| 1 | !> @file plant_canopy_model_mod.f90 |
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| 2 | !------------------------------------------------------------------------------! |
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| 3 | ! This file is part of the PALM model system. |
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| 4 | ! |
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| 5 | ! PALM is free software: you can redistribute it and/or modify it under the |
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| 6 | ! terms of the GNU General Public License as published by the Free Software |
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| 7 | ! Foundation, either version 3 of the License, or (at your option) any later |
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| 8 | ! version. |
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| 9 | ! |
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| 10 | ! PALM is distributed in the hope that it will be useful, but WITHOUT ANY |
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| 11 | ! WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR |
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| 12 | ! A PARTICULAR PURPOSE. See the GNU General Public License for more details. |
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| 13 | ! |
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| 14 | ! You should have received a copy of the GNU General Public License along with |
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| 15 | ! PALM. If not, see <http://www.gnu.org/licenses/>. |
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| 16 | ! |
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| 17 | ! Copyright 1997-2019 Leibniz Universitaet Hannover |
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| 18 | ! Copyright 2017-2019 Institute of Computer Science of the |
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| 19 | ! Czech Academy of Sciences, Prague |
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| 20 | !------------------------------------------------------------------------------! |
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| 21 | ! |
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| 22 | ! Current revisions: |
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| 23 | ! ------------------ |
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| 24 | ! |
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| 25 | ! |
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| 26 | ! Former revisions: |
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| 27 | ! ----------------- |
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| 28 | ! $Id: plant_canopy_model_mod.f90 4346 2019-12-18 11:55:56Z suehring $ |
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| 29 | ! Introduction of wall_flags_total_0, which currently sets bits based on static |
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| 30 | ! topography information used in wall_flags_static_0 |
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| 31 | ! |
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| 32 | ! 4342 2019-12-16 13:49:14Z Giersch |
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| 33 | ! Use statements moved to module level, ocean dependency removed, redundant |
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| 34 | ! variables removed |
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| 35 | ! |
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| 36 | ! 4341 2019-12-16 10:43:49Z motisi |
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| 37 | ! - Unification of variable names: pc_-variables now pcm_-variables |
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| 38 | ! (pc_latent_rate, pc_heating_rate, pc_transpiration_rate) |
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| 39 | ! - Removal of pcm_bowenratio output |
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| 40 | ! - Renamed canopy-mode 'block' to 'homogeneous' |
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| 41 | ! - Renamed value 'read_from_file_3d' to 'read_from_file' |
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| 42 | ! - Removal of confusing comment lines |
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| 43 | ! - Replacement of k_wall by topo_top_ind |
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| 44 | ! - Removal of Else-Statement in tendency-calculation |
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| 45 | ! |
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| 46 | ! 4335 2019-12-12 16:39:05Z suehring |
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| 47 | ! Fix for LAD at building edges also implemented in vector branch. |
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| 48 | ! |
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| 49 | ! 4331 2019-12-10 18:25:02Z suehring |
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| 50 | ! Typo corrected |
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| 51 | ! |
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| 52 | ! 4329 2019-12-10 15:46:36Z motisi |
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| 53 | ! Renamed wall_flags_0 to wall_flags_static_0 |
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| 54 | ! |
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| 55 | ! 4314 2019-11-29 10:29:20Z suehring |
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| 56 | ! - Bugfix, plant canopy was still considered at building edges on for the u- |
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| 57 | ! and v-component. |
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| 58 | ! - Relax restriction of LAD on building tops. LAD is only omitted at |
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| 59 | ! locations where building grid points emerged artificially by the |
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| 60 | ! topography filtering. |
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| 61 | ! |
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| 62 | ! 4309 2019-11-26 18:49:59Z suehring |
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| 63 | ! Typo |
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| 64 | ! |
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| 65 | ! 4302 2019-11-22 13:15:56Z suehring |
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| 66 | ! Omit tall canopy mapped on top of buildings |
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| 67 | ! |
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| 68 | ! 4279 2019-10-29 08:48:17Z scharf |
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| 69 | ! unused variables removed |
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| 70 | ! |
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| 71 | ! 4258 2019-10-07 13:29:08Z scharf |
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| 72 | ! changed check for static driver and fixed bugs in initialization and header |
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| 73 | ! |
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| 74 | ! 4258 2019-10-07 13:29:08Z suehring |
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| 75 | ! Check if any LAD is prescribed when plant-canopy model is applied. |
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| 76 | ! |
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| 77 | ! 4226 2019-09-10 17:03:24Z suehring |
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| 78 | ! Bugfix, missing initialization of heating rate |
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| 79 | ! |
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| 80 | ! 4221 2019-09-09 08:50:35Z suehring |
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| 81 | ! Further bugfix in 3d data output for plant canopy |
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| 82 | ! |
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| 83 | ! 4216 2019-09-04 09:09:03Z suehring |
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| 84 | ! Bugfixes in 3d data output |
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| 85 | ! |
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| 86 | ! 4205 2019-08-30 13:25:00Z suehring |
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| 87 | ! Missing working precision + bugfix in calculation of wind speed |
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| 88 | ! |
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| 89 | ! 4188 2019-08-26 14:15:47Z suehring |
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| 90 | ! Minor adjustment in error number |
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| 91 | ! |
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| 92 | ! 4187 2019-08-26 12:43:15Z suehring |
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| 93 | ! Give specific error numbers instead of PA0999 |
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| 94 | ! |
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| 95 | ! 4182 2019-08-22 15:20:23Z scharf |
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| 96 | ! Corrected "Former revisions" section |
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| 97 | ! |
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| 98 | ! 4168 2019-08-16 13:50:17Z suehring |
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| 99 | ! Replace function get_topography_top_index by topo_top_ind |
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| 100 | ! |
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| 101 | ! 4127 2019-07-30 14:47:10Z suehring |
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| 102 | ! Output of 3D plant canopy variables changed. It is now relative to the local |
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| 103 | ! terrain rather than located at the acutal vertical level in the model. This |
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| 104 | ! way, the vertical dimension of the output can be significantly reduced. |
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| 105 | ! (merge from branch resler) |
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| 106 | ! |
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| 107 | ! 3885 2019-04-11 11:29:34Z kanani |
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| 108 | ! Changes related to global restructuring of location messages and introduction |
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| 109 | ! of additional debug messages |
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| 110 | ! |
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| 111 | ! 3864 2019-04-05 09:01:56Z monakurppa |
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| 112 | ! unsed variables removed |
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| 113 | ! |
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| 114 | ! 3745 2019-02-15 18:57:56Z suehring |
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| 115 | ! Bugfix in transpiration, floating invalid when temperature |
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| 116 | ! becomes > 40 degrees |
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| 117 | ! |
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| 118 | ! 3744 2019-02-15 18:38:58Z suehring |
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| 119 | ! Some interface calls moved to module_interface + cleanup |
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| 120 | ! |
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| 121 | ! 3655 2019-01-07 16:51:22Z knoop |
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| 122 | ! unused variables removed |
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| 123 | ! |
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| 124 | ! 138 2007-11-28 10:03:58Z letzel |
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| 125 | ! Initial revision |
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| 126 | ! |
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| 127 | ! Description: |
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| 128 | ! ------------ |
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| 129 | !> 1) Initialization of the canopy model, e.g. construction of leaf area density |
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| 130 | !> profile (subroutine pcm_init). |
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| 131 | !> 2) Calculation of sinks and sources of momentum, heat and scalar concentration |
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| 132 | !> due to canopy elements (subroutine pcm_tendency). |
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| 133 | ! |
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| 134 | ! @todo - precalculate constant terms in pcm_calc_transpiration_rate |
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| 135 | ! @todo - unify variable names (pcm_, pc_, ...) |
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| 136 | !------------------------------------------------------------------------------! |
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| 137 | MODULE plant_canopy_model_mod |
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| 138 | |
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| 139 | USE arrays_3d, & |
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| 140 | ONLY: dzu, dzw, e, exner, hyp, pt, q, s, tend, u, v, w, zu, zw |
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| 141 | |
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| 142 | USE basic_constants_and_equations_mod, & |
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| 143 | ONLY: c_p, degc_to_k, l_v, lv_d_cp, r_d, rd_d_rv |
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| 144 | |
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| 145 | USE bulk_cloud_model_mod, & |
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| 146 | ONLY: bulk_cloud_model, microphysics_seifert |
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| 147 | |
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| 148 | USE control_parameters, & |
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| 149 | ONLY: average_count_3d, coupling_char, debug_output, dt_3d, dz, & |
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| 150 | humidity, message_string, ocean_mode, passive_scalar, & |
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| 151 | plant_canopy, urban_surface |
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| 152 | |
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| 153 | USE grid_variables, & |
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| 154 | ONLY: dx, dy |
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| 155 | |
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| 156 | USE indices, & |
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| 157 | ONLY: nbgp, nxl, nxlg, nxlu, nxr, nxrg, nyn, nyng, nys, nysg, nysv, & |
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| 158 | nz, nzb, nzt, topo_top_ind, wall_flags_total_0 |
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| 159 | |
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| 160 | USE kinds |
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| 161 | |
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| 162 | USE netcdf_data_input_mod, & |
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| 163 | ONLY: input_pids_static, leaf_area_density_f |
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| 164 | |
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| 165 | USE pegrid |
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| 166 | |
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| 167 | USE surface_mod, & |
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| 168 | ONLY: surf_def_h, surf_lsm_h, surf_usm_h |
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| 169 | |
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| 170 | |
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| 171 | IMPLICIT NONE |
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| 172 | |
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| 173 | CHARACTER (LEN=30) :: canopy_mode = 'homogeneous' !< canopy coverage |
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| 174 | LOGICAL :: plant_canopy_transpiration = .FALSE. !< flag to switch calculation of transpiration and corresponding latent heat |
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| 175 | !< for resolved plant canopy inside radiation model |
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| 176 | !< (calls subroutine pcm_calc_transpiration_rate from module plant_canopy_mod) |
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| 177 | |
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| 178 | INTEGER(iwp) :: pch_index = 0 !< plant canopy height/top index |
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| 179 | INTEGER(iwp) :: lad_vertical_gradient_level_ind(10) = -9999 !< lad-profile levels (index) |
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| 180 | |
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| 181 | INTEGER(iwp), DIMENSION(:,:), ALLOCATABLE :: pch_index_ji !< local plant canopy top |
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| 182 | |
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| 183 | LOGICAL :: calc_beta_lad_profile = .FALSE. !< switch for calc. of lad from beta func. |
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| 184 | |
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| 185 | REAL(wp) :: alpha_lad = 9999999.9_wp !< coefficient for lad calculation |
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| 186 | REAL(wp) :: beta_lad = 9999999.9_wp !< coefficient for lad calculation |
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| 187 | REAL(wp) :: canopy_drag_coeff = 0.0_wp !< canopy drag coefficient (parameter) |
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| 188 | REAL(wp) :: cthf = 0.0_wp !< canopy top heat flux |
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| 189 | REAL(wp) :: dt_plant_canopy = 0.0_wp !< timestep account. for canopy drag |
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| 190 | REAL(wp) :: ext_coef = 0.6_wp !< extinction coefficient |
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| 191 | REAL(wp) :: lad_surface = 0.0_wp !< lad surface value |
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| 192 | REAL(wp) :: lai_beta = 0.0_wp !< leaf area index (lai) for lad calc. |
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| 193 | REAL(wp) :: leaf_scalar_exch_coeff = 0.0_wp !< canopy scalar exchange coeff. |
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| 194 | REAL(wp) :: leaf_surface_conc = 0.0_wp !< leaf surface concentration |
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| 195 | |
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| 196 | REAL(wp) :: lad_vertical_gradient(10) = 0.0_wp !< lad gradient |
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| 197 | REAL(wp) :: lad_vertical_gradient_level(10) = -9999999.9_wp !< lad-prof. levels (in m) |
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| 198 | |
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| 199 | REAL(wp) :: lad_type_coef(0:10) = 1.0_wp !< multiplicative coeficients for particular types |
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| 200 | !< of plant canopy (e.g. deciduous tree during winter) |
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| 201 | |
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| 202 | REAL(wp), DIMENSION(:), ALLOCATABLE :: lad !< leaf area density |
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| 203 | REAL(wp), DIMENSION(:), ALLOCATABLE :: pre_lad !< preliminary lad |
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| 204 | |
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| 205 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: cum_lai_hf !< cumulative lai for heatflux calc. |
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| 206 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: lad_s !< lad on scalar-grid |
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| 207 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_heating_rate !< plant canopy heating rate |
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| 208 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_transpiration_rate !< plant canopy transpiration rate |
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| 209 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_latent_rate !< plant canopy latent heating rate |
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| 210 | |
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| 211 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_heatrate_av !< array for averaging plant canopy sensible heating rate |
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| 212 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_latentrate_av !< array for averaging plant canopy latent heating rate |
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| 213 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: pcm_transpirationrate_av !< array for averaging plant canopy transpiration rate |
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| 214 | |
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| 215 | SAVE |
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| 216 | |
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| 217 | PRIVATE |
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| 218 | |
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| 219 | ! |
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| 220 | !-- Public functions |
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| 221 | PUBLIC pcm_calc_transpiration_rate, pcm_check_data_output, & |
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| 222 | pcm_check_parameters, pcm_3d_data_averaging, & |
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| 223 | pcm_data_output_3d, pcm_define_netcdf_grid, & |
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| 224 | pcm_header, pcm_init, pcm_parin, pcm_tendency |
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| 225 | |
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| 226 | ! |
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| 227 | !-- Public variables and constants |
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| 228 | PUBLIC canopy_drag_coeff, pcm_heating_rate, pcm_transpiration_rate, & |
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| 229 | pcm_latent_rate, canopy_mode, cthf, dt_plant_canopy, lad, lad_s, & |
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| 230 | pch_index, plant_canopy_transpiration |
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| 231 | |
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| 232 | INTERFACE pcm_calc_transpiration_rate |
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| 233 | MODULE PROCEDURE pcm_calc_transpiration_rate |
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| 234 | END INTERFACE pcm_calc_transpiration_rate |
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| 235 | |
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| 236 | INTERFACE pcm_check_data_output |
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| 237 | MODULE PROCEDURE pcm_check_data_output |
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| 238 | END INTERFACE pcm_check_data_output |
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| 239 | |
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| 240 | INTERFACE pcm_check_parameters |
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| 241 | MODULE PROCEDURE pcm_check_parameters |
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| 242 | END INTERFACE pcm_check_parameters |
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| 243 | |
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| 244 | INTERFACE pcm_3d_data_averaging |
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| 245 | MODULE PROCEDURE pcm_3d_data_averaging |
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| 246 | END INTERFACE pcm_3d_data_averaging |
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| 247 | |
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| 248 | INTERFACE pcm_data_output_3d |
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| 249 | MODULE PROCEDURE pcm_data_output_3d |
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| 250 | END INTERFACE pcm_data_output_3d |
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| 251 | |
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| 252 | INTERFACE pcm_define_netcdf_grid |
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| 253 | MODULE PROCEDURE pcm_define_netcdf_grid |
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| 254 | END INTERFACE pcm_define_netcdf_grid |
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| 255 | |
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| 256 | INTERFACE pcm_header |
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| 257 | MODULE PROCEDURE pcm_header |
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| 258 | END INTERFACE pcm_header |
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| 259 | |
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| 260 | INTERFACE pcm_init |
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| 261 | MODULE PROCEDURE pcm_init |
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| 262 | END INTERFACE pcm_init |
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| 263 | |
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| 264 | INTERFACE pcm_parin |
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| 265 | MODULE PROCEDURE pcm_parin |
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| 266 | END INTERFACE pcm_parin |
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| 267 | |
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| 268 | INTERFACE pcm_read_plant_canopy_3d |
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| 269 | MODULE PROCEDURE pcm_read_plant_canopy_3d |
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| 270 | END INTERFACE pcm_read_plant_canopy_3d |
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| 271 | |
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| 272 | INTERFACE pcm_tendency |
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| 273 | MODULE PROCEDURE pcm_tendency |
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| 274 | MODULE PROCEDURE pcm_tendency_ij |
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| 275 | END INTERFACE pcm_tendency |
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| 276 | |
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| 277 | |
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| 278 | CONTAINS |
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| 279 | |
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| 280 | |
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| 281 | !------------------------------------------------------------------------------! |
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| 282 | ! Description: |
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| 283 | ! ------------ |
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| 284 | !> Calculation of the plant canopy transpiration rate based on the Jarvis-Stewart |
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| 285 | !> with parametrizations described in Daudet et al. (1999; Agricult. and Forest |
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| 286 | !> Meteorol. 97) and Ngao, Adam and Saudreau (2017; Agricult. and Forest Meteorol |
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| 287 | !> 237-238). Model functions f1-f4 were adapted from Stewart (1998; Agric. |
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| 288 | !> and Forest. Meteorol. 43) instead, because they are valid for broader intervals |
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| 289 | !> of values. Funcion f4 used in form present in van Wijk et al. (1998; |
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| 290 | !> Tree Physiology 20). |
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| 291 | !> |
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| 292 | !> This subroutine is called from subroutine radiation_interaction |
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| 293 | !> after the calculation of radiation in plant canopy boxes. |
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| 294 | !> (arrays pcbinsw and pcbinlw). |
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| 295 | !> |
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| 296 | !------------------------------------------------------------------------------! |
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| 297 | SUBROUTINE pcm_calc_transpiration_rate(i, j, k, kk, pcbsw, pcblw, pcbtr, pcblh) |
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| 298 | |
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| 299 | ! |
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| 300 | !-- input parameters |
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| 301 | INTEGER(iwp), INTENT(IN) :: i, j, k, kk !< indices of the pc gridbox |
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| 302 | REAL(wp), INTENT(IN) :: pcbsw !< sw radiation in gridbox (W) |
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| 303 | REAL(wp), INTENT(IN) :: pcblw !< lw radiation in gridbox (W) |
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| 304 | REAL(wp), INTENT(OUT) :: pcbtr !< transpiration rate dq/dt (kg/kg/s) |
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| 305 | REAL(wp), INTENT(OUT) :: pcblh !< latent heat from transpiration dT/dt (K/s) |
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| 306 | |
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| 307 | !-- variables and parameters for calculation of transpiration rate |
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| 308 | REAL(wp) :: sat_press, sat_press_d, temp, v_lad |
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| 309 | REAL(wp) :: d_fact, g_b, g_s, wind_speed, evapor_rate |
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| 310 | REAL(wp) :: f1, f2, f3, f4, vpd, rswc, e_eq, e_imp, rad |
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| 311 | REAL(wp), PARAMETER :: gama_psychr = 66.0_wp !< psychrometric constant (Pa/K) |
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| 312 | REAL(wp), PARAMETER :: g_s_max = 0.01 !< maximum stomatal conductivity (m/s) |
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| 313 | REAL(wp), PARAMETER :: m_soil = 0.4_wp !< soil water content (needs to adjust or take from LSM) |
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| 314 | REAL(wp), PARAMETER :: m_wilt = 0.01_wp !< wilting point soil water content (needs to adjust or take from LSM) |
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| 315 | REAL(wp), PARAMETER :: m_sat = 0.51_wp !< saturation soil water content (needs to adjust or take from LSM) |
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| 316 | REAL(wp), PARAMETER :: t2_min = 0.0_wp !< minimal temperature for calculation of f2 |
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| 317 | REAL(wp), PARAMETER :: t2_max = 40.0_wp !< maximal temperature for calculation of f2 |
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| 318 | |
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| 319 | |
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| 320 | !-- Temperature (deg C) |
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| 321 | temp = pt(k,j,i) * exner(k) - degc_to_k |
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| 322 | !-- Coefficient for conversion of radiation to grid to radiation to unit leaves surface |
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| 323 | v_lad = 1.0_wp / ( MAX( lad_s(kk,j,i), 1.0E-10_wp ) * dx * dy * dz(1) ) |
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| 324 | !-- Magnus formula for the saturation pressure (see Ngao, Adam and Saudreau (2017) eq. 1) |
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| 325 | !-- There are updated formulas available, kept consistent with the rest of the parametrization |
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| 326 | sat_press = 610.8_wp * exp(17.27_wp * temp/(temp + 237.3_wp)) |
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| 327 | !-- Saturation pressure derivative (derivative of the above) |
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| 328 | sat_press_d = sat_press * 17.27_wp * 237.3_wp / (temp + 237.3_wp)**2 |
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| 329 | !-- Wind speed |
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| 330 | wind_speed = SQRT( ( 0.5_wp * ( u(k,j,i) + u(k,j,i+1) ) )**2 + & |
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| 331 | ( 0.5_wp * ( v(k,j,i) + v(k,j+1,i) ) )**2 + & |
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| 332 | ( 0.5_wp * ( w(k,j,i) + w(k-1,j,i) ) )**2 ) |
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| 333 | !-- Aerodynamic conductivity (Daudet et al. (1999) eq. 14 |
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| 334 | g_b = 0.01_wp * wind_speed + 0.0071_wp |
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| 335 | !-- Radiation flux per leaf surface unit |
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| 336 | rad = pcbsw * v_lad |
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| 337 | !-- First function for calculation of stomatal conductivity (radiation dependency) |
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| 338 | !-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 17 |
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| 339 | f1 = rad * (1000.0_wp+42.1_wp) / 1000.0_wp / (rad+42.1_wp) |
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| 340 | !-- Second function for calculation of stomatal conductivity (temperature dependency) |
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| 341 | !-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 21 |
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| 342 | f2 = MAX(t2_min, (temp-t2_min) * MAX(0.0_wp,t2_max-temp)**((t2_max-16.9_wp)/(16.9_wp-t2_min)) / & |
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| 343 | ((16.9_wp-t2_min) * (t2_max-16.9_wp)**((t2_max-16.9_wp)/(16.9_wp-t2_min))) ) |
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| 344 | !-- Water pressure deficit |
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| 345 | !-- Ngao, Adam and Saudreau (2017) eq. 6 but with water vapour partial pressure |
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| 346 | vpd = max( sat_press - q(k,j,i) * hyp(k) / rd_d_rv, 0._wp ) |
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| 347 | !-- Third function for calculation of stomatal conductivity (water pressure deficit dependency) |
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| 348 | !-- Ngao, Adam and Saudreau (2017) Table 1, limited from below according to Stewart (1988) |
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| 349 | !-- The coefficients of the linear dependence should better correspond to broad-leaved trees |
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| 350 | !-- than the coefficients from Stewart (1988) which correspond to conifer trees. |
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| 351 | vpd = MIN(MAX(vpd,770.0_wp),3820.0_wp) |
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| 352 | f3 = -2E-4_wp * vpd + 1.154_wp |
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| 353 | !-- Fourth function for calculation of stomatal conductivity (soil moisture dependency) |
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| 354 | !-- Residual soil water content |
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| 355 | !-- van Wijk et al. (1998; Tree Physiology 20) eq. 7 |
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| 356 | !-- TODO - over LSM surface might be calculated from LSM parameters |
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| 357 | rswc = ( m_sat - m_soil ) / ( m_sat - m_wilt ) |
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| 358 | !-- van Wijk et al. (1998; Tree Physiology 20) eq. 5-6 (it is a reformulation of eq. 22-23 of Stewart(1988)) |
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| 359 | f4 = MAX(0.0_wp, MIN(1.0_wp - 0.041_wp * EXP(3.2_wp * rswc), 1.0_wp - 0.041_wp)) |
|---|
| 360 | !-- Stomatal conductivity |
|---|
| 361 | !-- Stewart (1988; Agric. and Forest. Meteorol. 43) eq. 12 |
|---|
| 362 | !-- (notation according to Ngao, Adam and Saudreau (2017) and others) |
|---|
| 363 | g_s = g_s_max * f1 * f2 * f3 * f4 + 1.0E-10_wp |
|---|
| 364 | !-- Decoupling factor |
|---|
| 365 | !-- Daudet et al. (1999) eq. 6 |
|---|
| 366 | d_fact = (sat_press_d / gama_psychr + 2.0_wp ) / & |
|---|
| 367 | (sat_press_d / gama_psychr + 2.0_wp + 2.0_wp * g_b / g_s ) |
|---|
| 368 | !-- Equilibrium evaporation rate |
|---|
| 369 | !-- Daudet et al. (1999) eq. 4 |
|---|
| 370 | e_eq = (pcbsw + pcblw) * v_lad * sat_press_d / & |
|---|
| 371 | gama_psychr /( sat_press_d / gama_psychr + 2.0_wp ) / l_v |
|---|
| 372 | !-- Imposed evaporation rate |
|---|
| 373 | !-- Daudet et al. (1999) eq. 5 |
|---|
| 374 | e_imp = r_d * pt(k,j,i) * exner(k) / hyp(k) * c_p * g_s * vpd / gama_psychr / l_v |
|---|
| 375 | !-- Evaporation rate |
|---|
| 376 | !-- Daudet et al. (1999) eq. 3 |
|---|
| 377 | !-- (evaporation rate is limited to non-negative values) |
|---|
| 378 | evapor_rate = MAX(d_fact * e_eq + ( 1.0_wp - d_fact ) * e_imp, 0.0_wp) |
|---|
| 379 | !-- Conversion of evaporation rate to q tendency in gridbox |
|---|
| 380 | !-- dq/dt = E * LAD * V_g / (rho_air * V_g) |
|---|
| 381 | pcbtr = evapor_rate * r_d * pt(k,j,i) * exner(k) * lad_s(kk,j,i) / hyp(k) !-- = dq/dt |
|---|
| 382 | !-- latent heat from evaporation |
|---|
| 383 | pcblh = pcbtr * lv_d_cp !-- = - dT/dt |
|---|
| 384 | |
|---|
| 385 | END SUBROUTINE pcm_calc_transpiration_rate |
|---|
| 386 | |
|---|
| 387 | |
|---|
| 388 | !------------------------------------------------------------------------------! |
|---|
| 389 | ! Description: |
|---|
| 390 | ! ------------ |
|---|
| 391 | !> Check data output for plant canopy model |
|---|
| 392 | !------------------------------------------------------------------------------! |
|---|
| 393 | SUBROUTINE pcm_check_data_output( var, unit ) |
|---|
| 394 | |
|---|
| 395 | CHARACTER (LEN=*) :: unit !< |
|---|
| 396 | CHARACTER (LEN=*) :: var !< |
|---|
| 397 | |
|---|
| 398 | |
|---|
| 399 | SELECT CASE ( TRIM( var ) ) |
|---|
| 400 | |
|---|
| 401 | CASE ( 'pcm_heatrate' ) |
|---|
| 402 | IF ( cthf == 0.0_wp .AND. .NOT. urban_surface ) THEN |
|---|
| 403 | message_string = 'output of "' // TRIM( var ) // '" requi' // & |
|---|
| 404 | 'res setting of parameter cthf /= 0.0' |
|---|
| 405 | CALL message( 'pcm_check_data_output', 'PA1000', 1, 2, 0, 6, 0 ) |
|---|
| 406 | ENDIF |
|---|
| 407 | unit = 'K s-1' |
|---|
| 408 | |
|---|
| 409 | CASE ( 'pcm_transpirationrate' ) |
|---|
| 410 | unit = 'kg kg-1 s-1' |
|---|
| 411 | |
|---|
| 412 | CASE ( 'pcm_latentrate' ) |
|---|
| 413 | unit = 'K s-1' |
|---|
| 414 | |
|---|
| 415 | CASE ( 'pcm_lad' ) |
|---|
| 416 | unit = 'm2 m-3' |
|---|
| 417 | |
|---|
| 418 | |
|---|
| 419 | CASE DEFAULT |
|---|
| 420 | unit = 'illegal' |
|---|
| 421 | |
|---|
| 422 | END SELECT |
|---|
| 423 | |
|---|
| 424 | |
|---|
| 425 | END SUBROUTINE pcm_check_data_output |
|---|
| 426 | |
|---|
| 427 | |
|---|
| 428 | !------------------------------------------------------------------------------! |
|---|
| 429 | ! Description: |
|---|
| 430 | ! ------------ |
|---|
| 431 | !> Check parameters routine for plant canopy model |
|---|
| 432 | !------------------------------------------------------------------------------! |
|---|
| 433 | SUBROUTINE pcm_check_parameters |
|---|
| 434 | |
|---|
| 435 | IF ( ocean_mode ) THEN |
|---|
| 436 | message_string = 'plant_canopy = .TRUE. is not allowed in the '// & |
|---|
| 437 | 'ocean' |
|---|
| 438 | CALL message( 'pcm_check_parameters', 'PA0696', 1, 2, 0, 6, 0 ) |
|---|
| 439 | ENDIF |
|---|
| 440 | |
|---|
| 441 | IF ( canopy_drag_coeff == 0.0_wp ) THEN |
|---|
| 442 | message_string = 'plant_canopy = .TRUE. requires a non-zero drag '// & |
|---|
| 443 | 'coefficient & given value is canopy_drag_coeff = 0.0' |
|---|
| 444 | CALL message( 'pcm_check_parameters', 'PA0041', 1, 2, 0, 6, 0 ) |
|---|
| 445 | ENDIF |
|---|
| 446 | |
|---|
| 447 | IF ( ( alpha_lad /= 9999999.9_wp .AND. beta_lad == 9999999.9_wp ) .OR.& |
|---|
| 448 | beta_lad /= 9999999.9_wp .AND. alpha_lad == 9999999.9_wp ) THEN |
|---|
| 449 | message_string = 'using the beta function for the construction ' // & |
|---|
| 450 | 'of the leaf area density profile requires ' // & |
|---|
| 451 | 'both alpha_lad and beta_lad to be /= 9999999.9' |
|---|
| 452 | CALL message( 'pcm_check_parameters', 'PA0118', 1, 2, 0, 6, 0 ) |
|---|
| 453 | ENDIF |
|---|
| 454 | |
|---|
| 455 | IF ( calc_beta_lad_profile .AND. lai_beta == 0.0_wp ) THEN |
|---|
| 456 | message_string = 'using the beta function for the construction ' // & |
|---|
| 457 | 'of the leaf area density profile requires ' // & |
|---|
| 458 | 'a non-zero lai_beta, but given value is ' // & |
|---|
| 459 | 'lai_beta = 0.0' |
|---|
| 460 | CALL message( 'pcm_check_parameters', 'PA0119', 1, 2, 0, 6, 0 ) |
|---|
| 461 | ENDIF |
|---|
| 462 | |
|---|
| 463 | IF ( calc_beta_lad_profile .AND. lad_surface /= 0.0_wp ) THEN |
|---|
| 464 | message_string = 'simultaneous setting of alpha_lad /= 9999999.9 '// & |
|---|
| 465 | 'combined with beta_lad /= 9999999.9 ' // & |
|---|
| 466 | 'and lad_surface /= 0.0 is not possible, ' // & |
|---|
| 467 | 'use either vertical gradients or the beta ' // & |
|---|
| 468 | 'function for the construction of the leaf area '// & |
|---|
| 469 | 'density profile' |
|---|
| 470 | CALL message( 'pcm_check_parameters', 'PA0120', 1, 2, 0, 6, 0 ) |
|---|
| 471 | ENDIF |
|---|
| 472 | |
|---|
| 473 | IF ( bulk_cloud_model .AND. microphysics_seifert ) THEN |
|---|
| 474 | message_string = 'plant_canopy = .TRUE. requires cloud_scheme /=' // & |
|---|
| 475 | ' seifert_beheng' |
|---|
| 476 | CALL message( 'pcm_check_parameters', 'PA0360', 1, 2, 0, 6, 0 ) |
|---|
| 477 | ENDIF |
|---|
| 478 | ! |
|---|
| 479 | !-- If canopy shall be read from file, static input file must be present |
|---|
| 480 | IF ( TRIM( canopy_mode ) == 'read_from_file' .AND. & |
|---|
| 481 | .NOT. input_pids_static ) THEN |
|---|
| 482 | message_string = 'canopy_mode = read_from_file requires ' // & |
|---|
| 483 | 'static input file' |
|---|
| 484 | CALL message( 'pcm_check_parameters', 'PA0672', 1, 2, 0, 6, 0 ) |
|---|
| 485 | ENDIF |
|---|
| 486 | |
|---|
| 487 | END SUBROUTINE pcm_check_parameters |
|---|
| 488 | |
|---|
| 489 | |
|---|
| 490 | !------------------------------------------------------------------------------! |
|---|
| 491 | ! |
|---|
| 492 | ! Description: |
|---|
| 493 | ! ------------ |
|---|
| 494 | !> Subroutine for averaging 3D data |
|---|
| 495 | !------------------------------------------------------------------------------! |
|---|
| 496 | SUBROUTINE pcm_3d_data_averaging( mode, variable ) |
|---|
| 497 | |
|---|
| 498 | CHARACTER (LEN=*) :: mode !< |
|---|
| 499 | CHARACTER (LEN=*) :: variable !< |
|---|
| 500 | |
|---|
| 501 | INTEGER(iwp) :: i !< |
|---|
| 502 | INTEGER(iwp) :: j !< |
|---|
| 503 | INTEGER(iwp) :: k !< |
|---|
| 504 | |
|---|
| 505 | |
|---|
| 506 | IF ( mode == 'allocate' ) THEN |
|---|
| 507 | |
|---|
| 508 | SELECT CASE ( TRIM( variable ) ) |
|---|
| 509 | |
|---|
| 510 | CASE ( 'pcm_heatrate' ) |
|---|
| 511 | IF ( .NOT. ALLOCATED( pcm_heatrate_av ) ) THEN |
|---|
| 512 | ALLOCATE( pcm_heatrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 513 | ENDIF |
|---|
| 514 | pcm_heatrate_av = 0.0_wp |
|---|
| 515 | |
|---|
| 516 | |
|---|
| 517 | CASE ( 'pcm_latentrate' ) |
|---|
| 518 | IF ( .NOT. ALLOCATED( pcm_latentrate_av ) ) THEN |
|---|
| 519 | ALLOCATE( pcm_latentrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 520 | ENDIF |
|---|
| 521 | pcm_latentrate_av = 0.0_wp |
|---|
| 522 | |
|---|
| 523 | |
|---|
| 524 | CASE ( 'pcm_transpirationrate' ) |
|---|
| 525 | IF ( .NOT. ALLOCATED( pcm_transpirationrate_av ) ) THEN |
|---|
| 526 | ALLOCATE( pcm_transpirationrate_av(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 527 | ENDIF |
|---|
| 528 | pcm_transpirationrate_av = 0.0_wp |
|---|
| 529 | |
|---|
| 530 | CASE DEFAULT |
|---|
| 531 | CONTINUE |
|---|
| 532 | |
|---|
| 533 | END SELECT |
|---|
| 534 | |
|---|
| 535 | ELSEIF ( mode == 'sum' ) THEN |
|---|
| 536 | |
|---|
| 537 | SELECT CASE ( TRIM( variable ) ) |
|---|
| 538 | |
|---|
| 539 | CASE ( 'pcm_heatrate' ) |
|---|
| 540 | IF ( ALLOCATED( pcm_heatrate_av ) ) THEN |
|---|
| 541 | DO i = nxl, nxr |
|---|
| 542 | DO j = nys, nyn |
|---|
| 543 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 544 | DO k = 0, pch_index_ji(j,i) |
|---|
| 545 | pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) + pcm_heating_rate(k,j,i) |
|---|
| 546 | ENDDO |
|---|
| 547 | ENDIF |
|---|
| 548 | ENDDO |
|---|
| 549 | ENDDO |
|---|
| 550 | ENDIF |
|---|
| 551 | |
|---|
| 552 | |
|---|
| 553 | CASE ( 'pcm_latentrate' ) |
|---|
| 554 | IF ( ALLOCATED( pcm_latentrate_av ) ) THEN |
|---|
| 555 | DO i = nxl, nxr |
|---|
| 556 | DO j = nys, nyn |
|---|
| 557 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 558 | DO k = 0, pch_index_ji(j,i) |
|---|
| 559 | pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) + pcm_latent_rate(k,j,i) |
|---|
| 560 | ENDDO |
|---|
| 561 | ENDIF |
|---|
| 562 | ENDDO |
|---|
| 563 | ENDDO |
|---|
| 564 | ENDIF |
|---|
| 565 | |
|---|
| 566 | |
|---|
| 567 | CASE ( 'pcm_transpirationrate' ) |
|---|
| 568 | IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN |
|---|
| 569 | DO i = nxl, nxr |
|---|
| 570 | DO j = nys, nyn |
|---|
| 571 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 572 | DO k = 0, pch_index_ji(j,i) |
|---|
| 573 | pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) + pcm_transpiration_rate(k,j,i) |
|---|
| 574 | ENDDO |
|---|
| 575 | ENDIF |
|---|
| 576 | ENDDO |
|---|
| 577 | ENDDO |
|---|
| 578 | ENDIF |
|---|
| 579 | |
|---|
| 580 | CASE DEFAULT |
|---|
| 581 | CONTINUE |
|---|
| 582 | |
|---|
| 583 | END SELECT |
|---|
| 584 | |
|---|
| 585 | ELSEIF ( mode == 'average' ) THEN |
|---|
| 586 | |
|---|
| 587 | SELECT CASE ( TRIM( variable ) ) |
|---|
| 588 | |
|---|
| 589 | CASE ( 'pcm_heatrate' ) |
|---|
| 590 | IF ( ALLOCATED( pcm_heatrate_av ) ) THEN |
|---|
| 591 | DO i = nxlg, nxrg |
|---|
| 592 | DO j = nysg, nyng |
|---|
| 593 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 594 | DO k = 0, pch_index_ji(j,i) |
|---|
| 595 | pcm_heatrate_av(k,j,i) = pcm_heatrate_av(k,j,i) & |
|---|
| 596 | / REAL( average_count_3d, KIND=wp ) |
|---|
| 597 | ENDDO |
|---|
| 598 | ENDIF |
|---|
| 599 | ENDDO |
|---|
| 600 | ENDDO |
|---|
| 601 | ENDIF |
|---|
| 602 | |
|---|
| 603 | |
|---|
| 604 | CASE ( 'pcm_latentrate' ) |
|---|
| 605 | IF ( ALLOCATED( pcm_latentrate_av ) ) THEN |
|---|
| 606 | DO i = nxlg, nxrg |
|---|
| 607 | DO j = nysg, nyng |
|---|
| 608 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 609 | DO k = 0, pch_index_ji(j,i) |
|---|
| 610 | pcm_latentrate_av(k,j,i) = pcm_latentrate_av(k,j,i) & |
|---|
| 611 | / REAL( average_count_3d, KIND=wp ) |
|---|
| 612 | ENDDO |
|---|
| 613 | ENDIF |
|---|
| 614 | ENDDO |
|---|
| 615 | ENDDO |
|---|
| 616 | ENDIF |
|---|
| 617 | |
|---|
| 618 | |
|---|
| 619 | CASE ( 'pcm_transpirationrate' ) |
|---|
| 620 | IF ( ALLOCATED( pcm_transpirationrate_av ) ) THEN |
|---|
| 621 | DO i = nxlg, nxrg |
|---|
| 622 | DO j = nysg, nyng |
|---|
| 623 | IF ( pch_index_ji(j,i) /= 0 ) THEN |
|---|
| 624 | DO k = 0, pch_index_ji(j,i) |
|---|
| 625 | pcm_transpirationrate_av(k,j,i) = pcm_transpirationrate_av(k,j,i) & |
|---|
| 626 | / REAL( average_count_3d, KIND=wp ) |
|---|
| 627 | ENDDO |
|---|
| 628 | ENDIF |
|---|
| 629 | ENDDO |
|---|
| 630 | ENDDO |
|---|
| 631 | ENDIF |
|---|
| 632 | |
|---|
| 633 | END SELECT |
|---|
| 634 | |
|---|
| 635 | ENDIF |
|---|
| 636 | |
|---|
| 637 | END SUBROUTINE pcm_3d_data_averaging |
|---|
| 638 | |
|---|
| 639 | !------------------------------------------------------------------------------! |
|---|
| 640 | ! |
|---|
| 641 | ! Description: |
|---|
| 642 | ! ------------ |
|---|
| 643 | !> Subroutine defining 3D output variables. |
|---|
| 644 | !> Note, 3D plant-canopy output has it's own vertical output dimension, meaning |
|---|
| 645 | !> that 3D output is relative to the model surface now rather than at the actual |
|---|
| 646 | !> grid point where the plant canopy is located. |
|---|
| 647 | !------------------------------------------------------------------------------! |
|---|
| 648 | SUBROUTINE pcm_data_output_3d( av, variable, found, local_pf, fill_value, & |
|---|
| 649 | nzb_do, nzt_do ) |
|---|
| 650 | |
|---|
| 651 | CHARACTER (LEN=*) :: variable !< treated variable |
|---|
| 652 | |
|---|
| 653 | INTEGER(iwp) :: av !< flag indicating instantaneous or averaged data output |
|---|
| 654 | INTEGER(iwp) :: i !< grid index x-direction |
|---|
| 655 | INTEGER(iwp) :: j !< grid index y-direction |
|---|
| 656 | INTEGER(iwp) :: k !< grid index z-direction |
|---|
| 657 | INTEGER(iwp) :: nzb_do !< lower limit of the data output (usually 0) |
|---|
| 658 | INTEGER(iwp) :: nzt_do !< vertical upper limit of the data output (usually nz_do3d) |
|---|
| 659 | |
|---|
| 660 | LOGICAL :: found !< flag indicating if variable is found |
|---|
| 661 | |
|---|
| 662 | REAL(wp) :: fill_value !< fill value |
|---|
| 663 | REAL(sp), DIMENSION(nxl:nxr,nys:nyn,nzb_do:nzt_do) :: local_pf !< data output array |
|---|
| 664 | |
|---|
| 665 | |
|---|
| 666 | found = .TRUE. |
|---|
| 667 | |
|---|
| 668 | local_pf = REAL( fill_value, KIND = 4 ) |
|---|
| 669 | |
|---|
| 670 | SELECT CASE ( TRIM( variable ) ) |
|---|
| 671 | ! |
|---|
| 672 | !-- Note, to save memory arrays for heating are allocated from 0:pch_index. |
|---|
| 673 | !-- Thus, output must be relative to these array indices. Further, check |
|---|
| 674 | !-- whether the output is within the vertical output range, |
|---|
| 675 | !-- i.e. nzb_do:nzt_do, which is necessary as local_pf is only allocated |
|---|
| 676 | !-- for this index space. Note, plant-canopy output has a separate |
|---|
| 677 | !-- vertical output coordinate zlad, so that output is mapped down to the |
|---|
| 678 | !-- surface. |
|---|
| 679 | CASE ( 'pcm_heatrate' ) |
|---|
| 680 | IF ( av == 0 ) THEN |
|---|
| 681 | DO i = nxl, nxr |
|---|
| 682 | DO j = nys, nyn |
|---|
| 683 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 684 | local_pf(i,j,k) = pcm_heating_rate(k,j,i) |
|---|
| 685 | ENDDO |
|---|
| 686 | ENDDO |
|---|
| 687 | ENDDO |
|---|
| 688 | ELSE |
|---|
| 689 | DO i = nxl, nxr |
|---|
| 690 | DO j = nys, nyn |
|---|
| 691 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 692 | local_pf(i,j,k) = pcm_heatrate_av(k,j,i) |
|---|
| 693 | ENDDO |
|---|
| 694 | ENDDO |
|---|
| 695 | ENDDO |
|---|
| 696 | ENDIF |
|---|
| 697 | |
|---|
| 698 | CASE ( 'pcm_latentrate' ) |
|---|
| 699 | IF ( av == 0 ) THEN |
|---|
| 700 | DO i = nxl, nxr |
|---|
| 701 | DO j = nys, nyn |
|---|
| 702 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 703 | local_pf(i,j,k) = pcm_latent_rate(k,j,i) |
|---|
| 704 | ENDDO |
|---|
| 705 | ENDDO |
|---|
| 706 | ENDDO |
|---|
| 707 | ELSE |
|---|
| 708 | DO i = nxl, nxr |
|---|
| 709 | DO j = nys, nyn |
|---|
| 710 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 711 | local_pf(i,j,k) = pcm_latentrate_av(k,j,i) |
|---|
| 712 | ENDDO |
|---|
| 713 | ENDDO |
|---|
| 714 | ENDDO |
|---|
| 715 | ENDIF |
|---|
| 716 | |
|---|
| 717 | CASE ( 'pcm_transpirationrate' ) |
|---|
| 718 | IF ( av == 0 ) THEN |
|---|
| 719 | DO i = nxl, nxr |
|---|
| 720 | DO j = nys, nyn |
|---|
| 721 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 722 | local_pf(i,j,k) = pcm_transpiration_rate(k,j,i) |
|---|
| 723 | ENDDO |
|---|
| 724 | ENDDO |
|---|
| 725 | ENDDO |
|---|
| 726 | ELSE |
|---|
| 727 | DO i = nxl, nxr |
|---|
| 728 | DO j = nys, nyn |
|---|
| 729 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 730 | local_pf(i,j,k) = pcm_transpirationrate_av(k,j,i) |
|---|
| 731 | ENDDO |
|---|
| 732 | ENDDO |
|---|
| 733 | ENDDO |
|---|
| 734 | ENDIF |
|---|
| 735 | |
|---|
| 736 | CASE ( 'pcm_lad' ) |
|---|
| 737 | IF ( av == 0 ) THEN |
|---|
| 738 | DO i = nxl, nxr |
|---|
| 739 | DO j = nys, nyn |
|---|
| 740 | DO k = MAX( 1, nzb_do ), MIN( pch_index, nzt_do ) |
|---|
| 741 | local_pf(i,j,k) = lad_s(k,j,i) |
|---|
| 742 | ENDDO |
|---|
| 743 | ENDDO |
|---|
| 744 | ENDDO |
|---|
| 745 | ENDIF |
|---|
| 746 | |
|---|
| 747 | CASE DEFAULT |
|---|
| 748 | found = .FALSE. |
|---|
| 749 | |
|---|
| 750 | END SELECT |
|---|
| 751 | |
|---|
| 752 | END SUBROUTINE pcm_data_output_3d |
|---|
| 753 | |
|---|
| 754 | !------------------------------------------------------------------------------! |
|---|
| 755 | ! |
|---|
| 756 | ! Description: |
|---|
| 757 | ! ------------ |
|---|
| 758 | !> Subroutine defining appropriate grid for netcdf variables. |
|---|
| 759 | !> It is called from subroutine netcdf. |
|---|
| 760 | !------------------------------------------------------------------------------! |
|---|
| 761 | SUBROUTINE pcm_define_netcdf_grid( var, found, grid_x, grid_y, grid_z ) |
|---|
| 762 | |
|---|
| 763 | CHARACTER (LEN=*), INTENT(IN) :: var !< |
|---|
| 764 | LOGICAL, INTENT(OUT) :: found !< |
|---|
| 765 | CHARACTER (LEN=*), INTENT(OUT) :: grid_x !< |
|---|
| 766 | CHARACTER (LEN=*), INTENT(OUT) :: grid_y !< |
|---|
| 767 | CHARACTER (LEN=*), INTENT(OUT) :: grid_z !< |
|---|
| 768 | |
|---|
| 769 | found = .TRUE. |
|---|
| 770 | |
|---|
| 771 | ! |
|---|
| 772 | !-- Check for the grid. zpc is zu(nzb:nzb+pch_index) |
|---|
| 773 | SELECT CASE ( TRIM( var ) ) |
|---|
| 774 | |
|---|
| 775 | CASE ( 'pcm_heatrate', 'pcm_lad', 'pcm_transpirationrate', 'pcm_latentrate') |
|---|
| 776 | grid_x = 'x' |
|---|
| 777 | grid_y = 'y' |
|---|
| 778 | grid_z = 'zpc' |
|---|
| 779 | |
|---|
| 780 | CASE DEFAULT |
|---|
| 781 | found = .FALSE. |
|---|
| 782 | grid_x = 'none' |
|---|
| 783 | grid_y = 'none' |
|---|
| 784 | grid_z = 'none' |
|---|
| 785 | END SELECT |
|---|
| 786 | |
|---|
| 787 | END SUBROUTINE pcm_define_netcdf_grid |
|---|
| 788 | |
|---|
| 789 | |
|---|
| 790 | !------------------------------------------------------------------------------! |
|---|
| 791 | ! Description: |
|---|
| 792 | ! ------------ |
|---|
| 793 | !> Header output for plant canopy model |
|---|
| 794 | !------------------------------------------------------------------------------! |
|---|
| 795 | SUBROUTINE pcm_header ( io ) |
|---|
| 796 | |
|---|
| 797 | CHARACTER (LEN=10) :: coor_chr !< |
|---|
| 798 | |
|---|
| 799 | CHARACTER (LEN=86) :: coordinates !< |
|---|
| 800 | CHARACTER (LEN=86) :: gradients !< |
|---|
| 801 | CHARACTER (LEN=86) :: leaf_area_density !< |
|---|
| 802 | CHARACTER (LEN=86) :: slices !< |
|---|
| 803 | |
|---|
| 804 | INTEGER(iwp) :: i !< |
|---|
| 805 | INTEGER(iwp), INTENT(IN) :: io !< Unit of the output file |
|---|
| 806 | INTEGER(iwp) :: k !< |
|---|
| 807 | |
|---|
| 808 | REAL(wp) :: canopy_height !< canopy height (in m) |
|---|
| 809 | |
|---|
| 810 | canopy_height = zw(pch_index) |
|---|
| 811 | |
|---|
| 812 | WRITE ( io, 1 ) canopy_mode, canopy_height, pch_index, & |
|---|
| 813 | canopy_drag_coeff |
|---|
| 814 | IF ( passive_scalar ) THEN |
|---|
| 815 | WRITE ( io, 2 ) leaf_scalar_exch_coeff, & |
|---|
| 816 | leaf_surface_conc |
|---|
| 817 | ENDIF |
|---|
| 818 | |
|---|
| 819 | ! |
|---|
| 820 | !-- Heat flux at the top of vegetation |
|---|
| 821 | WRITE ( io, 3 ) cthf |
|---|
| 822 | |
|---|
| 823 | ! |
|---|
| 824 | !-- Leaf area density profile, calculated either from given vertical |
|---|
| 825 | !-- gradients or from beta probability density function. |
|---|
| 826 | IF ( .NOT. calc_beta_lad_profile ) THEN |
|---|
| 827 | |
|---|
| 828 | !-- Building output strings, starting with surface value |
|---|
| 829 | WRITE ( leaf_area_density, '(F7.4)' ) lad_surface |
|---|
| 830 | gradients = '------' |
|---|
| 831 | slices = ' 0' |
|---|
| 832 | coordinates = ' 0.0' |
|---|
| 833 | DO i = 1, UBOUND(lad_vertical_gradient_level_ind, DIM=1) |
|---|
| 834 | IF ( lad_vertical_gradient_level_ind(i) /= -9999 ) THEN |
|---|
| 835 | |
|---|
| 836 | WRITE (coor_chr,'(F7.2)') lad(lad_vertical_gradient_level_ind(i)) |
|---|
| 837 | leaf_area_density = TRIM( leaf_area_density ) // ' ' // TRIM( coor_chr ) |
|---|
| 838 | |
|---|
| 839 | WRITE (coor_chr,'(F7.2)') lad_vertical_gradient(i) |
|---|
| 840 | gradients = TRIM( gradients ) // ' ' // TRIM( coor_chr ) |
|---|
| 841 | |
|---|
| 842 | WRITE (coor_chr,'(I7)') lad_vertical_gradient_level_ind(i) |
|---|
| 843 | slices = TRIM( slices ) // ' ' // TRIM( coor_chr ) |
|---|
| 844 | |
|---|
| 845 | WRITE (coor_chr,'(F7.1)') lad_vertical_gradient_level(i) |
|---|
| 846 | coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr ) |
|---|
| 847 | ELSE |
|---|
| 848 | EXIT |
|---|
| 849 | ENDIF |
|---|
| 850 | ENDDO |
|---|
| 851 | |
|---|
| 852 | WRITE ( io, 4 ) TRIM( coordinates ), TRIM( leaf_area_density ), & |
|---|
| 853 | TRIM( gradients ), TRIM( slices ) |
|---|
| 854 | |
|---|
| 855 | ELSE |
|---|
| 856 | |
|---|
| 857 | WRITE ( leaf_area_density, '(F7.4)' ) lad_surface |
|---|
| 858 | coordinates = ' 0.0' |
|---|
| 859 | |
|---|
| 860 | DO k = 1, pch_index |
|---|
| 861 | |
|---|
| 862 | WRITE (coor_chr,'(F7.2)') lad(k) |
|---|
| 863 | leaf_area_density = TRIM( leaf_area_density ) // ' ' // & |
|---|
| 864 | TRIM( coor_chr ) |
|---|
| 865 | |
|---|
| 866 | WRITE (coor_chr,'(F7.1)') zu(k) |
|---|
| 867 | coordinates = TRIM( coordinates ) // ' ' // TRIM( coor_chr ) |
|---|
| 868 | |
|---|
| 869 | ENDDO |
|---|
| 870 | |
|---|
| 871 | WRITE ( io, 5 ) TRIM( coordinates ), TRIM( leaf_area_density ), & |
|---|
| 872 | alpha_lad, beta_lad, lai_beta |
|---|
| 873 | |
|---|
| 874 | ENDIF |
|---|
| 875 | |
|---|
| 876 | 1 FORMAT (//' Vegetation canopy (drag) model:'/ & |
|---|
| 877 | ' ------------------------------'// & |
|---|
| 878 | ' Canopy mode: ', A / & |
|---|
| 879 | ' Canopy height: ',F6.2,'m (',I4,' grid points)' / & |
|---|
| 880 | ' Leaf drag coefficient: ',F6.2 /) |
|---|
| 881 | 2 FORMAT (/ ' Scalar exchange coefficient: ',F6.2 / & |
|---|
| 882 | ' Scalar concentration at leaf surfaces in kg/m**3: ',F6.2 /) |
|---|
| 883 | 3 FORMAT (' Predefined constant heatflux at the top of the vegetation: ',F6.2, & |
|---|
| 884 | ' K m/s') |
|---|
| 885 | 4 FORMAT (/ ' Characteristic levels of the leaf area density:'// & |
|---|
| 886 | ' Height: ',A,' m'/ & |
|---|
| 887 | ' Leaf area density: ',A,' m**2/m**3'/ & |
|---|
| 888 | ' Gradient: ',A,' m**2/m**4'/ & |
|---|
| 889 | ' Gridpoint: ',A) |
|---|
| 890 | 5 FORMAT (//' Characteristic levels of the leaf area density and coefficients:'& |
|---|
| 891 | // ' Height: ',A,' m'/ & |
|---|
| 892 | ' Leaf area density: ',A,' m**2/m**3'/ & |
|---|
| 893 | ' Coefficient alpha: ',F6.2 / & |
|---|
| 894 | ' Coefficient beta: ',F6.2 / & |
|---|
| 895 | ' Leaf area index: ',F6.2,' m**2/m**2' /) |
|---|
| 896 | |
|---|
| 897 | END SUBROUTINE pcm_header |
|---|
| 898 | |
|---|
| 899 | |
|---|
| 900 | !------------------------------------------------------------------------------! |
|---|
| 901 | ! Description: |
|---|
| 902 | ! ------------ |
|---|
| 903 | !> Initialization of the plant canopy model |
|---|
| 904 | !------------------------------------------------------------------------------! |
|---|
| 905 | SUBROUTINE pcm_init |
|---|
| 906 | |
|---|
| 907 | INTEGER(iwp) :: i !< running index |
|---|
| 908 | INTEGER(iwp) :: j !< running index |
|---|
| 909 | INTEGER(iwp) :: k !< running index |
|---|
| 910 | INTEGER(iwp) :: m !< running index |
|---|
| 911 | |
|---|
| 912 | REAL(wp) :: canopy_height !< canopy height for lad-profile construction |
|---|
| 913 | REAL(wp) :: gradient !< gradient for lad-profile construction |
|---|
| 914 | REAL(wp) :: int_bpdf !< vertical integral for lad-profile construction |
|---|
| 915 | REAL(wp) :: lad_max !< maximum LAD value in the model domain, used to perform a check |
|---|
| 916 | |
|---|
| 917 | IF ( debug_output ) CALL debug_message( 'pcm_init', 'start' ) |
|---|
| 918 | ! |
|---|
| 919 | !-- Allocate one-dimensional arrays for the computation of the |
|---|
| 920 | !-- leaf area density (lad) profile |
|---|
| 921 | ALLOCATE( lad(0:nz+1), pre_lad(0:nz+1) ) |
|---|
| 922 | lad = 0.0_wp |
|---|
| 923 | pre_lad = 0.0_wp |
|---|
| 924 | |
|---|
| 925 | ! |
|---|
| 926 | !-- Set flag that indicates that the lad-profile shall be calculated by using |
|---|
| 927 | !-- a beta probability density function |
|---|
| 928 | IF ( alpha_lad /= 9999999.9_wp .AND. beta_lad /= 9999999.9_wp ) THEN |
|---|
| 929 | calc_beta_lad_profile = .TRUE. |
|---|
| 930 | ENDIF |
|---|
| 931 | |
|---|
| 932 | |
|---|
| 933 | ! |
|---|
| 934 | !-- Compute the profile of leaf area density used in the plant |
|---|
| 935 | !-- canopy model. The profile can either be constructed from |
|---|
| 936 | !-- prescribed vertical gradients of the leaf area density or by |
|---|
| 937 | !-- using a beta probability density function (see e.g. Markkanen et al., |
|---|
| 938 | !-- 2003: Boundary-Layer Meteorology, 106, 437-459) |
|---|
| 939 | IF ( .NOT. calc_beta_lad_profile ) THEN |
|---|
| 940 | |
|---|
| 941 | ! |
|---|
| 942 | !-- Use vertical gradients for lad-profile construction |
|---|
| 943 | i = 1 |
|---|
| 944 | gradient = 0.0_wp |
|---|
| 945 | |
|---|
| 946 | lad(0) = lad_surface |
|---|
| 947 | lad_vertical_gradient_level_ind(1) = 0 |
|---|
| 948 | |
|---|
| 949 | DO k = 1, pch_index |
|---|
| 950 | IF ( i < 11 ) THEN |
|---|
| 951 | IF ( lad_vertical_gradient_level(i) < zu(k) .AND. & |
|---|
| 952 | lad_vertical_gradient_level(i) >= 0.0_wp ) THEN |
|---|
| 953 | gradient = lad_vertical_gradient(i) |
|---|
| 954 | lad_vertical_gradient_level_ind(i) = k - 1 |
|---|
| 955 | i = i + 1 |
|---|
| 956 | ENDIF |
|---|
| 957 | ENDIF |
|---|
| 958 | IF ( gradient /= 0.0_wp ) THEN |
|---|
| 959 | IF ( k /= 1 ) THEN |
|---|
| 960 | lad(k) = lad(k-1) + dzu(k) * gradient |
|---|
| 961 | ELSE |
|---|
| 962 | lad(k) = lad_surface + dzu(k) * gradient |
|---|
| 963 | ENDIF |
|---|
| 964 | ELSE |
|---|
| 965 | lad(k) = lad(k-1) |
|---|
| 966 | ENDIF |
|---|
| 967 | ENDDO |
|---|
| 968 | |
|---|
| 969 | ! |
|---|
| 970 | !-- In case of no given leaf area density gradients, choose a vanishing |
|---|
| 971 | !-- gradient. This information is used for the HEADER and the RUN_CONTROL |
|---|
| 972 | !-- file. |
|---|
| 973 | IF ( lad_vertical_gradient_level(1) == -9999999.9_wp ) THEN |
|---|
| 974 | lad_vertical_gradient_level(1) = 0.0_wp |
|---|
| 975 | ENDIF |
|---|
| 976 | |
|---|
| 977 | ELSE |
|---|
| 978 | |
|---|
| 979 | ! |
|---|
| 980 | !-- Use beta function for lad-profile construction |
|---|
| 981 | int_bpdf = 0.0_wp |
|---|
| 982 | canopy_height = zw(pch_index) |
|---|
| 983 | |
|---|
| 984 | DO k = 0, pch_index |
|---|
| 985 | int_bpdf = int_bpdf + & |
|---|
| 986 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) * & |
|---|
| 987 | ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( & |
|---|
| 988 | beta_lad-1.0_wp ) ) & |
|---|
| 989 | * ( ( zw(k+1)-zw(k) ) / canopy_height ) ) |
|---|
| 990 | ENDDO |
|---|
| 991 | |
|---|
| 992 | ! |
|---|
| 993 | !-- Preliminary lad profile (defined on w-grid) |
|---|
| 994 | DO k = 0, pch_index |
|---|
| 995 | pre_lad(k) = lai_beta * & |
|---|
| 996 | ( ( ( zw(k) / canopy_height )**( alpha_lad-1.0_wp ) ) & |
|---|
| 997 | * ( ( 1.0_wp - ( zw(k) / canopy_height ) )**( & |
|---|
| 998 | beta_lad-1.0_wp ) ) / int_bpdf & |
|---|
| 999 | ) / canopy_height |
|---|
| 1000 | ENDDO |
|---|
| 1001 | |
|---|
| 1002 | ! |
|---|
| 1003 | !-- Final lad profile (defined on scalar-grid level, since most prognostic |
|---|
| 1004 | !-- quantities are defined there, hence, less interpolation is required |
|---|
| 1005 | !-- when calculating the canopy tendencies) |
|---|
| 1006 | lad(0) = pre_lad(0) |
|---|
| 1007 | DO k = 1, pch_index |
|---|
| 1008 | lad(k) = 0.5 * ( pre_lad(k-1) + pre_lad(k) ) |
|---|
| 1009 | ENDDO |
|---|
| 1010 | |
|---|
| 1011 | ENDIF |
|---|
| 1012 | |
|---|
| 1013 | ! |
|---|
| 1014 | !-- Allocate 3D-array for the leaf area density (lad_s). |
|---|
| 1015 | ALLOCATE( lad_s(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 1016 | |
|---|
| 1017 | ! |
|---|
| 1018 | !-- Initialization of the canopy coverage in the model domain: |
|---|
| 1019 | !-- Setting the parameter canopy_mode = 'homogeneous' initializes a canopy, which |
|---|
| 1020 | !-- fully covers the domain surface |
|---|
| 1021 | SELECT CASE ( TRIM( canopy_mode ) ) |
|---|
| 1022 | |
|---|
| 1023 | CASE( 'homogeneous' ) |
|---|
| 1024 | |
|---|
| 1025 | DO i = nxlg, nxrg |
|---|
| 1026 | DO j = nysg, nyng |
|---|
| 1027 | lad_s(:,j,i) = lad(:) |
|---|
| 1028 | ENDDO |
|---|
| 1029 | ENDDO |
|---|
| 1030 | |
|---|
| 1031 | CASE ( 'read_from_file' ) |
|---|
| 1032 | ! |
|---|
| 1033 | !-- Initialize LAD with data from file. If LAD is given in NetCDF file, |
|---|
| 1034 | !-- use these values, else take LAD profiles from ASCII file. |
|---|
| 1035 | !-- Please note, in NetCDF file LAD is only given up to the maximum |
|---|
| 1036 | !-- canopy top, indicated by leaf_area_density_f%nz. |
|---|
| 1037 | lad_s = 0.0_wp |
|---|
| 1038 | IF ( leaf_area_density_f%from_file ) THEN |
|---|
| 1039 | ! |
|---|
| 1040 | !-- Set also pch_index, used to be the upper bound of the vertical |
|---|
| 1041 | !-- loops. Therefore, use the global top of the canopy layer. |
|---|
| 1042 | pch_index = leaf_area_density_f%nz - 1 |
|---|
| 1043 | |
|---|
| 1044 | DO i = nxl, nxr |
|---|
| 1045 | DO j = nys, nyn |
|---|
| 1046 | DO k = 0, leaf_area_density_f%nz - 1 |
|---|
| 1047 | IF ( leaf_area_density_f%var(k,j,i) /= & |
|---|
| 1048 | leaf_area_density_f%fill ) & |
|---|
| 1049 | lad_s(k,j,i) = leaf_area_density_f%var(k,j,i) |
|---|
| 1050 | ENDDO |
|---|
| 1051 | ! |
|---|
| 1052 | !-- Check if resolved vegetation is mapped onto buildings. |
|---|
| 1053 | !-- In general, this is allowed and also meaningful, e.g. |
|---|
| 1054 | !-- when trees carry across roofs. However, due to the |
|---|
| 1055 | !-- topography filtering, new building grid points can emerge |
|---|
| 1056 | !-- at location where also plant canopy is defined. As a |
|---|
| 1057 | !-- result, plant canopy is mapped on top of roofs, with |
|---|
| 1058 | !-- siginficant impact on the downstream flow field and the |
|---|
| 1059 | !-- nearby surface radiation. In order to avoid that |
|---|
| 1060 | !-- plant canopy is mistakenly mapped onto building roofs, |
|---|
| 1061 | !-- check for building grid points (bit 6) that emerge from |
|---|
| 1062 | !-- the filtering (bit 4) and set LAD to zero at these |
|---|
| 1063 | !-- artificially created building grid points. This case, |
|---|
| 1064 | !-- an informative message is given. |
|---|
| 1065 | IF ( ANY( lad_s(:,j,i) /= 0.0_wp ) .AND. & |
|---|
| 1066 | ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. & |
|---|
| 1067 | ANY( BTEST( wall_flags_total_0(:,j,i), 4 ) ) ) THEN |
|---|
| 1068 | lad_s(:,j,i) = 0.0_wp |
|---|
| 1069 | WRITE( message_string, * ) & |
|---|
| 1070 | 'Resolved plant-canopy is ' // & |
|---|
| 1071 | 'defined on top of an artificially '// & |
|---|
| 1072 | 'created building grid point ' // & |
|---|
| 1073 | '(emerged from the filtering) - ' // & |
|---|
| 1074 | 'LAD profile is omitted at this ' // & |
|---|
| 1075 | 'grid point: (i,j) = ', i, j |
|---|
| 1076 | CALL message( 'pcm_init', 'PA0313', 0, 0, myid, 6, 0 ) |
|---|
| 1077 | ENDIF |
|---|
| 1078 | ENDDO |
|---|
| 1079 | ENDDO |
|---|
| 1080 | CALL exchange_horiz( lad_s, nbgp ) |
|---|
| 1081 | ! |
|---|
| 1082 | ! ASCII file |
|---|
| 1083 | !-- Initialize canopy parameters canopy_drag_coeff, |
|---|
| 1084 | !-- leaf_scalar_exch_coeff, leaf_surface_conc |
|---|
| 1085 | !-- from file which contains complete 3D data (separate vertical profiles for |
|---|
| 1086 | !-- each location). |
|---|
| 1087 | ELSE |
|---|
| 1088 | CALL pcm_read_plant_canopy_3d |
|---|
| 1089 | ENDIF |
|---|
| 1090 | |
|---|
| 1091 | CASE DEFAULT |
|---|
| 1092 | ! |
|---|
| 1093 | !-- The DEFAULT case is reached either if the parameter |
|---|
| 1094 | !-- canopy mode contains a wrong character string or if the |
|---|
| 1095 | !-- user has coded a special case in the user interface. |
|---|
| 1096 | !-- There, the subroutine user_init_plant_canopy checks |
|---|
| 1097 | !-- which of these two conditions applies. |
|---|
| 1098 | CALL user_init_plant_canopy |
|---|
| 1099 | |
|---|
| 1100 | END SELECT |
|---|
| 1101 | ! |
|---|
| 1102 | !-- Check that at least one grid point has an LAD /= 0, else this may |
|---|
| 1103 | !-- cause errors in the radiation model. |
|---|
| 1104 | lad_max = MAXVAL( lad_s ) |
|---|
| 1105 | #if defined( __parallel ) |
|---|
| 1106 | CALL MPI_ALLREDUCE( MPI_IN_PLACE, lad_max, 1, MPI_REAL, MPI_MAX, & |
|---|
| 1107 | comm2d, ierr) |
|---|
| 1108 | #endif |
|---|
| 1109 | IF ( lad_max <= 0.0_wp ) THEN |
|---|
| 1110 | message_string = 'Plant-canopy model is switched-on but no ' // & |
|---|
| 1111 | 'plant canopy is present in the model domain.' |
|---|
| 1112 | CALL message( 'pcm_init', 'PA0685', 1, 2, 0, 6, 0 ) |
|---|
| 1113 | ENDIF |
|---|
| 1114 | |
|---|
| 1115 | ! |
|---|
| 1116 | !-- Initialize 2D index array indicating canopy top index. |
|---|
| 1117 | ALLOCATE( pch_index_ji(nysg:nyng,nxlg:nxrg) ) |
|---|
| 1118 | pch_index_ji = 0 |
|---|
| 1119 | |
|---|
| 1120 | DO i = nxl, nxr |
|---|
| 1121 | DO j = nys, nyn |
|---|
| 1122 | DO k = 0, pch_index |
|---|
| 1123 | IF ( lad_s(k,j,i) /= 0 ) pch_index_ji(j,i) = k |
|---|
| 1124 | ENDDO |
|---|
| 1125 | ! |
|---|
| 1126 | !-- Check whether topography and local vegetation on top exceed |
|---|
| 1127 | !-- height of the model domain. |
|---|
| 1128 | k = topo_top_ind(j,i,0) |
|---|
| 1129 | IF ( k + pch_index_ji(j,i) >= nzt + 1 ) THEN |
|---|
| 1130 | message_string = 'Local vegetation height on top of ' // & |
|---|
| 1131 | 'topography exceeds height of model domain.' |
|---|
| 1132 | CALL message( 'pcm_init', 'PA0674', 2, 2, 0, 6, 0 ) |
|---|
| 1133 | ENDIF |
|---|
| 1134 | |
|---|
| 1135 | ENDDO |
|---|
| 1136 | ENDDO |
|---|
| 1137 | |
|---|
| 1138 | CALL exchange_horiz_2d_int( pch_index_ji, nys, nyn, nxl, nxr, nbgp ) |
|---|
| 1139 | ! |
|---|
| 1140 | !-- Calculate global pch_index value (index of top of plant canopy from ground) |
|---|
| 1141 | pch_index = MAXVAL( pch_index_ji ) |
|---|
| 1142 | |
|---|
| 1143 | |
|---|
| 1144 | ! |
|---|
| 1145 | !-- Exchange pch_index from all processors |
|---|
| 1146 | #if defined( __parallel ) |
|---|
| 1147 | CALL MPI_ALLREDUCE( MPI_IN_PLACE, pch_index, 1, MPI_INTEGER, & |
|---|
| 1148 | MPI_MAX, comm2d, ierr) |
|---|
| 1149 | #endif |
|---|
| 1150 | |
|---|
| 1151 | !-- Allocation of arrays pcm_heating_rate, pcm_transpiration_rate and pcm_latent_rate |
|---|
| 1152 | ALLOCATE( pcm_heating_rate(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 1153 | pcm_heating_rate = 0.0_wp |
|---|
| 1154 | |
|---|
| 1155 | IF ( humidity ) THEN |
|---|
| 1156 | ALLOCATE( pcm_transpiration_rate(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 1157 | pcm_transpiration_rate = 0.0_wp |
|---|
| 1158 | ALLOCATE( pcm_latent_rate(0:pch_index,nysg:nyng,nxlg:nxrg) ) |
|---|
| 1159 | pcm_latent_rate = 0.0_wp |
|---|
| 1160 | ENDIF |
|---|
| 1161 | ! |
|---|
| 1162 | !-- Initialization of the canopy heat source distribution due to heating |
|---|
| 1163 | !-- of the canopy layers by incoming solar radiation, in case that a non-zero |
|---|
| 1164 | !-- value is set for the canopy top heat flux (cthf), which equals the |
|---|
| 1165 | !-- available net radiation at canopy top. |
|---|
| 1166 | !-- The heat source distribution is calculated by a decaying exponential |
|---|
| 1167 | !-- function of the downward cumulative leaf area index (cum_lai_hf), |
|---|
| 1168 | !-- assuming that the foliage inside the plant canopy is heated by solar |
|---|
| 1169 | !-- radiation penetrating the canopy layers according to the distribution |
|---|
| 1170 | !-- of net radiation as suggested by Brown & Covey (1966; Agric. Meteorol. 3, |
|---|
| 1171 | !-- 73â96). This approach has been applied e.g. by Shaw & Schumann (1992; |
|---|
| 1172 | !-- Bound.-Layer Meteorol. 61, 47â64). |
|---|
| 1173 | !-- When using the radiation_interactions, canopy heating (pcm_heating_rate) |
|---|
| 1174 | !-- and plant canopy transpiration (pcm_transpiration_rate, pcm_latent_rate) |
|---|
| 1175 | !-- are calculated in the RTM after the calculation of radiation. |
|---|
| 1176 | IF ( cthf /= 0.0_wp ) THEN |
|---|
| 1177 | |
|---|
| 1178 | ALLOCATE( cum_lai_hf(nzb:nzt+1,nysg:nyng,nxlg:nxrg) ) |
|---|
| 1179 | ! |
|---|
| 1180 | !-- Piecewise calculation of the cumulative leaf area index by vertical |
|---|
| 1181 | !-- integration of the leaf area density |
|---|
| 1182 | cum_lai_hf(:,:,:) = 0.0_wp |
|---|
| 1183 | DO i = nxlg, nxrg |
|---|
| 1184 | DO j = nysg, nyng |
|---|
| 1185 | DO k = pch_index_ji(j,i)-1, 0, -1 |
|---|
| 1186 | IF ( k == pch_index_ji(j,i)-1 ) THEN |
|---|
| 1187 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
|---|
| 1188 | ( 0.5_wp * lad_s(k+1,j,i) * & |
|---|
| 1189 | ( zw(k+1) - zu(k+1) ) ) + & |
|---|
| 1190 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
|---|
| 1191 | lad_s(k,j,i) ) + & |
|---|
| 1192 | lad_s(k+1,j,i) ) * & |
|---|
| 1193 | ( zu(k+1) - zw(k) ) ) |
|---|
| 1194 | ELSE |
|---|
| 1195 | cum_lai_hf(k,j,i) = cum_lai_hf(k+1,j,i) + & |
|---|
| 1196 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+2,j,i) + & |
|---|
| 1197 | lad_s(k+1,j,i) ) + & |
|---|
| 1198 | lad_s(k+1,j,i) ) * & |
|---|
| 1199 | ( zw(k+1) - zu(k+1) ) ) + & |
|---|
| 1200 | ( 0.5_wp * ( 0.5_wp * ( lad_s(k+1,j,i) + & |
|---|
| 1201 | lad_s(k,j,i) ) + & |
|---|
| 1202 | lad_s(k+1,j,i) ) * & |
|---|
| 1203 | ( zu(k+1) - zw(k) ) ) |
|---|
| 1204 | ENDIF |
|---|
| 1205 | ENDDO |
|---|
| 1206 | ENDDO |
|---|
| 1207 | ENDDO |
|---|
| 1208 | |
|---|
| 1209 | ! |
|---|
| 1210 | !-- In areas with canopy the surface value of the canopy heat |
|---|
| 1211 | !-- flux distribution overrides the surface heat flux (shf) |
|---|
| 1212 | !-- Start with default surface type |
|---|
| 1213 | DO m = 1, surf_def_h(0)%ns |
|---|
| 1214 | i = surf_def_h(0)%i(m) |
|---|
| 1215 | j = surf_def_h(0)%j(m) |
|---|
| 1216 | IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) & |
|---|
| 1217 | surf_def_h(0)%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) ) |
|---|
| 1218 | ENDDO |
|---|
| 1219 | ! |
|---|
| 1220 | !-- Natural surfaces |
|---|
| 1221 | DO m = 1, surf_lsm_h%ns |
|---|
| 1222 | i = surf_lsm_h%i(m) |
|---|
| 1223 | j = surf_lsm_h%j(m) |
|---|
| 1224 | IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) & |
|---|
| 1225 | surf_lsm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) ) |
|---|
| 1226 | ENDDO |
|---|
| 1227 | ! |
|---|
| 1228 | !-- Urban surfaces |
|---|
| 1229 | DO m = 1, surf_usm_h%ns |
|---|
| 1230 | i = surf_usm_h%i(m) |
|---|
| 1231 | j = surf_usm_h%j(m) |
|---|
| 1232 | IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) & |
|---|
| 1233 | surf_usm_h%shf(m) = cthf * exp( -ext_coef * cum_lai_hf(0,j,i) ) |
|---|
| 1234 | ENDDO |
|---|
| 1235 | ! |
|---|
| 1236 | ! |
|---|
| 1237 | !-- Calculation of the heating rate (K/s) within the different layers of |
|---|
| 1238 | !-- the plant canopy. Calculation is only necessary in areas covered with |
|---|
| 1239 | !-- canopy. |
|---|
| 1240 | !-- Within the different canopy layers the plant-canopy heating |
|---|
| 1241 | !-- rate (pcm_heating_rate) is calculated as the vertical |
|---|
| 1242 | !-- divergence of the canopy heat fluxes at the top and bottom |
|---|
| 1243 | !-- of the respective layer |
|---|
| 1244 | DO i = nxlg, nxrg |
|---|
| 1245 | DO j = nysg, nyng |
|---|
| 1246 | DO k = 1, pch_index_ji(j,i) |
|---|
| 1247 | IF ( cum_lai_hf(0,j,i) /= 0.0_wp ) THEN |
|---|
| 1248 | pcm_heating_rate(k,j,i) = cthf * & |
|---|
| 1249 | ( exp(-ext_coef*cum_lai_hf(k,j,i)) - & |
|---|
| 1250 | exp(-ext_coef*cum_lai_hf(k-1,j,i) ) ) / dzw(k) |
|---|
| 1251 | ENDIF |
|---|
| 1252 | ENDDO |
|---|
| 1253 | ENDDO |
|---|
| 1254 | ENDDO |
|---|
| 1255 | |
|---|
| 1256 | ENDIF |
|---|
| 1257 | |
|---|
| 1258 | IF ( debug_output ) CALL debug_message( 'pcm_init', 'end' ) |
|---|
| 1259 | |
|---|
| 1260 | END SUBROUTINE pcm_init |
|---|
| 1261 | |
|---|
| 1262 | |
|---|
| 1263 | !------------------------------------------------------------------------------! |
|---|
| 1264 | ! Description: |
|---|
| 1265 | ! ------------ |
|---|
| 1266 | !> Parin for &plant_canopy_parameters for plant canopy model |
|---|
| 1267 | !------------------------------------------------------------------------------! |
|---|
| 1268 | SUBROUTINE pcm_parin |
|---|
| 1269 | |
|---|
| 1270 | CHARACTER (LEN=80) :: line !< dummy string that contains the current line of the parameter file |
|---|
| 1271 | |
|---|
| 1272 | NAMELIST /plant_canopy_parameters/ & |
|---|
| 1273 | alpha_lad, beta_lad, canopy_drag_coeff, & |
|---|
| 1274 | canopy_mode, cthf, & |
|---|
| 1275 | lad_surface, lad_type_coef, & |
|---|
| 1276 | lad_vertical_gradient, & |
|---|
| 1277 | lad_vertical_gradient_level, & |
|---|
| 1278 | lai_beta, & |
|---|
| 1279 | leaf_scalar_exch_coeff, & |
|---|
| 1280 | leaf_surface_conc, pch_index, & |
|---|
| 1281 | plant_canopy_transpiration |
|---|
| 1282 | |
|---|
| 1283 | NAMELIST /canopy_par/ alpha_lad, beta_lad, canopy_drag_coeff, & |
|---|
| 1284 | canopy_mode, cthf, & |
|---|
| 1285 | lad_surface, lad_type_coef, & |
|---|
| 1286 | lad_vertical_gradient, & |
|---|
| 1287 | lad_vertical_gradient_level, & |
|---|
| 1288 | lai_beta, & |
|---|
| 1289 | leaf_scalar_exch_coeff, & |
|---|
| 1290 | leaf_surface_conc, pch_index, & |
|---|
| 1291 | plant_canopy_transpiration |
|---|
| 1292 | |
|---|
| 1293 | line = ' ' |
|---|
| 1294 | |
|---|
| 1295 | ! |
|---|
| 1296 | !-- Try to find plant-canopy model package |
|---|
| 1297 | REWIND ( 11 ) |
|---|
| 1298 | line = ' ' |
|---|
| 1299 | DO WHILE ( INDEX( line, '&plant_canopy_parameters' ) == 0 ) |
|---|
| 1300 | READ ( 11, '(A)', END=12 ) line |
|---|
| 1301 | ENDDO |
|---|
| 1302 | BACKSPACE ( 11 ) |
|---|
| 1303 | |
|---|
| 1304 | ! |
|---|
| 1305 | !-- Read user-defined namelist |
|---|
| 1306 | READ ( 11, plant_canopy_parameters, ERR = 10 ) |
|---|
| 1307 | |
|---|
| 1308 | ! |
|---|
| 1309 | !-- Set flag that indicates that the plant-canopy model is switched on |
|---|
| 1310 | plant_canopy = .TRUE. |
|---|
| 1311 | |
|---|
| 1312 | GOTO 14 |
|---|
| 1313 | |
|---|
| 1314 | 10 BACKSPACE( 11 ) |
|---|
| 1315 | READ( 11 , '(A)') line |
|---|
| 1316 | CALL parin_fail_message( 'plant_canopy_parameters', line ) |
|---|
| 1317 | ! |
|---|
| 1318 | !-- Try to find old namelist |
|---|
| 1319 | 12 REWIND ( 11 ) |
|---|
| 1320 | line = ' ' |
|---|
| 1321 | DO WHILE ( INDEX( line, '&canopy_par' ) == 0 ) |
|---|
| 1322 | READ ( 11, '(A)', END=14 ) line |
|---|
| 1323 | ENDDO |
|---|
| 1324 | BACKSPACE ( 11 ) |
|---|
| 1325 | |
|---|
| 1326 | ! |
|---|
| 1327 | !-- Read user-defined namelist |
|---|
| 1328 | READ ( 11, canopy_par, ERR = 13, END = 14 ) |
|---|
| 1329 | |
|---|
| 1330 | message_string = 'namelist canopy_par is deprecated and will be ' // & |
|---|
| 1331 | 'removed in near future. Please use namelist ' // & |
|---|
| 1332 | 'plant_canopy_parameters instead' |
|---|
| 1333 | CALL message( 'pcm_parin', 'PA0487', 0, 1, 0, 6, 0 ) |
|---|
| 1334 | |
|---|
| 1335 | ! |
|---|
| 1336 | !-- Set flag that indicates that the plant-canopy model is switched on |
|---|
| 1337 | plant_canopy = .TRUE. |
|---|
| 1338 | |
|---|
| 1339 | GOTO 14 |
|---|
| 1340 | |
|---|
| 1341 | 13 BACKSPACE( 11 ) |
|---|
| 1342 | READ( 11 , '(A)') line |
|---|
| 1343 | CALL parin_fail_message( 'canopy_par', line ) |
|---|
| 1344 | |
|---|
| 1345 | 14 CONTINUE |
|---|
| 1346 | |
|---|
| 1347 | END SUBROUTINE pcm_parin |
|---|
| 1348 | |
|---|
| 1349 | |
|---|
| 1350 | !------------------------------------------------------------------------------! |
|---|
| 1351 | ! Description: |
|---|
| 1352 | ! ------------ |
|---|
| 1353 | ! |
|---|
| 1354 | !> Loads 3D plant canopy data from file. File format is as follows: |
|---|
| 1355 | !> |
|---|
| 1356 | !> num_levels |
|---|
| 1357 | !> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
|---|
| 1358 | !> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
|---|
| 1359 | !> dtype,x,y,pctype,value(nzb),value(nzb+1), ... ,value(nzb+num_levels-1) |
|---|
| 1360 | !> ... |
|---|
| 1361 | !> |
|---|
| 1362 | !> i.e. first line determines number of levels and further lines represent plant |
|---|
| 1363 | !> canopy data, one line per column and variable. In each data line, |
|---|
| 1364 | !> dtype represents variable to be set: |
|---|
| 1365 | !> |
|---|
| 1366 | !> dtype=1: leaf area density (lad_s) |
|---|
| 1367 | !> dtype=2....n: some additional plant canopy input data quantity |
|---|
| 1368 | !> |
|---|
| 1369 | !> Zeros are added automatically above num_levels until top of domain. Any |
|---|
| 1370 | !> non-specified (x,y) columns have zero values as default. |
|---|
| 1371 | !------------------------------------------------------------------------------! |
|---|
| 1372 | SUBROUTINE pcm_read_plant_canopy_3d |
|---|
| 1373 | |
|---|
| 1374 | INTEGER(iwp) :: dtype !< type of input data (1=lad) |
|---|
| 1375 | INTEGER(iwp) :: pctype !< type of plant canopy (deciduous,non-deciduous,...) |
|---|
| 1376 | INTEGER(iwp) :: i, j !< running index |
|---|
| 1377 | INTEGER(iwp) :: nzp !< number of vertical layers of plant canopy |
|---|
| 1378 | INTEGER(iwp) :: nzpltop !< |
|---|
| 1379 | INTEGER(iwp) :: nzpl !< |
|---|
| 1380 | INTEGER(iwp) :: kk !< |
|---|
| 1381 | |
|---|
| 1382 | REAL(wp), DIMENSION(:), ALLOCATABLE :: col !< vertical column of input data |
|---|
| 1383 | |
|---|
| 1384 | ! |
|---|
| 1385 | !-- Initialize lad_s array |
|---|
| 1386 | lad_s = 0.0_wp |
|---|
| 1387 | |
|---|
| 1388 | ! |
|---|
| 1389 | !-- Open and read plant canopy input data |
|---|
| 1390 | OPEN(152, FILE='PLANT_CANOPY_DATA_3D' // TRIM( coupling_char ), & |
|---|
| 1391 | ACCESS='SEQUENTIAL', ACTION='READ', STATUS='OLD', & |
|---|
| 1392 | FORM='FORMATTED', ERR=515) |
|---|
| 1393 | READ(152, *, ERR=516, END=517) nzp !< read first line = number of vertical layers |
|---|
| 1394 | nzpltop = MIN(nzt+1, nzb+nzp-1) |
|---|
| 1395 | nzpl = nzpltop - nzb + 1 !< no. of layers to assign |
|---|
| 1396 | ALLOCATE( col(0:nzp-1) ) |
|---|
| 1397 | |
|---|
| 1398 | DO |
|---|
| 1399 | READ(152, *, ERR=516, END=517) dtype, i, j, pctype, col(:) |
|---|
| 1400 | IF ( i < nxlg .OR. i > nxrg .OR. j < nysg .OR. j > nyng ) CYCLE |
|---|
| 1401 | |
|---|
| 1402 | SELECT CASE (dtype) |
|---|
| 1403 | CASE( 1 ) !< leaf area density |
|---|
| 1404 | ! |
|---|
| 1405 | !-- This is just the pure canopy layer assumed to be grounded to |
|---|
| 1406 | !-- a flat domain surface. At locations where plant canopy sits |
|---|
| 1407 | !-- on top of any kind of topography, the vertical plant column |
|---|
| 1408 | !-- must be "lifted", which is done in SUBROUTINE pcm_tendency. |
|---|
| 1409 | IF ( pctype < 0 .OR. pctype > 10 ) THEN !< incorrect plant canopy type |
|---|
| 1410 | WRITE( message_string, * ) 'Incorrect type of plant canopy. ' // & |
|---|
| 1411 | 'Allowed values 0 <= pctype <= 10, ' // & |
|---|
| 1412 | 'but pctype is ', pctype |
|---|
| 1413 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0349', 1, 2, 0, 6, 0 ) |
|---|
| 1414 | ENDIF |
|---|
| 1415 | kk = topo_top_ind(j,i,0) |
|---|
| 1416 | lad_s(nzb:nzpltop-kk, j, i) = col(kk:nzpl-1)*lad_type_coef(pctype) |
|---|
| 1417 | CASE DEFAULT |
|---|
| 1418 | WRITE(message_string, '(a,i2,a)') & |
|---|
| 1419 | 'Unknown record type in file PLANT_CANOPY_DATA_3D: "', dtype, '"' |
|---|
| 1420 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0530', 1, 2, 0, 6, 0 ) |
|---|
| 1421 | END SELECT |
|---|
| 1422 | ENDDO |
|---|
| 1423 | |
|---|
| 1424 | 515 message_string = 'error opening file PLANT_CANOPY_DATA_3D' |
|---|
| 1425 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0531', 1, 2, 0, 6, 0 ) |
|---|
| 1426 | |
|---|
| 1427 | 516 message_string = 'error reading file PLANT_CANOPY_DATA_3D' |
|---|
| 1428 | CALL message( 'pcm_read_plant_canopy_3d', 'PA0532', 1, 2, 0, 6, 0 ) |
|---|
| 1429 | |
|---|
| 1430 | 517 CLOSE(152) |
|---|
| 1431 | DEALLOCATE( col ) |
|---|
| 1432 | |
|---|
| 1433 | CALL exchange_horiz( lad_s, nbgp ) |
|---|
| 1434 | |
|---|
| 1435 | END SUBROUTINE pcm_read_plant_canopy_3d |
|---|
| 1436 | |
|---|
| 1437 | |
|---|
| 1438 | !------------------------------------------------------------------------------! |
|---|
| 1439 | ! Description: |
|---|
| 1440 | ! ------------ |
|---|
| 1441 | !> Calculation of the tendency terms, accounting for the effect of the plant |
|---|
| 1442 | !> canopy on momentum and scalar quantities. |
|---|
| 1443 | !> |
|---|
| 1444 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
|---|
| 1445 | !> (defined on scalar grid), as initialized in subroutine pcm_init. |
|---|
| 1446 | !> The lad on the w-grid is vertically interpolated from the surrounding |
|---|
| 1447 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
|---|
| 1448 | !> k = pch_index. Here, the lad is zero. |
|---|
| 1449 | !> |
|---|
| 1450 | !> The canopy drag must be limited (previously accounted for by calculation of |
|---|
| 1451 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
|---|
| 1452 | !> in subroutine timestep), since it is physically impossible that the canopy |
|---|
| 1453 | !> drag alone can locally change the sign of a velocity component. This |
|---|
| 1454 | !> limitation is realized by calculating preliminary tendencies and velocities. |
|---|
| 1455 | !> It is subsequently checked if the preliminary new velocity has a different |
|---|
| 1456 | !> sign than the current velocity. If so, the tendency is limited in a way that |
|---|
| 1457 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
|---|
| 1458 | !> |
|---|
| 1459 | !> |
|---|
| 1460 | !> Call for all grid points |
|---|
| 1461 | !------------------------------------------------------------------------------! |
|---|
| 1462 | SUBROUTINE pcm_tendency( component ) |
|---|
| 1463 | |
|---|
| 1464 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
|---|
| 1465 | INTEGER(iwp) :: i !< running index |
|---|
| 1466 | INTEGER(iwp) :: j !< running index |
|---|
| 1467 | INTEGER(iwp) :: k !< running index |
|---|
| 1468 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
|---|
| 1469 | |
|---|
| 1470 | LOGICAL :: building_edge_e !< control flag indicating an eastward-facing building edge |
|---|
| 1471 | LOGICAL :: building_edge_n !< control flag indicating a north-facing building edge |
|---|
| 1472 | LOGICAL :: building_edge_s !< control flag indicating a south-facing building edge |
|---|
| 1473 | LOGICAL :: building_edge_w !< control flag indicating a westward-facing building edge |
|---|
| 1474 | |
|---|
| 1475 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
|---|
| 1476 | REAL(wp) :: lad_local !< local lad value |
|---|
| 1477 | REAL(wp) :: pre_tend !< preliminary tendency |
|---|
| 1478 | REAL(wp) :: pre_u !< preliminary u-value |
|---|
| 1479 | REAL(wp) :: pre_v !< preliminary v-value |
|---|
| 1480 | REAL(wp) :: pre_w !< preliminary w-value |
|---|
| 1481 | |
|---|
| 1482 | |
|---|
| 1483 | ddt_3d = 1.0_wp / dt_3d |
|---|
| 1484 | |
|---|
| 1485 | ! |
|---|
| 1486 | !-- Compute drag for the three velocity components and the SGS-TKE: |
|---|
| 1487 | SELECT CASE ( component ) |
|---|
| 1488 | |
|---|
| 1489 | ! |
|---|
| 1490 | !-- u-component |
|---|
| 1491 | CASE ( 1 ) |
|---|
| 1492 | DO i = nxlu, nxr |
|---|
| 1493 | DO j = nys, nyn |
|---|
| 1494 | ! |
|---|
| 1495 | !-- Set control flags indicating east- and westward-orientated |
|---|
| 1496 | !-- building edges. Note, building_egde_w is set from the perspective |
|---|
| 1497 | !-- of the potential rooftop grid point, while building_edge_e is |
|---|
| 1498 | !-- is set from the perspective of the non-building grid point. |
|---|
| 1499 | building_edge_w = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )& |
|---|
| 1500 | .AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) ) |
|---|
| 1501 | building_edge_e = ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) )& |
|---|
| 1502 | .AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) |
|---|
| 1503 | ! |
|---|
| 1504 | !-- Determine topography-top index on u-grid |
|---|
| 1505 | DO k = topo_top_ind(j,i,1)+1, topo_top_ind(j,i,1) + pch_index_ji(j,i) |
|---|
| 1506 | |
|---|
| 1507 | kk = k - topo_top_ind(j,i,1) !- lad arrays are defined flat |
|---|
| 1508 | ! |
|---|
| 1509 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 1510 | !-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 1511 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 1512 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 1513 | !-- than inside of the canopy. |
|---|
| 1514 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
|---|
| 1515 | !-- boundary on the u-grid equals lad_s(k,j,i), which is considered |
|---|
| 1516 | !-- in the next if-statement. Note, at left-sided building edges |
|---|
| 1517 | !-- this is not applied, here the LAD is equals the LAD at grid |
|---|
| 1518 | !-- point (k,j,i), in order to avoid that LAD is mistakenly mapped |
|---|
| 1519 | !-- on top of a roof where (usually) is no LAD is defined. |
|---|
| 1520 | lad_local = lad_s(kk,j,i) |
|---|
| 1521 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp & |
|---|
| 1522 | .AND. .NOT. building_edge_w ) lad_local = lad_s(kk,j,i-1) |
|---|
| 1523 | ! |
|---|
| 1524 | !-- In order to avoid that LAD is mistakenly considered at right- |
|---|
| 1525 | !-- sided building edges (here the topography-top index for the |
|---|
| 1526 | !-- u-component at index j,i is still on the building while the |
|---|
| 1527 | !-- topography top for the scalar isn't), LAD is taken from grid |
|---|
| 1528 | !-- point (j,i-1). |
|---|
| 1529 | IF ( lad_local > 0.0_wp .AND. lad_s(kk,j,i-1) == 0.0_wp & |
|---|
| 1530 | .AND. building_edge_e ) lad_local = lad_s(kk,j,i-1) |
|---|
| 1531 | |
|---|
| 1532 | pre_tend = 0.0_wp |
|---|
| 1533 | pre_u = 0.0_wp |
|---|
| 1534 | ! |
|---|
| 1535 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 1536 | pre_tend = - canopy_drag_coeff * & |
|---|
| 1537 | lad_local * & |
|---|
| 1538 | SQRT( u(k,j,i)**2 + & |
|---|
| 1539 | ( 0.25_wp * ( v(k,j,i-1) + & |
|---|
| 1540 | v(k,j,i) + & |
|---|
| 1541 | v(k,j+1,i) + & |
|---|
| 1542 | v(k,j+1,i-1) ) & |
|---|
| 1543 | )**2 + & |
|---|
| 1544 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
|---|
| 1545 | w(k-1,j,i) + & |
|---|
| 1546 | w(k,j,i-1) + & |
|---|
| 1547 | w(k,j,i) ) & |
|---|
| 1548 | )**2 & |
|---|
| 1549 | ) * & |
|---|
| 1550 | u(k,j,i) |
|---|
| 1551 | |
|---|
| 1552 | ! |
|---|
| 1553 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 1554 | pre_u = u(k,j,i) + dt_3d * pre_tend |
|---|
| 1555 | ! |
|---|
| 1556 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 1557 | !-- and in case the signs are different, limit the tendency |
|---|
| 1558 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
|---|
| 1559 | pre_tend = - u(k,j,i) * ddt_3d |
|---|
| 1560 | ENDIF |
|---|
| 1561 | ! |
|---|
| 1562 | !-- Calculate final tendency |
|---|
| 1563 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 1564 | |
|---|
| 1565 | ENDDO |
|---|
| 1566 | ENDDO |
|---|
| 1567 | ENDDO |
|---|
| 1568 | |
|---|
| 1569 | ! |
|---|
| 1570 | !-- v-component |
|---|
| 1571 | CASE ( 2 ) |
|---|
| 1572 | DO i = nxl, nxr |
|---|
| 1573 | DO j = nysv, nyn |
|---|
| 1574 | ! |
|---|
| 1575 | !-- Set control flags indicating north- and southward-orientated |
|---|
| 1576 | !-- building edges. Note, building_egde_s is set from the perspective |
|---|
| 1577 | !-- of the potential rooftop grid point, while building_edge_n is |
|---|
| 1578 | !-- is set from the perspective of the non-building grid point. |
|---|
| 1579 | building_edge_s = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) )& |
|---|
| 1580 | .AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) ) |
|---|
| 1581 | building_edge_n = ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) )& |
|---|
| 1582 | .AND. .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) |
|---|
| 1583 | ! |
|---|
| 1584 | !-- Determine topography-top index on v-grid |
|---|
| 1585 | DO k = topo_top_ind(j,i,2)+1, topo_top_ind(j,i,2) + pch_index_ji(j,i) |
|---|
| 1586 | |
|---|
| 1587 | kk = k - topo_top_ind(j,i,2) !- lad arrays are defined flat |
|---|
| 1588 | ! |
|---|
| 1589 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 1590 | !-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 1591 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 1592 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 1593 | !-- than inside of the canopy. |
|---|
| 1594 | !-- For the same reason, the lad at the northmost(j+1)canopy |
|---|
| 1595 | !-- boundary on the v-grid equals lad_s(k,j,i), which is considered |
|---|
| 1596 | !-- in the next if-statement. Note, at left-sided building edges |
|---|
| 1597 | !-- this is not applied, here the LAD is equals the LAD at grid |
|---|
| 1598 | !-- point (k,j,i), in order to avoid that LAD is mistakenly mapped |
|---|
| 1599 | !-- on top of a roof where (usually) is no LAD is defined. |
|---|
| 1600 | lad_local = lad_s(kk,j,i) |
|---|
| 1601 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp & |
|---|
| 1602 | .AND. .NOT. building_edge_s ) lad_local = lad_s(kk,j-1,i) |
|---|
| 1603 | ! |
|---|
| 1604 | !-- In order to avoid that LAD is mistakenly considered at right- |
|---|
| 1605 | !-- sided building edges (here the topography-top index for the |
|---|
| 1606 | !-- u-component at index j,i is still on the building while the |
|---|
| 1607 | !-- topography top for the scalar isn't), LAD is taken from grid |
|---|
| 1608 | !-- point (j,i-1). |
|---|
| 1609 | IF ( lad_local > 0.0_wp .AND. lad_s(kk,j-1,i) == 0.0_wp & |
|---|
| 1610 | .AND. building_edge_n ) lad_local = lad_s(kk,j-1,i) |
|---|
| 1611 | |
|---|
| 1612 | pre_tend = 0.0_wp |
|---|
| 1613 | pre_v = 0.0_wp |
|---|
| 1614 | ! |
|---|
| 1615 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 1616 | pre_tend = - canopy_drag_coeff * & |
|---|
| 1617 | lad_local * & |
|---|
| 1618 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
|---|
| 1619 | u(k,j-1,i+1) + & |
|---|
| 1620 | u(k,j,i) + & |
|---|
| 1621 | u(k,j,i+1) ) & |
|---|
| 1622 | )**2 + & |
|---|
| 1623 | v(k,j,i)**2 + & |
|---|
| 1624 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
|---|
| 1625 | w(k-1,j,i) + & |
|---|
| 1626 | w(k,j-1,i) + & |
|---|
| 1627 | w(k,j,i) ) & |
|---|
| 1628 | )**2 & |
|---|
| 1629 | ) * & |
|---|
| 1630 | v(k,j,i) |
|---|
| 1631 | |
|---|
| 1632 | ! |
|---|
| 1633 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 1634 | pre_v = v(k,j,i) + dt_3d * pre_tend |
|---|
| 1635 | ! |
|---|
| 1636 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 1637 | !-- and in case the signs are different, limit the tendency |
|---|
| 1638 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
|---|
| 1639 | pre_tend = - v(k,j,i) * ddt_3d |
|---|
| 1640 | ELSE |
|---|
| 1641 | pre_tend = pre_tend |
|---|
| 1642 | ENDIF |
|---|
| 1643 | ! |
|---|
| 1644 | !-- Calculate final tendency |
|---|
| 1645 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 1646 | |
|---|
| 1647 | ENDDO |
|---|
| 1648 | ENDDO |
|---|
| 1649 | ENDDO |
|---|
| 1650 | |
|---|
| 1651 | ! |
|---|
| 1652 | !-- w-component |
|---|
| 1653 | CASE ( 3 ) |
|---|
| 1654 | DO i = nxl, nxr |
|---|
| 1655 | DO j = nys, nyn |
|---|
| 1656 | ! |
|---|
| 1657 | !-- Determine topography-top index on w-grid |
|---|
| 1658 | DO k = topo_top_ind(j,i,3)+1, topo_top_ind(j,i,3) + pch_index_ji(j,i) - 1 |
|---|
| 1659 | |
|---|
| 1660 | kk = k - topo_top_ind(j,i,3) !- lad arrays are defined flat |
|---|
| 1661 | |
|---|
| 1662 | pre_tend = 0.0_wp |
|---|
| 1663 | pre_w = 0.0_wp |
|---|
| 1664 | ! |
|---|
| 1665 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 1666 | pre_tend = - canopy_drag_coeff * & |
|---|
| 1667 | (0.5_wp * & |
|---|
| 1668 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
|---|
| 1669 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
|---|
| 1670 | u(k,j,i+1) + & |
|---|
| 1671 | u(k+1,j,i) + & |
|---|
| 1672 | u(k+1,j,i+1) ) & |
|---|
| 1673 | )**2 + & |
|---|
| 1674 | ( 0.25_wp * ( v(k,j,i) + & |
|---|
| 1675 | v(k,j+1,i) + & |
|---|
| 1676 | v(k+1,j,i) + & |
|---|
| 1677 | v(k+1,j+1,i) ) & |
|---|
| 1678 | )**2 + & |
|---|
| 1679 | w(k,j,i)**2 & |
|---|
| 1680 | ) * & |
|---|
| 1681 | w(k,j,i) |
|---|
| 1682 | ! |
|---|
| 1683 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 1684 | pre_w = w(k,j,i) + dt_3d * pre_tend |
|---|
| 1685 | ! |
|---|
| 1686 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 1687 | !-- and in case the signs are different, limit the tendency |
|---|
| 1688 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
|---|
| 1689 | pre_tend = - w(k,j,i) * ddt_3d |
|---|
| 1690 | ELSE |
|---|
| 1691 | pre_tend = pre_tend |
|---|
| 1692 | ENDIF |
|---|
| 1693 | ! |
|---|
| 1694 | !-- Calculate final tendency |
|---|
| 1695 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 1696 | |
|---|
| 1697 | ENDDO |
|---|
| 1698 | ENDDO |
|---|
| 1699 | ENDDO |
|---|
| 1700 | |
|---|
| 1701 | ! |
|---|
| 1702 | !-- potential temperature |
|---|
| 1703 | CASE ( 4 ) |
|---|
| 1704 | IF ( humidity ) THEN |
|---|
| 1705 | DO i = nxl, nxr |
|---|
| 1706 | DO j = nys, nyn |
|---|
| 1707 | !-- Determine topography-top index on scalar-grid |
|---|
| 1708 | DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 1709 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 1710 | tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) - pcm_latent_rate(kk,j,i) |
|---|
| 1711 | ENDDO |
|---|
| 1712 | ENDDO |
|---|
| 1713 | ENDDO |
|---|
| 1714 | ELSE |
|---|
| 1715 | DO i = nxl, nxr |
|---|
| 1716 | DO j = nys, nyn |
|---|
| 1717 | !-- Determine topography-top index on scalar-grid |
|---|
| 1718 | DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 1719 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 1720 | tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) |
|---|
| 1721 | ENDDO |
|---|
| 1722 | ENDDO |
|---|
| 1723 | ENDDO |
|---|
| 1724 | ENDIF |
|---|
| 1725 | |
|---|
| 1726 | ! |
|---|
| 1727 | !-- humidity |
|---|
| 1728 | CASE ( 5 ) |
|---|
| 1729 | DO i = nxl, nxr |
|---|
| 1730 | DO j = nys, nyn |
|---|
| 1731 | ! |
|---|
| 1732 | !-- Determine topography-top index on scalar-grid |
|---|
| 1733 | DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 1734 | |
|---|
| 1735 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 1736 | |
|---|
| 1737 | IF ( .NOT. plant_canopy_transpiration ) THEN |
|---|
| 1738 | ! pcm_transpiration_rate is calculated in radiation model |
|---|
| 1739 | ! in case of plant_canopy_transpiration = .T. |
|---|
| 1740 | ! to include also the dependecy to the radiation |
|---|
| 1741 | ! in the plant canopy box |
|---|
| 1742 | pcm_transpiration_rate(kk,j,i) = - leaf_scalar_exch_coeff & |
|---|
| 1743 | * lad_s(kk,j,i) * & |
|---|
| 1744 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 1745 | u(k,j,i+1) ) & |
|---|
| 1746 | )**2 + & |
|---|
| 1747 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 1748 | v(k,j+1,i) ) & |
|---|
| 1749 | )**2 + & |
|---|
| 1750 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 1751 | w(k,j,i) ) & |
|---|
| 1752 | )**2 & |
|---|
| 1753 | ) * & |
|---|
| 1754 | ( q(k,j,i) - leaf_surface_conc ) |
|---|
| 1755 | ENDIF |
|---|
| 1756 | |
|---|
| 1757 | tend(k,j,i) = tend(k,j,i) + pcm_transpiration_rate(kk,j,i) |
|---|
| 1758 | ENDDO |
|---|
| 1759 | ENDDO |
|---|
| 1760 | ENDDO |
|---|
| 1761 | |
|---|
| 1762 | ! |
|---|
| 1763 | !-- sgs-tke |
|---|
| 1764 | CASE ( 6 ) |
|---|
| 1765 | DO i = nxl, nxr |
|---|
| 1766 | DO j = nys, nyn |
|---|
| 1767 | ! |
|---|
| 1768 | !-- Determine topography-top index on scalar-grid |
|---|
| 1769 | DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 1770 | |
|---|
| 1771 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 1772 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1773 | 2.0_wp * canopy_drag_coeff * & |
|---|
| 1774 | lad_s(kk,j,i) * & |
|---|
| 1775 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 1776 | u(k,j,i+1) ) & |
|---|
| 1777 | )**2 + & |
|---|
| 1778 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 1779 | v(k,j+1,i) ) & |
|---|
| 1780 | )**2 + & |
|---|
| 1781 | ( 0.5_wp * ( w(k,j,i) + & |
|---|
| 1782 | w(k+1,j,i) ) & |
|---|
| 1783 | )**2 & |
|---|
| 1784 | ) * & |
|---|
| 1785 | e(k,j,i) |
|---|
| 1786 | ENDDO |
|---|
| 1787 | ENDDO |
|---|
| 1788 | ENDDO |
|---|
| 1789 | ! |
|---|
| 1790 | !-- scalar concentration |
|---|
| 1791 | CASE ( 7 ) |
|---|
| 1792 | DO i = nxl, nxr |
|---|
| 1793 | DO j = nys, nyn |
|---|
| 1794 | ! |
|---|
| 1795 | !-- Determine topography-top index on scalar-grid |
|---|
| 1796 | DO k = topo_top_ind(j,i,0)+1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 1797 | |
|---|
| 1798 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 1799 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 1800 | leaf_scalar_exch_coeff * & |
|---|
| 1801 | lad_s(kk,j,i) * & |
|---|
| 1802 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 1803 | u(k,j,i+1) ) & |
|---|
| 1804 | )**2 + & |
|---|
| 1805 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 1806 | v(k,j+1,i) ) & |
|---|
| 1807 | )**2 + & |
|---|
| 1808 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 1809 | w(k,j,i) ) & |
|---|
| 1810 | )**2 & |
|---|
| 1811 | ) * & |
|---|
| 1812 | ( s(k,j,i) - leaf_surface_conc ) |
|---|
| 1813 | ENDDO |
|---|
| 1814 | ENDDO |
|---|
| 1815 | ENDDO |
|---|
| 1816 | |
|---|
| 1817 | |
|---|
| 1818 | |
|---|
| 1819 | CASE DEFAULT |
|---|
| 1820 | |
|---|
| 1821 | WRITE( message_string, * ) 'wrong component: ', component |
|---|
| 1822 | CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 ) |
|---|
| 1823 | |
|---|
| 1824 | END SELECT |
|---|
| 1825 | |
|---|
| 1826 | END SUBROUTINE pcm_tendency |
|---|
| 1827 | |
|---|
| 1828 | |
|---|
| 1829 | !------------------------------------------------------------------------------! |
|---|
| 1830 | ! Description: |
|---|
| 1831 | ! ------------ |
|---|
| 1832 | !> Calculation of the tendency terms, accounting for the effect of the plant |
|---|
| 1833 | !> canopy on momentum and scalar quantities. |
|---|
| 1834 | !> |
|---|
| 1835 | !> The canopy is located where the leaf area density lad_s(k,j,i) > 0.0 |
|---|
| 1836 | !> (defined on scalar grid), as initialized in subroutine pcm_init. |
|---|
| 1837 | !> The lad on the w-grid is vertically interpolated from the surrounding |
|---|
| 1838 | !> lad_s. The upper boundary of the canopy is defined on the w-grid at |
|---|
| 1839 | !> k = pch_index. Here, the lad is zero. |
|---|
| 1840 | !> |
|---|
| 1841 | !> The canopy drag must be limited (previously accounted for by calculation of |
|---|
| 1842 | !> a limiting canopy timestep for the determination of the maximum LES timestep |
|---|
| 1843 | !> in subroutine timestep), since it is physically impossible that the canopy |
|---|
| 1844 | !> drag alone can locally change the sign of a velocity component. This |
|---|
| 1845 | !> limitation is realized by calculating preliminary tendencies and velocities. |
|---|
| 1846 | !> It is subsequently checked if the preliminary new velocity has a different |
|---|
| 1847 | !> sign than the current velocity. If so, the tendency is limited in a way that |
|---|
| 1848 | !> the velocity can at maximum be reduced to zero by the canopy drag. |
|---|
| 1849 | !> |
|---|
| 1850 | !> |
|---|
| 1851 | !> Call for grid point i,j |
|---|
| 1852 | !------------------------------------------------------------------------------! |
|---|
| 1853 | SUBROUTINE pcm_tendency_ij( i, j, component ) |
|---|
| 1854 | |
|---|
| 1855 | INTEGER(iwp) :: component !< prognostic variable (u,v,w,pt,q,e) |
|---|
| 1856 | INTEGER(iwp) :: i !< running index |
|---|
| 1857 | INTEGER(iwp) :: j !< running index |
|---|
| 1858 | INTEGER(iwp) :: k !< running index |
|---|
| 1859 | INTEGER(iwp) :: kk !< running index for flat lad arrays |
|---|
| 1860 | |
|---|
| 1861 | LOGICAL :: building_edge_e !< control flag indicating an eastward-facing building edge |
|---|
| 1862 | LOGICAL :: building_edge_n !< control flag indicating a north-facing building edge |
|---|
| 1863 | LOGICAL :: building_edge_s !< control flag indicating a south-facing building edge |
|---|
| 1864 | LOGICAL :: building_edge_w !< control flag indicating a westward-facing building edge |
|---|
| 1865 | |
|---|
| 1866 | REAL(wp) :: ddt_3d !< inverse of the LES timestep (dt_3d) |
|---|
| 1867 | REAL(wp) :: lad_local !< local lad value |
|---|
| 1868 | REAL(wp) :: pre_tend !< preliminary tendency |
|---|
| 1869 | REAL(wp) :: pre_u !< preliminary u-value |
|---|
| 1870 | REAL(wp) :: pre_v !< preliminary v-value |
|---|
| 1871 | REAL(wp) :: pre_w !< preliminary w-value |
|---|
| 1872 | |
|---|
| 1873 | |
|---|
| 1874 | ddt_3d = 1.0_wp / dt_3d |
|---|
| 1875 | ! |
|---|
| 1876 | !-- Compute drag for the three velocity components and the SGS-TKE |
|---|
| 1877 | SELECT CASE ( component ) |
|---|
| 1878 | |
|---|
| 1879 | ! |
|---|
| 1880 | !-- u-component |
|---|
| 1881 | CASE ( 1 ) |
|---|
| 1882 | ! |
|---|
| 1883 | !-- Set control flags indicating east- and westward-orientated |
|---|
| 1884 | !-- building edges. Note, building_egde_w is set from the perspective |
|---|
| 1885 | !-- of the potential rooftop grid point, while building_edge_e is |
|---|
| 1886 | !-- is set from the perspective of the non-building grid point. |
|---|
| 1887 | building_edge_w = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. & |
|---|
| 1888 | .NOT. ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) ) |
|---|
| 1889 | building_edge_e = ANY( BTEST( wall_flags_total_0(:,j,i-1), 6 ) ) .AND. & |
|---|
| 1890 | .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) |
|---|
| 1891 | ! |
|---|
| 1892 | !-- Determine topography-top index on u-grid |
|---|
| 1893 | DO k = topo_top_ind(j,i,1) + 1, topo_top_ind(j,i,1) + pch_index_ji(j,i) |
|---|
| 1894 | |
|---|
| 1895 | kk = k - topo_top_ind(j,i,1) !- lad arrays are defined flat |
|---|
| 1896 | |
|---|
| 1897 | ! |
|---|
| 1898 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 1899 | !-- the lad on the u-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 1900 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 1901 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 1902 | !-- than inside of the canopy. |
|---|
| 1903 | !-- For the same reason, the lad at the rightmost(i+1)canopy |
|---|
| 1904 | !-- boundary on the u-grid equals lad_s(k,j,i), which is considered |
|---|
| 1905 | !-- in the next if-statement. Note, at left-sided building edges |
|---|
| 1906 | !-- this is not applied, here the LAD is equals the LAD at grid |
|---|
| 1907 | !-- point (k,j,i), in order to avoid that LAD is mistakenly mapped |
|---|
| 1908 | !-- on top of a roof where (usually) is no LAD is defined. |
|---|
| 1909 | lad_local = lad_s(kk,j,i) |
|---|
| 1910 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j,i-1) > 0.0_wp .AND. & |
|---|
| 1911 | .NOT. building_edge_w ) lad_local = lad_s(kk,j,i-1) |
|---|
| 1912 | ! |
|---|
| 1913 | !-- In order to avoid that LAD is mistakenly considered at right- |
|---|
| 1914 | !-- sided building edges (here the topography-top index for the |
|---|
| 1915 | !-- u-component at index j,i is still on the building while the |
|---|
| 1916 | !-- topography top for the scalar isn't), LAD is taken from grid |
|---|
| 1917 | !-- point (j,i-1). |
|---|
| 1918 | IF ( lad_local > 0.0_wp .AND. lad_s(kk,j,i-1) == 0.0_wp .AND. & |
|---|
| 1919 | building_edge_e ) lad_local = lad_s(kk,j,i-1) |
|---|
| 1920 | |
|---|
| 1921 | pre_tend = 0.0_wp |
|---|
| 1922 | pre_u = 0.0_wp |
|---|
| 1923 | ! |
|---|
| 1924 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 1925 | pre_tend = - canopy_drag_coeff * & |
|---|
| 1926 | lad_local * & |
|---|
| 1927 | SQRT( u(k,j,i)**2 + & |
|---|
| 1928 | ( 0.25_wp * ( v(k,j,i-1) + & |
|---|
| 1929 | v(k,j,i) + & |
|---|
| 1930 | v(k,j+1,i) + & |
|---|
| 1931 | v(k,j+1,i-1) ) & |
|---|
| 1932 | )**2 + & |
|---|
| 1933 | ( 0.25_wp * ( w(k-1,j,i-1) + & |
|---|
| 1934 | w(k-1,j,i) + & |
|---|
| 1935 | w(k,j,i-1) + & |
|---|
| 1936 | w(k,j,i) ) & |
|---|
| 1937 | )**2 & |
|---|
| 1938 | ) * & |
|---|
| 1939 | u(k,j,i) |
|---|
| 1940 | |
|---|
| 1941 | ! |
|---|
| 1942 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 1943 | pre_u = u(k,j,i) + dt_3d * pre_tend |
|---|
| 1944 | ! |
|---|
| 1945 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 1946 | !-- and in case the signs are different, limit the tendency |
|---|
| 1947 | IF ( SIGN(pre_u,u(k,j,i)) /= pre_u ) THEN |
|---|
| 1948 | pre_tend = - u(k,j,i) * ddt_3d |
|---|
| 1949 | ELSE |
|---|
| 1950 | pre_tend = pre_tend |
|---|
| 1951 | ENDIF |
|---|
| 1952 | ! |
|---|
| 1953 | !-- Calculate final tendency |
|---|
| 1954 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 1955 | ENDDO |
|---|
| 1956 | |
|---|
| 1957 | |
|---|
| 1958 | ! |
|---|
| 1959 | !-- v-component |
|---|
| 1960 | CASE ( 2 ) |
|---|
| 1961 | ! |
|---|
| 1962 | !-- Set control flags indicating north- and southward-orientated |
|---|
| 1963 | !-- building edges. Note, building_egde_s is set from the perspective |
|---|
| 1964 | !-- of the potential rooftop grid point, while building_edge_n is |
|---|
| 1965 | !-- is set from the perspective of the non-building grid point. |
|---|
| 1966 | building_edge_s = ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) .AND. & |
|---|
| 1967 | .NOT. ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) ) |
|---|
| 1968 | building_edge_n = ANY( BTEST( wall_flags_total_0(:,j-1,i), 6 ) ) .AND. & |
|---|
| 1969 | .NOT. ANY( BTEST( wall_flags_total_0(:,j,i), 6 ) ) |
|---|
| 1970 | ! |
|---|
| 1971 | !-- Determine topography-top index on v-grid |
|---|
| 1972 | DO k = topo_top_ind(j,i,2) + 1, topo_top_ind(j,i,2) + pch_index_ji(j,i) |
|---|
| 1973 | |
|---|
| 1974 | kk = k - topo_top_ind(j,i,2) !- lad arrays are defined flat |
|---|
| 1975 | ! |
|---|
| 1976 | !-- In order to create sharp boundaries of the plant canopy, |
|---|
| 1977 | !-- the lad on the v-grid at index (k,j,i) is equal to lad_s(k,j,i), |
|---|
| 1978 | !-- rather than being interpolated from the surrounding lad_s, |
|---|
| 1979 | !-- because this would yield smaller lad at the canopy boundaries |
|---|
| 1980 | !-- than inside of the canopy. |
|---|
| 1981 | !-- For the same reason, the lad at the northmost(j+1)canopy |
|---|
| 1982 | !-- boundary on the v-grid equals lad_s(k,j,i), which is considered |
|---|
| 1983 | !-- in the next if-statement. Note, at left-sided building edges |
|---|
| 1984 | !-- this is not applied, here the LAD is equals the LAD at grid |
|---|
| 1985 | !-- point (k,j,i), in order to avoid that LAD is mistakenly mapped |
|---|
| 1986 | !-- on top of a roof where (usually) is no LAD is defined. |
|---|
| 1987 | lad_local = lad_s(kk,j,i) |
|---|
| 1988 | IF ( lad_local == 0.0_wp .AND. lad_s(kk,j-1,i) > 0.0_wp .AND. & |
|---|
| 1989 | .NOT. building_edge_s ) lad_local = lad_s(kk,j-1,i) |
|---|
| 1990 | ! |
|---|
| 1991 | !-- In order to avoid that LAD is mistakenly considered at right- |
|---|
| 1992 | !-- sided building edges (here the topography-top index for the |
|---|
| 1993 | !-- u-component at index j,i is still on the building while the |
|---|
| 1994 | !-- topography top for the scalar isn't), LAD is taken from grid |
|---|
| 1995 | !-- point (j,i-1). |
|---|
| 1996 | IF ( lad_local > 0.0_wp .AND. lad_s(kk,j-1,i) == 0.0_wp .AND. & |
|---|
| 1997 | building_edge_n ) lad_local = lad_s(kk,j-1,i) |
|---|
| 1998 | |
|---|
| 1999 | pre_tend = 0.0_wp |
|---|
| 2000 | pre_v = 0.0_wp |
|---|
| 2001 | ! |
|---|
| 2002 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 2003 | pre_tend = - canopy_drag_coeff * & |
|---|
| 2004 | lad_local * & |
|---|
| 2005 | SQRT( ( 0.25_wp * ( u(k,j-1,i) + & |
|---|
| 2006 | u(k,j-1,i+1) + & |
|---|
| 2007 | u(k,j,i) + & |
|---|
| 2008 | u(k,j,i+1) ) & |
|---|
| 2009 | )**2 + & |
|---|
| 2010 | v(k,j,i)**2 + & |
|---|
| 2011 | ( 0.25_wp * ( w(k-1,j-1,i) + & |
|---|
| 2012 | w(k-1,j,i) + & |
|---|
| 2013 | w(k,j-1,i) + & |
|---|
| 2014 | w(k,j,i) ) & |
|---|
| 2015 | )**2 & |
|---|
| 2016 | ) * & |
|---|
| 2017 | v(k,j,i) |
|---|
| 2018 | |
|---|
| 2019 | ! |
|---|
| 2020 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 2021 | pre_v = v(k,j,i) + dt_3d * pre_tend |
|---|
| 2022 | ! |
|---|
| 2023 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 2024 | !-- and in case the signs are different, limit the tendency |
|---|
| 2025 | IF ( SIGN(pre_v,v(k,j,i)) /= pre_v ) THEN |
|---|
| 2026 | pre_tend = - v(k,j,i) * ddt_3d |
|---|
| 2027 | ELSE |
|---|
| 2028 | pre_tend = pre_tend |
|---|
| 2029 | ENDIF |
|---|
| 2030 | ! |
|---|
| 2031 | !-- Calculate final tendency |
|---|
| 2032 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 2033 | ENDDO |
|---|
| 2034 | |
|---|
| 2035 | |
|---|
| 2036 | ! |
|---|
| 2037 | !-- w-component |
|---|
| 2038 | CASE ( 3 ) |
|---|
| 2039 | ! |
|---|
| 2040 | !-- Determine topography-top index on w-grid |
|---|
| 2041 | DO k = topo_top_ind(j,i,3) + 1, topo_top_ind(j,i,3) + pch_index_ji(j,i) - 1 |
|---|
| 2042 | |
|---|
| 2043 | kk = k - topo_top_ind(j,i,3) !- lad arrays are defined flat |
|---|
| 2044 | |
|---|
| 2045 | pre_tend = 0.0_wp |
|---|
| 2046 | pre_w = 0.0_wp |
|---|
| 2047 | ! |
|---|
| 2048 | !-- Calculate preliminary value (pre_tend) of the tendency |
|---|
| 2049 | pre_tend = - canopy_drag_coeff * & |
|---|
| 2050 | (0.5_wp * & |
|---|
| 2051 | ( lad_s(kk+1,j,i) + lad_s(kk,j,i) )) * & |
|---|
| 2052 | SQRT( ( 0.25_wp * ( u(k,j,i) + & |
|---|
| 2053 | u(k,j,i+1) + & |
|---|
| 2054 | u(k+1,j,i) + & |
|---|
| 2055 | u(k+1,j,i+1) ) & |
|---|
| 2056 | )**2 + & |
|---|
| 2057 | ( 0.25_wp * ( v(k,j,i) + & |
|---|
| 2058 | v(k,j+1,i) + & |
|---|
| 2059 | v(k+1,j,i) + & |
|---|
| 2060 | v(k+1,j+1,i) ) & |
|---|
| 2061 | )**2 + & |
|---|
| 2062 | w(k,j,i)**2 & |
|---|
| 2063 | ) * & |
|---|
| 2064 | w(k,j,i) |
|---|
| 2065 | ! |
|---|
| 2066 | !-- Calculate preliminary new velocity, based on pre_tend |
|---|
| 2067 | pre_w = w(k,j,i) + dt_3d * pre_tend |
|---|
| 2068 | ! |
|---|
| 2069 | !-- Compare sign of old velocity and new preliminary velocity, |
|---|
| 2070 | !-- and in case the signs are different, limit the tendency |
|---|
| 2071 | IF ( SIGN(pre_w,w(k,j,i)) /= pre_w ) THEN |
|---|
| 2072 | pre_tend = - w(k,j,i) * ddt_3d |
|---|
| 2073 | ELSE |
|---|
| 2074 | pre_tend = pre_tend |
|---|
| 2075 | ENDIF |
|---|
| 2076 | ! |
|---|
| 2077 | !-- Calculate final tendency |
|---|
| 2078 | tend(k,j,i) = tend(k,j,i) + pre_tend |
|---|
| 2079 | ENDDO |
|---|
| 2080 | |
|---|
| 2081 | ! |
|---|
| 2082 | !-- potential temperature |
|---|
| 2083 | CASE ( 4 ) |
|---|
| 2084 | ! |
|---|
| 2085 | !-- Determine topography-top index on scalar grid |
|---|
| 2086 | IF ( humidity ) THEN |
|---|
| 2087 | DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 2088 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 2089 | tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) - & |
|---|
| 2090 | pcm_latent_rate(kk,j,i) |
|---|
| 2091 | ENDDO |
|---|
| 2092 | ELSE |
|---|
| 2093 | DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 2094 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 2095 | tend(k,j,i) = tend(k,j,i) + pcm_heating_rate(kk,j,i) |
|---|
| 2096 | ENDDO |
|---|
| 2097 | ENDIF |
|---|
| 2098 | |
|---|
| 2099 | ! |
|---|
| 2100 | !-- humidity |
|---|
| 2101 | CASE ( 5 ) |
|---|
| 2102 | ! |
|---|
| 2103 | !-- Determine topography-top index on scalar grid |
|---|
| 2104 | DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 2105 | kk = k - topo_top_ind(j,i,0) !- lad arrays are defined flat |
|---|
| 2106 | IF ( .NOT. plant_canopy_transpiration ) THEN |
|---|
| 2107 | ! pcm_transpiration_rate is calculated in radiation model |
|---|
| 2108 | ! in case of plant_canopy_transpiration = .T. |
|---|
| 2109 | ! to include also the dependecy to the radiation |
|---|
| 2110 | ! in the plant canopy box |
|---|
| 2111 | pcm_transpiration_rate(kk,j,i) = - leaf_scalar_exch_coeff & |
|---|
| 2112 | * lad_s(kk,j,i) * & |
|---|
| 2113 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 2114 | u(k,j,i+1) ) & |
|---|
| 2115 | )**2 + & |
|---|
| 2116 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 2117 | v(k,j+1,i) ) & |
|---|
| 2118 | )**2 + & |
|---|
| 2119 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 2120 | w(k,j,i) ) & |
|---|
| 2121 | )**2 & |
|---|
| 2122 | ) * & |
|---|
| 2123 | ( q(k,j,i) - leaf_surface_conc ) |
|---|
| 2124 | ENDIF |
|---|
| 2125 | |
|---|
| 2126 | tend(k,j,i) = tend(k,j,i) + pcm_transpiration_rate(kk,j,i) |
|---|
| 2127 | |
|---|
| 2128 | ENDDO |
|---|
| 2129 | |
|---|
| 2130 | ! |
|---|
| 2131 | !-- sgs-tke |
|---|
| 2132 | CASE ( 6 ) |
|---|
| 2133 | ! |
|---|
| 2134 | !-- Determine topography-top index on scalar grid |
|---|
| 2135 | DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 2136 | |
|---|
| 2137 | kk = k - topo_top_ind(j,i,0) |
|---|
| 2138 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 2139 | 2.0_wp * canopy_drag_coeff * & |
|---|
| 2140 | lad_s(kk,j,i) * & |
|---|
| 2141 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 2142 | u(k,j,i+1) ) & |
|---|
| 2143 | )**2 + & |
|---|
| 2144 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 2145 | v(k,j+1,i) ) & |
|---|
| 2146 | )**2 + & |
|---|
| 2147 | ( 0.5_wp * ( w(k,j,i) + & |
|---|
| 2148 | w(k+1,j,i) ) & |
|---|
| 2149 | )**2 & |
|---|
| 2150 | ) * & |
|---|
| 2151 | e(k,j,i) |
|---|
| 2152 | ENDDO |
|---|
| 2153 | |
|---|
| 2154 | ! |
|---|
| 2155 | !-- scalar concentration |
|---|
| 2156 | CASE ( 7 ) |
|---|
| 2157 | ! |
|---|
| 2158 | !-- Determine topography-top index on scalar grid |
|---|
| 2159 | DO k = topo_top_ind(j,i,0) + 1, topo_top_ind(j,i,0) + pch_index_ji(j,i) |
|---|
| 2160 | |
|---|
| 2161 | kk = k - topo_top_ind(j,i,0) |
|---|
| 2162 | tend(k,j,i) = tend(k,j,i) - & |
|---|
| 2163 | leaf_scalar_exch_coeff * & |
|---|
| 2164 | lad_s(kk,j,i) * & |
|---|
| 2165 | SQRT( ( 0.5_wp * ( u(k,j,i) + & |
|---|
| 2166 | u(k,j,i+1) ) & |
|---|
| 2167 | )**2 + & |
|---|
| 2168 | ( 0.5_wp * ( v(k,j,i) + & |
|---|
| 2169 | v(k,j+1,i) ) & |
|---|
| 2170 | )**2 + & |
|---|
| 2171 | ( 0.5_wp * ( w(k-1,j,i) + & |
|---|
| 2172 | w(k,j,i) ) & |
|---|
| 2173 | )**2 & |
|---|
| 2174 | ) * & |
|---|
| 2175 | ( s(k,j,i) - leaf_surface_conc ) |
|---|
| 2176 | ENDDO |
|---|
| 2177 | |
|---|
| 2178 | CASE DEFAULT |
|---|
| 2179 | |
|---|
| 2180 | WRITE( message_string, * ) 'wrong component: ', component |
|---|
| 2181 | CALL message( 'pcm_tendency', 'PA0279', 1, 2, 0, 6, 0 ) |
|---|
| 2182 | |
|---|
| 2183 | END SELECT |
|---|
| 2184 | |
|---|
| 2185 | END SUBROUTINE pcm_tendency_ij |
|---|
| 2186 | |
|---|
| 2187 | |
|---|
| 2188 | END MODULE plant_canopy_model_mod |
|---|
