DO i = nxlg, nxrg |
---|
| 1027 | !$acc loop independent |
---|
| 1028 | DO j = nysg, nyng |
---|
| 1029 | shf(j,i) = -ts(j,i) * us(j,i) |
---|
| 1030 | ENDDO |
---|
| 1031 | ENDDO |
---|
| 1032 | |
---|
| 1033 | ENDIF |
---|
| 1034 | |
---|
| 1035 | ! |
---|
| 1036 | !-- Compute the vertical water/scalar flux |
---|
[1788] | 1037 | IF ( .NOT. constant_waterflux .AND. ( humidity .OR. & |
---|
| 1038 | passive_scalar ) .AND. ( simulated_time <= skip_time_do_lsm & |
---|
| 1039 | .OR. .NOT. land_surface ) ) THEN |
---|
[1691] | 1040 | !$OMP PARALLEL DO |
---|
[1747] | 1041 | !$acc kernels loop independent present( qs, qsws, us ) |
---|
[1691] | 1042 | DO i = nxlg, nxrg |
---|
| 1043 | !$acc loop independent |
---|
| 1044 | DO j = nysg, nyng |
---|
| 1045 | qsws(j,i) = -qs(j,i) * us(j,i) |
---|
| 1046 | ENDDO |
---|
| 1047 | ENDDO |
---|
| 1048 | |
---|
| 1049 | ENDIF |
---|
| 1050 | |
---|
| 1051 | ! |
---|
| 1052 | !-- Compute (turbulent) fluxes of rain water content and rain drop conc. |
---|
[1822] | 1053 | IF ( cloud_physics .AND. microphysics_seifert ) THEN |
---|
[1691] | 1054 | !$OMP PARALLEL DO |
---|
[1747] | 1055 | !$acc kernels loop independent present( nrs, nrsws, qrs, qrsws, us ) |
---|
[1691] | 1056 | DO i = nxlg, nxrg |
---|
| 1057 | !$acc loop independent |
---|
| 1058 | DO j = nysg, nyng |
---|
| 1059 | qrsws(j,i) = -qrs(j,i) * us(j,i) |
---|
| 1060 | nrsws(j,i) = -nrs(j,i) * us(j,i) |
---|
| 1061 | ENDDO |
---|
| 1062 | ENDDO |
---|
| 1063 | ENDIF |
---|
| 1064 | |
---|
| 1065 | ! |
---|
| 1066 | !-- Bottom boundary condition for the TKE |
---|
| 1067 | IF ( ibc_e_b == 2 ) THEN |
---|
| 1068 | !$OMP PARALLEL DO |
---|
[1747] | 1069 | !$acc kernels loop independent present( e, nzb_s_inner, us ) |
---|
[1691] | 1070 | DO i = nxlg, nxrg |
---|
| 1071 | !$acc loop independent |
---|
| 1072 | DO j = nysg, nyng |
---|
[1757] | 1073 | k = nzb_s_inner(j,i) |
---|
| 1074 | e(k+1,j,i) = ( us(j,i) / 0.1_wp )**2 |
---|
[1691] | 1075 | ! |
---|
| 1076 | !-- As a test: cm = 0.4 |
---|
[1757] | 1077 | ! e(k+1,j,i) = ( us(j,i) / 0.4_wp )**2 |
---|
| 1078 | e(k,j,i) = e(k+1,j,i) |
---|
[1691] | 1079 | ENDDO |
---|
| 1080 | ENDDO |
---|
| 1081 | ENDIF |
---|
| 1082 | |
---|
| 1083 | END SUBROUTINE calc_surface_fluxes |
---|
| 1084 | |
---|
| 1085 | |
---|
| 1086 | ! |
---|
| 1087 | !-- Integrated stability function for momentum |
---|
| 1088 | FUNCTION psi_m( zeta ) |
---|
| 1089 | |
---|
| 1090 | USE kinds |
---|
| 1091 | |
---|
| 1092 | IMPLICIT NONE |
---|
| 1093 | |
---|
| 1094 | REAL(wp) :: psi_m !< Integrated similarity function result |
---|
| 1095 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
| 1096 | REAL(wp) :: x !< dummy variable |
---|
| 1097 | |
---|
| 1098 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
| 1099 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
| 1100 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
| 1101 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
| 1102 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
| 1103 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
| 1104 | |
---|
| 1105 | |
---|
| 1106 | IF ( zeta < 0.0_wp ) THEN |
---|
[1788] | 1107 | x = SQRT( SQRT( 1.0_wp - 16.0_wp * zeta ) ) |
---|
[1691] | 1108 | psi_m = pi * 0.5_wp - 2.0_wp * ATAN( x ) + LOG( ( 1.0_wp + x )**2 & |
---|
| 1109 | * ( 1.0_wp + x**2 ) * 0.125_wp ) |
---|
| 1110 | ELSE |
---|
| 1111 | |
---|
| 1112 | psi_m = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - a * zeta & |
---|
| 1113 | - bc_d_d |
---|
| 1114 | ! |
---|
| 1115 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
| 1116 | !-- psi_m = - 5.0_wp * zeta |
---|
| 1117 | |
---|
| 1118 | ENDIF |
---|
| 1119 | |
---|
| 1120 | END FUNCTION psi_m |
---|
| 1121 | |
---|
| 1122 | |
---|
| 1123 | ! |
---|
| 1124 | !-- Integrated stability function for heat and moisture |
---|
| 1125 | FUNCTION psi_h( zeta ) |
---|
| 1126 | |
---|
| 1127 | USE kinds |
---|
| 1128 | |
---|
| 1129 | IMPLICIT NONE |
---|
| 1130 | |
---|
| 1131 | REAL(wp) :: psi_h !< Integrated similarity function result |
---|
| 1132 | REAL(wp) :: zeta !< Stability parameter z/L |
---|
| 1133 | REAL(wp) :: x !< dummy variable |
---|
| 1134 | |
---|
| 1135 | REAL(wp), PARAMETER :: a = 1.0_wp !< constant |
---|
| 1136 | REAL(wp), PARAMETER :: b = 0.66666666666_wp !< constant |
---|
| 1137 | REAL(wp), PARAMETER :: c = 5.0_wp !< constant |
---|
| 1138 | REAL(wp), PARAMETER :: d = 0.35_wp !< constant |
---|
| 1139 | REAL(wp), PARAMETER :: c_d_d = c / d !< constant |
---|
| 1140 | REAL(wp), PARAMETER :: bc_d_d = b * c / d !< constant |
---|
| 1141 | |
---|
| 1142 | |
---|
| 1143 | IF ( zeta < 0.0_wp ) THEN |
---|
[1788] | 1144 | x = SQRT( 1.0_wp - 16.0_wp * zeta ) |
---|
[1691] | 1145 | psi_h = 2.0_wp * LOG( (1.0_wp + x ) / 2.0_wp ) |
---|
| 1146 | ELSE |
---|
| 1147 | psi_h = - b * ( zeta - c_d_d ) * EXP( -d * zeta ) - (1.0_wp & |
---|
| 1148 | + 0.66666666666_wp * a * zeta )**1.5_wp - bc_d_d & |
---|
| 1149 | + 1.0_wp |
---|
| 1150 | ! |
---|
| 1151 | !-- Old version for stable conditions (only valid for z/L < 0.5) |
---|
| 1152 | !-- psi_h = - 5.0_wp * zeta |
---|
| 1153 | ENDIF |
---|
| 1154 | |
---|
| 1155 | END FUNCTION psi_h |
---|
| 1156 | |
---|
[1697] | 1157 | END MODULE surface_layer_fluxes_mod |
---|